diff --git "a/data/dm_maths/full_data_1/10784_11255.jsonl" "b/data/dm_maths/full_data_1/10784_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10784_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in -1552*d**2 - 1555*d**2 - 1 + 3108*d**2.\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 262215020 to the power of 1\/2, to the nearest integer?\nAnswer: 16193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 232*b**2 - 791*b - 129847. Determine m(-231).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, -3\/8, -1333 in increasing order.\nAnswer: -1333, -1, -3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u. Let t(z) = 2*z**3 + 2*z**2 - z - 1. Let i(n) = 3*p(n) + 2*t(n). Calculate i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f - 46. Let w be s(4). Suppose 5*r - 4*r = 5. Suppose -5*i + 3*h - 5 = 0, r*i - 2*i + 3 = -4*h. Which is bigger: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276976915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5*v = -15, -9 = -3*q + 2*v - 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0 - 7\/20*x**5 + 12*x - 3*x**2 + 0*x**3 + 0*x**4. Differentiate q(g) wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -119.\nAnswer: -119, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.24535kg to nanograms.\nAnswer: 34245350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 28 = 4*i - 8*a - 100, 0 = 19*a - 22*a - 15 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110000001 (base 2) in base 16?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/21350 and -37\/1525.\nAnswer: 21350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187) + (sqrt(187) - 1*sqrt(187)*4) + sqrt(187) + 5*3*sqrt(187))\/(sqrt(275) - sqrt(275)*-4 - -4*sqrt(396)).\nAnswer: 15*sqrt(17)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1, -97 in increasing order.\nAnswer: -97, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2910 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrjgrgrjgrrrrrg. Give prob of sequence rgjg.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 3*o + 100. Let r be 5\/o - 13\/16. Let k = -73\/112 + r. Are -2 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from vrcrkkgv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnqnqqnqqnqqqqnqnqq. Give prob of picking 1 q and 3 n.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.3 (b) -4 (c) 5\/3 (d) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134459184 to the power of 1\/2, to the nearest integer?\nAnswer: 33682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95 - -34 - -25) + 39 - (-1 - (1 - -71))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 343\/288332 or 1?\nAnswer: 343\/288332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.5 (b) 4\/3 (c) 2\/17 (d) -2 (e) -1 (f) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 9 - 1. Suppose 0 = 4*r + 4*w - 3088, -2*r + 3*r - 5*w = 748. Let l be r\/30 - q\/(-10). What is the greatest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 3*v - 2*v + 5*v - 2*v - 2*v - v + 3*v - 3*v + (-1 - 3 + 6)*(-1 - v + 1) - v + 3*v - v + (2 + 1 - 2)*(-5 + 0 + 7)*(-4*v + 3*v - v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*k + 14, l + 2*l + k = 1. Let j = l + 1. Suppose 12 = j*i - 4*z, 0 = -i + 6*i - 3*z - 58. Solve i + 6 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 652, 1332, 2022, 2728, 3456, 4212?\n\"Answer: w**3 - w**2 + 676*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:02 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 3:44 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 - 3*j**3 - 157.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 337 by -175862.\nAnswer: -337\/175862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 915?\nAnswer: 1189.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*z**4 + 17*z + 328*z**4 - 12 + 29*z**4 + 6 + 6*z wrt z.\nAnswer: 7512*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 6:16 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5377490351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001084 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 46*i + 780. Give q(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 764, -1\/5, 2\/5, 0.04 in increasing order.\nAnswer: -1\/5, 0.04, 2\/5, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -937 + -409?\nAnswer: -1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8167140*j**2 - 6*j + 8167138*j**2 + 25 - 80*j - j + j**2 + j + (2 + 0 - 1)*(-j**2 + 3*j**2 + 0*j**2).\nAnswer: j**2 - 86*j + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u + 93560. Suppose -4*g + 0*g = -u. Suppose -4*q - 20122 = g. Round q to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92086?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * -2.5532\nAnswer: -0.536172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from yfzfymfzfzvd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:30 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (15 - -1) + -6 - 13 - 37\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407303784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9 - 723*n**2 + 5*n**3 - 3042*n + 0 + 9 - 628*n wrt n.\nAnswer: 30*n - 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2682656 to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -3, -0.4, -68?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111110010 - 100?\nAnswer: -1000111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 y when three letters picked without replacement from ykkikdkkiakidyid.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5827.9 + -5828. What is the nearest to z in 65.99, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1302 + -5?\nAnswer: -1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1611 or 28?\nAnswer: -1611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:11 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 8254*x + 463980.\nAnswer: 2*(x + 57)*(x + 4070)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8199 or 8201?\nAnswer: 8199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 110 + -120 - (103 - 2)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (33 - 36)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 12:46 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, 2\/27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let n = -2 + 2.04. Let g = n - -0.16. Sort g, 0, l in ascending order.\nAnswer: l, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*l**5*s - 107845*l**5 - 3*l*s - 2*l - 36469*s + 1 wrt l?\nAnswer: 360*l**3*s - 2156900*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 0*n**3 + 1\/2*n**4 + n**2 - 1 + 0*n. Find the second derivative of z(i) wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkpn when four letters picked without replacement from punnnnddnkknnn?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 5, -47, 0.4, 36.74?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, h: 4}. Give prob of picking 2 a and 1 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1 - 2) + 1. Let x = l - -5. Let s be 3300000\/(x + (1 - 3)). What is s rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 221 - 135. Let y = -119 + 66. Let t = c + y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/219, 5\/3, 0.3, 0.169, 0.4?\nAnswer: 1\/219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-2 - 92\/(-13)). Is 1 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3, -10*b + 23*b = 3*b + 14*b + 3*v + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.1 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7116 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -822 - -5?\nAnswer: -81c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrrtrrtrrrmtt. What is prob of picking 2 t?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, 1\/3, -28.45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(-36) + (-2)\/(-9). Let h(p) = p**3 + 7*p**2 + 7. Let x be h(-7). Let o = j + x. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -65*i**3 - 52*i**2 + 52*i + 52. Let s(p) = 2*p**3 - 4*p**2 - 8*p + 17. Let q be s(2). Let v(l) = -l**3 - l**2 + l + 1. Determine q*b(n) - 52*v(n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 19 = -4*p + 56, -5*x - 15 = 0. Let c be 8 + 2\/(-1) + -1. Suppose -91 = -c*m - r, 12 = m - 2*r - p. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39.6 and 0.4?\nAnswer: 15.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-21)*(-3)\/6*(-4)\/(-5)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 - 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75579771 - 294086?\nAnswer: 75285685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 751410447 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/(2 - (-55)\/(-20)). Let r(u) = 8*u + 2. Let l(i) = 17*i + 4. Let o(g) = 3*l(g) - 5*r(g). Determine o(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4043837*y**2 - 2021870*y**2 - 2021886*y**2.\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1577 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 419 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*j*k**3 + j*k - 19*j - 1560*k**5 - 96 wrt k?\nAnswer: 138*j*k - 31200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.444 + 4.244. Let q = -56 - -59. Let h = 5 - 10. Which is the nearest to 0.1? (a) q (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/962?\nAnswer: 1\/962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-27) + 3504\/27?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from tahhhahah?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 - x - 2*x + 6 - x. Let s(u) = 6*u**2 + 3*u - 7. Let i be ((-3)\/(9\/(-6)))\/((-6)\/9). Let h(q) = i*w(q) - 4*s(q). Differentiate h(c) wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478069, -1912279, -4302629, -7649119?\nAnswer: -11951749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1887410 and -59\/68550.\nAnswer: 28311150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22171, -34842, -47513, -60184?\n\"Answer: -12671*d - 9500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 171553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*h = -6*h - 7, -4*h + 9 = -106*l + 115*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/(t\/(t\/((t\/(t\/t**(-2)))\/t)))*t**(-3)\/(t*t\/t**3))\/((t*t*t**6*t)\/(t\/(t**(-1)\/t))*(t**(-1\/5))**(-2\/43)) assuming t is positive.\nAnswer: t**(-1292\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 313676687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*j = j - 30, -3*p + 2*j = -70. Suppose -2*y + p = 3*y. Suppose -3*l - 23 = -y*l. Do 23 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/145 smaller than 972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3652 and 43\/6?\nAnswer: 10956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*c**2*t*v + 19*c**2*t*y - 168*c**2*t + 2*c**2*y + 2*c*t*v*y - 3*c*t*v - c*t*y - 2686*c*v*y - 2*v wrt c?\nAnswer: -26*t*v + 38*t*y - 336*t + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q - 7. Let x be v(-3). Suppose -i + 117 = x*i. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.77 + 4.92. Let d = -3.75 - -3.1. Let n = d - y. Which is the third biggest value? (a) n (b) -13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -3*r**8\/112 + r**5\/15 + 3*r**2. What is the third derivative of q(b) wrt b?\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(8\/3)*x)\/((x*x**(1\/5))\/x)*(x**4*x)**(1\/91) assuming x is positive.\nAnswer: x**(4807\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k + 2*n = 18, -k + n = -3. Let w = k + -13. Let t = w - -12. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -267 smaller than -267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22841 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - -60 - (1 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2110595, 2110968, 2111341?\n\"Answer: 373*g + 2110222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96325953 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 849 + -847. Calculate the greatest common divisor of 134 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - 1*-1*sqrt(78))\/(sqrt(6) - sqrt(378)\/sqrt(7)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*d**2 - 767 + 767 - 3*d wrt d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - v - 22 = -6*r, 4*v - 17 = -5*r for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/5*(-11 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 - (-96 - -96 - 23).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493 - s**2 + 596 + 225 + 221 + 228 + 223.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000620013 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2577228 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/6 of a century in months?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -101. Suppose 499 + 266 = -17*c. Let u = m + c. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-181125)\/27)\/(-25)*(-138000 + 0). What is t rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(19) + 1 + (1 + sqrt(19))**2*3.\nAnswer: 5*sqrt(19) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1078 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 11:29 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((0 + 5)\/70). What is the units digit of u*(5 + (2 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxoz when four letters picked without replacement from {z: 4, w: 1, x: 1, o: 4, k: 1, n: 1}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 31 = g + 11, -4*g + 52 = -a. Let q = 2 - -33. What is the remainder when q is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:53 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 3, q: 1, l: 2, m: 1, n: 3}. Give prob of sequence mddn.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -m - 10, 50*m - 51*m + 30 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.812\nAnswer: -2.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2213982 times -13?\nAnswer: -2.8781766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2104.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 5:56 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62170, 2, 3 in ascending order.\nAnswer: 2, 3, 62170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674301260, -1348602518, -2022903776, -2697205034?\nAnswer: -3371506292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -28*(20\/8 - 3). What is the tens digit of (-6)\/2*(-3 - m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-72))\/((-1)\/4)*0. Which is the biggest value? (a) p (b) -3 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 90*k**2 + 405*k + 395. Let g(m) = -109*m**2 - 406*m - 393. Let c(q) = -5*g(q) - 6*o(q). Factor c(l).\nAnswer: 5*(l - 81)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 47 + 49 = 0. Let g be d\/14 - 2\/7. Suppose 2*o + f - 4*f - 8 = 0, 3*o - 7 = g*f. Is o at most 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 49000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4427 + -88517\/20. Let x(m) be the second derivative of 0 + p*m**5 + 29\/6*m**3 - 48*m + 0*m**4 + 0*m**2. What is the second derivative of x(i) wrt i?\nAnswer: 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.7488l in millilitres?\nAnswer: 681748.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10426 + -53?\nAnswer: 10373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 48382, 48326, 48266, 48202, 48134?\n\"Answer: -2*a**2 - 50*a + 48434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4473013 months in years?\nAnswer: 0.203941775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/33 and -35\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 4*f = 17*j + 36, 5*j - f = 81. Solve j*b + 18 = 21*b + 3*p, -3*b + 3*p + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 7567\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 415 - 384. Suppose -8 = -l + 4*m, q*m = 4*l + 28*m - 19. Solve l*h + 4*h = -24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 b when four letters picked without replacement from {n: 6, m: 1, b: 8}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 935028209 divided by 4119067?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-10)*-6 - 2\/2. Let g(w) = -w**2 + 3*w + 1. Give g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3020 is divided by 179.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/249951 and -54\/187.\nAnswer: 2749461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 562 + -567. Sort 3, 103, s.\nAnswer: s, 3, 103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-240)\/(-36)*174\/8. Suppose 0 = 3*d + 2*d - i. Suppose j = d - 19. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyffyyy. What is prob of picking 2 f?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31001 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and 12.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90820 by -18164.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:33 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*-3*2)\/(sqrt(48)\/sqrt(128)) + 1)**2.\nAnswer: -40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*g + 1252 = -4049 + 57 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*l + 9, 3*o - 2*l = 0. Factor 456*c + o*c**2 - 12996 - c**2 + c**2 - 6*c**2.\nAnswer: -4*(c - 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -5*x**7\/21 - 11*x**6\/60 + 511*x**5\/15 - 531*x**2 + 2*x + 1. Find the third derivative of o(c) wrt c.\nAnswer: -1200*c - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Let d be (-5)\/((-6)\/(-6)*(1 - -1 - 3)). Suppose -b - 3*g - 5 = -2*b, -4*b = 2*g - 6. Solve -d*j + b = -s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 = 325*l - 1894 - 1855 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 37 - 57. Let y = 20 - p. Solve j - 5 = -y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -66. Suppose w = -16*a + 13*a - 9. Let x(g) = 2*g**3 + 3*g**2 - 3*g + 3. Calculate x(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 7*b**4\/6 + 20*b**3\/3 + 8*b**2\/3 - 920. Determine m so that y(m) = 0.\nAnswer: -4, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w + 3*w)*(33*w - 12 + 12)*(-w + 2 - 2) in the form f + x*w**2 + k*w**3 + m*w and give k.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 177*d + 186 + 46 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 705853335 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4946395138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*w - 142 + 142 to r*w + a and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/4 + 15*p**2\/2 - 63*p + 98 = 0. What is p?\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*h - d, d + 23 - 71 = -2*h. Solve 5*u - h = 5*o, -u - 9 = -14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmuuuubuu. Give prob of picking 2 u.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*p - 593292*d**2 - 2484*d + 166*p wrt d?\nAnswer: -4*p - 1186584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44745 and 192945.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58995382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -105*k**3 + 4*k**2 + 7*k + 14. Is s(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:08 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.573 - 0.5728604. What is u rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1418723 less than -1418720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19345 * 57.3\nAnswer: 1108468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.16. Let o = -0.7572 + -0.2428. What is the closest to -2\/5 in m, o, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 70 + 644 = 0. Let p = l - -531. Suppose -p = -2*v - 0*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d + 1. Let y(t) = 9*t**2 + t - 2. Let h(n) = -8*n**2 + 1. Let w(v) = 4*h(v) + 3*y(v). What is 3*f(r) + w(r)?\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-321)\/21 - (4 + (-30)\/7). Let z(x) = 2*x - 1. Let m be z(7). Let w = m - v. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -4. Let s = 7 + a. Let u be (2\/s)\/(1\/(-61500)). Round u to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 14) in base 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/317 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - -2) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27550077*l**4 + 35805089*l**2.\nAnswer: 661201848*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3 + 33500*v**2 - 32718416*v - 32751920 = 0.\nAnswer: -1, 1130, 7246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 110. Solve 3*p - 2*q + 16 = 0, b*q - 22 = 4*p - 3*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + k + 107, -4*q + 78 + 14 = -4*k. Let u be q\/(-32) - 3\/(-6). Let a = 64 - 64.1. What is the fourth smallest value in -0.3, u, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3 + 3)*(10*l - 41 + 41) + (-3*l + 2*l + 2*l)*(4*l - 4*l + 3*l).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/10)\/((-10)\/(-75)). Let k be (y\/16)\/((-1)\/(-4)). Solve -k*i - 9 = -0*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2680 = -3*h + h, 0 = 3*j - h - 2008. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**5\/20 - m**4\/6 - m**3\/6 - m. Suppose -6*b + 90 = -0*b. Suppose -4*h = i + 13, -2*h - b + 4 = -i. Calculate q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*o + 12668 = 0, p + 64*o - 6411 = 55*o. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*s - 65 + 559 = 244*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9 * 3150.\nAnswer: 12285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 + 148. Suppose 0 = 2*t + k*i + 4, 0 = -t + 5*i + 6 + 6. Solve t*w + 4*c + 6 = 0, 4*w - 5*c - 40 = -0*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*v = 20, 4*v = 2*x + 3*v + 10. Let w(n) = 5*n. Let b(o) = 11*o + 1. Let m(d) = -6*b(d) + 13*w(d). Let p be m(x). Are p and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z - 7*z + z + 361*z**3 - 359*z**3 - z**2 to the form r*z + g + y*z**3 + k*z**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 + 11 = -24*k. Round k to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 16. Let a be (4 - 1)*(10 + y). Suppose -a - 7 = -o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 2*r + 32, -5*r = 3*m + 54. Suppose -5*p - 159 = 266. Let h = r - p. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 17*v = -c + 5, -9*c - 51 = -5*v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69845503 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5675 = -3*d, -6*v + 2*d = -10*v + 11378. What is the smallest common multiple of 16 and v?\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.1. Let k = -2\/35 + -31\/70. Is y > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 17. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 492.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -8) + -1 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-6650)\/(-228))*(-250)\/(-675).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 1257, 2950, 5351, 8454, 12253, 16742?\nAnswer: 21915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, 491, 1893, 4615, 9101, 15795, 25141, 37583?\nAnswer: 53565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -775 * 141.\nAnswer: -109275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from ggyrjjgjgjgrhhghgjyh.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(77)\/(sqrt(21)\/sqrt(3) + sqrt(7)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a (base 11) in base 13?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -335125.\nAnswer: 2\/47875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 - (-34 - (-36 + 15) - -1 - -3).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4530 = 2*c, 3*c - 8237 = -4*i - 1441. Let q = c + -2266. Determine u so that 0 + 7\/3*u**3 - 4*u - 1\/3*u**4 - 4\/3*u**q = 0.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**5 - 2*r**4 - 61*r**3 - 2*r**2 - 270*r + 2?\nAnswer: -240*r**2 - 48*r - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3389422.\nAnswer: 2, 37, 163, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -10011?\nAnswer: -10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10075 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**3 - i**2 + i - 1. Let r be c(1). Suppose 44 = 2*w - r. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201500 divided by 3375\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7569.8019 to the nearest ten.\nAnswer: -7570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9433 - 9433 + 69*q as w*q + v and give w.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.061, -32, 4, -4?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/11, -3, -1\/4, -0.4, 2, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 7*l**2 - 7. Let w be j(-5). Suppose 4*d - 63 = -5*c + 5, -4*d + w = 2*c. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -20*f + 22*f - 4*q, 3*f - 4*q + 14 = 0. Solve f*s = 2 + 10 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 3*(2 + -3). Solve -3*m + 9 = a, -3*i = -2*m + 5*m - 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148376.6mg in tonnes?\nAnswer: 0.0001483766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -47, -155, -371, -731, -1271?\n\"Answer: -6*o**3 + 6*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*g = 9, 12 = z + 2*z + 4*g. Suppose v + 5*a - 20 = 0, z*v + 2*v - a = 7. Solve 2 = v*k + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*w + 15*d - 17*d, 0 = -2*d - 8. Suppose 2*x + 15 = 5*x. Suppose -5*k = 3*g - 7*g - w, 4*k - x*g = 13. Solve 4*r - 9 = k*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0 = -25. Suppose 0 = -2*z + 47 + 63. Suppose -z = -r*t - 0*t. Calculate the highest common divisor of t and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -6. Let q = -6 - g. What is the third smallest value in -0.4, 2\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 27, -3.\nAnswer: -4, -3, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.148 - -0.448. Which is the fifth smallest value? (a) -8 (b) p (c) 0 (d) 5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1933113 and 3549.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661, 1338, 2019, 2704, 3393, 4086, 4783?\nAnswer: 5484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(8\/4))\/((-20)\/((-400)\/(-20)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/3, 2\/17, 0.2, 35029?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*l + 12 = 0, 5*r + 2*l - l + 18 = 0. Let u(c) = -4*c**3 + c**2 + 2. Let z(w) = -4 + w**3 + 1 - w**2 + 6*w**3. Calculate r*z(x) - 5*u(x).\nAnswer: -x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) -0.16 (c) -20 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -1267, 0.3, -5 in decreasing order.\nAnswer: 0.3, -4\/5, -5, -1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((0 + sqrt(1053))*5*-1)**2 - (sqrt(468)*3 + sqrt(1872)*1)))*6.\nAnswer: -180*sqrt(13) + 157980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/7*2*46\/14*(-84)\/48?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-45)\/(-30))\/3)\/((-10809)\/10810 - -1).\nAnswer: 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10973, -15198, -19423, -23648, -27873, -32098?\nAnswer: -36323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, g: 16}. What is prob of picking 4 g?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 62 = -4*w, 1044 - 1082 = 3*w - h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*j + 4 - 47, 55*z - 3*j = 51*z + 9 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117924, -33, -1.\nAnswer: -33, -1, 117924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 10 = -o. Let l = -47 - o. Round l to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 11618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.509 + 9.599. Put -1, -2, w, 0.1 in decreasing order.\nAnswer: 0.1, w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -205 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/(-105) - 1163191\/(-795) is divided by 730.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 3. Suppose -2*b + 41 = -15. Let m = b - f. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, o: 7}. What is prob of sequence oo?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/33)\/(4\/44). Suppose k = h*q + 2, -q + 5*k = -13 - 4. Is 4 a factor of q*1 + (48 - -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 6*o**2 + 3093. Let q(l) = 90*l**2. What is u(q(s))?\nAnswer: 1080*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246 + -115. Let y = 186 - x. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 714 (c) 7626 (d) 0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u = 14*u + 31. Which is smaller: u or -1\/2080?\nAnswer: -1\/2080","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -615820.\nAnswer: -246328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 170473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372731149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17300 + 16630 = 67*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -165.03 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 = 3*c, -4*d + 4 = -2*d - 4*c. Let m be 9\/((-4)\/(8\/3)). Does d = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10435 > 10435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (203\/(-28))\/(6\/(-1104)). Calculate the highest common divisor of 184 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11260 divided by 20.\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -14. Let f = 2 - -1. Let u be 57\/95 - (-11)\/(-15). What is the smallest value in f, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h*h\/(h\/h**1*h*h))\/(h*h\/h**0*h*h\/(h*h**(3\/4)*h))*((h\/(h*h*h**(-1\/16)))\/h**3)\/(h*h\/h**(1\/4))**45 assuming h is positive.\nAnswer: h**(-1407\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(-1*1\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27 + 1)*(-3)\/6. Let i be ((-8)\/14)\/(x\/(-182)). Suppose -5*j = 5*v - 295, 4 = -i*v + 4*v. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92676, -185362, -278048, -370734, -463420?\nAnswer: -556106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -k, 0 = 5*k - 3*k + 3*o. Suppose -3*f + 5*r = -k*r - 47, 4*f - 28 = -2*r. Solve 4*j - 3 = f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 11 + 52 - 3*m + 4*m.\nAnswer: m + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {x: 8, g: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.2 times 7381?\nAnswer: 1012673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7793 + 13738. Let a = q - -13480. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -4)\/((-10)\/(-4))*-2. Is 2 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -37. Find the common denominator of -49\/20 and (-45)\/20*74\/f + -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6628212 and 6.\nAnswer: -39769272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2604, -2857, -3110?\n\"Answer: -253*m - 2351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*p - 8*p. Let d(r) = -r**2 + r - 1. Give d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2. Let j(u) be the first derivative of 21*u - 36 - 21*u - 25 + 38*u**2 + 28*u**2. Calculate z(j(f)).\nAnswer: -34848*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12122*x + 12122*x - 70964*x**2.\nAnswer: -70964*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/(-7)*189\/(-6). Let r be (-28625)\/(-3)*u\/9. Round r to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 - 24*w + 7. Let p be m(5). What is the tens digit of (-1)\/(((-39)\/(-2889))\/p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 7356*p - 88128.\nAnswer: -(p - 7344)*(p - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18, -4, -5 in decreasing order.\nAnswer: 18, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f**3 + 35*f**3 - 30*f**3.\nAnswer: -62*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*k - 11, 4*c - 128 + 52 = -4*k. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**2 + 26*a**2 + 99*a**2 + 105*a**2.\nAnswer: 213*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u**2 - 3 + u**3 - 4*u**2 + 0*u + 6*u. Suppose 0 = 6*m - 8 - 4. Let o be -1*(28\/2)\/m. Determine n(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1116)\/(-930)*40\/(-44)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(832) - (sqrt(832) + sqrt(832)*-2 - sqrt(832) - sqrt(832))) + sqrt(832)*-2 + 3 + -1 + -1*sqrt(832) + -5)**2.\nAnswer: 32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/(-10) + 3\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9548, -9586, -9638, -9710, -9808, -9938, -10106, -10318?\nAnswer: -10580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2835*p**2 - 11250*p - 19. What is w(4)?\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 20001*r + 4. Let o be (3 - 1)\/(1 - -1). Let t be (12\/(-30))\/(o\/10). Let f be h(t). Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10\/(y*y\/(y*y\/(y\/y**(4\/17))*y)))\/(y\/((y*y\/(y*y\/(y*y**(-10))))\/y))**(-44) assuming y is positive.\nAnswer: y**(8402\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -33. Let d(h) = -28*h + 2694. Calculate the remainder when u is divided by d(96).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iittivvvvvtvvvivvv. Give prob of picking 1 v and 3 t.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 82 = -6*f. Let y = -5 + 7. Suppose -f = -c + 4*p, -y*p - 4 = -0*p. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 1179646215.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4 - -7) + 2 + -155 + 121?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 252 = -12*w. Calculate the remainder when 17 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, 0.4, -0.4, 5, 2\/21, 6\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by -64.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1501b (base 15) in base 11?\nAnswer: -46808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5100903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6976069 and 799?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -23*k. Let r(c) be the second derivative of 5*c**4\/4 + 28*c + 142. Give r(f(o)).\nAnswer: 7935*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(1331)*-2 + -4).\nAnswer: -66*sqrt(11) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + l**2 - l + 1. Let i(r) = -4*r**3 + 6*r**2 + 6. Let g(y) = -i(y) + 6*u(y). Find the second derivative of g(a) wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1775088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3607\/2434 + -22\/1217. Put -5, -21, -0.012, i in decreasing order.\nAnswer: -0.012, i, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 9:35 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/(30\/(-1215)). Suppose m*t = 22*t. Suppose t = 4*d - z - 279, 0*z = -4*d + 2*z + 282. What is the remainder when d is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 319*r**2\/2 + 2*r + 1241. Let p(v) = 2*v. Calculate p(q(j)).\nAnswer: 638*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 23. Calculate the remainder when 6 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000291 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597 - 1246 + 649 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 12:42 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*g**3 + 85*g**2 + 37*g - 2866513 wrt g?\nAnswer: -42*g**2 + 170*g + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 973 and 54551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53129831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {a: 5, x: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 73701769 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10135\/(-6081)*9\/705.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 + 0.2. Let l = m - -2.24. Let p = l - 11.24. Are 1 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831 equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19768\/5715 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0)\/((-80)\/32 + 11)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.01 (b) 1 (c) -8\/53 (d) 0 (e) 2\/5 (f) 68 (g) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(245)\/(-1*sqrt(7)))\/(-3*sqrt(14)\/sqrt(2)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280 + 288 - 1365 + l + 277 + 438.\nAnswer: l - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1954 times 0.1\nAnswer: 195.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1107 by -27.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 4)\/((-1111)\/3). Let r = 417278850563\/306858519968 + 77\/39457184. Let v = c + r. What is the common denominator of -83\/18 and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*a**3 - 5*a + a + 166*a**3.\nAnswer: 15*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w - 3*w)*(2*w - 605 + 605) + (2*w + 111 - 8*w**2 - 111)*(2 - 3 + 0).\nAnswer: 6*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195594.91203 - -0.082.\nAnswer: -195594.83003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, 1 i, and 1 q when four letters picked without replacement from {g: 2, i: 2, y: 1, c: 4, q: 1, z: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18477 - 17652. Calculate the lowest common multiple of 39 and h.\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50158 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 o, and 1 e when four letters picked without replacement from oeeeyoebobeebebeeooe.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.03 - -0.97. What is the biggest value in -3, 0.3, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1180 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -47.09. Let x = 1.91 - m. Which is the smallest value? (a) -0.3 (b) 5 (c) -6 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:53 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/23, 0.008, -26, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*z + 33 = -z, z - 18 = -o. Let q = o + -15. Suppose f - 18 = q. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 3*o - 295 - 11 + 60*o - 28*o - 27*o.\nAnswer: 2*o - 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/13 + 17\/26. Let w = 44 - -18. Let h = w + -61. What is the nearest to k in h, 5, -1\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 223 + 144 + k + 24*k**2 + 71.\nAnswer: 24*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*c - 97*c + 2576*c**3 - 3*c**2 - 3*c**2 - 2577*c**3.\nAnswer: -c**3 - 6*c**2 - 241*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -21\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - k - 1. Let i(d) = -20*d**3 + 2*d**2 - 5*d - 4. Let m(z) = i(z) - 3*n(z). Let c be m(-1). Suppose 4*l = 6*l - c. Solve l = -3*b + b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 159, 197, 235, 273, 311?\n\"Answer: 38*c + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, p: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 3*x + 50 + 51 - 105, -4 = -3*r + 2*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -88413, -176175, -263927, -351663, -439377, -527063, -614715, -702327?\n\"Answer: i**3 - i**2 - 87766*i - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 21. Let t(m) = -m**3 - 3*m**2 - 3*m + 2. Let y be t(-3). Let f = y - w. What is the least common multiple of f and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154186013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 33.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767078?\nAnswer: 2, 13, 163, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39913, 39879, 39845?\nAnswer: 39811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2042345603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-6)\/4 + (-100)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r + 8. Suppose 5 = 5*d - 0, -w + 5*d = 9. What is the smallest common multiple of 2 and o(w)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 43 + 2 = -5*t, -3*t = -2*h - 17. Let l be (8\/h)\/((-1)\/185). Suppose -4*q + l + 360 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-24)*-2*1\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-22) + 100\/55. Suppose -2 - 16 = -3*q + k*h, 0 = -4*h. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 19. Let a = -9 + 3. Let i be l(a). Suppose -i*v - v + 26152 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3273*q + 3271. Calculate d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z**2. Let o = 4464 + -4460. Let i(c) be the second derivative of 0*c**2 + 0 + 0*c**3 - 1\/12*c**o - 15*c. Determine i(b(s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/63*294\/27*-1*210\/20?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 19*x = 17*x + 2, 4*x = 24. Solve -q + 1 = f, -3*f = -4 - c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(sqrt(156)\/sqrt(96) + (sqrt(26) - (sqrt(26) - (1*sqrt(2600) - sqrt(2600)))))\/((-3*sqrt(66)\/sqrt(3))\/sqrt(11)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/13 + -4\/39. Let f = 16 + -11. Sort f, o, 2\/5 in ascending order.\nAnswer: o, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**3 + 51*z + 2033. Let l(p) = -2*p. What is l(i(o))?\nAnswer: -6*o**2 - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 80, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1218, 1213, 1196, 1161, 1102, 1013?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5782.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -3 - (2 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {b: 1, u: 2, v: 2, h: 2, f: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -574*l + 6. Let c be j(3). Is 0 + (c\/(-10) - 8\/(-20)) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 660*z**2\/7 + 7576*z\/7 + 2544.\nAnswer: 2*(z - 318)*(z - 14)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-7\/5))\/(k**(2\/3)\/k) assuming k is positive.\nAnswer: k**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 559417926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1887664316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892231 is divided by 2066?\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5785c9 (base 15) to base 12.\nAnswer: 1496890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/200 and -99\/6100.\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711125?\nAnswer: 5, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - 1\/(-1 + 2). Suppose -8 = -2*j - 2*j. Suppose -75 = j*h - y*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -338 divided by 2565\nAnswer: -338\/2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62546094 is divided by 8935155.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9039, -9041, -9045, -9051, -9059, -9069, -9081?\nAnswer: -9095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let l = -15.3 - -45.4. Let y = -30 + l. Is y at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3475*n**2*q**2 - 26*n**2*q + 1278986*n*q**2 - 1 wrt n.\nAnswer: -6950*q**2 - 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1596, 1595, 1592, 1587, 1580, 1571?\nAnswer: 1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -0.06297.\nAnswer: -0.36297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Solve 0 = 4*t, -5*i = -x*t + 26 - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/6)\/((-12)\/4*(-1)\/(285\/(-38)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 294?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-22)\/132*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {d: 2, r: 5, v: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160107469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11735 - -12485. What is the least common multiple of a and 60?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 3*r**2 - 6*r - 6. Let y be j(5). Suppose 0 = 3*w - y - 16. What are the prime factors of 8\/20 - (-126)\/w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1098 - 928. Find the common denominator of 25\/98 and 7\/((-210)\/5) + z\/75.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123906.33 + 0.3?\nAnswer: -1123906.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/36 and (2754\/(-2176))\/(17\/2).\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*l - 19 = 0, -5*l + 23 = 4*q - 0*l. Suppose 42 + 52 = a. Let t be a\/3 - q\/(-3). Calculate the highest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l + 5. Let j be m(-11). Let o = -212227\/13916 + 2\/3479. Find the common denominator of o and (6\/4)\/(j\/(-116)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 737 = 1711. What is the remainder when s is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 6*b + 9 + 4 = -4*r - 3*b, -r = 4*b + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16421456 divided by -34\nAnswer: -482984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**5 - 3*x**5 + 2*x**5)*((-2 + 4 + 0)*(2 - 2 - 1) + 40 - 8 - 5).\nAnswer: -75*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2137 = 5*r + h + 316, -2*h = 2*r - 738. Calculate the highest common factor of 220 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 49*b + 287 = b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8800 and 28600.\nAnswer: 114400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1545 - -75. Suppose -5*r - 13*r + y = 0. What is the highest common divisor of r and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by 24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/25)\/((-2)\/(-40)). Suppose -c = -a - a. Calculate the greatest common divisor of 252 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*6*-1*-1. Let k be 23\/(69\/6)*34\/4. Let n(c) = -c**3 + 17*c**2 + 4*c - 58. Let v be n(k). Solve l - j*l + v = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2738 + 4?\nAnswer: -2734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123122 + 22221112?\nAnswer: 23010300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3867 is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/489, -1\/4, -1\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1155450 - 50?\nAnswer: 1155400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.46? (a) 0.03 (b) -1\/32 (c) -16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 12, 960*o + 3*k + 194 = 962*o. What is the remainder when 397 is divided by o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:44 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61497, 61498, 61499?\n\"Answer: n + 61496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 2*u + 3. Suppose -f = -11 + 9. Let p be y(f). Suppose 3*n = 2*c - 10 - 24, -94 = -5*c + p*n. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3607261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1.75, -238?\nAnswer: -1.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/366, 5, -0.4, 0.04, 7 in descending order.\nAnswer: 7, 5, 0.04, -1\/366, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3739680 divided by -212.\nAnswer: -17640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d + 0)*(-7 - 3 - 6)*(-2*d**3 + 0*d**3 + d**3).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 11:40 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(5\/4))\/2. Let y be 3\/n*30\/(-45). Is 846\/18 + 4\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 86ad176 + 2?\nAnswer: 86ad178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Let a(q) be the first derivative of 6*q - q + 20*q**3 - 20*q**3 + q**y + 2. Differentiate a(r) with respect to r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/2 + (-54)\/(-9))\/((-4)\/186) is divided by 125.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f = -51*f - 5*y - 61, 3*f + 2*y - 331 = -368 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -k - 3*k. Suppose -5*n = f + 2, -2*f = -6*n + 2*n - 24. Let l = f - k. Calculate the remainder when 3 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.519 - -0.589. Let p = 10 - 15. Which is the smallest value? (a) g (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438120 (base 13) in base 4?\nAnswer: 12003312102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*i**2 + 1 + 2 - 2*i**2 - 2 + (0*i - 4*i + 5*i)*(-7*i + 4*i + 2*i) + 0 + 0 + 2*i**2 + (2 - 3*i - 2)*(0*i + 2*i + 0*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -167 (b) 7\/5 (c) -0.06 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3 + 208*o**2 - 1098?\nAnswer: -9*o**2 + 416*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*o**4*w - 130*o**3*w - o**2*w + 3*o*w - 19*o + 4*w wrt o?\nAnswer: -792*o*w - 780*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1192885 centuries?\nAnswer: 143.1462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-1\/18)*j**(-9))\/(j\/j**(28\/5)*j**33) assuming j is positive.\nAnswer: j**(-3181\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.2 + -218.8. Let g = -220.1 - h. Let k = g + -12. Sort k, 3\/7, -2 in increasing order.\nAnswer: -2, k, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*n**4 + n**3 + 11*n + 8 wrt n.\nAnswer: -168*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 6*o - 7.\nAnswer: (o - 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 2. Let x = -132 - -135. Put x, -0.2, c in descending order.\nAnswer: x, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f. Suppose 14 = 4*s + 2. Let n(i) = -5*i**2 + s*i**2 - 4*i**2. Give n(p(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232 + 294*l - 294*l + 2566*l**2 + 232 to the form h + a*l + n*l**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(280\/(-72))*(-1)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8 + 24 = -4*d, o - 11 = 5*d. Let m be 2*-3 - 1 - d. Is m > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -30*q**2 + 3*q - 7. Let k(h) = 10*h**2 - h + 2. Let d(w) = 7*k(w) + 2*m(w). Let t(z) = z**2 - 2*z. Let g be t(1). List the prime factors of d(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -438 + 513. Solve -3*d + 63 = v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.83 - 0.17. Let o = 3 - -3. Which is the smallest value? (a) p (b) 0.2 (c) o (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -96\/127 (b) 1\/4 (c) 0.032 (d) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40313583*y**4 + 3821*y - 780 wrt y?\nAnswer: -483762996*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430975?\nAnswer: 5, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1025602?\nAnswer: -3\/1025602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.1035 rounded to 0 decimal places?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11990432743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 656, 987, 1320, 1655, 1992, 2331?\nAnswer: 2672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let c(q) = 1. Let z = -1072 + 1071. Calculate z*c(i) + 4*a(i).\nAnswer: 4*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17104 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*j**2 - 6654*j + 371392?\nAnswer: -22*j - 6654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*u - 107*u + 57*u + 154 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.797109ml?\nAnswer: 0.001797109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 64\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 513*t**5\/5 + 45*t**2\/2 + 4*t + 173. Find the second derivative of x(s) wrt s.\nAnswer: 6156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 38 (b) -2\/15 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 41 = -5. Let p = y + 35. Calculate the common denominator of (-12)\/(-14)*p\/2 and -93\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 14. Let i be b(-11). Let r(u) = -3*u**3 - u**2 - 3*u**i + 5*u**3 + u - u**2 + 1. Calculate r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -1056844726324.\nAnswer: -1056844726321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 27?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 344462*c**3*i**3 + c**3*i**2 - 474641*c**3 wrt i?\nAnswer: 1033386*c**3*i**2 + 2*c**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 46 = -10*v + 6*v, 3*v - 12 = 0. Let n(x) = -11*x - x + 12*x - b*x**2. Let o(k) = -8*k. What is o(n(u))?\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*u + 3464, 2*r + 2*u - 2284 = -3*u. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4 - -2) + (-46)\/(-24))\/((-1222)\/3666). Let q = 0.2 + -0.4. Let u = -2\/541 + -2154\/2705. What is the closest to u in q, j, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 21*g**2 + 14*g - 30. Calculate p(9).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (492\/82)\/(16\/(-88)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -676383717 + 676383721.00000001. Let n = t + -4. What is n rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103486949 <= 103486951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddo when three letters picked without replacement from vddodvddddoddddddvo?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -2*s + 60 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in 0.22, -7, 3, -6\/7, -1\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*2 - 0 - 1. Let b = -229 + 241. Suppose 9*x + 9 = 3*y + b*x, -3*x - 23 = -5*y. Solve -y*c + 0*c + 16 = -h, -m*h - c = 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 775*k**2 + 643*k wrt k?\nAnswer: 1550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-533)\/(-195))*3\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5261 and 3?\nAnswer: 15783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -8539080 in increasing order.\nAnswer: -8539080, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1*-4*4)**2*-2.\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, -4 in decreasing order.\nAnswer: -1\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(-1\/7)))*m)\/m)**44*(m*m\/(m*m*m\/(m\/m**(2\/17))*m))\/(m*m**(-4\/7)*m) assuming m is positive.\nAnswer: m**(4185\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2578 - 2577.978. Put -9\/4, -3\/8, y, -0.5 in descending order.\nAnswer: y, -3\/8, -0.5, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2\/4 - 29481*i\/2 + 176859\/4 = 0.\nAnswer: 3, 19651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m - 3*m)*(4 - 4 - m**3) + 0*m**2 + 3*m**4 + 0*m**2 + (m**4 - 5*m**4 + 5*m**4)*(0 + 0 - 2).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10955.3044 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(2\/5))*l)**(2\/11)\/((l\/(l*l**(-2\/5)*l)*l*l*l)\/l)**37)\/(l*l*l**3*l*l**(3\/2)\/l*(l*l**6\/l)\/l**(1\/3)) assuming l is positive.\nAnswer: l**(-21073\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56.3 - -51. Let j = -5.8 - i. Let p = 8 + -5. Which is the nearest to 0? (a) p (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 2. Let o be d(0). Solve 2*p - 3 = g, o*p - 7*p - 5*g = -30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -14*u**2 - 11*u + 20. Let b be w(11). Let c = -920 - -1785. Let j = b + c. Round j to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1375901*a + 3*j - 9 + 33 = 1375898*a, a + 4*j + 8 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 10 - 9*f + 9*f)*(f**2 - f**3 - f**2) + 17*f**5 + 52*f**5 - 10*f**5.\nAnswer: 60*f**5 - 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 40 - 23 = 0. Suppose c = 3*n - 2*k, -6 = 5*n - 7*n - 4*k. Solve 3*h - 2*r + 2 = 0, -n*h - 2*r + 5 + 9 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -324289687 or -324289688?\nAnswer: -324289687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11003 (base 4) in base 14?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -101*d**3 + 2*d**2 + 49*d + 401. Is b(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2. Let a be h(-2). What is the second derivative of -2*v + a*v + 3*v**3 + 0*v**3 wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x + 6. Suppose -4*h + 4*n = -n - 10, -n + 17 = 3*h. Suppose -2*j + 8 = h*i, -j + 5*i = 27 - 1. Let t be 1 - 1\/(2\/j). Determine b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*z**2 - z**5 - 17 - 62*z**3 + 16*z**2 + 23*z**2 - 60*z**2 wrt z.\nAnswer: -60*z**2 - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (15 - -3) - (9 - 19) - (-2 + 11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 - (5 - 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88410 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14691.1899175 - -14693.38. Let h = 2.19 - m. Round h to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 392791.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (0 + -3 + 2 - (9 + -19))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101100011000010111000 - 1?\nAnswer: -10101100011000010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/26*(-4)\/(-3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 9305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -199691, -199776, -199927, -200150, -200451, -200836?\n\"Answer: -j**3 - 27*j**2 + 3*j - 199666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 + 1948*b**3 - 9774*b**2 + 15656*b - 7832 = 0. Calculate b.\nAnswer: -979, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1133 + 1131. Let z = -1.7 + 2.1. Which is the second smallest value? (a) z (b) s (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -8*p**3\/3 + 7*p**2 + 95*p - 24. Let a(h) = -h**2 - h. Let i(z) = -6*a(z) + q(z). Differentiate i(y) wrt y.\nAnswer: -4*y + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 + -6 + 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/(t\/t**7))**(-14) assuming t is positive.\nAnswer: t**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/10 - 3359*v**3\/10 - 1796223*v**2\/5 - 509153722*v\/5 + 110174339572\/5 = 0.\nAnswer: -1166, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 413179213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-54 - -3) + 54988\/1062\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 123, 309, 601, 1017, 1575, 2293?\nAnswer: 3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117771?\nAnswer: 3, 61, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11044 is divided by 655?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arz when three letters picked without replacement from aadararzzraazaadqaq.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6))**(-1\/5)*k**(-9\/2)*k**(-2\/11)*k assuming k is positive.\nAnswer: k**(-273\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 6*h**2 + 9*h + 14.\nAnswer: -(h - 2)*(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 16) to base 6\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 15*d**3 - 13*d**3.\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897133 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37989 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - z + 102 + 234, 0 = 3*s + 5*z - 184. Let t be 2\/2*(69 - s). Sort -4, 0, t, -5 in decreasing order.\nAnswer: t, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 105 = -2*r, -2*i - 966 + 1074 = -2*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-125 - 1222 + 179)*(-2 + 2 + 2*t**3).\nAnswer: 4672*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40110 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2179237770.\nAnswer: 2, 3, 5, 29, 113, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 64.3. Let m = 10.9 - h. Let l = -21 - m. What is the closest to 0.1 in l, -5, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 26*y - 6. Let a be j(-12). Let x be (a\/(-225))\/(438*-1). Let t = x + 351509\/45990. Calculate the common denominator of t and 57\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3967828 and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c**3 - 55*c - 127. Calculate h(-3).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -149 (b) 4 (c) 0.3 (d) -1\/4 (e) -5\/4 (f) 20\/7 (g) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 1, -4, -8, 18, -6.\nAnswer: -125, -8, -6, -4, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -81. Which is the fourth smallest value? (a) 15 (b) -0.2 (c) -3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72627 at least 71646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 27. What is the nearest to l in 1\/9, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -44*r**3 + 4478*r**2 + 1730*r - 858. Let q(y) = -45*y**3 + 4478*y**2 + 1735*y - 859. Let d(j) = 2*q(j) - 3*v(j). Find l, given that d(l) = 0.\nAnswer: -2\/3, 2\/7, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*u = 4*n - 119*u - 52, 12*n + 9 - 15 = 3*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-25))\/(8\/(-5)). Let s = 11849\/13 - 911. Is s not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 152*h**2 - 218*h**2 - 207*h**2 + 455*h**2.\nAnswer: -122*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144.7156131 rounded to 2 dps?\nAnswer: -1144.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/12)\/((-4)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**46\/((s**(-2)*s)\/s)**(9\/4))\/((s**(1\/3)*s\/s**(1\/3))\/((s*s**(-8))\/(s\/(s*s**2)))) assuming s is positive.\nAnswer: s**(-187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -79104528 divided by -36?\nAnswer: 2197348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.165 - 0.465. What is the closest to -5\/4 in f, 2\/5, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + -3 + (-13 - -22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4855327?\nAnswer: 4855327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/460 - -1\/20. Let m be (-3 - (3 + -1)) + 4. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**3 - 5*a**2 - 3 - 9*a**3 - 2*a - 3. Let g be ((-5)\/(-4))\/(2\/(-8)). Let i be u(g). Calculate the highest common factor of 16 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/15, 1\/2, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*j - 281*j - 281*j.\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 957, 3840, 8647, 15378, 24033, 34612?\nAnswer: 47115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 26*u**2 + 14*u - 48. Let y be (-1)\/(-3) - 112\/21. Let s(q) = -9*q**2 - 5*q + 16. Let d(v) = y*n(v) - 14*s(v). Find t such that d(t) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-8 - 1392\/(-180)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17573*f**2 - 17573*f**2 + 329*f**4 + (0*f**3 - 3*f**3 - 2*f**3)*(4*f + f - 4*f).\nAnswer: 324*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 3 - 6*s - 3\/2*s**2. What is the derivative of j(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6941 take away -0.3?\nAnswer: -1.3941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61653?\nAnswer: 3, 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.233 minus -0.1?\nAnswer: -6.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3\/5 + 370329*r**2 + 285716692989*r\/5 + 285714841347\/5 = 0.\nAnswer: -308607, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 489178.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -365\/246 + -2\/123. Which is the nearest to -3? (a) x (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16890)\/(-990) - 4\/66. Solve 0 = -2*n - 4*p + 4, 8*n - 3*n + v = -p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -20, u - 2329 = 45*p - 48*p. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.053 + -0.11. What is n rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2580 = 47*u - 42*u. Calculate the least common multiple of 28 and u.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*q + 2277 = 0, 5*p + 3*q + 435 = 4230. Let d = 762 - p. Solve -5*y + 11 = -4*i, -3 - 3 = -d*y + 3*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -375*k - 582*k + 413*k**3 + 958*k + (-k**3 + 4*k**3 - 4*k**3)*(0 - 2 + 3) in the form g*k + j*k**3 + m*k**2 + y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 646.2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**5 - 4021*j**4 + 63*j**3 + 23807*j + 4?\nAnswer: -260*j**3 - 48252*j**2 + 378*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 380044619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, i: 2, b: 8}. Give prob of sequence bb.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (-2 + (sqrt(117) - (sqrt(117)*-2 + sqrt(117)))))*4.\nAnswer: -12*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 28 = u - 0, 4*u + 8 = 0. Let y(i) = 0*i**2 + 2*i**2 + 2*i**2 - j*i**2. Let t(s) be the second derivative of -s**3\/6 + 6*s. Determine y(t(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3331 + -2089. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(27\/(-27))\/((-15)\/(-2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404 (base 6) to base 11.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2378 - 830 - 1232*q**3 - 839 - 821 wrt q.\nAnswer: -3696*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13813\/786 + -34\/131. Calculate the common denominator of -7\/18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 432*f**3 + 4060 + 1171*f**3 + 826*f**3 wrt f?\nAnswer: 7287*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002199541 to 5 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16822.622 rounded to the nearest 10?\nAnswer: -16820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - -1 - (323 + -316)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + r**2 + r - 7. Let z be a(0). Let o = z - -14. Calculate the remainder when 27 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -5. Let s be 38\/8 - (-1)\/4. Let g = 1.6727 - -0.3273. Which is the nearest to y? (a) s (b) g (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81241 divided by 81241\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 1649.\nAnswer: 8245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:20 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1*10\/6*3)*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 26. What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u - 1. Let s(g) = -61*g - 2. Calculate 3*k(m) - s(m).\nAnswer: 73*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12972 and 19721388?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 46*d + 3*d)*(16 + 17 - 41)*(-4*d + 3*d - 3*d + (-2*d + 4*d - 3*d)*(0 + 2 + 0)).\nAnswer: 2640*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -392.963876 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*v - 5 = 0, -4*u + 2*v + 45 = -3*v. Which is the nearest to -1\/2? (a) 4 (b) -2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 2.4\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(17)*-2*4 + 1) + 4*1*(sqrt(272)*-2)**2*-5.\nAnswer: -21755 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 5. Suppose 0 = -102*v + 101*v + 3*g - 20, v = 5*g - 32. What are the prime factors of v\/i - 11\/(330\/(-2172))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2198*q = -12642 - 55496 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:01 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*g = -11 - 14, -3*d + 2*g - 9 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by ((-815)\/(-20) + -1)*(-12)\/(-9)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**2 + 201*a - 245. What is h(33)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 20*u - 1. Let v be z(1). Let g be (-4)\/(-6) - (-112)\/(-144). Let d = 2620\/17 + -154. Sort g, d, v in increasing order.\nAnswer: g, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157.8962 - 158. What is k rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/11, 2\/5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3 in decreasing order.\nAnswer: -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -171 - 7126474?\nAnswer: -7126665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, g: 5, x: 1, a: 1, b: 2, e: 2}. What is prob of picking 1 x and 1 t?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -71*r**2*z**2 - 19*r**2*z - 4*r**2 + 233*r wrt z.\nAnswer: -142*r**2*z - 19*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11*-2*4\/(-8). Suppose x*p = 10*p + 13. Calculate the remainder when 49 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, -2, 3\/8, 0, -4.\nAnswer: -4, -2, 0, 3\/8, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-2 - 0))*1. Let o(j) = -27*j**3 - 2*j**2 - j. Let r be o(t). Is r*-2*7\/(-4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:32 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfjf when four letters picked without replacement from {t: 3, f: 6, o: 1, j: 2, u: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q**2 - 3. Let i be l(0). Let f = 0.087 + 0.003. What is the nearest to -0.09 in -0.4, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-504)\/(-40) + (-3)\/5. Suppose 2*f - 6*f = -k. Let n = 0.1 + 0. What is the closest to n in 2\/5, f, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2245986*c**4 + 1980302*c**2.\nAnswer: -53903664*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3995 and 514556.\nAnswer: 2572780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/5 - 7*m**3\/2 + 21*m**2. Find the first derivative of f(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iekmvmiekkkvye. Give prob of sequence ev.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 38*g**2 - 34*g + 40. Let z be b(-18). Suppose -5*o + 62 = a - 5, 0 = -a - z*o + 62. Calculate the remainder when 327 is divided by a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 1\/22*o**4 - 1\/330*o**5 + 2*o**2 + 0*o + 0 - 3\/11*o**3. Factor d(r).\nAnswer: -2*(r - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 12*d + 10. Determine b(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953099933?\nAnswer: 101, 449, 21017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 57, 0, -0.5 in descending order.\nAnswer: 57, 41, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*w - 16*w + 5*r = -13*w - 77, 30*w + 5*r = -185 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 a when three letters picked without replacement from {s: 2, a: 2, u: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynnn when four letters picked without replacement from nynnnynnn.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230289 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10*4*1\/8*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-6) + 1\/(-3). Suppose h*a - 7*a = 0. Suppose -4 = -m + i, a = -m + 5*m - 2*i - 16. Solve -m*l = -6 - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.34976km to nanometers.\nAnswer: 78349760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116067421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176588700 and 18960.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*q**3 - 83*q**3 - 80*q**3 - 88*q**3 - 68*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5\/5 - 13218*g**4\/5 - 15137001*g**3\/5 - 1260786126*g**2\/5 - 3676597548*g\/5 - 2430935208\/5 = 0.\nAnswer: -2158, -87, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55008 and 2572770?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -371 (base 8) to base 6\nAnswer: -1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-16)\/(-12)) + 3\/9. Let m be (i\/2 - 264\/(-16))*1. Suppose 0 = -w - m*w + 4518. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -231, -528, -957, -1524, -2235?\nAnswer: -3096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 22 - 5 = 3*m, -11*m - 22613*r = -22617*r + 89 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) - 2\/(-4). Let r be 0 + a - (-13 + 7). What is the third derivative of 0*g**3 - 181*g**2 + 0*g**3 + 3*g**r + 174*g**2 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768 by 8.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 286 - 36. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94599952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1610 = 183. Suppose -c = -7*j - 97. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxhxxxnxnllhnf. What is prob of picking 2 h and 1 f?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20868 and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12. Let a be -5 + j + -2 + 1. Is a at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*o - 34*o + 109*o + 47*o + 1 as f*o + c and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -799 and 0.1?\nAnswer: -79.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -8. Suppose 2*g + 3*s + 0*s = 10, -5*s = 5*g - 30. Suppose -r + g = -u. Calculate the greatest common factor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -8*x - w + 19, x - 2*w = -3. Solve 6*c - 7 - x = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14828029?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007950011 to 5 decimal places.\nAnswer: -0.00795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 294443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -27*v**2 - 7*v - 2. Let t be c(-3). Find the common denominator of 121\/24 and ((-44)\/t)\/(2\/8).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81686800 divided by -31418\nAnswer: -2600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*r - 79 + 23 = 164*r. Suppose 2*w = -2*w + 4*t + 8, -2*t = -2. Suppose 1 - w = -s. What is the remainder when r is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t + 847 = b, -4*b - 446 = -2*t. What are the prime factors of t?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2789 is divided by 44.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*p - 14*r + 130 = 290*p - 23, 9*p - 3 = r + r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -60. Let q = a - -27. Solve -v + 9 = -q*j + 2, 0 = 4*v + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 11 - 5)*(-3 + g + 3)*(4 - 4 - 14*g**2).\nAnswer: 322*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9137580 > 18275159\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (384\/120)\/(4\/(-10)). Calculate the lowest common multiple of (2 + o)*(-15)\/6 and 35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*i**3*u - b*i**3 + 1466*b*i**2 + b*i*u + 9*b*u + 4*b + 5*i**2*u + 2*i wrt u?\nAnswer: b*i**3 + b*i + 9*b + 5*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-10)*4*(-8)\/384\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0\/v)\/(v\/(v\/(v\/v**(-4\/7)))))\/((v*(v\/((v**(1\/13)\/v)\/v))\/v)\/v*v**12))**(-22) assuming v is positive.\nAnswer: v**(33022\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-79)\/((-1)\/(-2)*-2). Let z be 2\/(6\/15) + 68. Suppose z + n = 2*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -311, -3, 3 in increasing order.\nAnswer: -311, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*w + w + 15, -27 = 5*w + i. Let m be ((-12)\/(-2))\/(w\/(-4)). Let l be 1\/(26\/8 + -3). Solve -l*y + d = -13, -2*y - 1 = m*d - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-40)\/6)\/(1\/(-3)). Suppose -4*s + 2*g - 4 = 0, 6*g = -4*s + 2*g - 4. Let p = 3 - s. Calculate the greatest common factor of n and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 182, 176, 168, 158, 146?\n\"Answer: -j**2 - 3*j + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -16. Let d = 4 - 3. What is the highest common divisor of d and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 19 = 4*d. What is the units digit of (d - -10) + -1*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x**3 - 2*x**3 + 3*x**3)*(-3*x + x + x) + 2*x**3 + x**4 - 2*x**3 + 4*x**3 - 4*x**3 + 2*x**4)*(-209*x + 90*x + 76*x).\nAnswer: -215*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 3*j + 6, -62751*j = -62732*j + 152 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*n - 19*n - 17*n - 17*n - 12*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*j*v**4 + 25*j*v - 23*j + 19 wrt v.\nAnswer: -160*j*v**3 + 25*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) -1 (c) 0.152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 1. Let j(a) = -4*a + 3. Let k(i) = j(i) + 2*s(i). Differentiate k(o) with respect to o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k + 1095 - 335 = 0. What is the remainder when k is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -1.1, 1, -1, -1\/3, -55?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**2 - 3*y. Give b(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 504 - 487. Let b(l) = l**2 - 3*l + 4. Let d be b(-4). Let n = d + v. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**13*d)\/(d*(d**(-1)\/d)\/d))**(2\/11))**10 assuming d is positive.\nAnswer: d**(340\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -10*b**5 + 66*b**4 - 132*b**3 + 56*b**2 + 48*b = 0.\nAnswer: -2\/5, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 6:01 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.3938432 + -3.6061298. Let h = 38 + j. Round h to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00986662 rounded to five decimal places?\nAnswer: 0.00987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1699*w**2 + 6*w - 2*w**4 + 2*w**3 - 563*w**2 - 570*w**2 - 567*w**2 to the form j*w + g*w**2 + k + t*w**3 + l*w**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:47 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, u: 1, f: 1, o: 1, t: 2}. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*((sqrt(243) - (-1*sqrt(243) + -4)) + -1)*1)**2.\nAnswer: 2700*sqrt(3) + 24525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 10*r + 1 + 207*r**3 - 8 - 2*r + 4*r as o + n*r**2 + z*r + t*r**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 150328 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**2 + 5*o + 2. Let m(s) = 8*s**2 - 6*s - 3. Let t be (2\/6)\/((-7)\/(-105)). Calculate t*p(c) + 4*m(c).\nAnswer: -3*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -21991 and 3.\nAnswer: -21988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49531154, 99062306, 148593458, 198124610, 247655762?\nAnswer: 297186914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/2 - 4*m**4 + m**3 + 26*m**2 - 73*m\/2 + 14.\nAnswer: -(m - 1)**3*(m + 4)*(m + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -259986143 * 0.4\nAnswer: -103994457.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0\/(-1))*7. Let v(c) = c**2 + 2*c + 7. What are the prime factors of v(p)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**7\/35 + m**4\/8 - 2*m**2 + m. Let l(y) be the first derivative of v(y). What is the second derivative of l(i) wrt i?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from pplliupicp.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54, 99, 740, 2169, 4686, 8591, 14184?\n\"Answer: 50*j**3 - 56*j**2 - 29*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2 (c) 6\/1805\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/5 (b) 43 (c) -5493\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54023.9 plus -52?\nAnswer: 53971.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m + 12. Let i be 9\/m*(-3 - -9). Let o(a) = -a + 17. What is the units digit of o(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -159\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 10*n**2 + 2*n + 9. Let p be b(-7). Let k be 3 - p - (1 + 0). What is k rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + 256\/14. Suppose -134*f + 123*f + 297 = 0. What is the greatest common divisor of t and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + ((-3)\/9)\/(3\/108*3). Solve v + 12*r = 10*r + 10, t*v - 3*r + 15 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {z: 5, f: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 11*v**2 + v - 13. Let k be c(11). Let h(a) = -a**2 - a + 1. Let d(r) = 24*r**2 + 28*r - 28. Give k*d(o) - 56*h(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2800145 - -0.28. What is v rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 0*a + 20. Let u be 29\/4 - (-4)\/(-16). Solve -c = -5*f + 11, -2*c = -5*f + u + a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/13? (a) 2\/11 (b) 8 (c) 0.3 (d) -18 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -18. Let h = 7 + -7.01. Let r = h - -0.21. Which is the closest to -0.1? (a) 2 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from iaixixixi.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1254 + 2968. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 3*m + 3 + 10, 0 = -4*m - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 14*b**2 - 46*b + 89. Determine v(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -1, 303, -5 in ascending order.\nAnswer: -54, -5, -1, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6640 divide 4846860643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 167167132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8172 (b) 0.22 (c) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let s(q) = -q**3 - 25*q**2 + 111*q + 112. What is the remainder when 780 is divided by s(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6737331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5798.9676 - 6.6676. Round r to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 406 - 429.9. Let y = v - -23.6. Is y bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 0.1, 40, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18910 rounded to the nearest 100?\nAnswer: -18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(2 - 1 - 2) + 4*y - 2*y - y - 2*y + 15*y + 6*y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15 + 2\/2)*-2. Let b = u + -17. Let s = 9 + 11. Calculate the remainder when s is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.430871 litres?\nAnswer: 430.871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 243, 940, 2091, 3696, 5755?\n\"Answer: 227*o**2 + 16*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(1650\/40))\/(4\/(-22))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1020\/2027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9067 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q + 9600 = 51*q. Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2. Let w(l) = 2*l**2 - 9. Give w(h(a)).\nAnswer: 32*a**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-four fifths of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 3755*v**2 - 3740*v + 7500.\nAnswer: -5*(v - 1)*(v + 2)*(v + 750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Suppose -m + 30 = m + 4*h, q*m - 5 = 2*h. Let z(o) = 4*o + 3. List the prime factors of z(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 17*l - 5*l - 3*l + 211*l**2.\nAnswer: 211*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -74285120 divided by 2857120\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3)*h*h)\/h)\/(h\/(h**(-1\/7)\/h)))\/(h**(3\/8)*h**(-1\/4)) assuming h is positive.\nAnswer: h**(-239\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 3:23 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41578*q**3 - 20946*q**3 - 20628*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 59 - 331 = 0. Let l = h - 48. Let n be ((-6)\/21)\/(-1) - 780\/l. Calculate the highest common factor of 84 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9381 + 43528 = 1982*b + 8109 - 16642 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-4))\/(v\/v**2))**(-8\/13)\/(((v**0\/v)\/v)**(-27)*v*v**(-8)\/v*v*v**(2\/21)\/v) assuming v is positive.\nAnswer: v**(-12416\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/30 - t**5\/5 - 5*t**4\/12 - t**3\/3 + 12*t - 2. Factor y(l).\nAnswer: -l*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.74 or 0.269?\nAnswer: 0.269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4*u = -3*t + 12, -5*u = -4*t - 15. Suppose 4*i + t*i + 12 = 0. Let v = 6700 + -6700.1. Put i, 3, v in decreasing order.\nAnswer: 3, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1504003 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 take away 149.4?\nAnswer: -145.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1318*f**2 + 3851*f - 6. Let k(s) = -3955*s**2 + 11537*s - 17. Let u(i) = -17*c(i) + 6*k(i). What is the second derivative of u(l) wrt l?\nAnswer: -2648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 437 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**3\/3 + 3. Let v = 4 - 2. Let a(x) = -v*x - x + 6*x. Give a(p(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.766 - 18.7. Let b = -24 - -24.026. Let r = b - p. What is r rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 divided by 467.\nAnswer: -140\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104282 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + 43 + -40 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9887435 litres?\nAnswer: 988.7435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psvpvvvppv. Give prob of picking 3 p.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 16110?\nAnswer: -48330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*k + 9*k**3 - 33*k + 3*k**3 - k**3 + 0*k**3 + k**3 + k**3 - 4*k**3 + (2*k + 0*k + 0*k)*(-4*k**2 + 5*k**2 - 3*k**2) - 2*k**3 + 0*k**3 + 0*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34325256 divided by 177\nAnswer: 193928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 21*k + 29. Let p be w(-13). Let c = p - -82. Solve -51*h + c*h + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -38. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:41 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/((-522928)\/874)*4\/(-38)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -271 or 0.067?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5 - 51*c + 5*c**2 + 48*c - 4. Let t be i(1). Calculate the highest common factor of 2 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68)\/sqrt(64))**2.\nAnswer: -85\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-2080)*-12)\/((-20)\/32*-6)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1000339?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Suppose 204 + 320 = j*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1148 - 398 + 9*o - 180*o**2 + 38 - 9*o wrt o?\nAnswer: -360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/28 and 3\/154630.\nAnswer: 309260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 - -142. Put x, -3, 40 in decreasing order.\nAnswer: 40, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxxxuxvxuqxvxxxuvqxv. What is prob of picking 1 v, 1 q, and 2 x?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -2\/21 (c) -4 (d) -0.223 (e) 2 (f) -10 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 19.09. Let p = 0.09 + v. Let a = -0.2 + p. Sort 0, a, 1 in increasing order.\nAnswer: a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 573*j**2 - 59*j + 146. List the prime factors of i(3).\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:01 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 2*y - 2. Let p be n(-2). Let d be 1\/p + 681\/(-18). Let s be (d\/4)\/(2\/(-24)). Round s to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/2*7\/(-2). Suppose -5*n + 3*s + 0*s = z, 4*n = 4*s - 36. Which is bigger: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126708*i + i**2 - 253800*i - i**2 - 18*i**3 + 127092*i.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81402476 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tymytytntttktkkkt. What is prob of sequence ntmy?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - t = -2 - 3, 0 = 3*j + 2*t - 10. Let y = j + -1. Suppose 2*b = 2*r - 10, b + 5*r - 4 - 21 = 0. Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(19) - sqrt(38)\/sqrt(2)*-6)**2 + (sqrt(228)\/(2*sqrt(588)))**2.\nAnswer: 238355\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5 = -4*u, 4*m + 4*u = m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((1 - 3 - 0) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10392818 and 14?\nAnswer: 72749726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (37 + 79 + -129)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5 + 140*h**4 + 6413*h**3 + 103798*h**2 + 464352*h + 620928 = 0?\nAnswer: -56, -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 4:10 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) + (-3)\/(-5). Suppose 3*o - 27 = -3*g, g = 5*o - 4*g - 5. Let z be (1 - -7)*(-2)\/(-4). Sort o, z, n.\nAnswer: n, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 909, 1405, 1895, 2379, 2857?\nAnswer: 3329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 13. Suppose 10 = 10*q - s*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.404 + 9.40459722. Round g to 5 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2200 - 10?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3 - j - 7 + 0. Let c be v(-4). Suppose c = -2*w + 12 + 4. What is the least common multiple of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 25 - 27 = 48*p, 3*q - 7*q = 5*p + 4*p - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 546 in 3\/5, 3737, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**5 - 3714844*v**4 - 29718844*v**3 - 66867480*v**2 - 54*v + 100301220 = 0.\nAnswer: -3, 1, 1857430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, m: 1, v: 1, w: 4, p: 1, q: 3}. Give prob of sequence op.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 0. What is the units digit of 11 - 9 - (0 + d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59270000 rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 2 = -2*u + r, -2*r = -u + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 + 2*s**2 + 2*s + 4. Let p(m) be the third derivative of -m**6\/20 + m**5\/12 + m**4\/6 + 3*m**3\/2 + 1387*m**2. What is -5*a(k) + 2*p(k)?\nAnswer: 3*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52982 in -5, -2, 1, 2\/3, 0.008?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1 (b) 3882 (c) -2\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {s: 4, v: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1034*q - 108587. What is b(-105)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.1472 minus -5265.5725?\nAnswer: 5238.4253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936953863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028065534 to seven decimal places.\nAnswer: 0.0002807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3085 + 21344 = -2559*l - 16515 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*2)\/sqrt(8) - (3 + sqrt(68)) - 1*(sqrt(136)\/(sqrt(32)\/sqrt(4)) - sqrt(17)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4157 - -4156.999997783. Round f to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-2) + 9\/(-6). Suppose -x*q + 3*s = 0, 3*q + 4*s = -s + 29. Let w(l) = -l**3 + 2*l**2 + 4. Let r be w(q). Put 4, r, 5 in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10183 (base 12) to base 15.\nAnswer: -6339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(20) + -1)*-3 + (3 + (sqrt(5) + -1 - sqrt(5)))*1)**2.\nAnswer: -120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55918204.\nAnswer: 2, 199, 70249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 13 + 3, 5*o + 5*s = 0. Let m(i) = -i**3 + 6*i**2 + 6*i - 3. Is m(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**4 + 17*k + 185*k**2 + 7*k + 46*k**3 - 272*k**2 + 143*k**2 + 2*k**5 + 0*k.\nAnswer: 2*k*(k + 1)*(k + 2)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16450119 divided by 3.\nAnswer: 5483373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2299206034 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnizzkikuiuuuniz. What is prob of picking 2 z and 1 n?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 7*w**2 + w - 5. Let i be j(7). Suppose -v + i*v = 19. What is the remainder when 74 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37967 is divided by 7591.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983*h = 957*h - 182 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -w + 88, 2*g - 2*w = -w + 38. Let j(z) = -z + 21*z + 1 + g*z. Let x be j(9). Round x to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*f + 16, -3*f + f + 4 = 2*w. Suppose -3*b + f*p - 12 = 0, -3*b - 2*p - 3 = -9. Let a be -5 - (-3 - 2 - b). Which is greater: 2\/53 or a?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 284 - 62 - 102 = 0 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677763316 a multiple of 1004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48538?\nAnswer: 2, 7, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 10*r**2 - 14*r - 18. Let k be l(-11). What is the highest common divisor of k and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 4*l**2 + 5*l + 5. Let u(r) = r + 11. Let k be u(-6). Let a be z(k). Suppose 5*w - 655 = 6*g - 2*g, 3*w = -a*g + 356. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c**2 - 595*c**2 + 243*c**2 - 5 + 5.\nAnswer: -413*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - 0.09. Let g = u + -0.98. Which is the second biggest value? (a) 0.06 (b) 1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19517207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4636304992.\nAnswer: 2, 11, 13171321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 115490793894968.\nAnswer: 115490793894966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y - 3*h - 4, 4*y + 3*h = 2. Let b(r) = -64*r**3 + 2 + 66*r**3 + 2*r - 5*r**y - 3. What is b(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12165 + 72989\/6. Which is the third biggest value? (a) 15 (b) -3\/5 (c) m (d) 4\/7 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 88576*q + 29761534. What is d(-336)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (13 + (-43 - -5))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - d + 10*d + 9*d.\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 32. Which is the biggest value? (a) j (b) 3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 5. Let w(l) = 268*l - 252*l - 7 + 46. Let y(c) = -51*h(c) - 6*w(c). What is the first derivative of y(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -792.1084 - -0.1084. Let j = 796.23 + y. Round j to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4716 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 58623*c**3 - 3*c**2 + 4*c - 3. Let a be o(2). Suppose t + 68977 = a. Round t to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577563 divided by -3.\nAnswer: -192521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u - 2*u - 24 + 5*u in the form c + y*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + -3*sqrt(132)*-4)\/((-1*sqrt(120))\/sqrt(10)).\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -15932355867.\nAnswer: -15932355867.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(((-104)\/(-2288))\/(2\/(-4))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 0*c + 18 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + c = 13, -2*s + 5*s - 7 = -4*c. Suppose -s*d = 4*p - 5275, 4220 = 4*d + 6*p - 4*p. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.8718 years in centuries?\nAnswer: 0.838718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8947 or -8874?\nAnswer: -8874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37491 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*x - 44*x - 25 + 7*x - 18*x + 4*x with respect to x.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -11\/9996?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-i**4 - 4 + 4) + 3*i**4 - 6*i**4 + 0*i**4 + 2*i**4 + 3*i**2 - 4*i**2 - 4*i**4.\nAnswer: -6*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 + 2086*j - 216322. Let c(o) = -2*o**2 - 6*o + 2. Let x(g) = c(g) + s(g). Factor x(w).\nAnswer: -5*(w - 208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 12*j + 22. Suppose -3*q = 2*q + 4*h + 52, 3*q + 26 = -5*h. Let s be 4\/(-12)*3 - q. Calculate the remainder when 40 is divided by y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201*(5534\/27670 + (-3)\/((-90)\/(-16)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 1 - 1 + (-1 + 1 - q)*(-3 + 3 + 4*q**4).\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219767 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3648, 3653, 3658, 3663, 3668?\n\"Answer: 5*a + 3643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - 2*t - 32, -5*j - 4*t = 152. Let r be (-3)\/(-4) + (-8)\/j. Which is bigger: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1667643 (base 8) to base 16.\nAnswer: -76fa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(1 - 2) - 109893. Let h = 230709 + c. Let b = 240814 - h. Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 1, b: 1, y: 2, o: 2}. What is prob of picking 1 b and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 271377988 + -5?\nAnswer: 271377983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -199866 <= -199873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -539 - -566. What is the remainder when 130 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {j: 2, x: 1, n: 1, c: 2, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 43?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*t + 52*t - 4*z - 188, 0 = 5*t + z - 437. Calculate the smallest common multiple of 174 and t.\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -34. Let t = -3476 - -3546. Calculate the highest common factor of t and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(1*(-6)\/(24\/(-14)))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 3*t**2 + 4*t - 2. Let p be r(-4). Let m be (6\/4)\/(p\/(-4)). Let q(g) = -g. Give q(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (12 + 28 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 16) to base 3.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 466.6 + -467. Let b = -6.7 + 7. Let j = b + y. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6189374 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 3*w**2 - 5*w + 3. Suppose 0 = 4*f + u + 11, -f - 5*u + 29 = -2*f. Determine a(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1275\/54 + 1\/(-9))*2. Suppose -48*y = -q*y - 6. Calculate the least common multiple of y and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**6\/20 - 3*a**5\/20 - a**4\/8 + 165*a. Let o(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Let g be 2\/8*(1568\/1104 + 6\/(-69)). What is the third smallest value in m, g, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225608*w**3 + 39760*w**2 wrt w.\nAnswer: -1353648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32a4b (base 15) to base 11.\nAnswer: aaa15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 1, z: 1, y: 6, u: 3}. Give prob of picking 1 y and 1 v.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g. Let y(t) be the second derivative of -2*t**3\/3 - 9*t - 2. Calculate b(y(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 172*z - 3302. Give q(17).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = 0, -b + 7 = 2*q + 8. Let f = -60 + 180. What is the lowest common multiple of f and ((-6)\/(-30)*5)\/(q\/2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 262*v**2 - 2*v*y - 397*y wrt v.\nAnswer: 524*v - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1596 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93827005 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15230\/(-610) - (-138)\/(-4209)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1051, -1458, -2141, -3100, -4335?\nAnswer: -5846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**(-3\/4)*u))*u*u**(-1)*u)**(-2\/13)*((u**(1\/2))**(-44))**32 assuming u is positive.\nAnswer: u**(-18319\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48969619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3\/3 + 8*k - 10. What is the remainder when 70 is divided by y(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a62 (base 12) in base 11?\nAnswer: -1157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3. Let o be v(1). Suppose -20 = -o*h - 2. Let p(q) = q + 2. Calculate the least common multiple of p(5) and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 33, -1, 1.9 in descending order.\nAnswer: 33, 1.9, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 233.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*n**3 + 307*n**3 + 544*n**3 - 156*n**2 + 3 + 156*n**2.\nAnswer: 617*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssjjsssssssssss. Give prob of sequence sjj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, 0.194, 0 in descending order.\nAnswer: 1, 0.194, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -300460641?\nAnswer: 300460644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 167 = -43. What is the greatest common factor of 56 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 170 - 76 = 0. Calculate the common denominator of -3\/5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160.3291 months in decades?\nAnswer: 18.0027425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1)*x)\/(x*x*x\/(x**(-11)*x)*x)*x**(-1\/2)\/x**(-9))**(2\/39) assuming x is positive.\nAnswer: x**(-5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000538 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(80\/2)*11698\/29245?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-6)*(-36)\/(-21). Let o = -3 + p. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x + 8. Let h(s) = -s - 9. Let u(p) = 2*h(p) + 3*q(p). Let y(t) be the first derivative of u(t). Differentiate y(c) with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:37 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -227*u**4 - 232*u**4 + 2*u - 395*u**4 - 2*u**2 + (2 - 2*u - 2)*(0*u**3 + u**3 + 7*u**3).\nAnswer: -870*u**4 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1344490766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6402990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*b - 0*b + 7069, -2*x + 14178 = 4*b. Calculate the common denominator of (b\/(-40))\/(-11) + -2 and 3\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n - b + 5, 2*b = -5*n + 14. Suppose -133*w - 100 = -138*w. What is the highest common divisor of w and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/14668 and -15\/694?\nAnswer: 5089796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -645916746899\/28410379725 + -1\/54115009. Let b = -12\/175 - y. What is the common denominator of (-4)\/(-20) - (-1132)\/(-160) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -311, -670, -1079, -1538, -2047, -2606?\n\"Answer: -25*x**2 - 284*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 1.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 740077959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.943045128 and -7.\nAnswer: -8.943045128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52884847, 105769698, 158654549, 211539400?\n\"Answer: 52884851*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71.9 - -1.9. Let a = -69.9999963 - r. Round a to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2937 and 3509.\nAnswer: 936903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 4:43 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {y: 4, z: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 13*t - 9. What is i(-14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*g - 35*g - 12 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -554 in descending order.\nAnswer: 0, -2, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206810860 to the nearest integer?\nAnswer: 14381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1414 + -759. Let b = -654.58 + i. Is b greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 6 = -30*l. Let y be (-12)\/(-24) + l\/(-4). Let k be (-18)\/(-51)*2\/6. Which is the second smallest value? (a) y (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2601.4779927 to 2 dps.\nAnswer: 2601.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -2\/3 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 12*b + 10*b - 9 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -4, 0, 4, 6, -25.82?\nAnswer: -25.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2448) + 0 + sqrt(2448) + sqrt(2448)*4*5)**2 + sqrt(68)*-2 + -1 + (-1 + (sqrt(272) - (sqrt(272) + 0)))**2.\nAnswer: -4*sqrt(17) + 793152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 44, 95, 198, 371, 632?\n\"Answer: 3*a**3 - a**2 - a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from xxoxxxxxoxxxx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -127090 rounded to the nearest 1000?\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (4 - -1) + (-88 - -97)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 713333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = -1483 + 1318 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:11 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 14*y**2 + 21*y - 65. Let k be z(15). Let v be 5\/(0 - k\/(-10)). Solve 7 = 3*m - v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 11, 31, 71, 137, 235?\n\"Answer: g**3 + g**2 - 4*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 771068200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.3, 2, -0.3, 550, 54 in decreasing order.\nAnswer: 550, 54, 2, 0.3, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.18 - 2.98. Let r = q + 2.79994. Round r to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(2 - 9\/2). Suppose -y = q*k - 63, -45 = -2*k - 2*y + 7*y. Differentiate -k*m**4 - 10 - 923*m + 923*m with respect to m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 10) to base 14\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6324 - 6408)\/((-8)\/6).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 57.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*((0*l - l + 0*l)*(3 - 2 + 0) - 6*l + 3*l + 0*l + l - 2 + 2)*(0*l**4 + 0*l**4 - l**4) + 58 - 20*l**5 - 58.\nAnswer: -23*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8392, -10571, -14202, -19285, -25820?\n\"Answer: -726*r**2 - r - 7665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15691 - -15691.2. Let i = -2.2 + 2. Which is the fourth biggest value? (a) 0 (b) -1 (c) n (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.8 and -109.\nAnswer: 414.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(4\/9)*g))\/g*g**(-33) assuming g is positive.\nAnswer: g**(-310\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56489027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5612, 11220, 16830, 22442, 28056?\nAnswer: 33672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from {e: 2, z: 5, r: 3}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 5. Let g be r(0). Let l(v) be the first derivative of -v**4\/4 - 2*v**3 - 2*v**2 + 5*v - 238. Determine l(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001010 + 101?\nAnswer: -11000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-6)*(-316)\/(-5). Let u be (d\/(-79))\/(1 - 12\/10). Solve -u*t - 3 - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10 = -3*p. Suppose -p*c - 2*t = -t - 47, 46 = 4*c + 5*t. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/2 - 23*f**3\/2 + 147*f**2\/2 - 193*f\/2 - 182 = 0. Calculate f.\nAnswer: -1, 4, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010120022100101 (base 3) in base 15?\nAnswer: 165d30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, 3, -1\/9, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 14*l + 110 + 61 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6177.\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 17*l + 2. Suppose 4*k = 9*k + 85. Let q be i(k). Let d = -9 + 14. What is the nearest to q in d, -0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 8*k**2 + 15*k - 15. Let g be x(6). Suppose 10 - 7 = g*m. Do 1\/95 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1186.407925 * -4\nAnswer: 4745.6317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:36 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 140*x + 42669 = -144*x, 3*i + x = 42669. List the prime factors of i.\nAnswer: 3, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0*c**5 - 1\/180*c**6 + 3*c**2 + 0*c**3 + 0*c**7 + 1\/72*c**4 + 0*c + 0 + 1\/1008*c**8. Factor x(k).\nAnswer: k*(k - 1)**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6774401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 9*d**5 - 213*d**4 - 306*d**3 + 138*d**2 + 297*d + 75 = 0.\nAnswer: -1, -1\/3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316079832 a multiple of 2804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppwfcpwpbwfp. Give prob of picking 1 w and 1 c.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 12\/7*t**7 - 3 + 0*t**2 + 0*t**5 - 4*t**3 + 0*t**6 + 0*t**4 + 0*t. What is the third derivative of p(f) wrt f?\nAnswer: 1440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -44022*d**3 + 8*d**2 - 8*d + 6. Let f = -14 - -11. Let m be (f*(-7)\/(-3))\/1. Let k be b(m). Round k to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 118 = 4*s. Suppose -2 + 65 = 4*j + 3*i, 2*j + 3*i - 39 = 0. Calculate the remainder when s is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 20 = -4*g, -2*g - 12*m + 2 = -7*m for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -45. Which is the biggest value? (a) -2 (b) u (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01155457 to 5 decimal places.\nAnswer: 0.01155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 513113966 to the power of 1\/2, to the nearest integer?\nAnswer: 22652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/m*m**(1\/2)*m*(m*m*m*m*m\/(m\/(m**(-1\/12)*m))*m)\/m*m*m**(-4)*m)\/(((m**(-7)\/m*m*m)\/m**(-3\/4))\/(m**1*m*m*m*m\/(m**7*m))) assuming m is positive.\nAnswer: m**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2 - 260*g*k**2 + 737*k**2 - 3*k wrt g?\nAnswer: -4*g - 260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -354*p - 6000. What is w(-17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 1.8 (b) -3.75 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by 25.\nAnswer: 157\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-2.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 1\/((-6)\/(-15)). Let n = 6 - 8. Let u be 0\/(-1) - 1 - n. Which is the second biggest value? (a) 0.3 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5710 - 5710 + 165*l**2 in the form b + i*l + y*l**2 and give y.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + (65 - -99) + -76.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 23 = -93. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3305000 to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(12)*-2*-3)**2.\nAnswer: -120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34767 - 34427. Calculate the remainder when 587 is divided by r.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 240*n + 703*n**2 - 117*n - 123*n to w + t*n + b*n**2 and give b.\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p**(4\/7)\/p)\/p)**1)**(-12))**(12\/5))**(-12\/7) assuming p is positive.\nAnswer: p**(-5184\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 5. Let o be q(-7). Suppose 4*x - 6*v + 29 = -v, -4*x - o*v - 22 = 0. Let y be 4\/x - 4\/(-6). Put y, 3, 5 in descending order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/11 in 1\/4, 5, 131, -0.184, 0.2?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -747451, -1494901, -2242349, -2989795, -3737239, -4484681, -5232121?\n\"Answer: x**2 - 747453*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*(((u*u\/(u*u\/u**13*u))\/u)\/u)\/u*u))\/u)\/u)\/u)\/(u*u*u\/u**(-1\/7)) assuming u is positive.\nAnswer: u**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 854616049 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*d**3 - 97*d**3 + 9*d**3.\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -545 - -560. What is the second smallest value in -0.4, -3, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - a = 9*w + 4, 0 = 5*a + 20. Factor 2*l**5 - 2*l**3 + l**4 + l**4 - 2*l**2 + w*l**5.\nAnswer: 2*l**2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**3 + 7*i**3 - 19*i**3.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -382 + 267 + 326 - 422*i wrt i?\nAnswer: -422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(51*c**4 + 1431*c**3 - 1431*c**3) + c**4 + 3*c**4 - 2*c**4 + (-c**3 - 3*c**3 + 3*c**3)*(-1 + 1 - 2*c).\nAnswer: 106*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569273, 569276, 569279?\nAnswer: 569282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2116971, 4233939, 6350901, 8467857, 10584807, 12701751, 14818689?\n\"Answer: -3*v**2 + 2116977*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37800 divided by 56?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 3.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 13*q + 10. Let b(u) = 2*u + 1. Let f(p) = -14*b(p) + 2*t(p). Give f(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1534*m = 1541*m + 2156. Let w be m\/(-49) - 12\/42. Solve w*k + 2 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -5 (c) -1\/20 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 1 - 6*n**3 + 2*n + 11*n**3 - n - 6*n**3 as z*n + g*n**3 + j + s*n**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5 - 180*v**4 - 15068*v**3 - 58266*v**2 - 72053*v - 28674 = 0. What is v?\nAnswer: -59, -2, -1, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/15*(-2)\/(-4)*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 5. Suppose w*y = 4*y. Suppose y = -2*g - 0*f - 3*f + 15, 54 = 4*g - 2*f. Solve 0 = 3*r - 6*r, r = -3*u + g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {s: 3, e: 1, b: 2, f: 2, c: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396259 - 395037 = 47*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -336078\/25 - -13440. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20600861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*b = 2*b + 14, 2*b = -3*t + 74. Is 2 a factor of t + -5 - (-6)\/((-4)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 692, 1385, 2078?\n\"Answer: 693*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 9*v**2 + 5*v + 2. Let w be s(-5). Suppose -2*o - w*p = 3*o - 316, 0 = 4*p + 8. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1200809*g**3 - 911801?\nAnswer: 3602427*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 11*t = 12. Let g(m) = -3*m + 30. Let f be g(t). Let x be 1*5 - (-2 - -1). Solve 2*k - x*k = -n + 18, 4*k = -2*n - f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*x + 152 = 7*x, 5*l - 179 = -x. Solve 3*o - 8*u = -13*u - l, 3*u + 32 = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1. Let y(b) = -2*b - 13. Let i(p) = -4*g(p) - y(p). Let o be i(-7). Does 8 divide (-3)\/4 + o\/((-48)\/(-1004))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -14 + 5 - (5 - 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2231103302 (base 4) to base 6\nAnswer: -23114242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16706358?\nAnswer: 2, 3, 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374266028?\nAnswer: 2, 19, 23, 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -11, -2, -143 in decreasing order.\nAnswer: 3, -1, -2, -11, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -34512.44 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 2*w + w + 5*f, -5*f = 5*w - 340. Let v(x) = -x**3 + 7*x**2 + 102*x + 16. Let z be v(14). Let h = z - w. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6093, 6086, 6065, 6024, 5957, 5858?\n\"Answer: -j**3 - j**2 + 3*j + 6092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*f**2 + 111 - 53 - 57 - f**2 - f**2 + f**2 + (f**2 + 4*f - 4*f)*(3 - 3 - 1) as d*f**2 + h*f + u and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 913267973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + 170 + -109 - 62?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.361129mm?\nAnswer: 2361.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14506, -14502, -14498?\n\"Answer: 4*n - 14510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and -2.7?\nAnswer: -51.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*s - 56485 = -11*s. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*l - 3*l. Is 4 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 9633?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 51 = -r. Suppose -10*p - 49 = -11*p. Let y = p + r. Calculate the remainder when y is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 8. Let t be q(-12). Sort -1, t, 2.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b + -8?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkj when three letters picked without replacement from {k: 2, h: 14, j: 1, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*p + 165 = 0, -5*p = 4*f - p - 100. What is the greatest common factor of 29 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -254 - -53. Let b = 254.5 + u. Round b to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 2*h**3 - h**3)*(-10*h - h - 3*h) + 3*h**4 - 2*h**4 + 0*h**4.\nAnswer: 43*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 10*f + 4. Let w be d(-8). Let p = w - -26. Calculate the common denominator of p and 417\/(-9) - 2\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4359*g**2 + 60*g - 145. Is m(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g*g*g*g**(-3\/10))\/(g**(-15)*g\/g**(-25)) assuming g is positive.\nAnswer: g**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8 + 4. Let p be (15\/20)\/((-72)\/(-32)). What is the closest to w in 3, p, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 3.41?\nAnswer: 0.2387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215 - -217. What is the third smallest value in 1, i, 3\/23?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -114, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64218073 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-221)\/52 + (-11)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10591, 50885 in descending order.\nAnswer: 50885, -3, -10591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -1 (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + h = k - 22, -5*k + 10 = -5*h. Suppose -b - 4 = -k*b. Solve d = -o - 5, d = 2*o - 0 + b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -687, -1372, -2061, -2754, -3451?\nAnswer: -4152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (4 - (-4 - -4))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4)\/(2\/(-4)). Let t be (-9 - 93\/(-9))\/(1\/24). Suppose 0 = t*o - 31*o - m. Solve 20 = 5*a + 4*c, 4*a - 4*c + o = 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 - 3) - (-16 + 11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32624536\/26 + 4\/26. Let m be (-6)\/(-90)*z\/12. Let g = 6977 - m. What is the common denominator of 59\/20 and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 472961966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 7:11 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2.5. Let m be (42\/1120*-4)\/((-1629)\/(-8)). Let n = m + -1627\/2715. What is the nearest to -2\/3 in n, 0, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2*q**4 - q**2)*(-q - 4 + 4) - 19470*q**2 + 19476*q**2 - 5*q**5 - 3*q - 4 + 8*q.\nAnswer: -3*q**5 + 6*q**2 + 5*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from lxxbli.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2 + 16*j + 44. List the prime factors of o(7).\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123077.35446 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27c7b4 (base 16) to base 11.\nAnswer: 1520776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50165 (base 9) to base 5.\nAnswer: 2023240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 190 = -3*n - 3*y, 5*y - 80 = -n. Let k = n - 35. Let m = -1 + k. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (9 - -14) - 7 - 5 - 70\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = i - 4*g, i - 4 = -2*g - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/(-5))\/(6\/(-30)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + (4 - 1) - -1 - (11 + -55)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 30 = -8*h. Find the common denominator of (0 - (-66)\/(-4)) + h\/(-6) and 57\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {j: 4, h: 1, f: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 125453?\nAnswer: 125446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239 + -239.0000522. Round w to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/171 and 97\/30.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188540 rounded to the nearest one thousand?\nAnswer: 1189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 9094170?\nAnswer: 9094170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -7\/24*y**4 + 0*y + 0 - 107*y**2 + 0*y**3. Let w(f) = 5*f - 5*f + 2*f. Determine w(t(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1978928735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 - 41 - 2*d**3 + 8 in the form j + g*d + b*d**2 + p*d**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**7\/1680 - n**6\/72 - 17*n**5\/240 - n**4\/6 - 95*n**3\/6 - 54*n**2. Let p(b) be the first derivative of g(b). Factor p(r).\nAnswer: -(r + 1)**2*(r + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282550 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - q**2 + 3*q**2)*(-14830 - 15464 + 13625 - 16300).\nAnswer: 65938*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58276250 by -4054.\nAnswer: 14375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4 (c) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 49*r + 119. Suppose -u + 13*a - 8 = 14*a, 3*u - 5*a = 0. Let f(g) = 46*g + 118. Let n(v) = u*p(v) + 6*f(v). Find the first derivative of n(d) wrt d.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*m + 4*r + 210, -3*r = 5*m - 557. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -1086923.\nAnswer: -7\/1086923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -69*m**8\/28 + m**4\/12 + 165*m**2\/2 + 312*m. Find the third derivative of k(c) wrt c.\nAnswer: -16560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9)*z*z**(-7\/9)\/z)**16 assuming z is positive.\nAnswer: z**(-128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 54. Suppose o + 4*j - x = 0, 0*o - 5*j = -o + 43. Calculate the remainder when 110 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 86 - 91 + 0*k + (-5*k + 4*k + 2*k)*(2 + 3 - 3))*(2 - 2 - 2*k).\nAnswer: 6*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -278, -390, -580, -854, -1218, -1678?\n\"Answer: -q**3 - 33*q**2 - 6*q - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/67)))\/(q*q**(2\/29)) assuming q is positive.\nAnswer: q**(-2135\/1943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 59 = -2*l + 6*l, -y + 59 = -3*l. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 13*t**2 + 4*t - 16. Calculate the remainder when y(-7) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**3 - 4*c + 19*c**3 + c - 10*c**3 + 1 + 21*c**2 as k*c + a + s*c**2 + p*c**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -5*h - 3*m - 87, 3*h = 7*m + 201 - 260 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -413*k**3 + k**2 - 43*k - 98. What is the tens digit of c(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32065?\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 10:47 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3864 is divided by 501?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 + -118. Solve 4*g = -2*v + 6, -s*g - 6 = -3*v + v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11806060 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.5? (a) 12 (b) 4\/7 (c) -16 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 5 (c) 0.4 (d) -6 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from ppdrpbr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-505)\/(-75) - 7 - 2\/(-6). Let s(r) be the third derivative of -2*r**2 + 0*r + 8\/75*r**5 - t*r**4 + 0 + 0*r**3 - 7\/300*r**6. Factor s(c).\nAnswer: -2*c*(c - 2)*(7*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 16*j - 21. Let u be y(-18). Let o be (-30)\/u*((-7)\/(-2) + 0). Which is bigger: -5 or o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/5 + -4)*5. Let n be q\/(-6) + (-26)\/(-39). Suppose -5*b + 3*o + 278 = n, -2*o - 113 = -2*b + o. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169737 = -30*w + 353973. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 0.168209960361125.\nAnswer: 5.168209960361125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -155 in ascending order.\nAnswer: -155, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030599 rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 2*c**2 + 4*c + 4. Calculate t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004 (base 5) in base 3?\nAnswer: -11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.012, -1\/4, 2\/3, -18\/5, 2\/23?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -18*a**2 - 306*a - 334. Calculate t(-17).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43804119, -87608236, -131412353, -175216470?\n\"Answer: -43804117*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -713816290.\nAnswer: -713816252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:12 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303 is divided by 218.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwlwzylwywwlwzlwlgyl. Give prob of picking 1 z, 2 w, and 1 g.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (3\/(-9)*-3 - 1). Which is the nearest to -1? (a) -5 (b) -24 (c) h (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5 - 2240*l**4 - 419296*l**3 - 31842944*l**2 - 748804672*l + 8252371456 = 0. Calculate l.\nAnswer: -274, -98, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*n = -5*v - 2, -3*n + 18 = -3*v. Let f be (v\/(-7))\/((-24)\/6972). Which is greater: -167 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8304940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + f**2 + f. Let z(s) = 6*s**2 + 5*s. What is 4*i(p) - z(p)?\nAnswer: -4*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 9:46 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -18.78.\nAnswer: -413.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11881 or -47519\/4?\nAnswer: -11881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*x - 119*x + 245 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*f + i + 21, 5*i + 9 = 3*f. Suppose 0 = -f*k + 3*k, 3*s + k = 261. Let j = 809 + -780. What is the greatest common divisor of s and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - (sqrt(95)*4 - sqrt(95)) - sqrt(95))*-2 + -3*sqrt(95)*2)\/((-6*sqrt(720))\/(sqrt(36)\/sqrt(4)*-3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 87*j - 5. Let s(w) = -1610*w + 92. Determine -92*l(i) - 5*s(i).\nAnswer: 46*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/6*2 + (-4204 - -1)\/(-3) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -2686980739.\nAnswer: -2686980739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 348 (b) 4 (c) 1\/77 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 2*s**2 - 1. Let m(w) = -115*w**2 + 245*w**2 + 9 - 124*w**2 + 6*w**3. Let k(t) = 5*a(t) + m(t). What is k(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14081.81 litres to millilitres.\nAnswer: 14081810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 + (-52)\/(-780)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3923475504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + z + 22 = 0, 0*b + 2*z - 82 = -5*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and 10145.\nAnswer: 456525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60.8 + -64.8. What is the closest to -2 in 7, 2, -3\/7, k?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1172 + 27123. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 238*o**2 - 34*o + 34. Let r(m) = -34*m**2 + 5*m - 5. Let w(j) = -5*d(j) - 34*r(j). Let q(t) = 4170*t**2 + 4165*t**2 - 8336*t**2. What is w(q(h))?\nAnswer: -34*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/100 and 113\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25965733?\nAnswer: 25965733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiud when four letters picked without replacement from dvuii.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461792.\nAnswer: 2, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 17*l**2 + 11*l - 19. Give u(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 1053*u**2 + 493*u**2 - 1546*u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1203 (base 4) to base 2\nAnswer: 1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*y = -o - 20, 3*o - 25 = y. Solve q + o = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**4\/20 - 5*v**3\/2 + v + 63. Factor n(d).\nAnswer: -3*d*(d + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -52.5. Let l = -25 - d. Let h = l + -10. Which is the closest to 0.2? (a) -1\/2 (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356 - 245. What is the least common multiple of 27 and g?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -796 + 800. Solve -3*j = 2*c + 3*c + 23, k*c + j + 17 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.32 and 1.\nAnswer: 9.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 6*s**2 - 17\/8*s**4 + 0*s - 1\/2*s**5 - 1\/40*s**6 - 4*s**3 + 0. Solve l(d) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2426617465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*k - 16, 0 = 6*c - c + 4*k - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4998915.\nAnswer: 3, 5, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5 + 8*i**4 - 58*i**3 + 56*i**2 + 56*i - 64 = 0. What is i?\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 267959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 240029*p**2 - 289899 wrt p?\nAnswer: 480058*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/202, 0.19, -1261?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.153565 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.151 and -9.5.\nAnswer: -1.4345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -121\/43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 4:38 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 - -225.4. Round x to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14240508 and 24920889?\nAnswer: 99683556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11305*a**2 - 1173*a + 306. Let u(w) = -595*w**2 - 62*w + 16. Let x(i) = 8*j(i) - 153*u(i). Let q(r) = -29*r**2 - 5*r. What is -102*q(z) - 5*x(z)?\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13*y**2 - 79*y + 562. Is t(26) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6180 by 1236.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -102, -81, -40, 27, 126, 263?\n\"Answer: f**3 + 4*f**2 + 2*f - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = 3*r - 21, -28*r + 8 = 3*w - 188 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*b**2*o*y**2 + 491*a*b**2*y**2 + a*b*y**2 + 880*a*b + 2*a*o*y + 3*b**2*o + 2*b*o*y**2 + 2 wrt b.\nAnswer: -2*a*o*y**2 + 982*a*y**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(153))*2 - (1 + 4 + sqrt(17) + -2 + -4))**2.\nAnswer: 30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -8*t - 74, 3*t + 25 = -3173*n + 3174*n for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 6988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*k - 0*k - 5*t, k - 3*t - 12 = 0. Suppose k*v + 11*v = 21528. What is the highest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48088544 divided by -6011068.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18854 - -18899. Calculate the lowest common multiple of t and 565\/3 - (-2)\/3.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 841.6349 nanoseconds?\nAnswer: 0.0000008416349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58846268 + -58846261.1999938. Let o = g + -6.8. What is o rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38643*k**2 + 6*k**3 - 4*k**4 + 4*k + k**4 + 38645*k**2 in the form i*k**2 + n + z*k + m*k**3 + h*k**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-5)*m)*m*m\/m**(2\/5)*(m*m**(-1\/4)*m)**34)**(-8) assuming m is positive.\nAnswer: m**(-2644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-32)*8\/(-60))\/(14\/(-6))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-375)\/6 - (-6)\/(-4). Let i be (-1)\/(2*2\/b). Let t = i - 3. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*g + 71*g + 4 = 0. Let w(n) = -33*n**2 + n**3 + 17 + 33*n**g - n. What is w(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179*k - 91*k - 85*k + 12 to u + s*k and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5322)\/(-248360)*(-8)\/3\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)*d\/(d**2\/d) assuming d is positive.\nAnswer: sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3\/8 - 3767217*v**2\/8 - 504847479*v\/8 - 16912841691\/8 = 0.\nAnswer: -67, 1255873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-10)\/1800). What is the highest common factor of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9514 + 9523. Solve -6*i - p = 27 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1 - 15*k - k**2 + 2 - 2 + 16*k. Determine s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -251, -397, -543, -689, -835?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-4)\/(-16)*(-3 - -1). Factor o**2 + 5\/4*o + y + 1\/4*o**3.\nAnswer: (o + 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782 and 5359.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/185)\/(-1*8\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2121, -8494, -19117, -33990?\nAnswer: -53113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.1 and -90.\nAnswer: -83.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130*d**6 + d**2 - 4*d**2 + 32*d**2 - 303*d**3 + 303*d**3 wrt d?\nAnswer: -15600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**4\/3 + s**3\/6 - 2*s**2 + 30*s. Let x be -3*(-1)\/((-3)\/2). Determine n(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-3) + (-26)\/(-6). Suppose 0*v + v = -2*b + 21, -5*v = n*b - 77. Solve v*p = 15*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 8, -221, -11.\nAnswer: -221, -11, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/7 (b) 4 (c) -13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -aa4d02 (base 14) to base 6\nAnswer: -323444222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y + 20. Suppose 165 = y*w + 5*v, -v = 3*w + v - 99. Suppose 5*z - 132 - w = 0. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -73 (c) 5 (d) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -i - 45. Suppose -i*r + 35 = -0*r. Suppose 0 = -r*t + 8*t - 46. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-1*3) + -1. What is the least common multiple of (-2)\/(16\/9 - x) and 3 - (1 + -2 + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.04 + -4. Let k = 12 - 11.95. Let y = 0.15 - k. What is the closest to y in -5, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 4*h + 0*h)*(1 - 3 - 2)*(-2 - 4 + 3)*(h**2 - 3*h + 3*h) to the form j*h + u + w*h**2 + x*h**3 and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/(-24)*-10 - 9\/27. Suppose -20*i + 86 = -u*i. What is the remainder when 171 is divided by i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Suppose -o*x - 4 = f - 5*f, 4*x - 16 = 0. Factor n**3 - n**4 + 3*n**3 - 3*n**3 - n**f + n**2.\nAnswer: -n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 + -59. Let s be 6 - (-6)\/(0 - -3). Calculate the greatest common divisor of s and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1923.1 + -1917. Which is smaller: -8 or w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1501427*z**3 + 39899119*z wrt z?\nAnswer: 9008562*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191 - 130. Suppose y = 2*d + 7. Let u(v) = v - 1. What is the remainder when d is divided by u(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.07, 0, 0.5 in decreasing order.\nAnswer: 0.5, 0, -0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 897, -22270, -45437, -68604, -91771?\n\"Answer: -23167*q + 24064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufuufffffffuff. Give prob of picking 2 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.4 (c) 7 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577182.\nAnswer: 2, 197, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -16758.\nAnswer: -16788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 minus -2448382?\nAnswer: 2448381.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + c + 0*c = 8, -3*d + 4*c = 39 - 62 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 18*j**2 - 26*j + 157. Let s be x(17). Solve -4*z - 10 = -5*o, 6*o = 2*o - s*z + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0506827 and 19.3?\nAnswer: 0.97817611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.576 rounded to one dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-14) - (-39)\/21. Let h(d) = d**2 + 4*d - 5. Let r be h(-5). Let c be 5\/(-4) - 189\/(-36). Solve r - c = -s*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-8)\/(-8))*(-1)\/(50\/2)\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 1909*c - 682836 = 0 for c.\nAnswer: -2217, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 6.1 (b) 2\/9 (c) 6 (d) 0 (e) -114\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880136183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -1\/4, -3 in increasing order.\nAnswer: -3, -1, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 - 54 = -28*h + 191 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 + -0.6. Let y = x + -1.7. What is the nearest to 0.2 in y, 0.5, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45152047\/3360 + 94065\/7. Find the common denominator of -95\/96 and x.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1067 + 17141\/16. Calculate the common denominator of a and 1\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3633 or -0.0357?\nAnswer: -0.0357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 8. Suppose 0*w + 9 = 3*q + w, -q = -3*w - 13. Let s be r(q). Suppose s - 19 = -5*m. Which is greater: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 14 + 47)*(3 + 0 - 2)*(-2*t + 17*t + 2*t).\nAnswer: 969*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 3724.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2555, 4655, 6317, 7541?\n\"Answer: -219*h**2 + 2757*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-9)*t*t**(-4))\/(t**(1\/12)\/t**(1\/4)) assuming t is positive.\nAnswer: t**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, 3, 9, -4 in increasing order.\nAnswer: -19, -4, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 4149\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -166, 2, 2\/19, 1, -3.\nAnswer: -166, -5, -3, 0, 2\/19, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (2 - -12)) + (-2)\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*1\/(-2) + 2. Let q(i) = h - 3 + 10 - 26*i. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 657924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**5\/20 + w**4\/24 - w**3\/3 + 17*w**2. Suppose -b - 3*r + 4 + 0 = 0, 12 = -2*b + 4*r. List the prime factors of u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40409*z**5 - 30499*z.\nAnswer: 808180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1707, -3657, -6915, -11475, -17331, -24477, -32907?\n\"Answer: g**3 - 660*g**2 + 23*g - 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4 + 1. Let h = -6 - -8. Is 3\/h*(-20)\/d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:19 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-56)\/168)\/((-16)\/(-6)). Sort m, 2\/5, -3, -19.4 in ascending order.\nAnswer: -19.4, -3, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 0*z)*(-124*z - 5*z + 4*z)*(2*z**2 + 2*z**2 - 6*z**2).\nAnswer: -750*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157411 (base 8) to base 5.\nAnswer: -3311342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 44*x**2 + 32*x - 1. Calculate t(-3).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d. Let h(f) = -12*f**2. Calculate h(v(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611382025 is divided by 7077.\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 9}. What is prob of picking 2 x and 1 v?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333988 - 333988 - 6*w**2 - 754*w.\nAnswer: -6*w**2 - 754*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.3 + 0.7. Let c = v + -10. Let z = 5.14 - 0.14. What is the nearest to -2\/5 in z, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 2*m**3 - 241*m + 241*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 4*u + 2, -q - 5 = -u - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3000011 + 1.3. What is l rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 42707.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624 divided by 14?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/14857 and 25\/4538606.\nAnswer: 812410474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 25*a - 12. Determine n(16).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) - 2\/(-6)*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*i**4 - 2*i**3 - 20192*i + 17883130?\nAnswer: 24*i**3 - 6*i**2 - 20192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/14 - ((-72)\/42 - -2)) + -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h**2 - h + 3. Let o be p(0). Let b(d) = -d**2 + 11*d + 13. Let c be b(12). Suppose -c - 17 = -o*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (65 - 64) + -4 + 1 + -6 + 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-6)\/(-1) - 6\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 4. Determine o(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182722859?\nAnswer: 11, 769, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -881*h + 7609 = -257*h + 463*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 56618664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19683 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188 by 184.\nAnswer: -47\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3690, -29534, -99682, -236286, -461498, -797470, -1266354?\n\"Answer: -3692*j**3 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.17 (b) -6 (c) -14 (d) -3 (e) 1\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 20 = 2*w, 2*u - 2*w - 8 = 0. Let n be -3 + u + -9 + 11. What is the greatest common factor of 4 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 4*f - 7. Let g(u) = u + 14. Let d(l) = -l**3 - 13*l**2 + 14*l + 2. Let o be d(-14). Let i be 9\/((4\/(-2))\/o). Let v be g(i). Calculate m(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 281, 288, 295, 302?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23906 divided by -21164\nAnswer: 11953\/10582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(20\/8)*-1. Let v be -1 - (g - 1)*-1. Let 0*b + 1\/5*b**4 + v*b**2 + 0 - 1\/5*b**3 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2) + (-220)\/(-4). Suppose -26*v + 4 = -24*v. Suppose d = 2*i - v*t, -4*i + 111 = 5*t - 24. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -364*l**2 - 1084*l + 24. Calculate u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 - 83*q - 138. Calculate y(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 + 4 - 4)*(-7 + 4 + 6)*(2 + c + 4 - 1) in the form u*c + t*c**3 + l*c**2 + z and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*g, -28*g - 3*h = -27*g - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (4 - 0 - -10 - (27 + -21))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 2234788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-5))\/(2 + -3). Which is the second smallest value? (a) k (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -2\/3*f**3 + 0*f**5 + 6*f**2 - 1\/30*f**6 + 0 + 0*f + 0*f**4. Differentiate j(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 times 50575?\nAnswer: 63876225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 8*z**2 - 8*z + 3. What is the least common multiple of u(-4) and 55?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*k, 643 + 659 = 3*p - k + 1311 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.58 + -24.42. Let b = -13 - d. Let v = 12.0045 - b. What is v rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 8. Let x(z) be the second derivative of -z**3\/6 + 31*z - 34. What is g(s) + 6*x(s)?\nAnswer: -3*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 4*x**2 + 3*x**3 + 3*x**2 as b*x**2 + v*x**3 + d*x + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -52*j - 1386. Let o(t) = 25*t + 1. What is 2*o(y) + r(y)?\nAnswer: -2*y - 1384","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.031 - 32.031. Let q = d + 37.9. Round q to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -320.1 + 320. Let d = -2.2 - -0.2. What is the nearest to y in -0.4, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/10, 1\/2, 8, -0.16?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -169? (a) 0.05 (b) -0.5 (c) 5 (d) 112\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n**2 - 40*n**2 + 64425*n**3.\nAnswer: 64425*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 6, 84 in decreasing order.\nAnswer: 84, 6, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 bigger than 296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyggmaymyvyvmjvy. What is prob of picking 1 v and 1 j?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24.71? (a) 1\/6 (b) 1\/3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from ysyclcyys.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*9\/4212*36)\/(1\/(2\/(-20))).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*v + 94 = 0, -4*j = -v + 13 - 90. Let h be 4\/10 + 192\/j. Suppose -h = -4*f - f. Solve 0*x - 4*x = -f*z, 10 = 5*z - 5*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2 + 0*p - 2*p - 111*p**2 + 110*p**2 + 0*p. Let z(d) = d**3 + 7*d**2 + 7*d + 3. Suppose -n + 4*n + 18 = 0. Let l be z(n). Give v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:50 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p = 0. Solve -u = 3*v - 20, -v = -p*v - 5*u + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5040\/75)\/(1 + 190\/75). Is h bigger than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 3*k**2 - 3*k**2 + (2*k + 2*k - 3*k)*(0*k + k + 0*k) - 3 + 3 - k**2 + 2*k - 2*k - k**2 + k**2 - 133*k - 151*k - 485*k + 6*k**2.\nAnswer: 4*k**2 - 769*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55979203 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 - 14. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 105, 155, 207, 261, 317?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615862921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84 or -0.8988?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -4 - -5) + (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a - a + 0*a + (-a - 2*a + a)*(2 - 5 - 43) as p + l*a and give l.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -6 (b) 0.4 (c) 13 (d) -7 (e) -4\/379\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:03 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2. Let w(c) = 2*c - 1. Let j(l) be the third derivative of 7*l**4\/24 - 2*l**3\/3 + 65*l**2. Let k(t) = j(t) - 4*w(t). Give k(z(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -2 (c) 1533 (d) -0.05 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-7*(-20)\/(-70)). Which is the closest to 2\/5? (a) q (b) -71 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/6 - 17*l**3\/6 - 6*l**2. Let t be k(6). Suppose t*j - 64 + 22 = 0. Calculate the smallest common multiple of j and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -705686755 and -13.\nAnswer: -705686768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336 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: Suppose 3*b + 5 - 65 = 3*p, -p + 2 = 0. Calculate the remainder when 153 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 552*r - 85*r + 216*r - 329*r - 18 in the form p + u*r and give u.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -711.94 + 713. Let z = -2.06 + i. Let o = 12.3 - 13. Is o less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 972702376 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-3) - 2\/6. Let j(q) = 3*q**2 - 15*q + 2. Let m(c) = -2 + 2 + 21*c - 5*c - 2*c**2 - 2. Let k(t) = i*j(t) + 5*m(t). Find b, given that k(b) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 12*l**2 + 10*l + 2. Calculate y(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -8)*27\/6. Let q = t - 18. Solve -7 - q = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24404 times -0.32\nAnswer: 0.0780928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1756 + 0.0022. What is o rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52\/7*i**3 - 128\/7*i - 128\/7 + 88\/7*i**2 + 4\/7*i**5 - 32\/7*i**4 = 0 for i.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 + -4?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10999144 and -0.3091.\nAnswer: -10999144.3091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 1952 - 2036 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/7 + 2\/7. Suppose -3*f - 6 = 0, -5*f - 19 = -2*o - 3. Let n = -5 - -5.1. Put n, 4, o, j in decreasing order.\nAnswer: 4, o, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540792 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((2 + -4 - (29 + (-5 - 16))) + -15).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 34*n - 2 - 32*n - 1 + 3. Let o(s) be the third derivative of -s**5\/30 + 4*s**3 + 54*s**2. What is o(t(h))?\nAnswer: -8*h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b. Let i be 1\/(10\/(-9) - -1). Let p(t) = -t - 4. Let m(l) = -2*l - 9. Let z(f) = i*p(f) + 4*m(f). Calculate z(a(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5\/8, -112681, -4?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 9b79?\nAnswer: 9b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 7*a**4\/12 + a**3\/3 + a**2\/2 - 19*a. Suppose -2*o + k = 4 - 0, -4*k + 11 = -3*o. Calculate j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -551860 to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**25*p**(-6\/11)*p*p*p**5\/p*p*p assuming p is positive.\nAnswer: p**(907\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*d - 320*d - 178*d - 741*d + 212*d)*(-2 - 1 - 1).\nAnswer: 4404*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, 3, 2, 296, -10 in decreasing order.\nAnswer: 296, 9, 3, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154260858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -1 - (-21)\/(-12). Let w be 7*(15\/(-35))\/3. Which is the third biggest value? (a) w (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-21) - 813\/21. Let d = i - -42. Suppose -4*a + 800 = -0*z + 2*z, 2*a - d*z - 384 = 0. What is the highest common divisor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -42. What is the units digit of (g\/(-10))\/(3\/(-460))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/81)\/((-4)\/((-13068)\/11))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2054 (c) -0.4 (d) 2\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -75, -112, -173, -264, -391, -560, -777?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**25)\/i**(4\/13))**37 assuming i is positive.\nAnswer: i**(-11692\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 5:59 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.35 - 1.35. Let o = n - -5.7078. Round o to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -638*m + 12*m**2 + 1235*m + 30*m**3 + 9*m**4 - 621*m = 0. What is m?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 26*i**2 - 8*i + 143. Calculate a(26).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 10*a - 6. Let g(c) = -c**3 - 5*c**2 - 2*c - 1. Let z be g(-4). Let h be f(z). Solve 4*j = -13 - h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(-3*f**3 + 5*f**3 - f**3)*(453568 - 453568 + 152*f**2).\nAnswer: -152*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/56 - 1\/4. Let j be (10\/28)\/((-4820)\/(-5061)). Sort j, o, 1\/6 in descending order.\nAnswer: j, o, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 2*k**2 + 2. Let o be i(2). Suppose -4*p + 24 = -o*p. Let q be 4 + (-4 - 0) + (-72)\/(-2). Calculate the highest common divisor of q and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 9 = -9*b. Solve b*w = -w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 + 5*y**2 - 6*y**2 + (2*y - 5*y + 2*y)*(-y + 4*y - 2*y))*(-30*y - 2*y - 41*y).\nAnswer: -146*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -16, -33, -66, -121, -204, -321, -478?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*n + 6*n**2 + 61*n + (-2 + 2 - 4*n)*(-19 + 28 - 9 + 88*n).\nAnswer: -346*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3 + 11*a**2 + 3 - 10*a**2. Let h(q) be the third derivative of q**4\/12 - 2*q**2. Calculate h(t(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -1065830?\nAnswer: 1065828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6734 is divided by 46.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -24\/484139 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, g: 4}. What is prob of sequence igi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from jkzqygq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 at most 0.36758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(171) - sqrt(171))*-1 - sqrt(171)) + -3)**2 + ((sqrt(95) - (sqrt(95) - 2*sqrt(95)*3 - sqrt(95))) + sqrt(95))\/((sqrt(75)\/sqrt(3))\/sqrt(5)).\nAnswer: 32*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*a + 434*a + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858777369?\nAnswer: 3, 853, 335591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/60 - 19*h**4\/24 - 29*h**3\/3 - 13*h**2 - 41*h + 1. Calculate y(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1881722 less than -1881722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(21\/(-2)) - 156\/(-630)*-15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, p: 2, u: 10}. What is prob of picking 2 a and 1 p?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1)*-1 + 0. Suppose 314 - 98 = 12*a. Suppose -m + r*m = -a. Calculate the remainder when m is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -31. Let f(x) = x**3 - 28*x**2 + 57*x. Let s be f(p). Calculate the highest common factor of s and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**3 + 2*f + 1. Let x be b(-1). Let n be 63\/18 + 2\/x. Solve 2*s + n*o - 18 = 0, 3*o - 10 = o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 4*r - 12. Suppose -2*z = 5*w + z - 67, 5*w + r*z = 66. Suppose x = -x + w. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*m + 20, 5*m - l + 859 - 880 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 34 - 2 = 3*t. Solve u = -t*g - 20, 2*u = 2*g - 7*g - 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 1:36 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + o**2 + 4*o. Let f be s(-2). Suppose -f*h = 2*v - 16, -4 = v - h - h. Calculate the greatest common factor of v and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3115 and 4?\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 + 23*s**2 - 3*s - 7. Let v(h) = -2*h**3 - 15*h**2 + 2*h + 5. What is 5*r(w) + 7*v(w)?\nAnswer: w**3 + 10*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2, 0.1, -7, -96, -0.02 in descending order.\nAnswer: 0.1, -0.02, -1\/4, -2, -7, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2 - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:14 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/14 + 2914\/(-329)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/350*1904\/816.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4 and 59\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 1429*c + 8537. Determine r(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 385 + -233. Let y = g - 71. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.091496968 + 143969.\nAnswer: 143969.091496968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 49 + 10 = 2*d, -2*d + 17 = t. What is the greatest common divisor of t and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 241\/(-482)*17\/(17\/62)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15069*b**2 - 15191*b wrt b.\nAnswer: -30138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-546)\/63)\/(8\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**6\/24 - c**4\/6 + c**2 - c. Let a(w) be the first derivative of g(w). Find the second derivative of a(v) wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 + 5*m**2 + 2*m + 3. Let b(c) be the second derivative of -2*c**5\/5 - 11*c**4\/12 - 5*c**3\/6 - 7*c**2\/2 - c. Give -3*b(s) - 7*j(s).\nAnswer: -4*s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (0 + -9 + -42)) + -13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -69, -5, -2 in descending order.\nAnswer: 4, -2, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*10\/(-35) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -827.10954+-3\nAnswer: -830.10954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 4\/(-6))\/((-48)\/216). Solve d*o = -o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**3 - 27*r**3 - 21*r**3 + (-4 - 6 + 8)*(0*r**3 + 0*r**3 - r**3) in the form t*r**2 + d*r**3 + f*r + l and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/2*20\/35. What is the remainder when 5454\/90 + d\/5 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2954232.6 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-68)*(-4)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59385696 a multiple of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222012001 (base 3) to base 12.\nAnswer: b06a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(78) - (sqrt(78) - (-1*sqrt(78) - sqrt(78))*-5))\/sqrt(2))\/((-1*sqrt(66)\/sqrt(2))\/sqrt(11)))**2.\nAnswer: -40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 37 + 29 = 0. Which is greater: t or 19\/7?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298510 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 657 - 654. Solve -3*q = -3*y - 0*y + z, -3*q = y + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -187061876.86?\nAnswer: -187061877.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*u**4 - 1520*u**2 - 1301*u + 69 wrt u.\nAnswer: 288*u**2 - 3040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, 2, -5, 93\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -31. Suppose 5*v + b - x = 0, 2*b - 15 = -4*v - 3*b. Solve v = 3*i - 7*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1481*m + 3 = -1484*m. Sort 6, 5, -3, m in decreasing order.\nAnswer: 6, 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-14 + 6) - (-11 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -268, -22, 858 in ascending order.\nAnswer: -268, -22, 0, 2, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - 0.4. What is the closest to -1\/2 in 1\/5, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/6 - (-2 + 2). Let t = 7.28 - 12.28. What is the nearest to t in -1\/5, 2, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c + 2*c + (3 + 0 - 1)*(2*c + 3*c - 3*c) - c + 3*c - 3*c + 2*c + 2*c - 3*c + c - 5*c + 2*c)*(-6 + c + 6)*(-2 + 1 + 0).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 3)*(-1 + 0 + 0)*(0 + 0 - 1 + (1 + 0 + 1)*(-2 + 2 + 1) + 0 + 4 - 3 + 2 - 7 + 1)*(-2*n - 3*n + 0*n) to the form x*n + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -t - 20, 0 = t - 4*t - 5*l - 39. Let b be ((-114)\/t)\/(2\/(-8)). Let w = -39 - b. Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 - 89. What is the remainder when 152 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8293*i**2*q - 2591*i**2*y - 1825*i*q*y - 37*i*q wrt y.\nAnswer: -2591*i**2 - 1825*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + 288\/(-27). Let c be (36\/(-45))\/(4\/r). Factor -3*m**2 - 5*m - c*m + m + 9.\nAnswer: -3*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let d = 2 + g. Let x(o) = d*o - 22 - o + 21. What is x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360787 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-6)\/(-66))*(65 - 32).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 991*y**2 - 4424*y + 12. Give u(5).\nAnswer: 2667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-5 + 4 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/8616928 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 35*i**2 - 34*i - 42. Calculate f(34).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 900\/4200*42\/72?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -2*n**3\/3 - 1099*n**2 - 203*n + 1568. What is the first derivative of y(l) wrt l?\nAnswer: -4*l - 2198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*y**5 - 210*y**2?\nAnswer: 10200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3790 + -1 + (-8046)\/894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22)\/sqrt(2) + sqrt(11))*4 - (sqrt(176)\/sqrt(4))\/sqrt(4))*4)**2.\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*s - 23 = 6*v, -s = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1572*a + 1600. What is i(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(132)*1)\/sqrt(12) + 3.\nAnswer: -6*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*l = -24, -4*r + 0*r = -l + 39. Let x(y) be the second derivative of y**4\/12 + 2*y**3\/3 + 6*y. What is the remainder when x(r) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 7*z**2 - 5*z + 24. Let u be v(-8). Suppose -5*a + 1 = -2*y + 40, -2*y + 30 = -2*a. Solve u = -d - 3*d - y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3060009, 3059992, 3059963, 3059922?\nAnswer: 3059869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/((v**(-5)*v)\/v))\/(v**1*v)**(1\/33) assuming v is positive.\nAnswer: v**(196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 10 - 1)*(16*w**3 + 14*w**3 - 14*w**3).\nAnswer: -352*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p**2 - 2*p + 1. Let h be i(2). Let j = h + 34. Let u = j + -9. Calculate the lowest common multiple of 4 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4441 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - (sqrt(65) + -3*(sqrt(65)*-1 + sqrt(65)))))\/((sqrt(180)\/sqrt(4))\/sqrt(9)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 times -0.0093654?\nAnswer: 0.002903274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z - 13523 = 0. Suppose -n + 2605 = -5*u - 87, -5*n = -4*u - z. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/31 in 3, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 271203, 271277, 271351, 271425, 271499, 271573?\n\"Answer: 74*x + 271129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -8. Solve -b = 2*h + o, -h + 4*b - 3*b = 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1898*g**3 - 1 + 10*g**2 - 1924*g**3 - 2*g**2 as k + f*g**3 + a*g**2 + l*g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7051.\nAnswer: 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32474220 by 6.\nAnswer: 5412370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 9*o - 5. Let u be d(8). Suppose 5*t - 61 = -3*a, u*a + t = a + 29. Let b = 108 - 72. What is the greatest common factor of b and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 267, 307, 381, 501?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:01 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-12)\/15) - -15. Suppose -11*c - 3*f = -k*c + 8, -5*f = -5*c + 40. Suppose w - 52 = -5*l, -5*w = -l - 0*w. Solve c*r + l = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.956 + 0.962. Which is the fourth biggest value? (a) 3\/2 (b) u (c) 2\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2*g = 0, -18*g - 12 = -15*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**7\/420 - r**6\/90 - r**5\/60 + r**4\/6 + 13*r**3\/6 - r. Let c(i) be the second derivative of y(i). Factor c(n).\nAnswer: 2*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 821, 2, 34\/15, 5, -1?\nAnswer: 34\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97.1 - 8.1. Let u = z + -89.000157. Round u to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose -o = -2*c + 1, -2*c - h = -2*o - 0. Calculate the remainder when (-60)\/(-14) + (-4)\/14 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1109 - -1113. Solve 2*k + m*t = 5*t, -3*k - 4*t + 11 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -966*x**4*y**2 - 16*x**4*y - 2*x**4 - 343*x**2*y**2 + x*y - 12*y**2 wrt x?\nAnswer: -23184*x*y**2 - 384*x*y - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.2 (c) -4\/7 (d) 18 (e) 4\/11 (f) -0.1 (g) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -15274.234.\nAnswer: -15274.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1213.97 to the nearest 10.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, e: 1, m: 9}. What is prob of picking 2 m?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1\/69, -4740, 0.4, -0.43?\nAnswer: -4740","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-2))\/(27\/(-21)*(-309)\/(-2781))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10549941140 rounded to the nearest 100000?\nAnswer: 10549900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*b - 2*n, 8 = -6*b + 4*b - 3*n. Let r be 1\/(-1) + (b - -1). What is the second derivative of -x + x**5 + 5*x**2 + 0*x**r - 5*x**2 wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 0 (b) 3 (c) -3 (d) 35 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-18\/13)\/v*v\/(((v\/(v*v**(-4\/7)))\/v)\/v)*v**(2\/43)\/v*v**(2\/31) assuming v is positive.\nAnswer: v**(-102503\/121303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40468 divided by -3?\nAnswer: -40468\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 3*x - 15, -10 = 5*v + 96*x - 94*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 12638302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40374 times 0.4?\nAnswer: 16149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49280 is divided by 258.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -77, -66, -37, 16, 99?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2156 and 548?\nAnswer: 295372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2 - 3 - 6*d - 6. Suppose m + 6*j - 3*j + 4 = 0, -5*m + 2*j - 37 = 0. Is a(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 2, y: 7, g: 1}. Give prob of sequence ghqh.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 13) in base 12?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1402 (base 9) to base 6.\nAnswer: -4515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 171 and 209.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1662*b + 960*b + 701*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -67\/110184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.99739 and 3?\nAnswer: -5.99217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 4. Suppose -3*t = -u - 4 - 0, -t + 13 = -h*u. Let l = -4 - u. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9142903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45476176 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: List the prime factors of 23392997.\nAnswer: 3089, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 574054905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7 = v, 0 = -q - 4*v - v + 21. Let x be (-1)\/q*23 - (-4)\/16. Let l = 6 - x. Solve 5*r + 3 + 7 = l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + 4*q - 5. Suppose 4*h + 16 = -0*v - v, 2*v - 3*h = 12. Let i = -6 + v. Is f(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002.6 * -17\nAnswer: 17044.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -962323871981 minus -5?\nAnswer: -962323871976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485274 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 42*i + 3 - 5.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 15*j**2 - 78*j + 25. Let u be n(20). Let v = 460 - u. Sort 1, 45, v in ascending order.\nAnswer: v, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 13. Calculate the remainder when d(0) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 4*v**5\/5 - 7*v**4 - 496*v**3\/3 - 640*v**2 + 9361. Factor n(h).\nAnswer: 4*h*(h - 16)*(h + 4)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52122 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 215*l - 3571. What is the least common multiple of 288 and n(17)?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 - (0 - (14 - 15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7, -1, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -5. Let i be (-2)\/(-8) - (-30)\/x. Solve 0*s - 4 = -i*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147.2 - -162. Let z = 18 - y. Let f = z - 2.7. Is f equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let t(q) be the first derivative of 38*q**3\/3 + 21. Determine a(t(c)).\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2201 by 7306.\nAnswer: -2201\/7306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z**2 + 11*z. Let l(d) = 8 + 2 - 7 + d - 3. What is 11*l(v) - q(v)?\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 - 350*c**2 - 274*c + 8629. Calculate o(88).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2 - 2. Suppose -53 = -z - 3*u, 98 = 2*z + r*u - 0*u. What is z rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12054 + -1?\nAnswer: 12053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-50)\/(((-4)\/(-10)*5)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 17. Suppose 3*q - t = 18, 12*q - 11*q + 3*t = -4. Let w be y(q). Solve -w*d + 2 + 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51535914.8*-0.4\nAnswer: -20614365.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2754 (b) 3\/7 (c) -2 (d) 0.2 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) + 168\/63. Let o(m) = -2*m**2 + 3*m. Give o(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92\/675 + -2\/675. Let d(p) = -p**3 + 7*p**2 - 3. Suppose 0 = 3*u + 2*u - 35. Let m be d(u). Which is the smallest value? (a) l (b) -5\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3174*s**3 + 2*s - 1015*s**3 - 2*s.\nAnswer: -4189*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 78974 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 821.5932 decades?\nAnswer: 8.215932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -13*w + 13. Let r(j) = -9*j + 12. Let o(f) = -2*a(f) + 3*r(f). Suppose -11*l + 12*l - 7 = 0. Determine o(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {f: 1, k: 1, m: 2, x: 6, w: 4, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0645 - 0.10678?\nAnswer: -0.04228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 4. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 17*c**2 + 4046*c + 4045. Determine u(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**2 + 28376*c - 28376*c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -3)*(-98)\/(-5). Suppose -358 = -6*c + i. Calculate the remainder when c\/(-6)*(-9)\/6 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -66. What is the nearest to h in -4\/9, 2\/17, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 499*g**4 - 645*g wrt g.\nAnswer: 5988*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((26\/(-8))\/13). What are the prime factors of (-18)\/(-36) - 1746\/y?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0*i + 2*i - 16 - 15. Let b(v) = -v + 15. Let a(n) = 9*b(n) + 4*r(n). Let y be a(8). What is the greatest common factor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 2. Let t be c(-7). Suppose l + 4 = -0*l. Sort 3, l, t in ascending order.\nAnswer: t, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(15\/1)\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6834 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7861 + -7862. Let x = -15 - -15. Let q = x + 1. Put q, -5, t in decreasing order.\nAnswer: q, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2\/5, 6.4, 0?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 320, 2 in increasing order.\nAnswer: 1, 2, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57378, -114698, -172016, -229332?\nAnswer: -286646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (2 + -2*sqrt(832))) + sqrt(1053)*-2 + -3 + 0.\nAnswer: -5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308346 is divided by 2949.\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1\/4, 0.1, -1\/25, 0.84 in increasing order.\nAnswer: -1\/25, 0.1, 2\/11, 1\/4, 0.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) -3\/5 (c) 1\/6 (d) -17.2 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-12) - (-372)\/48. Let y(l) be the first derivative of -35\/6*l**4 - 14\/3*l**2 - j + 4\/3*l + 5\/3*l**5 + 23\/3*l**3. Solve y(p) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3130599 is divided by 5166.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35854.001 - -35999.5. Let i = s + -144.8. Let h = -0.101 - i. Sort -2\/5, h, -1\/3, -3\/2 in decreasing order.\nAnswer: -1\/3, -2\/5, h, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 + 31 = -37*c. Let k be (5\/(70\/c))\/(48\/168). Let s be (-8)\/70 - (-4)\/(-14). What is the closest to s in 6, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d**2 - 5*d + 2. Calculate the smallest common multiple of c(1) and 258.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207715721 = -33*j - 36260301 - 294352978. Round j to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 1 + 23. Suppose 4*w + 8 = 0, 2*c + 26 = 2*w - 3*w. Let f be c*2\/12*-2. Solve -f*y - h = -j + 2*j, -20 = 5*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-8)\/(-5))*5 - 0. Suppose -g*w = -7*w + 10. Let q(z) = -2*z**w - z**3 - 60 + 60 + z. Calculate q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.4 (b) 1\/4 (c) -5 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, 222, 729, 1718, 3351, 5790?\n\"Answer: 27*l**3 - 2*l**2 + 4*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4648921\/4, 3\/8, -0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b = 293*b - 5157 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 8*n**2 - n + 4. Let j be p(8). Suppose -138 = -5*r + 112. What is the least common multiple of 18 + -2 + (j - 0) and r?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104423 - 10?\nAnswer: -104433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-124)\/266 - (-24)\/(-228). Let g = q + 2\/77. Let o = -2.5 - -3. What is the fourth biggest value in g, 2\/3, 3, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -450, -482, -546, -654, -818?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from uvvuvvuvuvuvvvvuuuuu?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5121396 by 2560698.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -13, 0.2.\nAnswer: -13, -5\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.6 + 6.3. What is the nearest to -1\/2 in 4, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.67485 rounded to two decimal places?\nAnswer: 1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Let n = -1 - m. Let z = -0.395 + 1.395. Which is the third smallest value? (a) n (b) -5 (c) z (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3\/23, 0.1, -4, 1\/14, 0.6?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 4885*m**3 + 19480*m**2 - 19460*m.\nAnswer: 5*m*(m - 973)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1939 and -0.2334.\nAnswer: 452.5626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -2.66.\nAnswer: -1.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 7*z - 4. Suppose 2 = 3*f + 5*w + 39, -2*f - 4*w - 28 = 0. Let a be (-7 - 2)*f\/(-6). Does 13 divide q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 561315007, 1122630016, 1683945025, 2245260034, 2806575043?\n\"Answer: 561315009*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 9*q = 15, 282 = 2*p - 2*q. Let k be (12\/p)\/((-5)\/(-5553138)*4). Let s = 23135 - k. Calculate the common denominator of s and -115\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1886985 millilitres?\nAnswer: 0.0001886985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26196 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 17*q - 42. Let a(y) = -17*y**2 + 3. Give z(a(l)).\nAnswer: -289*l**4 + 391*l**2 - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 147. Suppose 5*c - 128 = -2*i, -3*i + 2*c + 73 + g = 0. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2370 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and -19884.\nAnswer: -19883.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 64*b + 67*b + 2 - 173*b + 46*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009660 is divided by 5235?\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*j - 19 - 7, 4*j = 8. Let g be (-3)\/2*(-104)\/6. Suppose 5*y - 69 = g. What is the remainder when y is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1821037005 to the nearest integer?\nAnswer: 42674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/(423\/754884) - (9 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, k: 1, s: 7, m: 6, g: 2}. Give prob of sequence sgs.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 8 = -28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -13*v + 11*v + 11, -5*p - v + 13 = 0. Suppose 2\/3*g**4 + 0 + 0*g**p + 0*g**2 + 0*g = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-54)\/(-63))\/((-6)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1726, -1767, -1812, -1843, -1842, -1791, -1672, -1467?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 50611.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/(6\/(-126)). Suppose 5*z + p = 4. Is 190 + -13 - 0\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -184 + 12 + (-2)\/2. Let t = -297 - d. Let m = t + 263. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 521*c**4 - 436*c**4 - 279*c**2 - 94*c**4 + (2 + 0 - 1)*(2*c**4 - c**3 + c**3) + 0*c**2 + c**4 + 0*c**2 + (-2 - 1 + 1)*(5*c**4 - 4*c**4 + 0*c**4).\nAnswer: -8*c**4 - 279*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14075, 28151, 42227, 56303?\nAnswer: 70379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2 + 2)*((1 + 0 + 0)*(0 + 0 + 1) + (3 - 2 + 2)*(-4 + 1 + 0))*(6*p - 6*p + 2*p).\nAnswer: 64*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 0.1, -3, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v*((v\/(v*v\/(v*v**0)))\/v)\/v)**1 assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 18 = -5*g. Let m be ((-4)\/2 + 7)*(-9 - -11). Suppose 0 = -m*t + g*t + 364. Is t a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72988217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 1167 - 885. What is the third derivative of 0*i**3 + 0*i**3 - 95*i**5 + 105*i**2 + y*i**2 wrt i?\nAnswer: -5700*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420)*1 - (sqrt(20) - sqrt(980)*3))\/((-3*(sqrt(100) - -4*sqrt(100)))\/sqrt(10)).\nAnswer: -31*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -67, 0, 0.4, 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4340249910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116140 and 23228.\nAnswer: 116140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -733 - -772. Calculate the greatest common factor of 208 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18626530.\nAnswer: 2, 5, 13, 143281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004929386 to five dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/15)\/(4\/20220). What is the units digit of (70\/(-105))\/(4\/t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21944 and -21940 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 22*f + f**2 - 9 + 6 - 15 - 3. Let z be j(-10). Let c(w) = -w. Let u(i) = 2 - 1 - 8*i - 3. Calculate z*u(k) + 6*c(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001966 rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:53 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 695489?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 1977670 = -1018501 + 693071. What is the ten thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecce when four letters picked without replacement from ccceccecececccccecc?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(192) + 3)**2*-4 + -1.\nAnswer: -785 + 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 356\/(-4628)*13*3\/1*58\/3.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -677 or 20877?\nAnswer: -677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10 + 6*l - 1 - 3*l. List the prime factors of t(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559 at most 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65279921 to the power of 1\/2, to the nearest integer?\nAnswer: 8080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-123 + 123 + 26*q**2)*(-2 - q + 2).\nAnswer: -26*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8986 by -43.\nAnswer: -8986\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 4*f**3 - 2*f**2 - 33. Factor y(t).\nAnswer: 4*t*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 0, -2*y = b - 7*y + 20. Suppose -26 = -6*x - 8. Sort x, b, -2 in ascending order.\nAnswer: b, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37088 + -37084. Solve -20 = v + y*l - 24, l = 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -5*t - 10, -3*h = t - 18. Let q(j) = j**2 - 9*j + 39. Let u(c) = -15*c - 4. What is the remainder when u(-5) is divided by q(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 5*y**3\/3 - 2. Let s(i) = -4*i**2. Let k = 17 - 22. Let d(o) = -4*o**2. Let r(u) = k*d(u) + 4*s(u). Give g(r(q)).\nAnswer: 80*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**3 + 3*n**2 + 20*n - 8. Let u(z) = -4*z + 1. Calculate -f(h) - 5*u(h).\nAnswer: 4*h**3 - 3*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 64 - 131 = -5*r, 0 = -2*r - 5*g + 113. Let k be (-9)\/12 - (-165)\/r. Let z = k - -36. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -135669 and 29862?\nAnswer: 165531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3101, 6207, 9313, 12419, 15525?\n\"Answer: 3106*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-168)\/27 - 4\/(-18). Let y(f) = -5 + 5*f**2 + 15*f - 14*f + 2*f**3 - f**3 + 2*f**2. Is y(k) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/9 + 7*y**4\/9 + 4*y**3\/3.\nAnswer: y**3*(y + 3)*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594 divided by 22.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 4, 142 in increasing order.\nAnswer: -5, -3, 4, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, f: 12}. What is prob of sequence uf?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (24 - 24) + -69.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Suppose -m*x - 37 = -4*f, -f - 2*x + 6 = -6*x. Calculate the least common multiple of 9 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 35 = 79 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**6\/45 + 2*r**5\/15 - r**4\/18 - 4*r**3\/9 - 301*r. Factor f(q).\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 22 = 4*l - 0*m, 11*l = 7*l + 4*m - 6*m + 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 280369 to the power of 1\/2, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13002 - -3222?\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*g + 5*w, 2*g + w - 6 = g. Suppose -s - g = -m - 3*m, 0 = -5*s - 10. Solve m*y - 7 + 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 + 177. What is the remainder when ((-7)\/2)\/((-2)\/12) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from argzrz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13695 and 124168?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u - 2*u)*(-2*u - 2*u + u) - 83 + 2*u + 83 - 9*u**2.\nAnswer: -6*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 754663 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 196.2603 to zero decimal places.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19902619, 19902617, 19902615, 19902613, 19902611?\nAnswer: 19902609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -0.076\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2)*2)\/(-1). Let n(i) be the second derivative of i**4\/3 - i**2\/2 + 39*i. Let d be n(b). Solve 0 = -4*o - 20, d*x + 4*o + 16 = -o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/10, -51 in increasing order.\nAnswer: -51, -1\/2, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2*n + 3)*(0 + 0 + 2) + 3*n - 2*n + n - 2*n + 1 - 1)*(3457*n - 26 - 10 + 36).\nAnswer: -13828*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198 - 178 + 3*n**2 + 86 + 290.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from riiiiriii. Give prob of picking 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -3, 3 in ascending order.\nAnswer: -3, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2055 is divided by 129?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 8*p**2 - 10*p + 6. Let c be (6 - 4)\/(1 - (-33)\/(-27)). Calculate the remainder when 43 is divided by m(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18734452889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 + 3. Let i be d(0). Let n = -8 + i. What is the units digit of n*(-2)\/(-8)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -708280656 divided by -6?\nAnswer: 118046776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 261773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -262.007442 to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 k when four letters picked without replacement from fkkffkkfkkfkk.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b + 14 - 14)*(22*b**3 - 47*b**3 - 4*b**3).\nAnswer: -174*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 47*t + 26. Let d be v(4). Calculate the common denominator of -61\/30 and d\/(-4)*(-2)\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f. Let d(m) = -2*m - 8 + 8 - 7*m. What is k(d(h))?\nAnswer: -63*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 815421814 and 524.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 18 = 3*u + u, 18 = -5*u - 4*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12012 + -12010. Are -1247 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/(-30))\/(-9)*10\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.03839*0.6\nAnswer: 0.023034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 32 (c) 5 (d) 4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952.9306nm to kilometers.\nAnswer: 0.0000000009529306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -3. Let v = -3.9999998 + h. What is v rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - -1.97. Let j = 1.9 - l. Let h = j + 0.1. Is h != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1851 or -8?\nAnswer: 1851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 286 - 86 = 0. Let p = -80 - j. Let q = 21 - p. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Let v be 153\/3*2\/(-6). Let w = v - -24. Solve u*g - w = -3*s + g, -2*s + 23 = 3*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, g: 1, n: 2, k: 1}. Give prob of picking 1 a and 1 g.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3 + 7646*w**2 - 7660*w - 45888 = 0.\nAnswer: -3824, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2. Let c(g) = -234*g. What is c(x(p))?\nAnswer: -702*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 8:13 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 11*n**2 + 12*n + 24. Let a be v(-4). Suppose 4*c - h = 1061, -h + 10 = c - 249. Calculate the greatest common factor of c and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/25)\/w*w)\/(w\/w**(-1\/13)) assuming w is positive.\nAnswer: w**(-376\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*-3157.11\nAnswer: 3157.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*3*-3 + -6*sqrt(133)*3)\/(-1*sqrt(1008)*-2 + sqrt(1008) + sqrt(1008) + -4*(sqrt(1008)*1 + sqrt(1008)))*-3.\nAnswer: -27*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 16*o**2 + 16*o - 11. Suppose -72*b - 17*b - 178 = 0. Let q(y) = -3*y**2 - 3*y + 2. Calculate b*p(z) - 11*q(z).\nAnswer: 2*z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l**2 + 4 - 4 - 144*l**2 - 140*l**2 to the form b + d*l + j*l**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*h**4*m + 1178*h**4 + 25*h**2*m + 7*h*m + 1892 wrt h.\nAnswer: -2184*h*m + 28272*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24992 = 1322*o - 136*o + 1100 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2, 4 in descending order.\nAnswer: 25, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1390917975 and 26.9.\nAnswer: 1390918001.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 14. Let i be (-30)\/(-7) - 2\/7. Suppose i = -4*o - 12. Sort o, -1, k in decreasing order.\nAnswer: k, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/(-130) - ((-96741)\/2)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117) - sqrt(117)*-2) + sqrt(117) + 3*4*sqrt(117))\/(sqrt(9) + -2*sqrt(729) - sqrt(81)\/(sqrt(9)*4)).\nAnswer: -88*sqrt(13)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 25, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10c365 - -6?\nAnswer: 10c36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u = -3*u - 145*u - 92*u - 10640 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432 - 1245 + 100*m**3 - 170 - 853.\nAnswer: 100*m**3 - 1836","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s - 3. Let p(a) = 11*a + 2. Determine -3*p(i) - 2*z(i).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3089*a + 3084*a + 55 = 0, 3*f + a = 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 18 = -2. Suppose -3*m + 15 = -3*s + 6*s, 4*m - 12 = 0. Solve 3*o = v*r - 5, 4 = 2*o + s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2013 is divided by 79?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 76*p + 52 = -78*p, k + 4*p - 36 = 0. Solve -k*d = -80 - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(22\/264)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4503 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1308*n + 61455. What is d(-47)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007951 to four dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83075 is divided by 16593.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200521 is divided by 581?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 2)*(0*w + 0*w + 2*w - 6).\nAnswer: -8*w + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -145914 divided by 6?\nAnswer: -24319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1995\/(-735) + (-18)\/(-14) - ((-902)\/7)\/2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 34151130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 2:56 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/3)\/4 + -1. Let v = 168 - 338. Let f = v - -170.2. Which is the second biggest value? (a) 3 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*m**4 + 55*m**3 + 24*m**2 + 1253566*m?\nAnswer: -276*m**2 + 330*m + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*j**3 - 72*j**2 - 216*j - j**4 + 67*j**2 - 148*j**2 + 21*j**3 = 0. Calculate j.\nAnswer: -24, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3217*v - 22509. Let h be s(7). Suppose 4*z - 2*y - 5 - 1 = 0, -3*z + y + 6 = 0. Solve -h*d - 17 - z = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**2. Let p(k) = -13*k**2 - 13*k**2 + 23*k**2. Give l(p(g)).\nAnswer: -63*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 4*s - 3. Let z be n(5). Suppose -3*v = z*m - m - 54, 3*m = v - 8. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1950 = 18*m - 96*m. Which is smaller: m or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 32 - -57 - 21\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1957 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/16 - 37\/48. What is the closest to 1 in w, 8\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u + 3 = -2*t, -2*t = 5*u + 13. Let w be 22*(2\/t)\/(-1). Solve 25 = 4*d - 4*b - w, -3*d = 4*b + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -390? (a) -1 (b) -0.1 (c) 0.3 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 8*g - 6. Let m = -12 - -29. What is the remainder when m is divided by o(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d1e (base 16) to base 15.\nAnswer: 231e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6028, 5748, 5010, 3586, 1248, -2232?\n\"Answer: -38*n**3 - n**2 - 11*n + 6078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1958 + -1958.3. Let p be (-4)\/(-14) + (-10)\/(-14). Suppose 0 = 3*v + y + 8, y + p = 4*v + 21. Sort 1, z, v.\nAnswer: v, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/3*(985\/40 + 5) and -93\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 10 + 5. Suppose s*i + i - 8 = 0. Suppose 3*o - i*h = 61, 3*o = -2*o - 4*h + 87. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d**2 + 6*d + 7. Let z be u(-3). Is 12 a factor of 24\/7*(z - (2 + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14 = -16. Solve -4*h + w + o = -4*w, -5*w - 10 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -32*d**3 + 2*d**2 + 3*d + 2. Suppose 0 = 5*c - 4*c - 4*u + 6, u - 2 = 0. Suppose 18 + 12 = c*r. Calculate the least common multiple of q(-1) and r.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 + 4*v**2 - 86*v - 5. Let u(c) = 17*c**3 + 18*c**2 - 345*c - 19. Calculate 9*h(w) - 2*u(w).\nAnswer: 2*w**3 - 84*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose 0 = 5*p - c*p - 21. Suppose -2*s + 4 = 5*y, -p*y + 2*y - 10 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1404)\/(-65))\/18)\/((-27)\/1440*-88)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22\/2805)\/(32\/240))\/((-11)\/132)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57649*s**5 - 186*s**4 + 47*s - 286571.\nAnswer: 1152980*s**3 - 2232*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -2*(sqrt(152)*2 + sqrt(152)) - sqrt(152))*1)\/(4*sqrt(32)\/(sqrt(4)*2))*5.\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1977287050146 take away 70?\nAnswer: -1977287050216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z - 70*z + 2*z**2 + 6 + 7*z**2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 510 = 9*b. Suppose 26*s = 36*s - 150. What is the remainder when b is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/120 - h**5\/60 - h**4\/24 + 7*h**3\/6 + h**2 - 3. Give t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-378)\/(-37)) - (-6)\/(-27). Let o = 199\/42 - t. What is c in -8\/3*c + o*c**2 - 2 = 0?\nAnswer: -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g*g\/g**(-1\/15)*g)\/g)\/g)**18 assuming g is positive.\nAnswer: g**(276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 31, -4\/9, 2\/9 in increasing order.\nAnswer: -6, -5, -4\/9, 2\/9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40753, -81516, -122279, -163042, -203805?\n\"Answer: -40763*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 3820 - 6304 = 314*j - 1889 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-3))\/(2\/(-4)). Suppose z = j*z. Let s(y) be the first derivative of y**2\/2 + 3*y - 3. Determine s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -2\/59 (c) -1\/2 (d) -2 (e) -1468\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z)**42\/((z**(-1\/9)\/z)\/((z\/z**6*z)\/z))*(z*z*z*z*z*z*((z\/z**0*z)\/z)\/z*z*z)**(3\/5)*z**(1\/6)*z*z\/z**7 assuming z is positive.\nAnswer: z**(-11693\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2823*g**2*k**3*r + 10*g**2*k**3 - 88*g**2*k wrt r?\nAnswer: -2823*g**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 446417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 15*b. Suppose 6*f = 7*f - 12. Let a(i) = 0*i - 16*i + f*i. Determine p(a(k)).\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 333*s**4 - 12000*s**3 + 63369*s**2 - 92178*s + 3240 = 0.\nAnswer: 4\/111, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 460.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-16) + 3687*6\/36?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -39. Let x be w\/(-6) + 1\/(-2). Differentiate 0 + 1 + 0 - 2 + x*z**3 with respect to z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, 121939.\nAnswer: 1, 12, 121939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:31 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, u: 2, p: 1, m: 6, i: 1}. What is prob of sequence uilm?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-116)\/(-16))\/((-1)\/(-4)). Solve 0 = r + 4*x - 31 + 13, -2*r = -5*x + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + 0.5. Let p = k + -0.17. Sort -2\/3, -2\/7, p.\nAnswer: -2\/3, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 1820, 4109, 7324, 11471, 16556, 22585, 29564?\nAnswer: 37499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.1 (c) 3\/2 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(77)*-1 + sqrt(77))\/sqrt(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -18*m. Let u(n) = -n. Let z be (-1)\/2*(17 + -7). Let g(s) = z*u(s) + w(s). Suppose 2*q = -0*q - 4. Let h(t) = -4*t. Calculate q*g(r) + 7*h(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 4*r + 51, -452*x = -447*x - 6*r - 59 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + h - 2. Let z(f) = 2*f**2 + f - 1. Suppose -7*y + 10 = 3*s - 3*y, -5*y + 24 = -2*s. Let w be ((-3)\/(-7) - 4\/(-7))*3. What is s*d(m) + w*z(m)?\nAnswer: 2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**3 - 19*d**2 + 750*d - 9. Let b(n) = -3*n**3 + 10*n**2 - 375*n + 4. Let r(y) = 9*b(y) + 4*m(y). What is the second derivative of r(q) wrt q?\nAnswer: 6*q + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 2\/19, 27 in descending order.\nAnswer: 27, 2\/19, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 55. Solve 0 = 5*m - 25, -4*f - 4*m + m + 23 = h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:42 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 58 - 2*b**2 + 4\/21*b**3 - 3\/70*b**5 - 5\/12*b**4 + 0*b. Factor n(d).\nAnswer: -2*(d + 4)*(9*d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 13. Let a(x) = -15*x - 105. Let q be (1\/(-1)*3)\/1. Let o(z) = q*a(z) - 25*b(z). What is the derivative of o(d) wrt d?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 3. Let j be n(-15). Suppose -299500009 = 5*a + 3*p, j*p - 13*p = 4*a + 239600003. Round a to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(1\/11)*i)**(-10)\/(i**(-1\/4)*i)**(-1\/37) assuming i is positive.\nAnswer: i**(-50287\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 966 and 1518?\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335811 = 14*w - 330575. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4.5. Let b = l - -0.4999987. Round b to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63983.01um in kilometers?\nAnswer: 0.00006398301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -285162.\nAnswer: -4\/142581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/957*27*(-3)\/(-18)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34626535*w + 34626484*w = 3111 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250240119*v**4 - 758*v**2 - 50*v - 196 wrt v.\nAnswer: -6005762856*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtrmzzrjrjzzt. Give prob of picking 2 t.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u**3 - 1363*u**2 + 81*u - 720. Let v(j) = -2*j**3 + 171*j**2 - 10*j + 90. Let m(d) = -2*b(d) - 17*v(d). Find the second derivative of m(k) wrt k.\nAnswer: -12*k - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiiuiu. Give prob of sequence uiuu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12415282*g**3*y + 86*g**3 + 2*y**3 + 235949 with respect to y.\nAnswer: -12415282*g**3 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1433, -1428, -1409, -1370, -1305, -1208?\n\"Answer: q**3 + q**2 - 5*q - 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4219631 + 9566650. Let q = 5347014.000003 - s. Let l = q + 5. Round l to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1751*i + 1165*i = 33988 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p + 1. Let d(a) = -448*a**3 + 3*a**2 - 96*a + 2. Let q(y) = -d(y) + 2*s(y). Find the third derivative of q(k) wrt k.\nAnswer: 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 10:32 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + -3 + -1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 v when three letters picked without replacement from {d: 8, l: 2, v: 8}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2501.024 + 2495. Round r to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600982236 to the power of 1\/3, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c. Suppose 3*n = -c*i + i - 65, 95 = 2*i + n. Is 20\/i + (-256)\/(-10) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 8*j + 2*z = -10, -2*z - 10 = -j. Do j and -105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4 + 6*h + 14*h**2 + h**3 + 8*h**2 - 15*h**2. Suppose 12 = 3*d + 3*c, 2*c + 19 = 5*d + 6*c. Let p = d + -9. Calculate f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/30)\/((-4)\/(-10)). Let j = 1 + z. Suppose p - 6 = j. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 1980*q**2.\nAnswer: -5*q**2*(q - 396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 738 + -357. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3 + 5 + 2)*(r**4 + 1 - 1) + 0*r**2 + 7*r**5 + 0*r**2.\nAnswer: 8*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -4*b - 243. Let x = b - -164. Let v = 241\/3 - x. What is the closest to v in 0.1, -2, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*s + 38, 3*s + i - 3*i - 24 = 0. Let d be ((-3)\/s)\/(27\/((-63)\/7)). Put 96, -0.1, d, 0.2 in decreasing order.\nAnswer: 96, 0.2, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 25*u**3 + 8*u**2 + 24*u + 1888. Let g(y) = 16*y**3 + 5*y**2 + 15*y + 1259. Give 5*a(v) - 8*g(v).\nAnswer: -3*v**3 - 632","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j + 386 + 13*j - 425)*(-1 - 1 + 4).\nAnswer: 4*j - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 2*t**4 + 0*t**4 + (3*t**2 - 7*t**2 + 2*t**2)*(-3*t**2 + 3*t**2 + t**2) - 1026 - 1532*t**4 + 1531*t**4 - 747 + 4*t**2.\nAnswer: -t**4 + 4*t**2 - 1773","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 5*z**2 - 2*z**3 + z**4 - z**2 + z**4 as m + b*z**3 + i*z + o*z**4 + n*z**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(275) + sqrt(275))**2 + sqrt(275) - sqrt(132)\/sqrt(1452).\nAnswer: -386*sqrt(11)\/11 + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 5933*h**5\/20 - 7*h**4\/12 - 18*h**3 - 8596*h. Find the third derivative of s(t) wrt t.\nAnswer: 35598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2 - 5*i - 25. Let p(a) = 8*a**2 + 6*a + 26. Let q = -1190 - -1195. Determine q*p(k) + 6*b(k).\nAnswer: -2*k**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*a + 262, 3*a + 275 = 5*x - 39. What is the greatest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2351 is divided by 225.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 2*h + 88. Let x(l) = -4*l**2 + 4*l + 175. Give -11*p(k) + 6*x(k).\nAnswer: -2*k**2 + 2*k + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*a - 26. Let r be (-2)\/((-83)\/483 + 7\/a). What is the greatest common divisor of 23 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13866244*i**4 - 12912823*i wrt i?\nAnswer: -166394928*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*k - 3)*((52 + 39 - 139)*(5*k - 14*k + k) + (1 + 5 - 5)*(3*k - 2*k + 0*k)) to a + u*k + l*k**2 and give l.\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -219 (b) -1\/2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ea92 (base 15) in base 14?\nAnswer: 14137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2792052cm in millimeters?\nAnswer: 2.792052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000282 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/552*270 + (-2)\/8 - 5.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32234535 + 5?\nAnswer: 32234544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -106832328*v. Let r(d) = -d. What is r(w(i))?\nAnswer: 106832328*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102270 is divided by 201?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 121451531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/(1\/(-15)). Suppose z*l + 32 = 3*l. Let a be -25 + (1 - -10 - 1). Are l and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3323 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: In base 12, what is b5 + ab?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aabmmlmlblaba. Give prob of picking 3 a.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 564520 - 12736 = 0. Factor -62461 - 16335*j + 66704 - 5*j**3 - 495*j**2 - q.\nAnswer: -5*(j + 33)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*f + 17. Let u be ((-42)\/(-210))\/((-8)\/(-10)*-1). Which is the smallest value? (a) u (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a centimeter in millimeters?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11203121331 + 0?\nAnswer: 11203121331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s - 12. Let u be 150\/24 - (-1)\/s. List the prime factors of (-43)\/(-2) - (-3)\/u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1885 = -5*y - t + 12444, 0 = 2*t - 8. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 1\/5*p**2 + 1\/30*p**4 + 2\/15*p**3 + 2*p + 0. Let y(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -41. Let p(q) = q**3 + 4*q**2 + 3*q + 2. Let h be p(-2). What is the least common multiple of r and (h - 3) + 57\/3?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 + 3*c**4 - 2*c**4)*(-521 + 235 + 368).\nAnswer: 82*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 116587 (base 13) in base 7?\nAnswer: 3342655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 552.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -354)*(-8)\/(-12). Suppose 3*d + s = 2*d. Let a = -142 - d. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56697 is divided by 18885.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.338 and 308288705.\nAnswer: 308288704.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -40404515 (base 6) in base 3?\nAnswer: -2011112010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -4) + 4 - 23 - (0 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/7 + 2*n**3\/7 + 3*n**2\/7.\nAnswer: -n**2*(n - 3)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1046402 (base 9) to base 3\nAnswer: -1001120110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 358.4130146 to the nearest integer.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 507*w + 17390. Let d be x(37). Let g = -8 - -5. Sort 13\/4, g, -0.2, d in descending order.\nAnswer: 13\/4, d, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 2, r: 9, e: 3}. What is prob of picking 1 a and 1 r?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.01352478+143\nAnswer: 142.98647522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57.1 - 57. Let m = 0.1 + l. Is -0.25 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2086, 4, -5 in descending order.\nAnswer: 2086, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnm when three letters picked without replacement from mmmdtdtmtdllltnmmt?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.1, -4, 5.6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 2*x + 2. Let z(o) be the first derivative of o**3\/3 + o**2\/2 - o + 7. Let w(r) = f(r) + 2*z(r). Let n(i) = -i. What is w(n(v))?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 + 16*n**2 + 16*n. Let q(s) = -s**3 - 3*s**2 - 3*s. Give 16*q(d) + 3*v(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -22. Let v = -1565 + 10951\/7. Which is the third smallest value? (a) v (b) -1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -79.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.5 + 3.5. Let f = -13 - -9. Which is the closest to 0? (a) q (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2268361069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by 56128\nAnswer: 31\/28064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003362818 rounded to 7 decimal places?\nAnswer: 0.0003363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Suppose -x - 7 = -3*k. Let h(i) = -i**2 + 7*i + 4. Let u be h(7). Solve -3*o = -u*d + k*d - 1, -2*o + 10 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.98 + -2.28. Which is the nearest to 0? (a) 1.6 (b) 0.1 (c) 4\/5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*z**3 - 611261*z**2 - 45664*z + 3308 wrt z.\nAnswer: 432*z - 1222522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -57. Suppose x = 14 + 17. Let d = x + l. Calculate the highest common divisor of 60 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 40*y**2 - 1549*y + 1000. Determine o(38).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -820 - -436. Let a = p - -383.9999619. What is a rounded to six decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 5\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 7 = x - 13, -x - w = -5. Suppose -2*q + x = 4*m, -3*q - q = m - 23. Let r(c) = c + 3 + q*c - 6*c. Give r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 332.2 + 12.66\nAnswer: 344.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -219 at least -95192\/433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5594*j + 92 + 93 - 279 + 94 to the form q*j + l and give q.\nAnswer: -5594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1704*g + 9*g**4 + 628*g**3 + 526*g**3 - 1132*g**3 - 31*g**4 wrt g.\nAnswer: -264*g**2 + 132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746, -1304, -1862, -2420?\nAnswer: -2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20937 is divided by 6645?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n**2 - 12*n - 9. Let p be 7*2\/14 - 3. Let y(r) = -3*r**2 - 3*r - 2. Give p*t(l) + 9*y(l).\nAnswer: -3*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + ((-2)\/(-4))\/(7\/14). Suppose g = 3*i - i - 4. Suppose -3*r + i*r = -11. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17533062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 62, 68, 36, -46, -190, -408?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(108*o**2 - 5*o**2 + 44*o**2).\nAnswer: 441*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/2 + (-198)\/(-2). Suppose -37 - y = -5*s + f, -5*s + 123 = 3*f. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -104, -208, -312, -416, -520?\n\"Answer: -104*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {a: 2, d: 1, c: 3, p: 2, t: 2, o: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {l: 2, a: 1, e: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 25, 2*b + 0*i - 1 = i. Let k = b + 30. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(5 - 1353\/270). Let i be -3 + ((-702)\/q)\/(4\/10). Let l = i + -34. Solve -3*v + z + l + 18 = 0, 4*z + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*sqrt(132) - sqrt(132))*-4 - ((2*sqrt(132)*-3 - sqrt(132)) + sqrt(132)))\/((sqrt(432) - -2*sqrt(432))*-6).\nAnswer: -sqrt(11)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -952 + 951. Suppose 14*b - 5 = 13*b. What is the fourth smallest value in -0.5, h, b, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-1\/4)\/g))**(-47)*g*g**(-1\/3)*g*g*g\/(g*g*g**(-6)*g))**27 assuming g is positive.\nAnswer: g**(-10701\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(21\/5)*2\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 2*d**2 - 2*d**2 - 2*d**3 + 18.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*m + 29702 - 27334 = 341*m - 42237 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 19 + 7)*(-12*s**5 + s**5 - 3*s**5).\nAnswer: -196*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103834*l**5 + 2*l**3 + 2*l - 160427?\nAnswer: -2076680*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = 5*v + 1552. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740 divided by -4?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -12118\/7 greater than -1732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3054524km?\nAnswer: 305.4524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 967095 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 3*q**2 + 4*q + 3. Let k be b(-3). What is the tens digit of k\/1 + 0 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98328604?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpf when three letters picked without replacement from pfufpuufufffp.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/90156 and -19\/7595643.\nAnswer: 30382572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4755559, 4755550, 4755529, 4755490, 4755427, 4755334?\n\"Answer: -q**3 - 2*q + 4755562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) - 0\/(-3). Suppose -1 = i - q. Let s = i - -2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.126, 0.5, -3\/4, -0.1, -4?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j. Let n(v) be the second derivative of -v**3\/6 - v. Let t(o) = 7*n(o) + 2*p(o). Let m(w) = w + 9 - 9. Calculate m(t(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 5. Let o(s) = 7*s**2 - s - 6. Let b be o(0). Let t(q) = 6*q + 9. Determine b*t(h) + 11*x(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3859 + 8a?\nAnswer: -378b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -182 - -116. Let n = a - -83. Calculate the remainder when (-100)\/3*3\/(-2) is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 + 5 = 5*x, 2*x - 6 = -5*g. Suppose g = -2*j + 35 + 17. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.96 - 0.04. Let m = 0.1 + -0.2. Let r = 5 - 5.1. Which is the closest to r? (a) -0.3 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-15 - (-4 + 4 + -4 + -6 + 1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -3*r**5\/40 + 32*r**4 + 129*r**3 - 3520*r. Factor v(y).\nAnswer: -3*y*(y - 258)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8 + 2*o**2 - 6 + 0 + 30*o + 1 - 2. Let l(f) = f**3 + 5*f**2 - 6*f - 1. What is the remainder when w(-20) is divided by l(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:27 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001000 - 100?\nAnswer: 11000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5850229 micrometers?\nAnswer: 0.0005850229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - -262. Suppose 0*q + 2*q - 9 = -h, 5*h - z = 3*q. Solve 2*g - r = 0, 5*g - 7 - h = -3*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, b: 3}. Give prob of sequence bbb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*h - 14, -2*p - 3*h + 30 - 12 = 0. Calculate the smallest common multiple of 148 and p.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 2 - 3\/4*y**4 + 3\/4*y**3 + 3\/20*y**5 + 0*y**2 + 0*y. Factor x(c).\nAnswer: 3*c**2*(c - 3)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:36 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w - 11. Let p(s) = -16*s - 21. Let b(f) = 5*n(f) - 3*p(f). Let a(j) = 4*j. Calculate a(b(x)).\nAnswer: 12*x + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 274835 and 57860.\nAnswer: 1099340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d\/(d**(-2\/5)*d))\/d*d*d)\/d*d)**(-20\/3)\/((d\/(d\/d**(-3\/11)))\/d**8) assuming d is positive.\nAnswer: d**(-475\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1895*t - 6. Suppose 3*f = -17 + 23. Let g be j(f). Suppose g = -s + 5*s + 3*q, -3*q - 12 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -23 + 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/5, -9\/11 in ascending order.\nAnswer: -9\/11, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdg when three letters picked without replacement from {d: 2, j: 3, o: 1, g: 8, z: 1, t: 2}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -0.05334.\nAnswer: -0.15334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (131 - 26) + -100 + -86?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21133 (base 6) to base 14.\nAnswer: -1089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -172*j - 169. Let r be p(-1). Let x(h) be the second derivative of -15*h + 0*h**2 + 0 - 1\/66*h**4 - 2\/33*h**r. Find d such that x(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 14. Suppose 5 = 2*m - d. Put -1, 3, m in increasing order.\nAnswer: -1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1594*v + 1593*v + 240 = 0. What is the highest common divisor of v and 640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-108)\/16)\/((-1)\/2))\/((-5826)\/(-7768)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 4049?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -19. Find the first derivative of 4 + 79*c + 7*c**n - 79*c wrt c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1327070015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -327*q - 156243 + 131391 for q.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m + 6 = 0. Suppose -o + 1 = a - 3*a, 4*a + 5*o = 19. Let q be a\/(2\/2*1). Solve -2 = -u - m, 2*v - q = -u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**6\/90 + 29*m**5\/30 - 224*m**4\/9 + 784*m**3\/9 + 287*m - 2. Suppose a(l) = 0. What is l?\nAnswer: 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(448) + (-1*sqrt(224))\/sqrt(8))*-6)\/(1*(sqrt(4)*-2*-2 - ((sqrt(484) - (1*sqrt(484) + sqrt(484))) + sqrt(484) + sqrt(484) + sqrt(484)))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4498228, 8996456, 13494684, 17992912, 22491140, 26989368?\n\"Answer: 4498228*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113542 is divided by 238?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 4*z + 3. Let q be y(4). What is the second derivative of 0*k + k**q + 3*k + 3*k**3 - 5*k**3 wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (0\/2 + -69). Suppose -q*y = -60*y - 1266. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119087 + 119074. Let d(a) = a + 4*a + 9*a + a**2 - a - 8. Determine d(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043912 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 300 + -300. Let i be o + 24\/8 - -242. Calculate the greatest common divisor of 35 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from nnhnghp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1694 and 316.\nAnswer: 267652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136 is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7147?\nAnswer: 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**2\/13 - 62122*i\/13 + 20708\/13 = 0 for i.\nAnswer: -10354, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5629909*z**4 + 533448*z**2 + z - 4 wrt z?\nAnswer: 135117816*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*3*-1 - (sqrt(475)*3 + sqrt(19) + -3*(2 + sqrt(19))))**2.\nAnswer: -372*sqrt(19) + 18295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, t: 3, p: 1, e: 5, f: 2, v: 4}. What is prob of picking 1 p, 2 l, and 1 t?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-74 + 3)\/(-1 - 1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6 + 5 - 3 - 5*i. What is the remainder when 61 is divided by k(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v + 451 + v - v**3 - 440 - 2*v. Let p(f) = -f - 2. Suppose -c = 2*c - 3*l - 33, 2*l = 0. Determine c*p(u) + 2*j(u).\nAnswer: -2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -103631052.5 rounded to the nearest one million?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3 - 7346\/2448). Suppose -19*k - z = -25*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2976, -3255, -3548, -3861, -4200, -4571, -4980, -5433?\n\"Answer: -z**3 - z**2 - 269*z - 2705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, h: 2}. Give prob of sequence pphp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4 + 20*i**3 - 261*i**2 = 0.\nAnswer: -29, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + o - 1. Let r(p) = 32*p**2 + 20*p + 6. Let q(i) = -38*i**2 - 24*i - 7. Let b(h) = -5*q(h) - 6*r(h). Give 4*b(u) - 5*n(u).\nAnswer: -3*u**2 - 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15091209 - 15091216 + 30182438 - 5*d.\nAnswer: -5*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*k - 90 - 130 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -66750 + 14?\nAnswer: -66734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 72, 121, 160, 183, 184, 157?\n\"Answer: -a**3 + a**2 + 53*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 702049?\nAnswer: 702054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 18*y + 20. Let h(m) be the first derivative of m + 41. Let n(z) = -2*f(z) + 2*h(z). Let n(g) = 0. Calculate g.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 - 2*k**2 + 6*k + 56. Let d be u(0). What is the greatest common factor of d and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2252 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = 6. Sort -0.1, m, 0.2.\nAnswer: -0.1, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:30 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 25, 3*k + 16 = 5*d + 11. Calculate the lowest common multiple of 16 and ((-4)\/(-5))\/((-4)\/k).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/22 and 63\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p**2 - 10*p + 10. Let n(r) = -r**2 + r - 1. Let v = 60 - 25. Let h be (-360)\/v - 2\/(-7). Give h*n(c) - t(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 - 0.8. Let h = 0.1 + 0.1. Let b = -919 + 922. What is the closest to b in h, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/4 + 7*o**3\/6 + 8*o. Find the second derivative of c(b) wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*v - 121, v - 53 = -d - 0*v. Let r = 50 - d. Suppose 2*k - k - 15 = 4*p, -5*k = 5*p. Solve -k*a - r*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 420*q + 3367. Let s be c(-8). Solve -3327 + 3376 = -s*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 7*h - 9. Which is the closest to h? (a) -2\/5 (b) 3\/7 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6552172.\nAnswer: 2, 11, 148913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 0. Let g = d + 5. Let n(v) = -v**3 + 1 + 2*v - 7 + 2 + 3. Determine n(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259 - -100. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39*u - 11*u + 8*u)*(41*u + 66*u + 141*u) as b*u**2 + n + d*u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 39486 = -4*f + 5*y, 4*f - 4*y = -39476. Let a = -6481 - f. What is a rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 - 161634*t**2 + 29391486150*t - 88173003750.\nAnswer: 2*(t - 363675)**2*(t - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 124\/20 - (-1)\/(-5)*1. Suppose 3*n = -h*n + 18. Solve -n*q - 10 = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(36)*3)\/(sqrt(30)\/(sqrt(20)\/sqrt(2)) + 5*sqrt(6)\/sqrt(2)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, l: 2, r: 7}. What is prob of sequence rrv?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 359*-0.04\nAnswer: -14.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4022279229 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 11)*(-1)\/1. Let b(d) = -d**2 + 5*d + 4. Give b(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123300411 and 94846470.\nAnswer: 1233004110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2087 - -2095.3. Which is the third smallest value? (a) -0.2 (b) 3 (c) v (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r + 816 = -62*r. Sort 1, 2, r in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1046254890 divided by -2.\nAnswer: -523127445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmlsmummsmllmfw. What is prob of picking 1 u, 1 s, and 1 l?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3 + 2 + 7*g - 9 - 3 - 3. Suppose -b - 1 = -8. What is the lowest common multiple of v(b) and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52122859 - -3.\nAnswer: -52122856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378762636 and 1036?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-170)\/51*27*1\/15. Let l(v) = -v - 1. Let p(h) = -1. Let b(n) = -l(n) + 3*p(n). Let j be b(5). Sort j, z, -1\/5, -5 in ascending order.\nAnswer: z, -5, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1946.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 256.68 - 244. Let x = -12.081 + q. What is x rounded to two dps?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 1. Let l(t) = 4*t**2 + 5*t - 4. Determine -6*j(w) - l(w).\nAnswer: -4*w**2 + w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -17, -13, -9, -5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 270, 657, 1208, 1929, 2826?\nAnswer: 3905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let t(s) = -3*s**2 + 6*s + 2. Let z(p) = 168*p**2 - 30*p - 10. Let x(b) = 5*t(b) + z(b). Calculate y(x(v)).\nAnswer: -46818*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.8 + 0.8. Let u = y + 7. Let r be (-1 - (-1 - -2))\/3. What is the nearest to r in 1, u, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.04156\nAnswer: 0.004156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*-2 + -4)**2 - ((sqrt(9)\/sqrt(3))**2 + 2)*-4)*-3.\nAnswer: -4464 - 528*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1980 + -2320. What is f rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215496407 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3060 and 510.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -44896, -4, 1, -2, 5, -3 in increasing order.\nAnswer: -44896, -4, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 5*p - 16. Give s(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6555.\nAnswer: 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 15 = 5*i, -4*i = -8*i - 5*w + 12. Suppose -i*l = 0, 6*f - 4*f - 5*l + 6010 = 0. Round f to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4*2*2. Let w = -19 + 33. Let y be (-1 + w\/10)*10. Solve y*r = 3*r + n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 - (-2 - -10 - 6) is divided by 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2220*i + 2. Let w(f) = -6*f. Calculate x(w(j)).\nAnswer: -13320*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197130554 and 4786.\nAnswer: 4786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4 = -5*q. Suppose -2*x - 4*g + 174 = 0, -3*x + 2*g = q*g - 245. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -30.44?\nAnswer: 22.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3144 + 3148. Calculate the lowest common multiple of p and 1628.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -426 - -454. Suppose -43*m = -50*m + s. Solve 0*x = x + 5*r - 17, -3*x + 7 = m*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -20. What is the remainder when a is divided by (3 - (-16)\/(-12))*(-1 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -575000*w. Suppose 3*y + 48 = -y. Let r be s(y). Round r to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 376\/235*(5\/2)\/((-58)\/(-145)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 1, t: 1, l: 4, o: 7}. What is prob of picking 3 l?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243789341 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*c**3 + 2 - 148*c**3 + 28*c**3 + 9*c**2 - 65*c**3 as h*c + b + i*c**2 + s*c**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 17 + 15 - 32.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 396*c - 76 - c**2 + 413*c + 0*c**2 - 774*c as u*c + o + r*c**2 and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*d**2 + 69 - 4*d + 15*d + 21*d**2 - 3*d + 11 to the form i*d + x*d**2 + a and give a.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0*o - o**2 - 1\/8*o**4 + 0*o**5 + 0 - 1\/60*o**6 + 0*o**3. What is the second derivative of t(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 855371 times -359\nAnswer: -307078189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by -33367?\nAnswer: -100\/33367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 95356?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1357*o + 12 - 13 + 1367*o.\nAnswer: 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - 28*r**2 - 26*r + 6. Let f be c(-13). Solve 0 = 3*n - 4*y - f, n + 3*y = -0*n - 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(343) + 3 - sqrt(343)) + sqrt(343)) - sqrt(343)) + 4 + 0 + 1)**2.\nAnswer: 714*sqrt(7) + 3376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -140755932980 - -30?\nAnswer: -140755932950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13009066, -13009064, -13009060, -13009054, -13009046, -13009036, -13009024?\nAnswer: -13009010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.2 - -7.7. Let v = -17 + t. Which is the closest to -3? (a) -3 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*q + 1463 = -403*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-160)\/15)\/4.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - o + 5*o + 14 = 0, -11 = m + 4*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/36)\/((-71)\/(-3195)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88877566727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15534087 - -10965913. Suppose 11 = 3*x - t, -2*x - 2*x = -2*t - 14. Suppose -g = x*g - c. What is g rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46028687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.3 + 1.3. Let m = h - -4. Let p = 0.06 + -0.16. Is p greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u. Suppose -j + 2*j - 115 = u. Suppose 8*g - j = 3*g + 5*o, -3*g - 2*o = -59. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 32*g**2 + 13 + 18*g - 33*g**2 + 32 - 33*g. Determine y(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 0*o**2 + 0*o**6 - 1\/4*o**4 + 2*o + 0*o**5 - 1\/14*o**7 + 0*o**3 + 0. Find the third derivative of d(g) wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*y + 57*y = 51. Calculate the highest common factor of y and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -66*i. Let k(z) = 22*z. Calculate l(k(h)).\nAnswer: -1452*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-39000)\/(-2208) - 8\/92\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 34*i**3 - 132 - 21\/2*i**2 + 30*i**4 - 3*i. Determine d, given that v(d) = 0.\nAnswer: -1, -1\/10, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 + 2*h - 1. Suppose 64 - 12 = 26*b. Let f(m) = m**2 - m - 1. Calculate b*f(r) + t(r).\nAnswer: -2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from nocxcdnw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c + 7568 - 7568. Let y(i) = i. Determine y(o(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2210 divided by -442.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnv. What is prob of picking 1 v and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154 + 152 - 30*q**2 + 12*q**2 to t + a*q + s*q**2 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 580079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-38))\/d*d\/(d**(-30)\/d*d) assuming d is positive.\nAnswer: d**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17122a4 - 1?\nAnswer: 17122a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(-5*-4*sqrt(112))**2.\nAnswer: 134397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0*n**2 + 3*n + 7 + 5\/6*n**3. Suppose -i + 2*i - 3 = 0. Let l(g) = -14*g. What is i*l(s) + 8*y(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and (-5)\/(2 + (-108)\/52).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -18*d - 12. Suppose 5*t = t - 20. Let p(c) = -7*c - 5. Give t*g(m) + 12*p(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -871, -1986, -3539, -5524, -7935?\nAnswer: -10766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -79 - 61*t - 57\/2*t**2. Find the first derivative of j(a) wrt a.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(539) + -2 - sqrt(539)) + 1 + ((sqrt(176) + sqrt(176)*-1)**2 - sqrt(176)).\nAnswer: -4*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34701 - 24022. What are the prime factors of x?\nAnswer: 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2 - 2 - i**2. Suppose 5*g - 5*x = -0*x + 10, 10 = 5*g + 4*x. Let c(v) = -3*v**2 + 7*v**2 - 2*v**g. Give b(c(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by (55\/10 - 1)*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 1679?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f. Let b(j) = j**2 - 664*j - 29. Give m(b(u)).\nAnswer: 5*u**2 - 3320*u - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 4, u: 1, y: 1}. What is prob of picking 1 p and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264713 - 1222752 = -591*b for b.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.29842 less than 5769?\nAnswer: 5764.70158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-247 + 83 + 96)*(1 + 1 - 1)*(-n**4 + 2*n**3 - 2*n**3).\nAnswer: 68*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2592\/1134)\/(21\/(-49))*(-204)\/(-16).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 7503*r + 52607. Let p be m(7). Let z be 2\/(2 + 0) - -107. What is the greatest common divisor of p and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwhb when four letters picked without replacement from {h: 4, j: 5, y: 1, b: 1, w: 1}.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1.2. Let h(b) = -2*b - 13. Let x be h(-6). What is the closest to x in 0.4, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-28)*(-14)\/4. Suppose -n*m + 0*m + 48 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -87 - (335 - 292)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**5\/60 - 11*u**4\/24 - 2*u**2. Let a be n(-10). Suppose -a*m = -15*m + 445. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i + 8*i + 8 - 7*i + 6. Let s(t) = -6*t - 7. Let m(b) = 9*s(b) + 4*w(b). Let c be m(-5). What is the highest common divisor of c and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvkvvkkvvk. Give prob of sequence kkvk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v + n, 17*n - 16*n = 2*v - 14. Solve 0*w = -5*o - w - v, 2*w = -2*o - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6*1\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:34 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-3))\/((-1)\/2*776\/(-582)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10bc56 + -12?\nAnswer: -10bc68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c - 262 - c**2 + 122 - 8*c - 4*c + 140.\nAnswer: -c**2 - 37*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13. Let y = 0.01 - 0.21. Is y >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581724234 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-7)\/(-14)*-2. Let v = -535271\/51970 + -2\/5197. Calculate the common denominator of 0 + m + (-15)\/(900\/(-672)) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.05 + -0.05. Let h(i) = -i**2 + 3*i + 9. Let m be h(4). Let t = 3 + -4. What is the nearest to t in -3, m, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1066\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -183.3, -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 902298 to the power of 1\/2, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0193437 rounded to five dps?\nAnswer: 0.01934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 5*n = 43, 11*t = 14*t + 4*n + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4234 and 292?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**5 + 4*t**5 + 3*t**5 + (5 - 5 - 1 + 4*t**2)*(t**3 + 5*t - 5*t) + (4*t**3 - 6*t**3 + 3*t**3)*(-520*t**2 - 524*t**2 + 1017*t**2).\nAnswer: -21*t**5 - t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l + 3*l - 5*y - 327, 0 = -3*l - l - 8*y - 520 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 10:35 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/5? (a) 5\/4 (b) -2 (c) -2\/7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 622673869 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 + 178 = -2*z. Suppose -77*d + z*d - 120 = 0. What is the remainder when 83 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28602*r**3 - 3*r**2 + 3*r**2 + 22817*r**3.\nAnswer: 51419*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -604193*s - 69474 with respect to s.\nAnswer: -604193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28404333 to the power of 1\/2, to the nearest integer?\nAnswer: 5330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95093778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233.28 rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/18252 and 67\/1872.\nAnswer: 73008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 2*l - 6. Let i be k(5). Suppose -99 = -23*o + 12*o. Let d = i - o. Which is the second smallest value? (a) d (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 9) to base 16.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrororprurroor. Give prob of picking 2 r.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/a)**(1\/5)\/(a**22*a**24) assuming a is positive.\nAnswer: a**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1545230\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1104 (base 6) to base 15\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 12*f**2 - 19*f - 5. Suppose 0 = 10*i + 70 + 60. List the prime factors of m(i).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(96)*-2)\/sqrt(12))\/sqrt(2))\/((sqrt(2420)*1 + sqrt(2420))\/(sqrt(10) - (sqrt(240)\/sqrt(6) + sqrt(10)))).\nAnswer: 12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 + 2*k**2 + 3*k + 2. Let u be m(-1). Solve -u*w = -2*y, -w - 6 = -3*w - 2*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 3170082847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**5\/5 + 7*i**4\/4 + 2*i**3\/3 - 32*i**2 - 96*i - 81. Let x(k) = 0. What is k?\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(3) + -3)*5 + 5 + sqrt(15)\/sqrt(5) + -5).\nAnswer: -45 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d = -90. Calculate the lowest common multiple of d and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 0 + 0*m**4 + 0*m**2 - 4*m + 1\/5*m**5 + 1\/2*m**3. What is the second derivative of p(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3329977.\nAnswer: 7, 17, 27983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -880, -3175, -6864, -11947, -18424, -26295?\nAnswer: -35560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 100?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itt when three letters picked without replacement from {i: 8, t: 5}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1682, 10228, -4 in decreasing order.\nAnswer: 10228, -4, -1682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.7217 minutes in hours?\nAnswer: 8.028695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**2\/2 + 19*t - 116. Let o be y(-7). Calculate the greatest common factor of o and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*j + 287*j + 64930 = 563*j + 648*j for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/1171056 and 85\/528.\nAnswer: 12881616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 - -170. Which is greater: p or -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/9 - 524*k\/9 + 17248\/3 = 0. Calculate k.\nAnswer: 132, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 + ((-39)\/(-3) - 2) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 368297736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 16) in base 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3981451?\nAnswer: 17, 234203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*i = -i - 27*i - 3159 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -47*y**3\/3 + 15*y**2\/2 + 154*y. Let n be ((-10)\/6)\/((-6)\/(-18)). Is a(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -541, -1094, -1661, -2248, -2861?\nAnswer: -3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1423 - -1422.88. Let j = -16\/3 - -92\/15. Put 0.2, m, -1\/2, j in descending order.\nAnswer: j, 0.2, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97483\/342 + -235\/38. Let l = -291 - h. Suppose -3*p + 12 = -0*p. Sort 0.3, l, p, 3 in ascending order.\nAnswer: l, 0.3, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (22 - 7)\/(1\/7). What are the prime factors of (k\/10)\/(6\/56)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4778400 to the nearest ten thousand.\nAnswer: -4780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 314*y**2 - 55131*y - 57025973?\nAnswer: 628*y - 55131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**5 - 632*s**4 + 8164*s**3 + 1327200*s**2 + 17640000*s.\nAnswer: 4*s*(s - 100)**2*(s + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -1.249170773.\nAnswer: -0.949170773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e66 - 0?\nAnswer: e66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3726 and -113\/11178?\nAnswer: 11178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1033422 (base 6) to base 14\nAnswer: 149dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -3. Suppose 4*l + 1 = c*l. List the prime factors of 50\/15 + l\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30477373\/2828 - 43107\/4. Let l = 3\/101 + a. What is the third smallest value in -9\/4, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyyyyyky. Give prob of sequence ky.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*i = 18, 11293*i - 11290*i = -8*x + 3*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 1\/3*m**3 - m + 6 - 1\/2*m**2. Let q be y(3). Solve q*f - 2*c - 3*c + 5 = 0, -2*c = 5*f + 33 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4812*y - 234555 = -697*y for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**2 - 13*c**2 - 3*c**2 + 2246*c**3 + 8*c**2 + 562*c**3 + 185 wrt c.\nAnswer: 8424*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 5:04 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1543, -0.2, 4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 20*k - 89. Calculate c(10).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 36 = 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + 3 + -5 + -19 + 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494962.5 centuries to millennia.\nAnswer: 49496.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*n + 401*n**3 - 30*n + 124*n - 27*n.\nAnswer: 401*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3246*u**2 - 971*u**2 + 4 - 459*u**2.\nAnswer: -4676*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 - 9 = -2*d. What are the prime factors of (d\/14)\/((-2)\/(-14))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15708 = -1062*k - 12966 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 4*u**2 + 5962*u**3 + u**2.\nAnswer: 5962*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 10 + 4 - (-2 + -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + f - 199 = 0, 3*o - 3*f = -6*f - 294. Let m(v) = 23*v. Let s be m(-2). Let y = s - o. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 50 = -4*m. Suppose -3*y + 4 = -m. What is the second smallest value in -5, 1, y, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 11. Let x(w) = w**2 - w + 1959. Let p be x(0). Is p\/12 - 2\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 6*o**2 - 2*o + 15. Let b be r(-5). What is the tens digit of (-1 + -2)*(5868\/(-27) + b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10288, -10309, -10324, -10339, -10360, -10393, -10444, -10519?\n\"Answer: -v**3 + 9*v**2 - 41*v - 10255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.773 - -0.373. Let c = -1.1 + 1.06. Let s = 7.96 - c. Put v, 2, 1\/10, s in increasing order.\nAnswer: v, 1\/10, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2007 is divided by 251.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82 and -47.953.\nAnswer: 3932.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*x, -x - 3*x - 4*k = 0. Is x < 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1497496 and 3872.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6*f = -1170. Let k = -82 + f. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 36*d + 0*d**2 - 1 + 36*d - d**4 + d**2 to q*d**2 + p*d**4 + h*d**3 + z*d + g and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11606 + -0.01606. What is the third biggest value in -0.3, 1.4, -0.2, l, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 1584?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -23 - (4 + 2 + -3). Let c = p - -51. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 5519*c = 5523*c + 32, 0 = i + 4*c - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40, 2\/13, 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 0, -13, -30?\n\"Answer: -2*w**2 - 3*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.16 and 441.\nAnswer: 952.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3034071?\nAnswer: 3, 103, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5285 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g - 1 + 2*g - 8*g**2 - 3 + g**3 + 2*g. Let l be k(4). Let y be (178 - 3)\/((-2)\/l). Round y to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405042 divided by 722?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/60 - 108*s**2 - 3*s. Let r(b) = -b + 2. Let n(v) = 32*v - 72. Let x(g) = -2*n(g) - 72*r(g). Calculate x(z(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 1 - 1)*(1 - 2*a**2 - 1)*(-9*a**2 + 64 - 64).\nAnswer: -54*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.5 (c) 0 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10839 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b**5\/5 + 1916*b**4\/5 - 83352*b**3\/5 + 539904*b**2\/5 - 323456*b\/5 = 0.\nAnswer: 0, 2\/3, 7, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161141 times 29?\nAnswer: -33673089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1)*z)\/z)**(-1\/8)*z**4*z\/(((z**4\/z)\/z)\/z)*(((z\/(z**(-2)\/z))\/z)\/z*z*z**(5\/6)*z)\/(z**(-1\/4)\/z)**33 assuming z is positive.\nAnswer: z**(299\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 17, n: 3}. What is prob of picking 1 n and 2 k?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 14*x + 51. Let f be r(-8). Let b = -601 + 596. Sort b, -37, -3, f in descending order.\nAnswer: f, -3, b, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6))**(1\/49) assuming d is positive.\nAnswer: d**(-1\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:18 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2463110 and 17030?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 24666.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54*h**4 + 17150*h**2 - 17150*h**2 + (-h - 2*h + h)*(h**3 + h**3 - 4*h**3))*(1 - 2 - 2) in the form w*h + g*h**4 + a*h**3 + u*h**2 + o and give g.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(4\/7) - ((-14652)\/(-8954) + (-2594)\/308)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 666 and 216?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 3*w + w)*(-1 + 3 - 4 - 2*w)*(2*w - 3*w + 2*w) to the form y + l*w**2 + n*w + v*w**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 36 = -2*u + 2, 41*t - 34*t + 109 = -5*u for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4860 - 4861. Which is the closest to w? (a) 4 (b) 2\/7 (c) 1\/5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9539 at most -9532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {e: 1, k: 4, o: 2}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 + 90988*t\/5 - 1034852018\/5.\nAnswer: -2*(t - 22747)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 4, 58?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/336 and -227\/10920.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, j: 3, c: 2, x: 2, b: 3, g: 1}. What is prob of picking 1 j, 1 w, and 1 c?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2365*y + 43033 = -39254 - 95088 for y.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2598432 millilitres?\nAnswer: 0.0002598432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**5 + 22*m**4 + 4*m**2 + 17.\nAnswer: -240*m**2 + 528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 35?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 - 3*q**3 + 6*q**2 + 5 - 6*q**2 + q to n + r*q**2 + l*q + u*q**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 10:02 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - 24*x + 13. Let l(y) = 199*y**2 + 23*y + 3*y - 203*y**2 - 19 + 9*y. Let s(d) = 5*l(d) + 7*w(d). Give s(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -24\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 16*b**2 + 5*b**3 + 6.\nAnswer: 5*b**3 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 6*j - 12*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.943, -15.4, -5, 8\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - 58 - (0 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34488 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*x + 10 = -7, 2*z - 23 = 5*x. Which is the smallest value? (a) 0.4 (b) 5 (c) -0.4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000240602 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 + 547655*t - 29576286 = 0. Calculate t.\nAnswer: -547709, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.08 + 10.08. What is the biggest value in w, 1.5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*n**3 - 262*n**3 + 71*n**3 + 1 + 95*n**3 + 0.\nAnswer: -7*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -7*f**3\/9 + 41*f**2\/3 + 8*f - 271. Determine x so that v(x) = 0.\nAnswer: -2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1528 = -53*z - 138*z. Which is bigger: -94\/13 or z?\nAnswer: -94\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -258 - -252. What is the units digit of (-1718)\/2*1\/(x\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 85?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.7171007\nAnswer: 0.7171007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.5. Which is the closest to 1? (a) 0.2 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(5\/((-5)\/2)). Let t = -151 - -153. Suppose 8*l + 15 = 11*l. Solve -t*i + 14 = -l*r, 2 = -2*r + i - k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -678496\nAnswer: -135699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**5\/8 + 4665*t**4\/8 - 50547*t**3 + 712881*t**2 - 1444770*t - 12162150 = 0.\nAnswer: -1638, -3, 10, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -346 * 5.\nAnswer: -1730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 446 and 32558.\nAnswer: 32558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r - 1. Let p(m) = -1040*m**3 + 4180*m**2 - 4195*m + 5. Let h(o) = -15*f(o) + p(o). Suppose h(a) = 0. Calculate a.\nAnswer: 1\/208, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 9*c + 1. Let z be i(7). Suppose -5*q + 40 = z. Solve -5 - 10 = q*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 25*o - 105. Let v be u(-28). Suppose 3*q - 4*q = 0, 4*g = -4*q - 88. Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 6 = 5*z. Solve -5 = 2*u - z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77632559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 305 - -1378b?\nAnswer: 13a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/53 - -118\/159. Let b = 41.797 - -1.353. Let d = 43.1 - b. Sort -5, d, q, 1 in increasing order.\nAnswer: -5, d, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -3586\nAnswer: -3\/1793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**6\/120 - 3*n**5\/80 + n**3\/6 + 76*n - 4. Factor o(h).\nAnswer: -h*(h - 1)*(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x + 15. Let j be k(-3). Let l(b) = b**2 - 182*b**3 + 61*b**j + 64*b**3 + 61*b**3. Let p(d) = 2*d - 15. Let v be p(7). Calculate l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 - 4*i - 4. Let z be p(-5). Suppose -z = -0*q - 4*q. Solve 3*c - q + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1417, -5602, -12605, -22450, -35161, -50762, -69277?\nAnswer: -90730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 49*v**2 + 7. Give w(49).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5 - 18*c**4 + 54*c**3 - 46*c**2 - 48*c + 72 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.5, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 190\/8 + 6\/(-8). Suppose 3*n + 4*q = v, -q = 1 - 0. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-91490)\/(-8))\/((-47277)\/(-816) + -58). Round u to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 3 + 3 + (5 - 2 - 5)*(-6*l + 2*l + 3*l) + (0*l + 2*l - 3*l)*(-3 + 0 + 2) - 3*l - l + 2*l - 3*l - 3*l + l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-130)\/(-50))\/(1\/5). Let z be -15 + i + 8\/2. Solve -3*y + 3 = -4*s - 0*s, z*y - 2 = -s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -157, -83, 6, 1, -3 in decreasing order.\nAnswer: 6, 3, 1, -3, -83, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*z - 172. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/(6\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/45)\/(((-14)\/(-3))\/(-1))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 38537859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31458107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451156.\nAnswer: 2, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/15)\/(33\/(-55))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 2*h - 168 = 0. Let t be (-243)\/66 - 21\/h. Which is greater: 2\/11 or t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 700296936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -752867?\nAnswer: 752867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1.803\nAnswer: -0.9015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 - 96.1. Let u = 1923 + -1923. What is the closest to l in u, 1\/5, -3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*m - 5 = 0, 27*z + m = 31*z + 2. Which is the second biggest value? (a) 9 (b) z (c) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136 - -161. Suppose -113756 = -v*q - 39681. Is q 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 {u: 2, t: 2, b: 1, l: 4}. Give prob of sequence lt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 8:57 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5697 and 2017332?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x*x*x*x**(1\/2)*x*x*x**27*x*(x**(-17)*x)**14 assuming x is positive.\nAnswer: x**(-377\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - s + 8 = 0, 2*s - 25 = -3*k + 6*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10851 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - 1252?\nAnswer: -126a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 3*v**2 + 2*v - 1. Let g be u(-2). Let w = -14 + 7. Let l = w - -61\/9. Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 336023506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104361786?\nAnswer: 2, 3, 1283, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.16431ns to milliseconds.\nAnswer: 0.00007516431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -24*o - 1. Suppose 3*r = 3*t + 9, 4*r - 3 = -4*t + 1. Suppose b = 3*b + r. Calculate the remainder when f(b) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/32*-28*26\/(-182).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + 5 - (-437 - -411) - (0 - 3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -0.393.\nAnswer: -0.03537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h + 10 = 0. Let k(g) = -12*g**3 + 2*g**2 - g + 1 + g**3 + 14*g**3. Determine k(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 29717308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5556 = -88*h + 82*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**3*g - f**2*g*v - 1134*f*g*v - f*g - 27*v wrt f.\nAnswer: 36*f*g - 2*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*x + 7040 = -69*x. Suppose -3*z = 5*z - x. What is the highest common divisor of 40 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2749799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/6)\/(120\/80)*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j - 3*h, -5*j - 4*h - 22 = 0. What is the remainder when (4\/8 + -3)\/(3\/(-78)) is divided by (-340)\/(-15)*j\/(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -180 + 195 - (15 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 20*w**3 + 186*w**2 - 186*w**2 - 3*w + 2*w**4 + w to the form d*w**3 + m*w**2 + s*w + v*w**4 + n and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -190334312 + 0.101585?\nAnswer: -190334311.898415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.86 + -0.14. Let n = -0.18 - 0.14. Let h = -0.82 - n. What is the second biggest value in h, 4, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 21. Suppose v*j - 4 = 4. Put j, -1, 6 in descending order.\nAnswer: 6, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from vvytvvtty.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3228218*l**3*n - l**3 + 215131 wrt n?\nAnswer: -3228218*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6225858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.09 + 0.09. Let u = 0.9 + -0.4. Let k = 1 - u. Sort -3\/5, z, k in descending order.\nAnswer: k, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 84 and -28?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 7128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -31ccc9 (base 16) in base 5?\nAnswer: -1313414224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 313146 and 626292?\nAnswer: 626292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 166?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from eueufzuefbf.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 2*h**2 - h - 1. Let v be t(-1). Let x be 3*v*(-2)\/3. Let w = 1 - 1. Which is the nearest to w? (a) 4 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4675540 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 297971 = -3*c, 2*c - 5*n - 83011 - 115643 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278594946 by -1921.\nAnswer: 145026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by 1.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 2 - (0 - 2). Suppose -k + s*k - 2 = 0. What is the units digit of -3 - (-38 + 1 + k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 14. Let d(b) = 3*b + 67. Let l(c) = 2*d(c) - 10*y(c). Determine l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 greater than 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 4*d**2 - 3*d + 5. Let m(v) = -3*v**2 + 2*v + 1. Let r be m(-2). Let a = -8 - r. Let h = -3 + a. What is u(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4358064535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/36 + 14\/3. Suppose 3*a = n + 248, -311 - 5 = -b*a + 5*n. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.50794 nanometers?\nAnswer: 0.00000000000350794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {v: 1, b: 1, l: 2, i: 6, u: 2, x: 6}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000488 rounded to five dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 divided by 10681?\nAnswer: 645\/10681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 876*q**2\/7 - 114610878*q\/7 + 317756135736\/7.\nAnswer: 2*(q - 4227)**2*(q + 8892)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4 - 2012*c**3 - 2089620*c**2 - 466794900*c - 32269536000 = 0.\nAnswer: -195, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13002280 is divided by 763?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-40))\/(3\/15))\/(-6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2529 - 1405. What is t rounded to the nearest ten?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, h: 4, d: 1}. What is prob of sequence xxdh?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 7. Let i = 2 - 1. What is the smallest common multiple of j(-8) and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/(-2))\/((-7 - -11)*(-8)\/(-64)). Let j(d) = d**2 - 23*d - 74. Calculate j(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 240, 15.\nAnswer: -1, 5, 15, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1857644, 1857648, 1857648, 1857644, 1857636, 1857624, 1857608?\nAnswer: 1857588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/5 or -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 7*x + 12. Suppose x*g - 23 = -2. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 21. Give q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d = 4*x - 34, -8 = x + 5*d. Suppose -4*a + 3*a - x*a**2 + 37*a**3 - 53*a**3 - a**2 = 0. What is a?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2590944 by 68.\nAnswer: 647736\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:12 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 68153187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 1)**2*-2 + sqrt(448) + 1 + sqrt(448) + -5 + 5*(6*(sqrt(448) + sqrt(448)*2))**2.\nAnswer: -16*sqrt(7) + 724858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -244675 not equal to -38414031\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -245\/62 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*z - 20 = 0, -3*h + 12 = -249*z + 254*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (6 + -14 + 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1735 and -0.6.\nAnswer: 1734.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 + 8 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**6\/480 + j**5\/60 - 5*j**4\/96 + j**3\/12 - 6*j**2. Factor b(f).\nAnswer: -(f - 2)*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*r**3 + 205*r**3 + 228*r**3 - 430*r**3.\nAnswer: 210*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27922.28 years to millennia.\nAnswer: 27.92228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -16\/10209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - -5) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -42. Let v be 22\/g + 1 - (-4340)\/182. Let x be (3\/21)\/(v\/(-28)). Which is the nearest to 4? (a) 2\/15 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2487*i + 7461. Calculate g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 7, h: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 78*k - 623. Let g be q(8). Let x(w) = 25*w**3 + w. Calculate x(g).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12914 is divided by 205.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x + 17. Let r(l) = 2*l + 3. Let m(d) = 2*d + 2. Let c(t) = 4*m(t) - 3*r(t). Let k(j) = a(j) - 2*c(j). What is k(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2148195, 2148200, 2148205, 2148210, 2148215, 2148220?\n\"Answer: 5*m + 2148190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f + 44. Let w be p(5). Let u be (-6 - (-42)\/w)\/((-12)\/99). What is the greatest common factor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - (2 - 4))*(-5)\/4. Solve -15 + i = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 12) + -9 + (6 - (-2 + -1)) + 57?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12953.67 hours to milliseconds.\nAnswer: 46633212000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -12823\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51529, 206105, 463735, 824419, 1288157, 1854949?\n\"Answer: 51527*f**2 - 5*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 2*a + 1. Let o be x(-7). Suppose -4*t + 15 + 1 = 0, -2*l = t + o. Let d = l - -28. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4197\/28 + 150. Is n less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 9. Suppose 3*c = -2*i - 2*i, m*i = c. Find the third derivative of i*u**4 + 3*u**2 + 8*u**4 - 12*u**2 wrt u.\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 741*z**2 + 104*z - 2260. Is d(27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -2.95. Let g = i + 5. Let w = 12 - g. Sort -1, -1\/3, w.\nAnswer: -1, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 53. Suppose -4*o = 15 + 1, 3*y + o = -i. Put y, -5, 5 in decreasing order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706739 smaller than 706740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4306 is divided by 4240?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y. What is the derivative of y + 1 - 4 + 8*b - 6*b wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + g - 4. Let k be w(-4). Suppose 6*f + 140 = -k*f. What is the hundreds digit of 1234\/7 + f\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**3\/3 + 6*i**2 + 14*i + 2. Let w be t(12). Calculate the highest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u - 0. Let b = -4 - 0. Let k(p) = p + 9. Let r be k(b). Solve 3*c + r*s + 4 = 0, 5*c + 6 + 7 = -u*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 16*s**4 + 183364*s**3 - 137568*s**2 - 412604*s - 91688 = 0.\nAnswer: -11461, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - t + (-t - t + 0*t)*(3 - 5 + 6) to w + p*t and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f + 28. Give v(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3252, 6551, 9850, 13149, 16448?\n\"Answer: 3299*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let m(b) = -b. Let c(r) be the first derivative of r**2\/2 + 7*r + 16. Let s = -243 + 237. Let l be c(s). What is l*m(q) + 4*t(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -df - -4a30?\nAnswer: 4951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.89*0.1\nAnswer: -0.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvffffvdfddfdf. Give prob of picking 1 f and 3 d.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-20)*(4 - 41) and 109\/550.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1819 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12527 - -19201. What are the prime factors of d?\nAnswer: 2, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beb when three letters picked without replacement from eeeddbbb.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.4 - -5.73. Let n = -0.3 + k. What is the nearest to 0 in n, -3, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from {g: 7, b: 2, n: 1, s: 4}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 5*a**4\/24 - 11*a**3\/3 - 26*a**2. What is the units digit of q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (5 + sqrt(108)*1)*6*-3)**2*5*-3.\nAnswer: 1769040*sqrt(3) + 3894570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7766336.\nAnswer: 2, 121349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 3*m**2 + 5*m - 2023. Let t(c) = -5*c**3 - 16*c**2 - 25*c + 10114. Give 3*t(d) + 16*x(d).\nAnswer: d**3 + 5*d - 2026","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 87. Let h be (-34)\/100 + 1\/2. Let y = h - -6\/25. Which is the closest to y? (a) 2 (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*1*sqrt(64))\/(sqrt(160)\/sqrt(5)).\nAnswer: -2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220 + -222?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -715 + 1414. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*i - 6*i**4 - 5*i**5 - 5*i**3 - 11*i**3 + 59*i**2 - 54 + i**2 + 8*i**5 - 14*i**3 = 0. What is i?\nAnswer: -3, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/6 + 12\/(-8). Suppose -c + q = -d, 4*c + 0*d - 18 = 2*d. Suppose 0 = 2*p + y - 26, c*y = -5*p + 4*y + 63. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 175 = 5*j, 5*j - 28 = -z - 93. Let t be -1 - (z\/5 - -4). Suppose -t*q = -14 - 7. Let h(u) = -u - 4. Give h(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from isrcj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 3*g**2. Calculate the lowest common multiple of y(3) and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0573 * -10433\nAnswer: -597.8109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252984 (base 12) to base 6.\nAnswer: 20554244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39 + 42 - 57*r**4 - 49 wrt r.\nAnswer: -228*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 273*(-5)\/((-90)\/(-6)). Let m = j + 91. Solve 0*i + 3*i = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544389426.\nAnswer: 2, 3, 7, 397, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2 - 1289259*w = 0?\nAnswer: -429753, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11169, -11168, -11165, -11160, -11153?\nAnswer: -11144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/801 and 65\/99.\nAnswer: 8811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -827 - -827.4. What is the second smallest value in q, 0.2, -5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/12 - 68\/(-16). Let f be (-1)\/(3*(b + (-100)\/24)). Suppose -8*g - 7 = -4*x - 9*g, -4*g = 3*x - f. Solve -2*a + 0*a = x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 95. Let n = -47 + d. Sort n, 5, -3\/5, 2\/3.\nAnswer: n, -3\/5, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 12 = 4*n, 5*n = 4*l + 81 - 96 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from wggwwgughugugighu.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16020914 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1535 - -340103?\nAnswer: 335235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -763 - 2. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3787246 divided by -15\nAnswer: 3787246\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 473.\nAnswer: 19\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16)\/(w*w*w\/(w*w**(-2)\/w))*(w**(1\/3)\/w*w)**(-2\/35) assuming w is positive.\nAnswer: w**(-2207\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -5. Let k = 31 - a. Calculate the remainder when k is divided by (7 + 30\/(-12))\/(6\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -12*((-1806)\/24)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2765, -5345, -7953, -10589?\n\"Answer: -14*c**2 - 2538*c - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 o, and 1 i when four letters picked without replacement from {o: 5, i: 2, g: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4021 by -475.\nAnswer: 4021\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.065828 + -0.0624. Round w to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -15*x + 660. Suppose 577 = 18*c + x. Calculate the remainder when 316 is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671677 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 205*t. Let h(s) = 9*s + 1. Give z(h(q)).\nAnswer: 1845*q + 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1407 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156959.\nAnswer: 11, 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*q*v*x + 14639*q - v**2*x + v**2 + 3*v*x**2 - 57*v*x wrt x.\nAnswer: 2*q*v - v**2 + 6*v*x - 57*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 27*o - 16. Is z(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:48 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcccvcvicccvvic. Give prob of sequence cc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 minutes after 1:10 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort 305, -2, -1\/47 in descending order.\nAnswer: 305, -1\/47, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-24))\/x)\/(x*x*x*((x\/(x**(-14)\/x))\/x)\/x) assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*((w*w\/((w**(3\/7)*w)\/w))\/w)\/w)\/w)\/w)\/(w*w\/(w**6*w)))**27*(w**9*(w*w**(-4))\/w)**44 assuming w is positive.\nAnswer: w**(2404\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (60 + 3 - (-8 + (-33 - -38))) + 10\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 182764000 to the nearest 1000000.\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/7, 1, -106?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*z**4 - 187*z**2 + 3*z + 240415 wrt z?\nAnswer: -12*z**3 - 374*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001007795791 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 30 = 4*g, -3*g + 16 + 9 = -5*n. Calculate the common denominator of 113\/14 and n + (-1)\/12*(-4984)\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*t = 4253 + 1204, 5*i = 4*t - 5464. Let a be (2 - -1)\/(-3)*i. Let v be 4\/(-14) + a\/49. What is the greatest common divisor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151775 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 1 + -1 - 4) + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37.9, -207, -4 in descending order.\nAnswer: 37.9, -4, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2242.\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 609 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*k - 85*k - 24. Let p(f) = -f**3 + 2*f**2 - 2*f - 2. Let s be p(2). Let r be (-14)\/s - (-2)\/3. Sort r, k, -3.\nAnswer: k, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*m + 5*p, 6 = -6*p + 3*p. Let r(f) = 3*f**2 - 23*f - 160. Let v be r(-8). What is the highest common factor of v and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 21595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2*x. Let t = 32 - 28. Let q be 1 - (7 + -3 - t). Let c(w) = -w**2 - w. Let m(v) = q*b(v) + 2*c(v). Let o(u) = 12*u. Give o(m(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 13. Let g = i - -13. Let j = -51 + 52. Which is the closest to 1? (a) j (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9684.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 2. What is the units digit of u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65050908 by -6.\nAnswer: 10841818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w = 28. Suppose -2*x + w*x = 310. What is x rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 2, o: 5, e: 1, x: 3}. What is prob of sequence oex?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1878 = 3*i + 4*w - 7541, -3*w + 12554 = 4*i. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -26*(-3)\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3 = -h + 2, i + 4*h + 4 = 0. Suppose -5*r + 6*r + 2*s - 1 = i, -3*s = 3*r - 6. Solve -4*k = 0, z + 5*k = -r + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7073 is divided by 1693.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2. Let f(h) = -h**4 - 13 + 4*h**2 + 22 + 9*h**4 + 16*h**4. Let b(u) = 4*a(u) - f(u). What is the derivative of b(k) wrt k?\nAnswer: -96*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -674f (base 16) to base 9\nAnswer: -40245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**13\/(g\/(g**(11\/6)*g*g*g))*((g**29\/g)\/g)\/(g\/(g**(-13)*g)) assuming g is positive.\nAnswer: g**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78275 - -371149. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 6632016?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b*c**2*v + 2*b*c*l**2 + 9*b*c*l*v - 4*b*c*v + 11*b*l**2*v - 2*b*l*v - 49*c**2*l**2 - 2*c**2*l - 2*v wrt l?\nAnswer: 4*b*c + 22*b*v - 98*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 9*i - 5*u + 3134, -i - 3089 = 4*u. Let j = 6702 + i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 179*r - 16. Let k(c) = 718*c - 71. Determine -9*b(j) + 2*k(j).\nAnswer: -175*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 0 + 7*m**3 - 2 to c*m**3 + y + z*m**2 + h*m and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s = -77*s + 32 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 5*a = 16. Suppose 119 = 15*v + a*v. Solve 17 = -2*q + 2*t - v*t, 3*q - 22 = 2*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3139 + -2794. Calculate the remainder when a is divided by 89.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 90*f**2 + 176*f + 151. Let t be q(88). Is 599\/4 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2. Let t be ((-6)\/4)\/(36\/(-48)). Let l(x) = x**2 + 5*x - 3. Let s be l(-6). Let p(k) = s + t - 5 + k. Give p(m(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -3.03. Let n = 1512482.999996 + -1512480. Let i = h + n. Round i to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12*(3 + 20\/(-8)). Suppose 4*i = t + 10. Which is the nearest to -1? (a) i (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -16, 56, 5, 13 in descending order.\nAnswer: 56, 13, 5, 0, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4515, 4517, 4519, 4521, 4523?\nAnswer: 4525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 1, q: 2, w: 3, x: 8, o: 4}. What is prob of sequence et?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.051 - 0.051. Which is the closest to u? (a) 1 (b) -4\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rorccrcr. Give prob of sequence ccr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 18*n + 5. Let p be j(-13). Suppose 115 = 3*s - i, 0 = 2*s - 4*i + 120 - 180. Calculate the highest common divisor of p and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjrrjrrrr. What is prob of sequence rrjr?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 217.\nAnswer: -4\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64 + -2?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4221032009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.129163ns in weeks?\nAnswer: 0.0000000000004995521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 8. Suppose -4*f - 16 = 0, -2*v + 2*f = 7*f + 10. Suppose v - 17 = -4*j. Suppose j*o - h - 2 = 0, -3*h - 2 = -3*o + 4. Calculate c(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 7*o = 2439. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14578 + -9403. Calculate the greatest common factor of 207 and m.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m - 2*m + 4*m - 2*m - 1 + 1 - 3*m + 4*m - 2*m + 3 + m - 3 + (-7 + 3 + 2)*(-2*m + 2*m - m) - m - m + 3*m - 2*m - 2*m + 2*m - 2 + 2 - 3*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 6*c - 5. Suppose c*o - 20 = 4*y - 2*y, 4 = 5*y + o. Solve y = -2*n + 4*n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -68893\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 1 + 4 + 8 + 4. Let o be q(5). Suppose 15900 = -o*b + 23*b. Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + -959. Let l = w + 1806. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 21*o - 22. Let r be m(9). Suppose 3*z = 4*y - 6*y + 2344015, y + r*z - 1172025 = 0. Round y to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/4 or -29?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*j**3 - 10*j**2 + 2*j - 18*j**3 + 0*j - j as d*j**3 + x + i*j + n*j**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2504? (a) 0.58 (b) 4 (c) -3 (d) -0.2 (e) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075364 rounded to 5 decimal places?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 462683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b - 1. Let i be (-9)\/b - (-1)\/(-2). Is 1\/i + (-1046)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1342 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 5*u - 9. Suppose 2*q - 3 = -2*h + 1, 0 = -4*h - q + 23. Let x be y(h). Solve 21 = -4*l + x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 113459.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 361*t + 5366. Calculate r(16).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.0052, 1.39, -0.28?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - 0?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33966897*d**2 + 11916311*d - 3 wrt d?\nAnswer: -67933794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -111010110111000 (base 2) to base 13\nAnswer: -10942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 188\/517 - 912\/88\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**7\/525 + 7*g**6\/300 - g**5\/10 + 3*g**4\/20 - 14*g**2. Solve m(y) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34653*v**3 - 13*v**2 + 4*v**2 + 7*v**2 + 32607*v**3 + 2*v**2.\nAnswer: -2046*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -800, -1688, -2604, -3554, -4544, -5580?\nAnswer: -6668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1964, -1972, -1992, -2030, -2092, -2184, -2312?\n\"Answer: -l**3 - l - 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68425?\nAnswer: 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 12) in base 16?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51807983?\nAnswer: 23, 227, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -2\/13, 1\/4, 2, 4, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/8))**(-40) assuming m is positive.\nAnswer: m**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppphphhhphphhjhphpph. Give prob of picking 2 p.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -155181?\nAnswer: 155177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102.2 + -139. Let g = i + 34. Let x = 3 + g. Which is the second biggest value? (a) 1.2 (b) x (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 18987424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*a - 49 = -2*a, h + a = 3. Calculate the highest common divisor of 32 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*y - 8*y**2 - 3*y**2 + 2662 + 108*y + 9*y**2.\nAnswer: -2*y**2 + 2662","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8177205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/(-4) + (-6 - 18\/(-4)). Suppose 35 = u*j - 30. Solve -j*n = 13 - 28 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 205.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.552999585 - -0.553. Round b to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 370680?\nAnswer: 4818840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35111831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 4075824 - 4075824 + 6*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 11:53 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -89, -187, -335, -539?\n\"Answer: -n**3 - 16*n**2 + n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -525035*q - 2100141. What is l(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28*2013.54\nAnswer: 56379.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 259552, 259046, 258538, 258028, 257516, 257002?\n\"Answer: -v**2 - 503*v + 260056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 + -411\/4. Let g be ((-2)\/(-4))\/(70\/(-21778)). Let p = 1063\/7 + g. Find the common denominator of h and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - 5.9. Let c(f) = -2*f - 1. Let j be c(-2). What is the smallest value in 2, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 m when four letters picked without replacement from {m: 5, x: 3, n: 7, g: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -66 + 18*d + 25*d + 9*d. Let h(z) = 301*z - 1197. Let j be h(4). What are the prime factors of x(j)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = -14. Let m be 2\/h - (-1714)\/18. Calculate the greatest common factor of m and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/5)*k**(-16) assuming k is positive.\nAnswer: k**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -476.04.\nAnswer: 475.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -2*p**3\/3 - 3*p**2 + 8*p + 32. What is c in v(c) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - v + 7 = 0, -18*v = -2*i - 16*v - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 4*x - 4*x)*(-7 + 5*x + 7 + (5 - 1 + 3)*(3*x - 10 + 10)) to the form d + i*x**2 + j*x and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - a. Let b be j(-3). Suppose 3*k = 2*k + b. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -77. Let v(l) = -l**2 - 15*l - 36. Let x be v(o). Which is the biggest value? (a) 0.9 (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -62 - -18) + (11 - 1) - 7\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 40, 66, 92, 118, 144?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x**2 - 27*x + 4. Calculate j(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124403\/7 - 17725. Let h = 47 - x. What is the smallest value in -3, -0.4, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 11. Suppose 191*q - 185*q = 120. Suppose q = -5*l, 3*l - 4 = -4*t + 2*t. Calculate c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 36*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 13. Let g(k) = 3*k + 26. What is -3*g(j) + 5*p(j)?\nAnswer: j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72824 is divided by 12127.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -939\/7570?\nAnswer: -939\/7570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*u**4 + 859*u**3 - 6*u**2 - 83492579*u?\nAnswer: 264*u**2 + 5154*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199*k*o*u**2 - 2*k*o*u - 127*k*o wrt u?\nAnswer: -398*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 32*r\/9 - 26\/3.\nAnswer: -2*(r + 3)*(r + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -124\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -445, 198, 1921, 5264, 10767?\n\"Answer: 90*m**3 + 13*m - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1254823928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1 + sqrt(10)\/sqrt(2) + 3.\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21\/4 + -9\/2. Let q = -19.9 - -20. Which is the third smallest value? (a) 4 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4300 = -y - 5*v, -4*y + v + 8564 = 0. Suppose 0*z - 2*z = -y. Round z to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133252 is divided by 19036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*s = 35 + 208 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10199 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/(-2) + -2 + (2 - -9) + -13. Put 2, -2, n, 1 in descending order.\nAnswer: n, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-12)\/4 + 5. Suppose 3*g + a*g - 2*y - 32 = 0, -1 = y. Suppose -r = 4*p - g*p - 11, 30 = 2*r - 2*p. Calculate the remainder when r is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-11\/4))\/c**(-8\/5) assuming c is positive.\nAnswer: c**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**19\/((d\/d**(-15))\/(d\/d**(-1\/4))) assuming d is positive.\nAnswer: d**(-211\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/9832675 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043242 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-3 - 11 - (-33 + 50 + -35)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 - -237. Suppose v*w - w + 2*r + 5 = 0, -r = -2*w - 1. Sort 2, w, -2, -21 in descending order.\nAnswer: 2, w, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14833280 and 76?\nAnswer: 281832320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13790*o - 13790*o + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40562935, 40562932, 40562929?\nAnswer: 40562926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20120010212 + -12?\nAnswer: -20120011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l**3*l)\/l)\/l*l*(l\/(l*l**(-4)))\/l)\/(l\/(l*l\/l**6)*l\/(l\/l**6)*l))\/((l*l**0\/l)\/(l*l*l**(-1\/2))*l\/l**6*l**(-2\/7)) assuming l is positive.\nAnswer: l**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.5 - -9.1. What is the nearest to 0 in u, -11, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6059.616 tonnes?\nAnswer: 6059616000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcown. Give prob of picking 1 o and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 13*u**2 + 306*u - 6359. What is a(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2213*1.82\nAnswer: -0.402766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 11 - 81. Let z = h + 11. What is the units digit of (1 - 5)*21\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 3*s - 23 + 33. What are the prime factors of v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 + 0.06. Let g = 21 - 25. Let s be 12\/(-45) + (-2)\/(-3). Which is the third smallest value? (a) g (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176.289 - 176. Let p = 45 + -44.979. Let d = n + p. Round d to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 17864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 8*r + 1 + 0 - 3. Suppose 8*x - 108 = 2*x. What is the smallest common multiple of q(6) and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*x**2 + 4\/3*x + 1.\nAnswer: (x + 1)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -7084 (c) -1\/100 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 8*r**2 - 14*r + 60. Let g be u(-10). Suppose d + 3 = 2. Sort 4, d, g.\nAnswer: d, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1425595 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 1. Give h(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -15, -1\/3, 0.3, 4\/25?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = 15. Let v(n) be the third derivative of -n**4\/6 + 10*n**3\/3 - 5*n**2 - 1. Let h(l) = 2*l - 9. Let f(s) = 5*h(s) + 2*v(s). What is f(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 896287?\nAnswer: 3585148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*b - 27383 + 27115 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, 0.\nAnswer: -7, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + (-720)\/160*(1 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 11*b + 11. Let i(c) = c**3 + 4*c**2 + 14. Let h be i(-5). Let q(f) = f**3 - 6*f + 6. Determine h*q(j) + 6*l(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 205659623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**2 + 51*v - 61. Determine b(-10).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9501*g - 9498*g - 22*g**3 - 145*g**2 + 7 - 19*g**3.\nAnswer: -41*g**3 - 145*g**2 + 3*g + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*x**2 + 77*x**2 + 2*x**4 + 2*x + 98 as c*x**4 + a*x + j*x**3 + s*x**2 + i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 685 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*t**3 - 5*t + 30*t**2 - 83*t**4 - 10 + 0 + 93*t**4.\nAnswer: 5*(t + 1)**2*(t + 2)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2490 and 904093270?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156514676 is divided by 270.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 800*h + 70. What is r(160)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 0. Suppose -c - 60 = -a - 4*a, -4*a + x*c + 42 = 0. Let v = 1 + a. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*b**5 - 146570*b**4 - 251316*b**3 + 125612*b**2 + 418822*b + 188478 = 0. Calculate b.\nAnswer: -1, 9\/7, 10471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 6946892.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9816924*i**3 + 17233341*i**2.\nAnswer: -58901544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 + 427\/4. Is x not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 4, k: 8, t: 1}. What is prob of sequence wkk?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157\/45 + 18\/5. Let z = 86 + -89. Let r be z\/(-9) + 4\/((-336)\/52). Which is the biggest value? (a) -0.4 (b) u (c) r (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-6))\/(-1) - 2\/(-2). Is 3\/5 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = 2, -3*o = 3*d - 18. Suppose 0 = d*z - 4*z. Solve 3*a = -z*a + 4*q - 6, -4*a - 3*q = -17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/12 - h**3\/2 - h**2 + 3*h. Give l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.919994925 - 3.92. Round g to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*t = 959, -866 - 3908 = 5*m - 3*t. What is the biggest value in 3, m, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/42 and 13\/329.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 121, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1079*k**2 + 62*k + 26. What is the tens digit of i(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41405 and 1157?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390107.\nAnswer: 390107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11131.982 + -11123. Let q = 9 - g. Round q to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*u + 125, 4*u + 137 = -r + 390. Calculate the remainder when 70 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115\/3 + (-2)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = 2. Suppose -19 - f = -5*x. Let w be (3 - x)\/((-1)\/(-3)). Is -2 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 186417?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1578 - -1143.1578. Let i = j + -1143.1102. Round i to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5001 - -5018. Sort c, -0.1, 1\/5, 2\/21, 2 in decreasing order.\nAnswer: c, 2, 1\/5, 2\/21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 3. Give w(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 1\/60*b**5 - 1\/60*b**6 + 0*b - 1\/6*b**3 - 9*b**2 + 1\/12*b**4 + 0. Solve q(v) = 0 for v.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 6*s = 64, 2926*s = -p + 2930*s + 39 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1643, -3083, -4511, -5921, -7307, -8663, -9983, -11261?\n\"Answer: h**3 - 1447*h - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*i - 5*i = 1, -39*i - 14 = -4*w - 40*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -39. Let o be -2 + 3 + y + -4. Suppose o*u + 4*p = 5*u - 61, -3*p = -4*u + 72. Calculate the remainder when 26 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -147439, -294584, -441711, -588814, -735887, -882924, -1029919, -1176866?\n\"Answer: c**3 + 3*c**2 - 147161*c - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 42*u**2 + u - 207. What is the lowest common multiple of 6 and z(-12)?\nAnswer: 8202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - 0 - (35 + 29 - 55)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - u**2 + 555*u - 555*u. Let o(l) be the third derivative of 0*l + 3*l**2 + 0*l**3 + 0 + 7\/60*l**5 + 0*l**4. What is g(o(b))?\nAnswer: -147*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/((-3)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3919410 by -9.\nAnswer: 435490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 3 - a)*(6*a**3 + 2*a**3 - 6*a**3) + (a - 4*a + a)*(-7 + 3 + 2)*(15*a**3 + 10*a**3 - 9*a**3).\nAnswer: 60*a**4 + 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(16))\/sqrt(8) - ((sqrt(72)\/sqrt(4))\/sqrt(9) - (-2 + sqrt(8))) - 3*(2*sqrt(162) + 2 + sqrt(162))*5)**2.\nAnswer: 25536*sqrt(2) + 319426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3200+-0.116\nAnswer: 3199.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, v: 5, o: 4, l: 5}. What is prob of picking 1 v and 2 o?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 1663*o - 1660*o. Let g be 0\/o + -2 + 4 - 3. Which is smaller: 7\/74 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + n - 82 = 45, -3*q = -5*n - 373. Does 45 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -10472.\nAnswer: -10471.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*f + 50, -2*l = -4*l + 3*f + 27. Suppose 0 = 2*z - l. Let t(d) = 6*d + 9*d - 3 - 14*d. What is t(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*b - 6*b**2 + 6 + 89*b + 11*b**2 - 178*b in the form o*b**2 + s + k*b and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 11*q**2 - 373*q - 4630. Calculate x(-13).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*m**3 - 16*m**3 + 35*m**3.\nAnswer: 70*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2001211122 (base 3) to base 14\nAnswer: -10b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4049676 + 4?\nAnswer: 404967a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 43*d + 11. Let c = 3215 - 3226. Let r(k) = 21*k + 6. What is c*r(t) + 6*q(t)?\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*g + 2. Let v(s) = -10*s**3 - 6*s**2 + 4*s + 5. Let r(h) = -30*h**3 - 17*h**2 + 11*h + 14. Let j(n) = 6*r(n) - 17*v(n). Calculate j(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 65 = 9*v. Suppose -5*w + 112 = 2*k, 0 = v*k + 3*w - 312 + 51. Suppose -k + 149 = 7*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*i**2*x**2 + 75*i**2*x - 13*i*x**3 - 4*x + 1 wrt x?\nAnswer: 70*i**2 - 78*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21134 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 2*q + 3*q)*(0*q + 0*q - q) - 5*q - q**2 + 5*q as w + d*q + g*q**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 31512*h - 384. Let r(s) = -3317*s + 40. Calculate -5*k(y) - 48*r(y).\nAnswer: 1656*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = 0, 6*l - 2*l + 432 = z. Let k = -305 + z. Suppose 5*p = 0, 5*w + 40 = 4*p + k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -88\/9 (b) -5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-240)\/10)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22, 0, 1 in ascending order.\nAnswer: 0, 1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(11\/(-2))*(-1)\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwshwkhhswhkhswh. Give prob of picking 1 s, 1 k, and 1 h.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 2748. Let g(b) = 6312*b. Calculate g(y(d)).\nAnswer: 37872*d - 17345376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -789*x**3 + 2*x**2 + 111*x + 1. Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 3. Let g(f) = -5*f - 4. Let n(d) = -3*g(d) + 4*u(d). Let b(c) = 25176*c + 3*c**2 - 25176*c - 6*c**2 + 2*c**2. What is n(b(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.08223 times 0.5?\nAnswer: -5.041115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*w - 438 + 1833, 2*b = -w + 916. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 1006*j**2 + 352*j**2 + 51*j**2. Let c be w(-1). Let k = 43714\/31 - c. Is k greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -27. Suppose m*d = d. Factor -3\/7*z + d + 3\/7*z**3 + 0*z**2.\nAnswer: 3*z*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11107 + 22220 - 1277*y**2 - 11114 - 2*y - 4*y**2 + 5*y**2 + y**2 + 0*y**2 + y**2 + 0*y**2 + (y - 4*y + y)*(1 - 1 + 2*y).\nAnswer: -1278*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:53 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*y + 18 = 3, -5*k + 5*y - 15 = 0. Solve 5*d - c - 18 = 0, k*d = d + 4*c - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times -21885?\nAnswer: 4814.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2292 + -2271 - (2 - (98 + -1))) + -1 + -9?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 810269383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13407 + 13407.029032. Round a to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(91\/(-35))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 730657771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(320) + sqrt(320)*1 + sqrt(320) + sqrt(320)))\/((sqrt(32)\/sqrt(4) + sqrt(8))*6))\/((sqrt(72)*-1 + sqrt(224)\/sqrt(7))*-6).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + p**2 + p**4 + (2*p - 2*p - 2*p**2)*(1 + p**2 - 1) + 143*p**4 + 212*p**4 + 439*p**4 to i*p**3 + n*p + f*p**2 + j*p**4 + c and give j.\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*s - 555*s - 60 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86776257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6cd (base 15) in base 13?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12326 + -12372. Let l(j) = -j - 60. Determine l(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -18448*w - 50793. Determine d(-3).\nAnswer: 4551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 15 = -2*m - 5, -p + 1 = -m. Let f(o) = 12*o**2 + 4*o - 4. Calculate the remainder when f(p) is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33789.\nAnswer: 3, 7, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 586779, 1173557, 1760335, 2347113?\n\"Answer: 586778*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 divided by 37.\nAnswer: 194\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69338474.\nAnswer: 2, 34669237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in months?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -15 - (8 + 3 + -6 + 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*y + 5*y - 3, 4*y = -20. Let z(p) = -6*p**2 + 54*p + 6. What is the remainder when z(3) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37073 is divided by 292?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*j - 28. Suppose 0 = -3*z + 5*p + 6, -4*z = z + p + 18. Sort -4, z, 4, j.\nAnswer: -4, z, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715 = 12*d - 137. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106696714 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.1. Let f = 83.2 - 93. Let p = f + 11.3. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 3*a - 3*a)*(429 - 429 - 236*a).\nAnswer: 236*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (-50 + 9 - -21).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002997 to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23518615 < 23518615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 4:03 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r - 27. Let p be f(6). Solve 8 = w - p*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 11. Suppose 3*q + 0*q = y*u + 151, 5*u + 149 = 3*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 260, 0.3, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 10 = 7*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 8:46 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 393*y**3 + 1037*y - 1037*y.\nAnswer: 393*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0 + 0*i**3 + 0*i + 42*i**2 - 1\/24*i**4. Let o(u) = 5*u**2. Give o(p(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 19*c - 5525 = 0. Is c greater than 324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2057 + 35036?\nAnswer: 32868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18746773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, l: 4, u: 7}. Give prob of sequence lele.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151514439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13154.39026 rounded to the nearest integer?\nAnswer: 13154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*x = -30, -3*u + x = 5 - 30 - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 11*b**2 + 16*b + 21. Let k(d) = 2*d**3 + 23*d**2 - 32*d - 43. Let w(i) = -3*k(i) - 5*m(i). List the prime factors of w(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 72361b0?\nAnswer: -72361a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0 - (-2 + 2)). Let s be 15 - (0 - k - 1). Let y = 37 - s. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9934 - -9934.3. What is the smallest value in d, 103, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18369? (a) -0.5 (b) 15\/572 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4 = 1. Let v = 54 + -30. Let l = v + -29. Which is the closest to x? (a) -3\/5 (b) 3\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*w + 635, -128*h = -130*h - 10. What is the remainder when w is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 5) to base 13\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 11*b**2 + 10*b + 2. Let d = -24 - -34. What is the smallest common multiple of (-134)\/(-6) - (-4)\/(-12) and m(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (-1)\/(-1))*132?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {i: 2, d: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -8 + 14 + (-4 - 2 - 9) + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 92. Suppose x = 3*l - 15. Solve -1 - l = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 5*x**2 + 6*x + 7. Let l be j(-6). Let v = 14 - l. Let k = v + -1. Solve 9 = 3*y - k*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*c - 406, -5*c + 536 = -5*s + 11. Let q = 145 - c. 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: Let p = 10 - 15. Let h = 5 - 2. Put h, p, -2\/7 in descending order.\nAnswer: h, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82192 - 740519\/9. Is y != -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6\/5, -1\/6, -31268 in ascending order.\nAnswer: -31268, -1\/6, 0, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 31 = -5*m, 3*m - 5 - 25 = -5*n. Suppose 0 = 3*u + 3, 57 = -m*f + 4*u + 241. Calculate the smallest common multiple of 138 and f.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57 + 16983*h**2 - 8490*h**2 - 143 + 2*h**3 - 8492*h**2 to the form b*h**3 + y + n*h + s*h**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7921*v - 7919. Determine n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 1. Let v = -0.48 + -0.02. Which is the third biggest value? (a) 2 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/5? (a) -0.4751 (b) 0.4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*w + 5*w. Suppose 4*a = 6*a - w. Let f(p) = p**2 - 6*p - 28. Let i be f(a). Put i, -0.2, 4, 20 in decreasing order.\nAnswer: 20, 4, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1840266793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -13, 5, 31, 65, 107?\n\"Answer: 4*m**2 - 2*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/11)\/t**(-1)*(t**0)**(-14) assuming t is positive.\nAnswer: t**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26163100*y**5 - 28*y + 230351.\nAnswer: 523262000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**4\/w)\/w)\/(w\/(w**(-4)*w)))\/((w\/(w**(-3)*w*w))\/((w**(-1\/7)\/w)\/w)) assuming w is positive.\nAnswer: w**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Suppose r*g + g = 0. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:36 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-15))\/(-4))\/((-9)\/(-27)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 2*j. Let a = -370 + 368. Let l(r) = 13*r**2 + 9*r. Determine a*l(n) - 9*y(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 - 3*g**2 - 4*g - 2. Suppose 0 = -3*h + 3*a + 3, 3*h + 5*a + 23 = -h. List the prime factors of r(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1709\/186 + 9\/62. Which is bigger: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17975, -35946, -53917, -71888?\nAnswer: -89859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3470156\/111)\/((-4)\/(-3)). Let a = -12706 + q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1080 is divided by 290.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s = 53*s - 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**2 - 10*o + 9. Let b = -261 - -272. Is v(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 6*x**2 + 6*x + 1. Let c be q(5). Let p be 5*(18\/60)\/(c\/65144). Let n = p + -9216. Round n to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/7))\/s)\/((s**(-12)*s)\/s) assuming s is positive.\nAnswer: s**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = -9. Let l be (-20)\/(-15)*(s - 0). What is the second smallest value in l, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11878 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 5 - (2 - 2) - (15 + -2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 0 + (-21 + 54 - 21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122248\/518*1\/8*4?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 78*x**3 + 2*x**2 + 2*x - 3. Give w(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a + 22 = 0. Let f = a + 21. Calculate the remainder when 37 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1600378 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7924967650?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - 3.6. Let m = -0.9 + k. Suppose 0 = 3*q - q - 10, 4*q - 25 = 5*b. What is the nearest to b in 0.1, 2, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 14 (b) -3\/2 (c) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*sqrt(153)*2)\/(-2*sqrt(81)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 33 (c) -17 (d) -0.02 (e) 3\/5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12693979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 10\/1 - -6. Solve i + n*i - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35\/(-10))\/(2\/28). Let r = o - -295\/6. Which is the fourth smallest value? (a) 0.2 (b) -2\/5 (c) -12 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*m**3 + 2*g**3*m**2*y + 12*g**3*y - 2*g**2*m**3*y + g**2*m**3 - 6*m**2*y - m wrt g?\nAnswer: -6*m**3 + 12*m**2*y + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a kilometer in meters?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/112 and 57\/1442.\nAnswer: 11536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and -0.17.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 1 p when three letters picked without replacement from plqlwlq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258801 divided by 7.\nAnswer: 258801\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*(-1 + sqrt(200)) + -1)**2 - (sqrt(200)*1*6 - (sqrt(200)*-2 + 2))**2).\nAnswer: -10988 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-12)\/(-3) + -2. Let z = 29 - 29. Suppose a + z*a - 4*l = 0, -5*a = -l. Solve a = s*g - g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147767 - 147767 - 14108*l + 295534.\nAnswer: -14108*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.94 - -0.06. Suppose -4 = 2*o, -3*b + 55 = -o + 11. Is l at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 48*o = 100440. List the prime factors of o.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 21*a - 3*u = -177, -552 = -3*a - 2*u. Suppose 7497 = -179*m + a*m. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k - 2354 + 2354.\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -20\/29903?\nAnswer: -20\/29903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47*-0.4.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 706, -10, -4, 1, -20, 4 in decreasing order.\nAnswer: 706, 4, 1, -4, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2637 and 28421?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6478 = b + 2*q, -12946 = 5*b - 7*b + q. Suppose 10792 = 5*g + v, 19*g - 16*g + v = b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 1:38 PM?\nAnswer: 281","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -13 (b) 34 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:40 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3420940 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -83332*q**2 - 2008*q + 502. Let m(r) = 499*r**2 + 12*r - 3. Give 3*g(a) + 502*m(a).\nAnswer: 502*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12525, -12534, -12545, -12558?\nAnswer: -12573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v**2 - 820*v**2 + 6*v**2 + 804*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 83030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/14868867 and -27\/3812530?\nAnswer: 148688670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2513, 4, 5 in ascending order.\nAnswer: -2513, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.48406*-0.0702\nAnswer: -0.174381012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60552 is divided by 904.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 9*w + 14. Let q be y(10). Suppose q*m - 10 - 78 = 0. Suppose -3*a + m = -26. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -38, -72, -110, -152?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7 + 7 + 2*h**2. Let b(q) = 0 + 0 - 7*q**2. Determine b(m(u)).\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1048, 9411, 32414, 77377, 151620, 262463, 417226, 623229?\nAnswer: 887792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6508005?\nAnswer: 3, 5, 7, 61981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/(-84))\/(1\/(-8)). Let b(w) = w + 2*w + s*w**2 - w**2 + 2*w + 3. Let v(n) = 3*n**2 - 2*n - 6. Let f be v(0). Calculate b(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -1\/110*g**6 + 1\/44*g**4 + 1\/462*g**7 - 1\/220*g**5 - 3*g + 0*g**3 + 0*g**2 - 3. Solve b(d) = 0 for d.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y - 2*y = 50. Calculate the lowest common multiple of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-132)*-11*(1 + 0 - 0). Which is the nearest to -5.6? (a) 5\/2 (b) -1\/5 (c) x (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8161761 years to centuries.\nAnswer: 0.008161761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 11200?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588050?\nAnswer: 2, 5, 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -7*i**4\/12 - 2*i. Suppose -41 = -7*c - 27. Let y(p) = 9*p**c + 7*p**2 - 20*p**2. What is f(y(a))?\nAnswer: -112*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let p(t) = -2 + 4*t - 4*t + 5*t. What are the prime factors of p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**3\/3 + 1. Let k(b) be the second derivative of b**3\/6 - 5*b. Give p(k(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5619 + 5641. Let l = -4 - -6. Solve -5*g + l = x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -20*t**2. Let o(r) = 35593146*r. What is z(o(v))?\nAnswer: -25337440843546320*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -34, -26, -34, -64, -122, -214, -346?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m**2 + 8. Let g(y) = -4*y**2 + 3. Let d(x) = 8*g(x) - 3*h(x). Let c(p) = 2*p**2 - 3*p + 2. Determine c(o) - 3*d(o).\nAnswer: -o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/7 + 114*a\/7 + 1269\/7.\nAnswer: -3*(a - 47)*(a + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 2*t**2 + 2*t - 3. Let x be h(2). Suppose 4*b - 12 = 4*z - 8*z, -6 = 2*z - 4*b. Is z > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -46*r**5\/5 - 2*r**4 - 2*r**2 + 39*r - 2557. Find the second derivative of g(s) wrt s.\nAnswer: -552*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/12)\/((-361)\/1). Which is greater: -0.04 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13050556 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 167*j**2 + 3292*j + 2 + 73*j**2 + 49*j**2 + 43*j**2.\nAnswer: -2*j**2 + 3292*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/15840*220)\/(-1*5*371\/126)?\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:02 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -24*x**2 - 33*x - 9 = 0.\nAnswer: -1, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1568? (a) 0.1 (b) 63 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38888 by 3.\nAnswer: 38888\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148.09 - -148. Which is greater: 6\/11 or y?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bubfhffbfhhfk. Give prob of picking 1 k and 1 u.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2452, -2457, -2192, -1651, -828?\n\"Answer: u**3 + 129*u**2 - 399*u - 2183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 93425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -762?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8298106 centuries to months.\nAnswer: 995.77272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12569 + 1132*f + 12569.\nAnswer: 1132*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 1 (c) -82 (d) 6 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 3, 6.\nAnswer: -11, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 12*t**2 + 6*t - 74. Determine d(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i = -9. Let p = 7 + i. Suppose -2*u - 4*k + 8 = -p, 0 = u - k. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 2*y. Let g be -3*(30\/18 - y). Let q(o) = -o + 4. Give q(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 307 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*t = 614, -s = -t - 94 - 109. Let d(n) = -n**3 + 27*n**2 + 23*n + 2. Let j be d(28). Let u = s + j. Is 30 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.9 + -14. Is -16 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001678933 rounded to six dps?\nAnswer: -0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.86 + 1.86. What is the biggest value in 0, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 19*k - 20*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(-2 + b + 2)*(77 + 95 - 54) as c*b + m and give c.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/12)\/((-15)\/16). Let l(g) be the first derivative of 0*g + n*g**5 + 0*g**3 + 1\/3*g**6 + 0*g**2 - 1 + 1\/2*g**4. Factor l(w).\nAnswer: 2*w**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -542*2*1\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001001000100 - 10100100000?\nAnswer: -10011101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, u: 5, z: 1, r: 1, m: 3}. What is prob of sequence zr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 3*u - 5*u)*((5 - 5 + 1)*(0 + 2 + 0) - 1 + 5 - 2 - 3 - 1 + 2 + 2 + 12 - 6).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -39. Let k(n) = n**3 + 5*n**2 + n + 7. Let q be k(-5). Let p(z) = -q*z + z - 4 + 3*z - w*z. Calculate p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 0*g + 5*g)*(-28*g**2 - 8*g**2 + 49*g**2).\nAnswer: 143*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 - 13*p**2 - 3. Let n(v) = -2*v - 18. Let j = 694 - 707. Let w be n(j). Let m(a) = 6*a**3 + 38*a**2 + 8. Give w*q(r) + 3*m(r).\nAnswer: 2*r**3 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 - -0.3. Let g = -4 - -5. Let p = 77\/3 + -26. Sort b, p, g in descending order.\nAnswer: b, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 2*t**2 - 4*t + 2. Let k(x) = -3*x**3 + 3*x**2 - 5*x + 3. Give 5*a(m) - 4*k(m).\nAnswer: -3*m**3 - 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 30349?\nAnswer: 8\/30349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 10*f + 5*f = -13*f. Solve f = -3*z - 61 + 49 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/63 and 115\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.830674 meters in kilometers?\nAnswer: 0.003830674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291310514579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -354 * -1.3.\nAnswer: 460.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3082913.\nAnswer: 41, 75193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 37. Let a be q(-14). Let u be 4\/((-80)\/(-35) + -2). Let d be (1 + (-10)\/u)*(15 - 1). Solve a*h = d*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 9312.\nAnswer: 9312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let y(l) = -11*l + 1. Calculate 10*k(w) - 2*y(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + (1 - 2)*1. Let g be -11 + 109\/5 - 11. What is the fourth biggest value in k, g, 5, 2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519894 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 255*n**2 - 7559*n - 10724. Calculate i(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - x**2 - x + 1.\nAnswer: (x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l**2 + 90*l + 9. What is m(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -738828, -739626, -740956, -742818?\n\"Answer: -266*b**2 - 738562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -23*l. Let q(f) = -2*f + 1738. What is d(q(i))?\nAnswer: 46*i - 39974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(24) + (sqrt(13) + 2 + -3*sqrt(13) - sqrt(13))**2 - (sqrt(13) + -2 + sqrt(13) + -1)*-6.\nAnswer: sqrt(13)\/2 + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200478379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*i**2 + 41*i + 141*i**2 + 146*i**2 + 82*i**2 + 142*i.\nAnswer: -2*i**2 + 183*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -333.190003 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27873763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -5, -4, -36.\nAnswer: -36, -6, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2988 is divided by 299.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 21*y + 34. Let n be t(-16). Let s be 1 + n - (-3 + 2). Calculate the common denominator of -14\/11 and (-6)\/s*-2469 + (-4)\/26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(2\/(-20)). Suppose 0 = -t - 0*t - q + 64, -t + 4*q = -64. Let y be t\/24 + (-2*1)\/1. Which is the third smallest value? (a) m (b) 0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 0*f**3 - 2*f**2 + 2*f - 3*f**3 + 0*f to the form n + k*f**3 + l*f + o*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -62*c + 3. Let o be w(3). Round o to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12\/11 (b) 10 (c) 11160\/119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*s - 59 = 0, 0 = -2*l - 4*s + 7 - 5. Let n be (-36)\/10 - 2\/5. Suppose 0 = -u - 5*m - 21, 0*m + 4*m + 16 = 0. Sort n, l, u.\nAnswer: n, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2. Let q be o(1). Let y = 49.0035 - 0.1035. Let t = -49 + y. Which is the biggest value? (a) t (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -n - 64. Is ((-66)\/n)\/((-42)\/112) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k - 3*k)*(-2 + 2 - k) + (0*k - k - 6*k)*(-5*k + 4*k + 3*k).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59774 and 1159?\nAnswer: 3646214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4aaa9c4 + 2?\nAnswer: -4aaa9c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-204)*17*12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65 - (-158 - -228)) + (-2 + 1 - 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-8 - -4)) + (-22 - (10 - 1))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10851 is divided by 112.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57996, -463252, -1563228, -3705282, -7236772?\n\"Answer: -57893*h**3 - 2*h**2 + h - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-1)\/4*(-18)\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 82687, 82739, 82827, 82951?\n\"Answer: 18*g**2 - 2*g + 82671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.9072 kilograms in grams?\nAnswer: 197907.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 8 - 3)*(4*m + 2*m + 2*m) + (0 + 1 + 2)*(-4*m + 2*m + m + 2) in the form w + x*m and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627866 is divided by 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/28? (a) -2\/9 (b) 5 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.00347888798467 + -4\nAnswer: -3.99652111201533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 1\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-2)\/12). Suppose 0*z - 3*z = 3*o + s, 4*z = -20. Solve 6 = o*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 193914 and 1596?\nAnswer: 387828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:10 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*m - d, m = -4*d + 18 - 0. Let i(h) = -5*h - 12. Let j(v) = -27*v - 64. Let b(s) = -11*i(s) + 2*j(s). What is b(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1777*m**3*r**2 - 5*m**3 + m**2*r - 4*m**2 - 3*m*r wrt r?\nAnswer: -3554*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i - 43 - 267. Let y = 60 + i. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5*q, 0 = -19*q + 18*q + s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 3)*(3*w + 2*w - 7*w) - 64 + 64 - 34*w)*(-2*w + w + 2*w).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, h: 1, q: 3, v: 4, m: 1}. What is prob of picking 1 v, 1 z, and 1 m?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61224 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**4\/4 - 5*i**3\/3 + 2*i + 8. Let g be u(5). Let a be 0 - (1 - 3) - 10. Put g, a, 0 in descending order.\nAnswer: g, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0 (c) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**22*k\/(k*k**21)*k\/(((k*k**(1\/37))\/k)\/k)*k*k**30*k assuming k is positive.\nAnswer: k**(1294\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 5*i + 21, 3*i - 4*x + 6 = -1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.2 - -4.4. Which is smaller: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*x - 16 + 5, -x - 6 = v. Put x, -0.2, 2\/11 in descending order.\nAnswer: 2\/11, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + a + 1001 - 1007, 0 = -3*f + 5*a - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 3*t - 7. Let l be x(6). Let r = 1 - -2. Suppose -s = -l + r. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.556 - -51.56929284. Let g = s - 0.0133. Round g to 7 dps.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 57*v**2 + 150*v + 15822. Give z(-59).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/6)\/((-10)\/15). Suppose -5*y = -t*o - 20, 3*o - y + 2 = -0. Suppose 5*l = 15, -4*j + 5*l + o = -12. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 5*l**2 + l + 7. Give c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + 6*sqrt(171)*1))\/(((sqrt(216) + (sqrt(216) - -2*sqrt(216)) + sqrt(216))\/sqrt(6))\/sqrt(4)).\nAnswer: -14*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/23)*s**18 assuming s is positive.\nAnswer: s**(412\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65417?\nAnswer: 11, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1170*k - 5849. Let c be r(-5). Suppose -2*z - 1 - 9 = 0. Let h(v) = -v - 1. Let s(b) = -6*b - 6. What is c*s(g) + z*h(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 22052192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 7*f + 10. Let j be o(-8). Suppose 3*b = -j*n + 61, 0*n + 2*n - 3*b - 43 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - l - 36 = -12, l = 3*n - 64. What is the tens digit of n*((-9)\/6)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (8 + 13 + 5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4\/(-48)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 894174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 94756591.\nAnswer: 94756591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 976, 11588, 40522, 96940, 190004, 328876, 522718, 780692?\nAnswer: 1111960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206437799*a**2*s*t - 12525*s*t + 30*s + 4*t + 1 with respect to a.\nAnswer: -412875598*a*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.031 - 10.\nAnswer: -9.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8300769 and 2714.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1188 + 1193. Let x(t) = 5*t + 6. Let q(j) = 1. Calculate g*q(p) - x(p).\nAnswer: -5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*o = 13, o + 11 = 3*w - o. Let k(h) = -h + 1. Determine k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44799 is divided by 2481.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 2, 2\/13, -0.3, -27, 30 in increasing order.\nAnswer: -32, -27, -0.3, 2\/13, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s + 4. Determine o(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {d: 1, t: 4, s: 1, k: 11}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l - 12. Let g be y(-7). Let j = 56 + g. Let x(t) = -9*t**2 + 10*t**j + 18*t**2. Let p(v) = v. Give p(x(k)).\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 180.110888 to the nearest integer.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 13545?\nAnswer: 37\/13545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(2\/21)*(u\/(u*u*u**(-3\/5))*u*u)\/u assuming u is positive.\nAnswer: u**(178\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -403*w - 29064. Calculate v(-70).\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273321 by 2.\nAnswer: -273321\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -23*k**5\/60 + 8*k**2 + 24*k. Let x(j) be the first derivative of r(j). Let c(y) = y. Calculate x(c(z)).\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 2*t**2 + 6*t**2 + 45*t**3 + 1356294*t - 1356294*t.\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9451 and 0.4.\nAnswer: 0.77804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42400232 (base 5) to base 7.\nAnswer: 3012553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x**3 + 3*x)*(-3*x - 1 - 3*x + 5*x) + (26*x**3 + 19*x**3 - 19*x**3)*(-26 + x + x - 4*x).\nAnswer: -53*x**4 - 677*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5210 + 379.0453\nAnswer: -4830.9547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15))**2 assuming k is positive.\nAnswer: k**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406986 and 696?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t**3 + 4*t**2 + 12*t - 2. Let r(w) = -56*w**3 + 26*w**2 + 72*w - 13. Give 39*i(y) - 6*r(y).\nAnswer: -15*y**3 + 36*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18386 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: Put 2, -0.32, 0.4 in decreasing order.\nAnswer: 2, 0.4, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27389820019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6751420 and -247293.\nAnswer: -6998713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 4:54 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*w**6 + 2*w**3*y**2 + 66*w**2*y**2 + 9*w*y**2 wrt w.\nAnswer: -13800*w**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*i**3*s**2 + d**2*i**2 + 7*d*i**3 - 22405*d*i**2*s**2 - 4432*i*s wrt s.\nAnswer: 4*d**2*i**3 - 44810*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 20*i - 202. Let r(o) = -12*o + 117. Let l(g) = 12*r(g) + 7*x(g). Calculate l(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + l + 0)*(l**3 - l**3 + 2*l**3) + 2*l**4 - 1 + 1 + (-l**3 + 2*l**2 - 2*l**2)*(0*l - l + 2*l).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 0 + 5 + 5*l**2 + 4*l**2 in the form y*l**2 + u + d*l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j. Suppose 4*m = j, -5*o + 20 = 4*m - 0*m. Solve -2*l - i = -6*l + 13, 4*l = 4*i + o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/21456 and 115\/90294.\nAnswer: 2167056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7669 + 0.2331. Which is the smallest value? (a) p (b) 2\/9 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 + 3*a - 3*a + 0*a.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.187 + -119.187. Let f = s + 209. Let c = f - 92. Sort 5, c, 0, -0.2 in decreasing order.\nAnswer: 5, 0, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/((-65)\/195)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 24. Let x(p) = 6*p - 5. What is the tens digit of x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from lkkkkkkfk.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39121317, -78242633, -117363949, -156485265?\n\"Answer: -39121316*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 255801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 - 2*t**4 - t**3.\nAnswer: -t**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260196, 1041278, 2343246, 4166100, 6509840, 9374466?\nAnswer: 12759978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7844\/(-795) + 2\/(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -30. Put w, -3, -5, 3 in descending order.\nAnswer: 3, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 34*f. Let o(b) = 2*b**2. What is p(o(g))?\nAnswer: -12*g**4 + 68*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 201*q**2 + 714*q - 23734. Determine k(198).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 7*c + 6. Let a be (49\/7 - 9)*-1. Let l(q) be the first derivative of 3*q**a + 8 + 5*q - 1\/3*q**3. Give 5*b(o) - 6*l(o).\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2581 and 534.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 227389890 divided by -2498790\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1. Suppose -3*v = -i + 5, i - v + 10 = 3*i. Suppose -2*y + 2*u = 0, 4*y - i - 1 = -2*u. Let x(g) = -g. What is y*b(w) - x(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -174, 1.\nAnswer: -174, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36986683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - (-210)\/24)*-4. Let o = -9489\/11 - -861. Is f > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 4*s - 4. Let x be u(10). Calculate the greatest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336888 and 342.\nAnswer: 6400872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (53*-1)\/(110\/(-50) - -2). Let x = -244 + a. Calculate the least common multiple of x and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -662195 - -87342.\nAnswer: -574853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2582 + 3*n**2 + 2582 - 2*n**2 + 132*n.\nAnswer: n**2 + 132*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2469 or 176772?\nAnswer: -2469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4 - 6*o - 79*o + 0. Let v be n(9). Is v\/(-11) + 6\/(-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24944 is divided by 198?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)\/(q**(-16)*q) assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 6*h**2 + 8*h + 13. Let d(k) = k**3 - 2*k**2 + 3*k + 5. What is -11*d(w) + 4*l(w)?\nAnswer: -3*w**3 - 2*w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let u(r) be the third derivative of r**5\/30 - r**4\/24 - 9*r**2. Let m(k) = -4*k**2 + 2*k. Determine d*m(q) + 5*u(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29763 and 115745?\nAnswer: 1041705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 7 - 304*d**3 - 6*d + 14*d**2 - 11*d**2 + 2. What is the units digit of t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:27 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*g + 115*g + 20 = 4*f, 19 = -3*g + 4*f. Let j = 0.1 - 3.1. Let r = 5 - 4.5. Which is the closest to 0.1? (a) j (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 - 4*z + 2. Let l be v(2). Let t(i) = 2*i**2 - 2*i. Let f be t(l). Factor -5*d - d**2 + 5*d + d**f.\nAnswer: d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-7 - (90\/12 + -8)*4). What is the nearest to b in -1, 0.03, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + 2.94. Let s = -2.9 + t. Let g be 4\/(8 - 7) - 90\/75. Does s = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3027, 3023, 3021, 3021, 3023, 3027?\n\"Answer: d**2 - 7*d + 3033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:25 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43380193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-238)*8\/(-60))\/((-153)\/(-170)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -40*u + 50*u - 24 - 26*u**2 + 27*u**2 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -30 + 21 + -18 + 72?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 1. Let a be m(1). Let w be a\/2 + (-6)\/(-12). Solve 4*k - w*y - 16 = -0*y, 0 = 3*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 12\/10)*409\/((-5108001)\/(-1810))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(8)\/sqrt(16) + sqrt(2) + (sqrt(72) - -1*sqrt(72)))**2.\nAnswer: 729\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 4*t**2 + 7*t + 26. Let d be b(5). Let f = -7 - -44. Are f and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 80.71132 hours?\nAnswer: 290560752000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 1459999*w**4\/24 + 5*w**3\/6 - w**2. Suppose -5*j = -10*j + 25. Let r be d(j). Round r to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-31)\/15 - (-6)\/15. Sort 1\/4, x, 2\/9 in ascending order.\nAnswer: x, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -2\/3 (c) -0.02 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.1457756 + -7.71577. Let q = b + -0.43. What is q rounded to seven decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -0.7 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1757 times -33806\nAnswer: -59397142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 68*y + 272. Let b be u(-4). Which is bigger: 23\/21 or b?\nAnswer: 23\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1569.4095 months?\nAnswer: 130.784125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 - 3*v - 124. Let g be c(0). Let o = g - -216. Calculate the least common multiple of 20 and o.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275924795.\nAnswer: 5, 881, 62639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 34*q. Let m(d) = -56*d - 4365. Let h be m(-78). Let f(z) = -1395*z. Give h*f(n) + 124*y(n).\nAnswer: 31*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 6*sqrt(152)*-1 - sqrt(152))\/((sqrt(968)*2 - sqrt(968)) + sqrt(8) + sqrt(8)).\nAnswer: -6*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416 divided by 4.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 4*x - 3*x - 5*x + 0*x + 4*x + 2 - 2*x - 2 - 4*x - 2*x + 5*x + (x + 0 + 0)*(-6 + 2 + 2) + 3*x - 4*x - x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5912)\/8868)\/((1\/2)\/(89*(-6)\/(-8)))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466880.\nAnswer: 2, 5, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36651 is divided by 12213?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*n - 6*n - x, 3*n - 114 = 4*x. Suppose n*l - 9601 = 41399. Round l to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63\/2 + 32. Let o = -19.1 - -1.7. Let k = 17 + o. What is the third smallest value in j, 0.1, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/15*(-77 - (-2 + 0)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 688 + -678. Suppose -i + 18 = -4*j, 2*i - j - 47 = 10. Calculate the highest common factor of p and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.6 - 25. What is k rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2*a**2 - 10 + 25 + 4*a**2.\nAnswer: 6*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96.5305 + 96.5. What is n rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510 and 63852.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -16*x - 1. Suppose -4*j = -2*j + 2. List the prime factors of f(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 11*n**2 - 2*n + 9. Let f be 1 - (-3 - (-68)\/4). Is m(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**3 + 1000*a**2 - 62*a**3 - 1973*a**2 + 973*a**2.\nAnswer: -47*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 11 = 2*m - 3, 4*p - 20 = -2*m. Let v = -162 + 208. Suppose -38 + v = m*l. Let r(x) = x**3 - 3*x**2 + 2*x - 1. What is r(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 837 = -r, -6*q + 4*q - 8 = 0. What is the common denominator of -2 - 7\/(2030\/r) and 85\/18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (-4*-1*sqrt(128) - sqrt(128)))**2 - -6*((1*sqrt(288) - sqrt(288)) + sqrt(288) - sqrt(2)).\nAnswer: 66*sqrt(2) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 12, 36979 - 36539 = 13*b - 5*m for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17257 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + 19. Let b = -128\/3 + f. Let n = 0 + -1. Which is greater: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1273*g - 1275*g - g**4 + 0*g**4 - 6 + 0*g**2 + 8*g**2 as k*g**3 + i + b*g**2 + u*g + w*g**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024608 to 4 dps.\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 343*k + 1618 - 826 - 809 in the form o + v*k and give v.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, j: 2}. What is prob of sequence jjp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 20. Which is the nearest to 3? (a) 0.4 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + o - o + (1 + o - 1)*(o - 1 + 1) + o**2 + 0*o**2 + o**2 - 4*o**2 - 54*o + 2*o**2 + o**2.\nAnswer: 3*o**2 - 54*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuu. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 4*r**2 + 4*r + 3. Let s be i(-2). Factor 2\/11*d**5 + 2\/11*d**2 + 0 - 2\/11*d**4 - 2\/11*d**s + 0*d.\nAnswer: 2*d**2*(d - 1)**2*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:23 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 34*o**2 + 973*o - 332. What is s(-29)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5249*b - 493. Let d(c) = -32*c + 3. Give -986*d(y) - 6*j(y).\nAnswer: 58*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-1) + 2)\/2. Suppose z = 3*c - c. Suppose c*l - l + 5*q - 2 = 0, -5*l + 16 = q. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 1, a: 4, r: 2}. What is prob of picking 1 n and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1819.94038 + 209.266.\nAnswer: -1610.67438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -847 - -3977. Suppose m + 5510 = 24*g. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65 + 65 - 2*y)*(-3 + 1 + 3)*(0*y**2 + 2*y**2 + 5*y**2) to the form k*y**3 + z*y**2 + x*y + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -220221?\nAnswer: -221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4053609 divided by -259?\nAnswer: 15651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h - 6. Suppose -h*l + 3*l + 12 = 0. Solve -2*j = -l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227726?\nAnswer: 2, 31, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 7) to base 16.\nAnswer: -3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 726*a**2 - 1 - 4349*a**3 - 726*a**2 + 10*a.\nAnswer: -4349*a**3 + 10*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 156 = -0*j + 4*j, -3*l = -12. Let k be 1\/(-2) + j\/28. What is the second derivative of 4*y + y - 1 + k + 2*y**5 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3\/2 - 4996*d**2 - 28062*d + 12024 = 0. Calculate d.\nAnswer: -6, 2\/5, 2004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(80)\/sqrt(2))\/(-3*sqrt(8)*-6))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7*u + 7*u + 6*u - 11*u + 10*u.\nAnswer: 19*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4365371872 a multiple of 1186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 606 - 151?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((63\/35)\/(-3))\/((-18)\/(-13 - -7)). Is j <= 89\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/53, -26635, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*f = -94, 2*f = -l + 25 - 0. Let v be ((-28)\/l)\/(4\/30). Let o be 4\/v*(-2)\/(-6). What is the third biggest value in -0.5, -0.4, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/10 + 19\/5. Suppose s*b = -b + 8. Suppose b*y = -y + 27. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 9*z**4\/2 + 11*z**2 - 372*z + 5. Let n(o) = -o**2. Determine u(n(v)).\nAnswer: 54*v**4 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 76\/(-6) + 2\/3. What is the remainder when (-951)\/o + 3\/(-12) is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14136)\/97774*-2*2\/(-24).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + u. Let k(l) = -2*l**2 - 2*l - 3. Let a(o) = -3*i(o) - k(o). What is a(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 328737755 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*a + 20, -2*a - 4*h - 5 - 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2. Let v = -35 - -31. Let u(t) = 3*t**2. Let d(i) = v*a(i) + 3*u(i). Let l(o) = -2*o + 41. Determine l(d(s)).\nAnswer: -2*s**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130737926?\nAnswer: 2, 11, 47, 227, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 6*m - 4. What is the remainder when u(-6) is divided by ((-3)\/2*3 - -5)*(15 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 8 = 56. Let i(x) = -x**3 + 8*x**2 + x - 5. Let d be i(z). Solve -2*y - 1 = d, 2*y + 6 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 4, v: 2, i: 1, p: 2, o: 2}. Give prob of sequence fiv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11099 - -11032.23. Let h = -57.77 - -58. Let u = i - h. Which is smaller: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 283*q**2\/2 - 622*q + 443. Differentiate x(z) with respect to z.\nAnswer: 283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -215423\/8 + 26928. Let a*d**2 + 15\/4 + 17\/8*d = 0. Calculate d.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1*p)\/(p*p**(-8)\/p))\/(p**(-2\/9)*p)**(9\/5))**(-3\/2) assuming p is positive.\nAnswer: p**(-129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32621.346 and 0.05?\nAnswer: 32621.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 2*c**4 - 3*c**2)*(3 - 3 + 1 - 2 + 0 + 1 + (2 - 1 - 2)*(-1 - 3 + 3) + 1 + 1 + 1 + 6 + 1 - 1 + 1 + 2 - 4 + (-2 + 0 + 1)*(2 - 2 - 2)).\nAnswer: 22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047518107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264 a factor of 639924128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**4\/12 - t**3\/2 + 2*t**2 - 6*t. Let r(u) = u**3 - 12*u**2 + 6*u + 28. Let q be r(11). Let y = -24 - q. Determine b(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 4, t: 4, p: 2, a: 2}. What is prob of sequence tft?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2010475 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -109*z + 595. Let f be h(6). Sort -5, f, 5, 2 in descending order.\nAnswer: 5, 2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -755*k**3 - 10*k**2 - 61*k - 396?\nAnswer: -4530*k - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**5)\/h*h\/h**(-1\/4))\/(h**(-3\/7)*h\/(h\/(h\/(h**5\/h)))))\/((h*(h*h**5\/h)\/h)\/(h**(-1\/5)\/h)*h**(-1\/2)\/h*h**4*h) assuming h is positive.\nAnswer: h**(-1263\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 4 - 3 - 3. Let i be n(-2). Suppose h - 4*h + 3 = i. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 20*k - 26. Suppose 0 = -0*z + z - 90. Suppose d - z = -4*d. Calculate the lowest common multiple of d and r(-18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Let t = -17 - -25. Let l = t - d. Calculate the greatest common factor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {t: 2, l: 1, u: 6, m: 1, i: 1, r: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106202.\nAnswer: 2, 53101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, 4, 18633.\nAnswer: -4, -0.5, 4, 18633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l + (-l + 3*l - 4*l)*(-11 + 4 - 4))*(-2*l + l + 2*l) + (2*l + 0 + 0)*(1 + l - 1).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1775410, 1775412, 1775414, 1775416, 1775418?\n\"Answer: 2*h + 1775408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3840163 from 123.\nAnswer: -3840040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -2 - (-6 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92095 is divided by 15045.\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*q. List the prime factors of ((-9)\/q)\/(4\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 314, -6, -5, -4, -2300 in descending order.\nAnswer: 314, -4, -5, -6, -2300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c - 11*c = 3572. What is the remainder when 374 is divided by c?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21663*v**3 + 10833*v**3 + 10828*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 127771629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 11*i - 8. Let g be y(-10). Let q be 17*(2 + -3 + g). Suppose -t = 1, -5*p - q + 64 = 3*t. Calculate the smallest common multiple of p and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((810\/(-50))\/9)\/((-11)\/(1815\/9))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113813, 227942, 342069, 456194, 570317?\nAnswer: 684438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6)\/((-10)\/45). Let v(t) = -9 + h - t**3 + t**2 + 4*t**2 + 9*t. What are the prime factors of v(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(396)*-2 + sqrt(11) - sqrt(99)*4) + 5)**2.\nAnswer: 5819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -0.5, 3, -3 in descending order.\nAnswer: 52, 3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4661, 4656, 4655, 4664, 4689, 4736, 4811, 4920?\nAnswer: 5069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17*x + 308. Give w(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64588028 divided by 4.\nAnswer: -16147007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0 + 2*w**2 + 0*w**2 + 6. Suppose 25*o + 12 = 28*o - 3*a, 16 = -3*o - 4*a. Let i be c(o). Solve 10 = -y + i*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/6*(-1092)\/(-8) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491006?\nAnswer: 2, 383, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 5*y**2 + 58*y + 310. Determine i(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18\/5 of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*i + 6, -3*j + 3*i - 15 - 3 = 0. Let g(h) = 44*h**2 + 13*h + 110. What is the hundreds digit of g(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -47\/14 (c) 3\/8 (d) -1.7 (e) -6 (f) 2\/3 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/19 or 9395?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5 - 1150*m**4 + 138356*m**3 + 132140464*m**2 + 8144794560*m + 8012793600 = 0. Calculate m.\nAnswer: -420, -68, -1, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33*(1 - 0) - 3. Are 29 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, 1\/9, 2879 in descending order.\nAnswer: 2879, 0.24, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 611963620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7061s in nanoseconds?\nAnswer: 3706100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 6706076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a second in milliseconds?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/115 and ((3\/24)\/(22\/(-8)))\/((-19)\/(-76))?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*l + 37*l + 350. Suppose -3*n + 2 = 4*c - l, 2*n = 3*c + 1. Let v(t) = -t**3 + t**2 - 3*t - 1. What is v(c)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44308498 is divided by 647.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = -1164 + 10524. What is the smallest common multiple of 51 and h?\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*f + 1837 - 1837)*(0 + 3 + 3)*(0 + 0 - 4).\nAnswer: -1368*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by -7087269?\nAnswer: -61\/7087269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezk when three letters picked without replacement from qfekjzqz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7465 - 7431 = -2*c + 2*d, -c = -2*c - 11*d + 43 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + q + 8, 4*n + q = -4*q - 4. Solve -h = -m + 2*h + 13, 0 = n*h + 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148891.397 rounded to the nearest 10?\nAnswer: -148890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*q + 277*q = -235796. Calculate the smallest common multiple of q and 242.\nAnswer: 56386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 163*u**2 + 16745*u + 12129. Calculate z(-102).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-2*sqrt(48))\/sqrt(8))\/(-2*sqrt(8)\/sqrt(4)) + -6*(0 + sqrt(108))*-3)*-5.\nAnswer: 545*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0*-60.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13078*w**3 - 86*w + 2508*w**3 + 86*w.\nAnswer: -10570*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870220221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {m: 1, k: 1, w: 2, s: 1, e: 1, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**3 - 4*t**3 - 2*t**3 + 5*t wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11486 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2 - 8. Suppose -g + f*g - 39 = -5*p, 0 = -2*g + 2*p + 60. What is the tens digit of (10\/(3 + -1))\/1*g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:01 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270674 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1565 divided by 474788\nAnswer: 1565\/474788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**6\/40 - 87*m**5\/16 + 9*m**4 + 354*m. Determine b so that v(b) = 0.\nAnswer: 0, 1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(40\/(-45)))\/((-15)\/160*-8). Let h(u) = -10*u - 5. Let o be h(-8). Calculate the greatest common divisor of o and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*s - 24112 = 0, -101*h + 3*s = -104*h + 24168. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1474 divide 51414356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(22\/6 - 3). Let l(k) = 1. Let u(d) be the second derivative of d**3\/6 + 2*d**2 - 351*d. What is m*u(q) - 2*l(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 161394 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 + j. Let x(r) = -7*r**3 - 5*r**2 + 6*r - 1. Let g be 6 - ((-11 - -20) + -4). What is g*x(o) - 5*t(o)?\nAnswer: -2*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*n + 3*n. What is the units digit of n\/4 + (-27)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 72 - 64 - f**3 in the form k*f + r*f**2 + j*f**3 + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1247426 (base 9) to base 12\nAnswer: 28a296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 + 80. Which is the closest to 0.1? (a) -0.2 (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67\/423 + 3\/47. Is x at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 58, 146, 270, 430, 626?\n\"Answer: 18*v**2 - 2*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Suppose -2*c = h*c + 3*w + 8, -c + 3*w = 16. Sort -3, c, 0.2 in descending order.\nAnswer: 0.2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) 3\/19 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2)*(-3 - 0). Let n be (-14)\/2*(g - -2). Let f be 2\/n - 90\/70. Which is the third biggest value? (a) f (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2829134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -15 (b) 8.72 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20767630 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10000100?\nAnswer: 10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + -1 + 0 + 3. Let g(r) = -10*r + 25. Let x(z) = -7*z + 17. Let p = 579 - 574. Give p*g(v) + y*x(v).\nAnswer: -v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641052333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0031 + -31.0031. Sort 1\/4, 2, -0.1, h.\nAnswer: h, -0.1, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 654276488 by -2.\nAnswer: -327138244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4463161\/18885 + 2\/6295. Let j = 243 + r. Find the common denominator of -16\/11 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34 - 38 - (-26)\/6. Let g(o) be the third derivative of 0*o + o**2 - 7\/24*o**4 + 0 + a*o**3. Find the first derivative of g(h) wrt h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - (-2 - -6 - 11). Find the second derivative of c**2 + 1 + h*c + 10*c - 35*c - 5 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262 or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 23*x + 3*j = 175056, 6*j = -24. What are the prime factors of x?\nAnswer: 2, 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -54, -104, -16 in increasing order.\nAnswer: -104, -54, -16, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*a**5 - a**3*f + a**2*f + 3*a**2 + 62*a*f + 7*a + 2*f wrt a.\nAnswer: -500*a**3 - 6*a*f + 2*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29642991 and 2?\nAnswer: -59285982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45, 176, 407, 750, 1217?\n\"Answer: 2*b**3 + 38*b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/19 + 86*w**4\/19 + 642*w**3\/19 + 1034*w**2\/19 + 476*w\/19 = 0. What is w?\nAnswer: -34, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 25 = 0, 4 = 3*x + c - 9. Let v(o) = o**2 - 5*o - 1. Calculate v(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -5)\/((-2)\/(-4)). Let i be u*((-8)\/3 - -2). Solve 5*v - 11 = v + 3*x, -2*x - 6 = -i*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58182820 minus 2802.4?\nAnswer: 58180017.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2836+1688\nAnswer: 1687.7164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 27 + 3*a**2 + 29.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + -9 + 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**4\/12 + 67*z**2. Let a(s) = -92*s**2. What is v(a(q))?\nAnswer: 184*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3774470106 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/8 - 33*c**2\/8 - 255*c\/8 + 289\/8.\nAnswer: -(c - 1)*(c + 17)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*q - 2*q = -20, -4*k + 33 = 5*q. Let o = 4 - -1. Calculate the smallest common multiple of k and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2784\/180)\/(-4) + 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -3 + 12\/3. Let m(f) = -f**3 - 2*f**2 - f - 2. Let b be m(-2). Let x = b - 0. Solve x = k - 3 - d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 61*g**2 + 232*g + 91. Let n be k(-65). What is the highest common divisor of 364 and n?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j = 37*j - 1020. Calculate the lowest common multiple of 16 and j.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by 2?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3842222 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.019, -0.1?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -10002?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25675252 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6790702, 13581399, 20372098, 27162799, 33953502?\nAnswer: 40744207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147965 and 505?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11*74\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 742 = -3*h - 0*h, h = -5*y + 243. Let r = 88 + -57. What is the highest common divisor of r and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0 (b) -159 (c) -24 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -702739597 + 0.2?\nAnswer: -702739596.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**4\/12 - 7*m**3\/6 + 3*m**2\/2 + 8*m - 12. Let f(a) be the first derivative of q(a). Does 2 divide f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(500) - (sqrt(500) + -3)))**2*5.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -25. Solve q*a + 0*g = -2*g + 10, 4*a = -3*g + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -99, 195, -14 in decreasing order.\nAnswer: 195, 5, -14, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-36)*(-18)\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 - 0.15. Let p = v + 0.03. What is the closest to -3\/7 in -3, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 88.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o - 195 = 0. Find the common denominator of 15\/11 and o\/4 + -4 + 3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*o + 35, 0*w + 21 = -2*o - 3*w. Let t = 443 - 28353\/64. Calculate the common denominator of t and (-9)\/(-27)*(o\/4 - 0).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 635707, 635711, 635715?\n\"Answer: 4*i + 635703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 4*v - 2*v)*(3*v**2 - v**2 - v**2) - 12*v + 12*v - 12*v**3 + (-1525*v - 35*v**2 + 1525*v)*(3*v - 2*v + 0*v).\nAnswer: -45*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -271*o**4\/4 - 1427*o**3\/2 + 1322*o**2. What is the first derivative of q(x) wrt x?\nAnswer: -1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 8:39 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/4 + 5*v**4\/2 - 3*v**3 - 5*v**2\/2 + 11*v\/4 = 0. Calculate v.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 22 = -2. What is the tens digit of -1*(-3)\/(-12) + 1669\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*w + 5*w + 3*w)*(30*w - 164 + 164).\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 7. Let a be b(3). Find the common denominator of (-17)\/(-5)*14\/(-8) and a\/(80\/(-73)) - -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*h**3*m + 48*h**2*m - h**2 - h wrt h?\nAnswer: -498*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10433752 to the power of 1\/2, to the nearest integer?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**2 + 30*i**4 + i**2 - 33*i**4 + (2 - 3 - 2)*(4*i**4 + i**4 - 4*i**4).\nAnswer: -6*i**4 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(77) - sqrt(77)*2 - sqrt(77)) + sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(11).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 not equal to -0.09409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.287 + 1.183. Let b = h - 0.47. What is the biggest value in -1\/3, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-3 - -1)*17. Let q = u - -71. Calculate the remainder when 146 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-32))\/p)**(10\/7)*(p\/(p*p\/(p*p*p\/((p\/(p**4\/p))\/p))*p))**(-31) assuming p is positive.\nAnswer: p**(-1188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 26 = -111 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + (-28)\/(-5). Let i be (12\/32)\/(f\/(-4)). Suppose -22 = 5*h - 3*p - 0*p, 5 = -5*p. Which is the second biggest value? (a) h (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5891?\nAnswer: 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*f = 5478 - 5521, 248*f = -4*y - 1720 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/2*(-9586 + -152).\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -2)\/2 - 6. Let x(l) = -l + 10. What is the remainder when 27 is divided by x(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 2\/27 (c) 0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, m: 2, w: 5, a: 3, f: 1, i: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/251 + -484\/2259. What is the third smallest value in -0.4, 3, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9666, 19204, 28706, 38154, 47530, 56816, 65994?\nAnswer: 75046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 76759.9041 to zero dps.\nAnswer: 76760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 130? (a) -2\/5 (b) -0.1 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.1, -1, -1\/8, 0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = 0, 2*j - 154 = -3*o + o. Let q = j - 71. Solve -4*f - 4*n + 16 = -0*f, -q*f - 15 = -2*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -25.3, 0.5, -3, 0, -20, -119?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/160 + o**5\/80 + 659*o**2. Suppose t(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.190791 milligrams?\nAnswer: 0.000002190791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 22 + 2 + 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 418250297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -12. Suppose 4*z + 22 = 2*m, 10*m - 5*m = -3*z - a. What is the greatest common divisor of 9 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24140\/(-30175))\/(88\/10)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/1008)\/(2\/(-156)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 - 2*p - 17 + 2*p + 92 - 75.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acu when three letters picked without replacement from capppuuauauupupaaapa?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.2 (b) 1 (c) 1\/2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*u = -336 - 293 - 36. Solve -5*q + 9 = 4, b - 4*q = -u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -11, -1\/2, -81, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479419 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4.6. Suppose 0 = d - 3*d. Which is the smallest value? (a) d (b) z (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 22*f**2 - 6*f + 3. Determine s(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 181.4 and 0.007.\nAnswer: 1.2698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.84014 rounded to 0 decimal places?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 38 = 42 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5301 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32406217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 - 8)*(-3 - 2*y + 3) + (1 + 2 - 1)*(-2*y - 2*y + 5*y) - y + 0*y + 4*y - y + 2*y - 12*y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-20)\/120)*6\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.024119 * -0.006.\nAnswer: -0.000144714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1 - -4 - -1. Let a = 4 - 0. Let x = -4 + a. Solve x*j = c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-30)*((-77)\/88)\/(-7)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14103 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -15547.\nAnswer: -4\/15547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3319*l + 96251. Determine d(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 158*r + 41340. Calculate o(-261).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 5.4172076.\nAnswer: 10.8344152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -211*p - 21. Let b be d(8). Let w = 4366 + b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*a - 3 - 40*a**2 + 39*a**2 - 115*a as z*a + v + k*a**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -1297?\nAnswer: 129a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*t = -4*f - 93, 2*f - 4*t - 92 = 0. Suppose 6*d - 2*d + f = 0. Find the common denominator of -61\/12 and d + 16 + 56\/(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -45*z**2 + 21. Let g(r) = 8973*r. Determine j(g(u)).\nAnswer: -3623162805*u**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*o = -o - 8, 5*o - 1 = 3*p. Let u be (p - -14)*(-1)\/(-3). What is the second derivative of 5*w**3 - u*w**3 + 2*w + 0*w wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99459096.\nAnswer: 2, 3, 11, 29, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15376 and 3776?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 9*u**3 - 20 + 46 + 29*u**3.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 27 = -4*x, -18 = -5*x + c + 3*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12024 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639677 is divided by 4285?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 2. Let v be c(0). Let f be 2\/1 - v - -110. Let w(i) = i**3 - i**2 - i - 4. Let l be w(3). What is the highest common factor of f and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s. Let o(f) be the second derivative of -f**4\/24 + 5*f**2 - 12*f. Let b(t) be the first derivative of o(t). Determine k(b(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 612, 688, 874, 1206, 1720, 2452, 3438?\nAnswer: 4714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -641924336 by 160481084.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -6 - (4 + (9 - -4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -843*m**2 + 31193*m - 82. Calculate i(37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2. Let c(g) = 29*g + 35*g + 3*g - 4*g. Calculate c(o(l)).\nAnswer: -126*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 26. Let i = l + 10. Let y = 19\/2 + i. Which is the second biggest value? (a) 3 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -333, -688, -1041, -1392?\n\"Answer: z**2 - 358*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11\/5 - (-1)\/(-5) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*h - 207 = 123, 3*u + 2*h - 490 = 0. Let i = u - 50. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366 and 3662.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1597)\/(-5) - (-2)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 4. Suppose 0 = 4*o + 2*x - 6, 5*o - 3*x = -15 + 50. Let q(n) = n**3 - n**2 + n - 4. Let l be q(o). Calculate the greatest common factor of l and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1886367?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 5*r**2\/2 + 25*r + 6. Calculate the least common multiple of 6 and u(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/4 (b) 0.3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/8)\/((-1383)\/(-33192))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.43 + -0.34. Sort 1\/6, -0.04, w.\nAnswer: -0.04, w, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:38 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -0.1, 586, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 230 - 227. Determine i, given that -102*i**3 + 124*i**3 - 183 + 3 + 20*i**4 - 600*i + 535*i**2 + 203*i**c = 0.\nAnswer: -6, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 32*m**2 + 31*m - 36. Let x be h(-17). Suppose 3*c - x = 0, -4*r = -6*r + 4*c + 2750. List the prime factors of r.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 12:18 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -5) + -9 + (47 - 15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1351\/46 or -28?\nAnswer: -1351\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**7\/84 - 7*z**4\/12 + 5*z**3\/3 + 37. Let w(u) be the third derivative of p(u). Find the first derivative of w(a) wrt a.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4283*u + 471. Calculate a(0).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j**3 + j**2 - 2*j - 2. Let b be u(-1). Suppose -3*c - 6*s + 4 = -s, -s = -3*c + b. Solve c = 4*l - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8600000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14875?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42075716.\nAnswer: 2, 47, 79, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -23638?\nAnswer: -260018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (51 - 52)\/((-3)\/3). Let r = -25 + 24.8. Which is the nearest to n? (a) r (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40553, 40531, 40501, 40463, 40417, 40363?\n\"Answer: -4*j**2 - 10*j + 40567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 + 0*c**2 - 2*c**2)*(3*c + 2 - 2) + c**3 + 0*c**3 + 0*c**3 to h*c**2 + n*c + j + z*c**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30354826 to 3 dps.\nAnswer: 0.304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16751 divided by 186\nAnswer: -16751\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*q**3 - 76*q**3 + 156*q**3 - 2*q**2 + 0*q + 14*q**4 + 2*q to the form f*q**2 + c*q**3 + g*q + s + v*q**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 351 + -356.68. Let d = i - -6. Let y = -0.4 - d. Round y to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 33. Let x(f) = 103*f**2 - 14*f + 8. Let y(g) = 86*g**2 - 15*g + 9. Let d(h) = 5*x(h) - 6*y(h). Determine d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2172 or -2094?\nAnswer: -2172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 248*f - 231*f + 2*f**2)*(-8*f**2 - 7*f**2 + 4*f**2).\nAnswer: 11*f**4 - 187*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 31\nAnswer: 24\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -37. Let l be (-2668 - -2667)\/(34\/70 + 4\/(-14)). Let v(z) = z**3 - 3*z**2 + 3*z + 4. Let k(m) = 2*m**3 - 5*m**2 + 5*m + 8. Give i*k(a) + l*v(a).\nAnswer: a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3183354 and 2122236?\nAnswer: 6366708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1105*v**2 - 21003*v - 3. Determine p(-19).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/((-2)\/(-2) - 2). Let u = -2 - i. Suppose 2*t = v + 7, v - 138 + 139 = 0. Calculate the remainder when u is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26325 - 1803 = -12*j. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 27289 = 6184. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 531\/118 + (-6 - ((1 - -1) + -2))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42)\/sqrt(6))**2 + sqrt(7) - sqrt(7))*-6 - ((2 + sqrt(847))**2 + sqrt(7) - sqrt(7))) + -3 + -5 + ((sqrt(56)\/sqrt(2))\/sqrt(4))**2.\nAnswer: -894 - 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 27*v = 82. Let k = v - 37. What is the second derivative of q + 0*q**4 - 14*q + 5*q**k wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62292 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173 - 173.16. Let a = b - -0.1388. Round a to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 124, 132, 152, 190, 252?\n\"Answer: z**3 + z + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4 - 1 + 2 - 11*w as k + c*w and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/30 + (-387)\/135.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33323331 (base 4) in base 11?\nAnswer: -45053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-14)*(3\/6)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -287*x**3 - 246*x. Let o(w) = -11*w**3 - 2*w**2 + 3*w + 2. Let i(t) = 28*t**3 + 5*t**2 - 7*t - 5. Let v(a) = 2*i(a) + 5*o(a). Give b(u) + 246*v(u).\nAnswer: -41*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 35\nAnswer: -17\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 + 101101000010002?\nAnswer: 101101000000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-509)\/27 - (-1935 - -1916).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 25695821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3 (base 13) in base 5?\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4532241 to the power of 1\/2, to the nearest integer?\nAnswer: 2129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**8\/3360 + z**6\/180 + z**4\/3 - z. Let b(o) be the third derivative of f(o). What is the second derivative of b(x) wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 584 * 132\nAnswer: 77088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2\/3. Factor p*i + 2\/9*i**2 + 2.\nAnswer: 2*(i + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 10*r - 7. Let u be n(9). Suppose 2*t - u = 8. Suppose 70 = t*m - 10. Calculate the greatest common factor of 24 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) 0 (c) -5 (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 387713769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*w + 2 = -3*g, -5*w - 5 = -5*g. Let t(r) = -8*r + 2*r + g*r + r**2 + 8*r. Let s be t(-11). Calculate the highest common factor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 - 2 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine thirds of a day?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 = t + 5*v, 4*t = 2*t - 2*v + 1156. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000529491168 rounded to 7 decimal places?\nAnswer: 0.0000529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-27 - (-21 + 19) - (1 - 7)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 556.6 + -862. Let z = 305 + t. Let n = 376 - 2628\/7. Which is the nearest to -1? (a) z (b) n (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-1))\/((-1200)\/180). Sort 25, 3\/7, q, 1.\nAnswer: 3\/7, q, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 4, 2\/5, 64?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4317 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 3607?\nAnswer: 1803.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1451 divide 1632456256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225 + 259 = 7*u. Let p = 261 + u. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n - 26. Suppose -14 = -k - 5*b, -2*b = -5*k - b + 18. Let j be q(k). Let r be (-10)\/(-15) - j\/3. Solve -2*t + 4*y + r = 2, 5*y - 1 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(50) - (sqrt(50) - sqrt(50)*3)) + (-1*sqrt(600))\/sqrt(12))\/(-6*((sqrt(360) - 1*(sqrt(360) + 2*sqrt(360))) + sqrt(360))).\nAnswer: 17*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 1\/14, 2, 3102?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 11 = -5*b - 2*u, 3*b - 3*u - 6 = 0. Suppose 0 = -b*a - 3*z - 6, 3*z = 5*a - 6. List the prime factors of (a - -11)*(-4)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 2. Let x be g(-2). What is the second derivative of 0*t**4 - 2*t**4 - 4*t + x*t wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 14*t**2 + 17*t + 19. What is m(-13)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 958 + -957.5. What is the smallest value in -5, 5\/8, x, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*g + 15 = -g, -3*m + 2*g = -25. Find the second derivative of -27*q - 30*q**m - q**4 + 23*q**5 + q**4 wrt q.\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 922 in 3, 1\/3, 442?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 358, 1139, 2334, 3943, 5966, 8403?\n\"Answer: 207*k**2 + 160*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21*b. Let d(x) = -5*x**2 - 6*x - 6. Let o(j) = -9*j**2 - 11*j - 11. Let n(w) = -11*d(w) + 6*o(w). What is n(q(i))?\nAnswer: 441*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 4069794?\nAnswer: 1627917.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 14*r**6\/15 + 8*r**3\/3 + 18*r. Find the second derivative of x(b) wrt b.\nAnswer: 336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 123, 222, 321?\n\"Answer: 99*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -s - 2*l - 112, -20*s = 4*l + 60 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1 - 9 + 2*m - 3*m + 5. Let q = 2 - 2. Calculate a(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 3*n + 18, 261*n + 82 = -3*z + 283*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 19*v - 17. Let i(j) = -3*j**2 - 2*j. Suppose -d - 5 = 4*s - 0*d, 4*d = 12. Let w be i(s). What is the units digit of k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -v + 6*v + 320, -4*v - 2*q = 250. Let h = v + 80. Differentiate h*u + 7*u + 29 - 31 with respect to u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/2 - 5455*l**4 + 3087061*l**3\/2 - 1538075*l**2 = 0.\nAnswer: -11186, 0, 1, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610.4973 months to years.\nAnswer: 50.874775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 7:15 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711736.1 rounded to the nearest 1000?\nAnswer: -1712000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89 - (-55000)\/616)\/(53\/7)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 28.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:14 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 66.6. Which is the second biggest value? (a) -0.3 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) - (-96)\/15. Let b = -163 - -178. What is the highest common divisor of x and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -24*i + 1 - 2 - 1 - 2. Let h be l(-2). Is 6*(-3)\/(-6) + h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26621 - 26618. Solve 0*n - 3 = -q*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00130725 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -51, -4.\nAnswer: -51, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and ((-6)\/(-6))\/(2\/180 - 0).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.3 + -125.1. Let u = -330 + 214. Let q = r - u. Round q to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105) - sqrt(105)*-3)*-5)\/(-4*sqrt(7)*1))\/(((-1*sqrt(15) - sqrt(15))*4 + sqrt(15))\/(-1*sqrt(245))*-2).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 - 33*a**2 - 28*a - 65. Let p(u) = -2*u**3 + 16*u**2 + 13*u + 33. Let y(g) = -3*h(g) - 5*p(g). Let l be y(-18). Solve -l*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537386 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 - 18*y**2 - 4*y - 30. Let p = 15 + 87. Let k = 90 - p. Let x be i(k). What is x rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -113.108\nAnswer: 45.2432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -2*h**5\/3 - h**4\/24 - 2429*h**2. Let m(y) = -13*y**2. What is 7*m(z) - 2*w(z)?\nAnswer: -11*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -37 + -27 + 0 + 55\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3432*y - 5*i = 3433*y - 20, y + 4*i - 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/18 and -17\/380.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -65?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -11. Let a = z + 20. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*q - 10, -5*g + 3*q + 21 = 2*q. Suppose g*n + 22 = 42. Is 3 + (1 - n) - -147 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(171) + 1)**2 - sqrt(171)\/(-2*sqrt(81))) + 2.\nAnswer: -35*sqrt(19)\/6 + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71.7, -1, 11.24, 2\/9.\nAnswer: -71.7, -1, 2\/9, 11.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 1 - 1\/15*v**5 - 9*v + 1\/3*v**4 - 8*v**2 + 8\/9*v**3. Find y, given that f(y) = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2)*q)\/q)**(-7\/6)\/(q**(2\/5))**(6\/5))\/((q\/(q\/q**(-4)*q)*q**(2\/3))\/(q\/(q**(-2)\/q))**(3\/7)) assuming q is positive.\nAnswer: q**(2357\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -6851 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-5) - (231\/(-35) + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48308613, -96617224, -144925835, -193234446, -241543057?\nAnswer: -289851668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21, 1.1, -2\/11, -0.02?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**5\/20 + 5*v**4\/6 + v**3\/6 - 5*v**2\/2 + 6*v. Give c(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/(-25) + 426\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -128228, -128101, -127976, -127853, -127732?\n\"Answer: -a**2 + 130*a - 128357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + m + 0*m)*(163*m**3 + 52*m**3 + 63*m**3) to the form u*m + k*m**2 + b*m**4 + t + h*m**3 and give b.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 11784)*(40\/16 + -3). Suppose -7682 = -25*r + a. What are the prime factors of r?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13112200 - 3?\nAnswer: 13112131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -4*h**4\/3 + 17*h**3\/6 - 160*h. What is the second derivative of l(p) wrt p?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 878*o**2\/5 + 1337712*o\/5 + 54981216.\nAnswer: -2*(o - 1135)*(o + 348)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t, 0 = -5*q + q + t + 137. Suppose 5*j = -5*v + q, -3*j - 22 - 5 = -3*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1329766 divided by -58.\nAnswer: -22927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29640)\/(-70))\/(-12) - -4*4\/56?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 741157 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568574?\nAnswer: 2, 3, 7, 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2142 and 133\/36?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**2\/7 - 108*y\/7 + 486\/7.\nAnswer: 6*(y - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000079787 rounded to seven decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24445 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46.6 (b) 0.1 (c) 5 (d) -1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 380 + 125*w - 205 - 175.\nAnswer: 120*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/6)\/(311619\/492030)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 9\/7, 1\/5, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 + -148. Solve 0 = -x + 5*c + t, 4*x = -c + 3*c - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.2, -36.9, -2\/3, -0.87?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11772\/45)\/((-1)\/(-5)). Let m = q + -863. Suppose -g + m = 4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -603.19 to the nearest ten.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 628993722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331013 is divided by 329785?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*j = -219*j + 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16.122, 3.8, -0.02?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1802*h - 1091. Let s be l(1). Calculate the highest common factor of 79 and s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 421, -10, -3, 154, -7, 1 in decreasing order.\nAnswer: 421, 154, 1, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 4\/7 (c) -0.6 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294241.\nAnswer: 294241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621600 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1827\/40310*(-4)\/(-30) and 13\/30.\nAnswer: 20850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgbb when four letters picked without replacement from bggiigllllb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1476 and 3708.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k - 1. Let v(p) = p**3 - 3*p**2 - 2*p + 59. Let a be v(0). Let d = 58 - a. Give o(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201326519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j*k**2 + 6*j*k*r - j*k + 16155*j + 2069304*k**2*r - 3*k*r - 31*r wrt k.\nAnswer: 10*j + 4138608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8 + 14*y + y**2 + 2*y + 1 - 5*y. Is t(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1 = -7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -g + 7 + 6, b - 7 = g. Suppose -7 = -3*t - 1. Let p be 1\/t - 27\/12. Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/28 and -21\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*-2)\/(sqrt(90)\/(2*sqrt(9))) + -5 + 1 + sqrt(176)*3.\nAnswer: -4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/11 - 2\/(220\/37 + -6).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:19 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049.\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 223255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.17 + 0.07. Suppose -3*g - 3*x + 18 = 0, 11 + 1 = 2*g - 5*x. Let n be (-7)\/(-6) + g\/(-9). What is the nearest to c in n, -1, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391 is divided by 120.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-180 + 86 - -40)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300626178 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-5) + -4 + (51 - 45). Find y, given that u*y**2 + 8\/5 + 8\/3*y + 2\/15*y**3 = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171080 and 136864?\nAnswer: 684320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*(-35)\/252*-3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*v - 0*v. Suppose v = -11*o + 21*o. Factor o*y + 0 + 3\/2*y**3 + 3\/4*y**2 + 3\/4*y**4.\nAnswer: 3*y**2*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 3*f**6\/40 - 11*f**4\/12 + 73*f**3\/2 + 394*f**2. Find the first derivative of s(d) wrt d.\nAnswer: 27*d**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 - -167.4. Let s = 3.6 + k. What is the third smallest value in 5, 3, s, 1\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8*g = 9*g + 39, 4*i = -5*g + 33. Solve 0 = 2*o - i + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/7, 4, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tth when three letters picked without replacement from {h: 1, l: 1, j: 1, t: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -47.1699. Let v = q - -0.17. Let p = -0.031 - v. Round p to three dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -1\/9 (c) -0.2 (d) -0.202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 1165 - 1066 = 4*s, -6*s + 181 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g. Let i(a) = 10810 - 10810 - 1471*a**2. Determine i(q(d)).\nAnswer: -23536*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-1)\/(-45) - 4\/(-9).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + 2.6. Let c = p + -3.081. Round c to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 4:52 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b - 5*b + 12*b + 15*b + 2 - 2 - 2*b + (2 + 3 - 3)*(0 + 2*b + 0).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1548, 3726, 5924, 8148, 10404?\n\"Answer: c**3 + 4*c**2 + 2159*c - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 121000. What is h rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -89*q. Let m(k) = -2*k + 6. Let r(b) = 4*b - 11. Let v(o) = 11*m(o) + 6*r(o). What is j(v(h))?\nAnswer: -178*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 20, 33, 50, 71?\n\"Answer: 2*a**2 + 3*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q + 10. Let d(z) = -5*z + 88. Let w(x) = -d(x) + 2*r(x). Calculate w(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**2 - 8*q. Let b(o) = -8*o**2 - 9*o. Suppose 5*g - 3*g - 12 = 0. Let a(y) = g*z(y) - 5*b(y). What is the second derivative of a(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2718 and 0.4.\nAnswer: -2717.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20699 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1725, 1720, 1715, 1710?\n\"Answer: -5*m + 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 9:10 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 927, 934, 943, 954?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17304 - 18482. Which is smaller: a or -1171?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*l**3 + 7*d*l**2 - 33*d*l + 9*l**3 - 7*l**2 - 80*l wrt l?\nAnswer: 18*d*l + 14*d + 54*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 553 + 4?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 2*v**2 + 1. Suppose 2*w - 72 = 6*w. Let p be 32\/w + (-2)\/9. Calculate h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**24\/(r*r\/r**(-3\/29)) assuming r is positive.\nAnswer: r**(635\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49982992 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457.415 minutes in seconds?\nAnswer: 87444.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from ccdciiccdccccncqcc?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33492)\/22328)\/(3*57\/(-48))?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*h - 74, 90*i + h - 17 = 92*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i = 2. Let y be 14 - (1 + -1)*i. Let k = y + -3. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1581 divided by -3.\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0804 - -0.2078. What is g rounded to 3 dps?\nAnswer: 0.288","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*b = -7, 2*t + 5*b + 13 = 5*t. Let g(f) be the first derivative of 0*f - 1\/2*f**2 - t. Let n(y) = -3*y. Calculate g(n(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/70 and 89\/108230066.\nAnswer: 541150330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 302241220 (base 5) to base 15\nAnswer: 18e1e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -1 + 3)**2 + sqrt(833).\nAnswer: 35*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7890122 to the nearest integer?\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -0.318, 2, -0.5.\nAnswer: -0.5, -0.318, -2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)*w)**(-50) assuming w is positive.\nAnswer: w**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2. Let j(z) be the second derivative of -1\/6*z**3 - 3*z + 0 + 0*z**2. Determine j(i(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0801890911 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -14 - (-4 - -19) - (-16 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 525?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(15\/10 - (-133)\/(-84)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 2:19 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5808417124 plus 0.6?\nAnswer: 5808417124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 2*l**5\/5 + l**4\/2 - 176*l**3\/27 + 76*l**2\/9 - 32*l\/9 - 66. Determine c so that k(c) = 0.\nAnswer: -4, 1\/3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = -5*m, -m = 5*h + m - 23. Suppose 2*a + 7*d = 2*d + 38, 0 = 3*a + h*d - 67. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1943580 - 4?\nAnswer: 1943576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101121020212011 (base 3) in base 9?\nAnswer: 11536764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 1\/19, 0, 0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -176837?\nAnswer: 176842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let s(i) = -q + 1 - i - 2. Give s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-342)\/(-54) + 1\/(-3). Solve 3*n - z*n - 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 3 + 3 + 10*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + 18 + -15 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -1403\/604?\nAnswer: -1403\/604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -13.35. Let m = h - -0.15. Put -3\/5, 2, m in descending order.\nAnswer: 2, m, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvz when three letters picked without replacement from {j: 2, v: 2, z: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1491 + 1514. Put -5, -1\/3, t, 5, 3 in descending order.\nAnswer: t, 5, 3, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 1 - (-3 - -3 - 6349). Suppose 2132 = -6*k + r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2) + -2 + (sqrt(55)\/sqrt(176) - sqrt(5))**2.\nAnswer: 13\/16 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20347992 or 20347996?\nAnswer: 20347992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 336080460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -93628.\nAnswer: -93627.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 541329798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352229617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from jljjjljljlj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 38221*m**2 + 42063*m - 14. Let o(a) = -7644*a**2 - 8443*a + 3. Let q(u) = -14*o(u) - 3*v(u). Find the second derivative of q(t) wrt t.\nAnswer: -15294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 3629951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -5*o**3\/3 - 1. Let v(x) = 104*x**2 + 10*x + 5. Let g be v(-4). Let l(d) = d**2 - 1629*d + g*d. Calculate l(m(y)).\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 1. Let b be 13\/5 + (-6)\/10. Suppose 4*x - 13 = -a, b*a - 5*a - 5*x + 25 = 0. Let w(t) = -4*t - 2 - 2*t + 4 - 3. What is a*w(q) - 8*n(q)?\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*c + 2*m + 11, 0 = -c + 5*m - 205 + 403 - 172 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -0.035, -336.68 in increasing order.\nAnswer: -336.68, -0.035, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3374, -3365, -3342, -3299, -3230, -3129?\nAnswer: -2990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 5. Let t be a(-4). Which is smaller: -7 or t?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + -1 + -5.\nAnswer: -6 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 7, 14, -0.2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 1584 = 10*v. Is 49 a factor of (v - (-3)\/(-1)) + (-2)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -22*p + 4. Let l(i) = 22*i - 3. Let z(k) = 3*a(k) + 4*l(k). Let r(u) = -u + 63. Let q(t) = t - 45. Let x(h) = 7*q(h) + 5*r(h). Determine x(z(o)).\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 1, p: 6, o: 4, m: 3}. Give prob of picking 2 m and 1 u.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101071, 202116, 303149, 404164, 505155, 606116?\nAnswer: 707041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406938.\nAnswer: 2, 3, 7, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -734*a**2 + 3*a - 3. Let z(n) = -2952*n**2 + 13*n - 13. Determine -9*h(x) + 2*z(x).\nAnswer: 702*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579561?\nAnswer: 3, 61, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2299 or -2363?\nAnswer: -2363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.237 + -193.763. Let u = a + 200. Sort 3, u, 5 in decreasing order.\nAnswer: u, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16.36, -5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {e: 5, o: 12, q: 1}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 179.3?\nAnswer: 149.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*d + 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 (3\/(-1))\/(-6)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + s + 24. Let n(c) = c**2 + 12*c - 11. Let h be n(-13). Suppose o = -h*o. What is the tens digit of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 91\/(-35) + 3 - 387\/5. Let k = 110 + l. Calculate the greatest common divisor of k and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14639255415705 - 14639233408857.7999684. Let n = c + -22006858. Let r = n - -10.8. What is r rounded to six dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 2. Let z be q(0). Calculate the highest common factor of z and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 less than 11505.89194?\nAnswer: 11506.31194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 906369 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(77) - (-1*sqrt(77) + sqrt(77))) + sqrt(77))*-5)\/sqrt(7)*4)**2 + 1*sqrt(33)\/sqrt(3)*2*5.\nAnswer: 10*sqrt(11) + 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/6)\/(54\/(-810)) - -15?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104269074\/11 or -9479007?\nAnswer: -104269074\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 0.3 (c) -26 (d) 5 (e) 520 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -0.126, 2?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4. Suppose v + z*v = 15524. Suppose -u = -9476 - v. What is u rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41, 139, 295, 503, 757?\n\"Answer: -b**3 + 35*b**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 + -12.7.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 8:24 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -285925865?\nAnswer: -285925865.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65910 and 767520?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**2*z**3 - 45744729*r**2*z**2 + 836*r*z**3 - 2*z**3 + 11692 wrt r?\nAnswer: -6*z**3 - 91489458*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = -80. Let t(z) = z + 17. Let q be t(-13). Suppose 2*r - 4*r - 2 = -2*f, 0 = q*r - j. Solve f*n - 2*n - 6 = 0, -5*u = -n - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 203 = -32*g + 743 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-6)*(2 + -80) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l. Let n(b) = -18*b + 132. What is n(j(p))?\nAnswer: 36*p + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 3. Suppose -24 = -3*c + 2*z, -35 = -5*c + 3*z + 7. Solve 0 = 3*a - c, l*w + 2*a - 9 = a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2695719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (145000\/(-425))\/25 + 14.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284644 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104005 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*c = 164*c + 14. What is the smallest common multiple of c and 17?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(sqrt(136) + (sqrt(136)*-1 - sqrt(136))) + sqrt(136))\/sqrt(8) + 2.\nAnswer: -sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 0*p**5 - 2*p**5 + (30 - p**3 + 49*p**2 - 49*p**2)*(-2*p**2 - 4*p**2 + p**2).\nAnswer: 3*p**5 - 150*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m - 1. Let n(r) = -r. Calculate 2*l(u) - 6*n(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 96781 + 66?\nAnswer: 96847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - p + 6 - 26 = 11*h, 0 = -3*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 + -130. What is the fourth biggest value in z, -3, -1\/6, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7759441 + 7759441 + 4*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/15 - 13\/30. Let u = 211845 + -211845.8. Which is the second smallest value? (a) o (b) u (c) -0.3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzqqggggcgqcqccqq. Give prob of picking 3 g and 1 c.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 0*k - 37 = -2*v, -15*k + 50*v - 7*v - 44*v = 59 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-1) - 16\/8. Let i be 0*k\/(3\/1). Solve 6 = 3*d - 3*p, i = -4*d + 3*p + 2 + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00059366 rounded to five dps?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 23*p**2)*(p - 3*p + 3 + p).\nAnswer: 23*p**3 - 69*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 3.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 538954560 and 808431840.\nAnswer: 1616863680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162367.\nAnswer: 17, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - -5) + 8\/(-2). Let b = 3 + -2.5. What is the nearest to -1 in b, -1\/10, u?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 8. Let o be c(-4). Suppose -6*w + 2*w + o = 0. Solve 0 = -2*h - 2*x + 12 + 2, x = h - w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 - -104. Suppose -2*j + 3*u = u - 148, 3*u = 2*j - 148. Calculate the remainder when j is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doodocuudooooood. Give prob of sequence coou.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 7:45 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8)*b**(-2\/9)*(b\/((b**(-1\/2)*b*b)\/b)*b)**(-8\/15) assuming b is positive.\nAnswer: b**(-406\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -710320*z**6 + 22*z**2 - 869 wrt z.\nAnswer: -85238400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(76) - (-2 + -1 + sqrt(76))**2)*3*-5.\nAnswer: -210*sqrt(19) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 7. Let o = -6534 + 6544. Let f(s) = -2*s - 3. Determine o*f(c) - 4*m(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, l: 4, o: 1, j: 2}. Give prob of sequence llt.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a)**26\/(a**(-26))**(-2\/3) assuming a is positive.\nAnswer: a**(260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w**(-1\/6))\/w*w)\/w)**37)**(-3) assuming w is positive.\nAnswer: w**(-185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -47, 10, -4 in ascending order.\nAnswer: -47, -4, 10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. Suppose 4*c - 4 = -c - 3*d, s*c - d = 8. Differentiate x**c - x**2 - 2*x**4 - 1 with respect to x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 902 by -35.\nAnswer: -902\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 15*i + 10. Let h be w(-7). Let r(q) be the first derivative of -4\/21*q**3 + 0*q**2 + 0*q - h. Find n such that r(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16200 + 16203. Put o, -3, 42, 4, -2 in descending order.\nAnswer: 42, 4, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 12 = -7*u. Let i be (-2 - u\/(-4)) + 1. Solve 0 = i*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -983*m**2 - 2*m + 790. Let g(r) = -983*r**2 - 3*r + 792. Let o(s) = -2*g(s) + 3*v(s). Differentiate o(n) wrt n.\nAnswer: -1966*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4101 is divided by 675?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18d472f + 2b?\nAnswer: -18d4704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 25. Let d be o + ((-8)\/12)\/2. Let u be (-2)\/(-1 - -3) + 1. Which is bigger: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 4) to base 9.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 41.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2141253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.0662345 rounded to 2 dps?\nAnswer: -11.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) 3 (c) -0.7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 14. Let u(j) = -j**3 - 3 - 3*j**2 + 2*j**3 + 0*j**3. Is u(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - 0.6. Let b = c + 2.04. Let d = -0.26 - b. Does 1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from oomnlooojovnmjmjml?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -170. Let w = r + -110. Solve 0 = -8*g + w*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = z - 20, 5*h + 3*z - 788 = -749. Solve h*u = -69*p + 65*p + 35, -25 = -4*u - p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57155 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1093296 is divided by 362326?\nAnswer: 6318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + s**3 + 0*s**3 - 4*s - 5*s**3 + 4*s + (519 + 8*s - 519)*(2 - 2 - 2*s**2) + 2*s**3 + s**3 - 2*s**3.\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 817\/7 + -117. Is z <= -683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (0 - (-12)\/7)\/((-48)\/(-168)) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t. Suppose 9*g + g = t. Solve g*j = -j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/9453 and 145\/12.\nAnswer: 37812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1083*z**5\/20 + 583*z**3 + 2855*z**2. Find the first derivative of f(x) wrt x.\nAnswer: 6498*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*o**2 - 8 - 41*o**2 + 5.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/851664 and -131\/24?\nAnswer: 851664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 796678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -488049, -976098, -1464147, -1952196, -2440245, -2928294?\n\"Answer: -488049*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 667*r**2\/3 + 1271*r\/3 - 42 = 0.\nAnswer: -2, 63\/667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -2.1, -10, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11619*o**3 + 12093*o**3 - 22216*o**3.\nAnswer: 1496*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1618\/5 (b) -2 (c) -5\/6 (d) -2\/9 (e) 36 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.50892 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25146\/(-108) + 2)*(-9)\/135 - 15.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 115 + 4. Suppose -3*c = -7*c, 25 = 5*b - 2*c. Solve 0 = -4*u - b*w + 16, 5*u - o = 2*u - 5*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n + 15*n - n - 11 - 3*n as p*n + j and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*n**2 + 0*n + 1\/3*n**4 + 0 + 1\/3*n**3.\nAnswer: n**2*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24542297597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-630)\/112 + 6\/(-16) + 1483 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/16*-10*(12 + 2736\/(-225)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -3*z**2\/2 + 9*z - 9. Let b be d(4). What are the prime factors of (-665)\/(-20) - b\/4?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462944 is divided by 6909.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11708708*y**2 + 3484299*y.\nAnswer: -23417416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5672000 to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - -0.18. Which is the biggest value? (a) 3 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - f - 2*f + 2 = 0, -2*w - 5*f = -3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - (((-1120)\/(-390))\/14 - 3). Let q = -1110\/13 + 1152\/13. Determine c so that -160\/13*c**2 - 128\/13*c - p + 18\/13*c**5 + q*c**4 - 40\/13*c**3 = 0.\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32709, 32711, 32713, 32715, 32717, 32719?\nAnswer: 32721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5460)\/(-13))\/14)\/((-3)\/(-1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100001 + 202110100?\nAnswer: 122010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 5. Let b be h(-6). Let y = -11 - b. Solve y = -2*c - 1 + 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83.05 - 0.95. Let x = 85.14 + y. Let k = 1.13 - x. Is -1\/4 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*l + 50*l - 8*l in the form o + s*l and give s.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2 (c) 35\/6 (d) 95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*x**2 - 35*x - 3089?\nAnswer: 34*x - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-1)\/17 + (-18832904)\/(-17884)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) 4\/27 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 231199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -8. Suppose -6*a + a - 5*p = -15, 0 = -d*p. Find the second derivative of 3*k - a*k - 2*k**3 + 2*k + 4*k**3 wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920.8912mg in tonnes?\nAnswer: 0.0000009208912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 451228348 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-10))\/(28\/70). Let k = 0 + c. Let t(y) = 3 + 1 - 7 - y. What is t(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 82*m**2 + 733*m + 63. Calculate i(11).\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1042 - 1042.603. Let s = l - -0.6. What is s rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {i: 4, k: 4, r: 8, v: 2, g: 1, o: 1}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-2)*-2 + (6956\/74)\/(-47)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13621 (base 10) in base 16?\nAnswer: -3535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbb when three letters picked without replacement from xbxxxxmbmmmdxxxbbdm?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*n - 85*n. Let o = 12 + -20. Put -4, n, o in increasing order.\nAnswer: o, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*z - 63*z + 3*p = 52, 0 = 3*z + 7*p + 76 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 m, and 1 q when four letters picked without replacement from {h: 1, g: 2, m: 4, j: 1, q: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/16*((-6)\/9 + (-1)\/(-6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**(5\/7)*o**(-5\/6)\/o**(-2\/17) assuming o is positive.\nAnswer: o**(-227\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14544 rounded to three decimal places?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -633 - 627 - 3*m**2 + 1222 + 3*m as t*m + a + h*m**2 and give a.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:47 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-9) - (7 + 27\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(567) - (sqrt(567) - sqrt(567)*3)))**2 + (sqrt(567) + 0)*-5.\nAnswer: -45*sqrt(7) + 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 11683931.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 + 2*w - 62. Let s(z) = -3*z**2 + z - 63. What is -3*a(x) + 4*s(x)?\nAnswer: 3*x**2 - 2*x - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*q - 9. Suppose -2 = -z + 3*j - j, -4 = -2*z - 5*j. Suppose -v = -2 + 3. Sort z, q, v in decreasing order.\nAnswer: z, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95.55805 to 0 decimal places.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 8 + 2*n - 3 - 15*n. Let j be -1 - (-32)\/(-3) - 1\/3. Calculate the least common multiple of 5 and o(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1680*d**4 + 153126644*d**3 - 335063096*d**2 + 57241580*d + 729192 = 0.\nAnswer: -91149, -1\/84, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6756586279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 3*g**2 - 7*g**2 + (-2*g + g + 3*g)*(g - 5*g + 3*g))*(4 - 2 + 0)*(-2 - 1 + 4).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a millisecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73, 72, 69, 64, 57, 48, 37?\n\"Answer: -c**2 + 2*c + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + -190.826831237.\nAnswer: -177.826831237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.795537nm to micrometers.\nAnswer: 0.007795537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 33\/1052081 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 5. Let j be 1 + 1 - 3 - (-30)\/15. Sort w, j, -0.3.\nAnswer: -0.3, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5585*j + 3212. Give s(0).\nAnswer: 3212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*i**3*n**3 - 4*i**3*u**3 - 5237*i**3*u - 4*i**2*n**3*u**2 - 2624*i**2*n*u**3 + 7*i**2*u**3 wrt i?\nAnswer: 1020*n**3 - 24*u**3 - 31422*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59838503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -c6399 (base 13) in base 16?\nAnswer: -570c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 10*a - 5. Let i be y(9). Let p be (i\/6)\/((0 + 1)\/12). Solve 4*w = 2*w - p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 6:10 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*k*s - k - 127669*s + 203744 wrt s.\nAnswer: 4*k - 127669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1857889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*p + 213927 = -172*p - 87803. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -4 - (1 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/12 and -73\/1036?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 140666?\nAnswer: 1265994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 4*g**4\/3 - 4*g**3 - 20*g**2 - 41*g. Let d(j) be the first derivative of l(j). Differentiate d(a) wrt a.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4491 - 11656 = 17*s - 3788. Which is bigger: -5823\/8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4153880?\nAnswer: 2, 5, 113, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1502519 and 35467?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6)*64\/224.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10\/3)\/(j*j*j**(-1\/35)))\/(j\/(j\/((j*(j*j**(2\/39))\/j)\/j))*j*j**3) assuming j is positive.\nAnswer: j**(-4257\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 247, 246, 245, 244?\n\"Answer: -g + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 517007167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 2 s when four letters picked without replacement from {s: 3, b: 1, h: 2, j: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 1. Let a(h) = 3*h**2 + 4. Let r be 1 + 1\/1 + 2 + -8. Determine r*y(p) - a(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/17, 3\/2, 3\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2334)\/(-5835)*5\/(-3)*(2 - 0 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 5*y - 6. Let i(q) = -q**3 + 7*q**2 + 2*q - 10. Suppose 39 = 5*p + 4. Let r be i(p). What is a(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 68. Suppose 0 = 5*c - r - 12. Let j = c + -6. Calculate the remainder when 37 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 10. Find the common denominator of (-48)\/70 - t\/14 and (-4)\/(16\/(-58)) + (-1)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2697955*m**3 + 2*m**2 + 5108418*m - 2?\nAnswer: 16187730*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3 (c) 0.3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(2\/(-1)*1). Let w = y + -2. Calculate the least common multiple of 1 and (-2)\/(-2) + w\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let d(f) = 47*f**2 - f**2 - 7*f**2 + 11*f**2. What is h(d(t))?\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 207881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -11*m**4\/24 + 79*m**3\/2 - 55*m**2. Let d be w(21). Let z(b) = b**2 - 3*b - 9. Give z(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -0.9 (c) 0.6 (d) -0.3 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = i + 197, 2*d - 3*i + 67 - 460 = 0. Solve -45*p + 78*p + d = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 329418*y - 329418*y - 293*y**3 + (y**2 - y**2 - 3*y**3)*(-3 - 2 + 4).\nAnswer: -290*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k + 3. Let a be y(9). Let v = 115 + a. Suppose -5*q = 2*h + 3*h - v, q = 3*h - 29. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.001949l to millilitres.\nAnswer: 1.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 30.719917 and 2.4?\nAnswer: 28.319917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 34849629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 - 118. Let h = 850 - 810. What is the remainder when k is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 equal to 14\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30404 - -30403. Sort 0.2, -203, -4, 0.1, v in ascending order.\nAnswer: -203, -4, v, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:26 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 5. Let d be h(-5). Let b(i) = -i**2 + 13*i + 17. Let l(j) = -4*j**2 + 39*j + 51. Let t(c) = 7*b(c) - 2*l(c). Let k be t(-11). Does d = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24650 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -17*w + 83. Let k be q(7). Let u = -34 - k. Solve -5*h + 3*v = -12, -h + 20 = u*h - 5*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.43020745 rounded to 4 decimal places?\nAnswer: -8.4302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.31 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u + 10. Determine g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7)\/(p*p**(-2))*(p**(-3))**(-18\/13) assuming p is positive.\nAnswer: p**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7035 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/3 (b) -2.08 (c) 0.3 (d) 1 (e) -507\/2 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*s**4 + 201*s**3 + 275*s**3 - 1104*s**2 + 79*s**4 - 22 - 42 + 496*s + 56*s**4.\nAnswer: 4*(s - 1)*(s + 4)*(7*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 55080.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1281 - 1279. Suppose 5 = -3*o - 2*o, -2*q + 29 = -5*o. Solve w = -n*w - q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -346, -1174, -2796, -5482, -9502?\n\"Answer: -45*o**3 + 8*o**2 - 13*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/9 (b) 129 (c) 36 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 7*p**2 + 7*p - 2. Let l = -40 + 46. Let u be k(l). Solve u - 1 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32560 divided by -1480.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 1, 16, -14, -77 in decreasing order.\nAnswer: 16, 7, 1, -3, -14, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 d, 1 i, and 1 u when four letters picked without replacement from dggeewiwu.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.0652 + 3.9652. What is the closest to p in -3\/8, -120, 0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -0*k - 228. Suppose 53 = b + d, -k = -b - d + 3*d. What is the greatest common factor of b and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + j**2\/3 + 5*j\/3 + 1.\nAnswer: -(j - 3)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 16 = 4*i - 4*s, -2*i = 5*s - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020 (base 4) to base 8.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4120 divided by -824?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 30. Let r be l + (0 - (-3)\/(-1)). Find the third derivative of -11*a**5 + r*a**5 - 15*a**5 - 14*a**2 wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 545 = -685. What is the smallest common multiple of 8 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3\/4 (b) 0.1 (c) 1\/3 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 4. Let s(u) = -7*u - 8. Let o(v) = -7*r(v) + 4*s(v). Let p = -5 + 2. Let a(w) = 13 - 6*w - 10 + 3 - 9. What is p*o(k) + 4*a(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -81*v - 2287. What is the smallest common multiple of h(-83) and 4?\nAnswer: 4436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 7*v + 30. Let d(j) = 2*j**2 - j**2 - v*j**2. Let y(n) = 2 - 2 - 2*n**2. Determine d(y(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 1 - (sqrt(605) - sqrt(605)*2) - ((sqrt(320)*-2)**2 + 4).\nAnswer: -1283 + 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*y - y - 18, 0 = 3*f - 2*y - 9. Let a = f + -14. Find the common denominator of (-2)\/(2 - 30\/a) and -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 1. Let p be 8\/(-10)*(-15)\/(-2). What is the units digit of h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1497535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 48076.\nAnswer: 96152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1693 divided by -3.\nAnswer: 1693\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-2) + (-41)\/(-6) and -99\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.6 - 97. Let z = q + 53. Round z to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-248)\/(-3))*228\/(-684)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24147 - 24146.85247. What is m rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*l**3 + l**4 + 2\/3 + 1\/3*l - 5\/3*l**2.\nAnswer: (l - 1)**2*(l + 1)*(3*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3378*w**2 + 2. Let n(q) = 48*q. Calculate n(t(k)).\nAnswer: -162144*k**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 14. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92148421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from mmlezleo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 56 (b) 77 (c) 0.3 (d) 40\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/7 + 119956*u**3\/7 + 1798560282*u**2\/7 - 3597480440*u\/7 + 1798800200\/7 = 0. What is u?\nAnswer: -29990, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*37.35393.\nAnswer: -18.676965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 12 = -13*p. Let c(d) = d + d - p*d. Let a(b) = -7 + 26 - 6 - 13 - 4*b**2. Give a(c(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 6 + -6 + 0 + (3 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 3. What are the prime factors of d(9)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110323 (base 4) to base 2\nAnswer: -10100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2442*l**6 + 1423*l**3 + 14*l**2 + l - 242010?\nAnswer: -293040*l**3 + 8538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*h = 0, 69*h + 18 = -8*n + 70*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 7*t = -48. Suppose t*z + 6 = 10*z. Is -5 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -1\/24*q**4 + 24*q**2 + 0*q + 28\/15*q**5 + 0*q**3 + 0. Is x(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -62047517?\nAnswer: 62047517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70\/22 - (0 + 6\/33). Suppose s*i - 30 = -39. Is 2\/(-8) - ((-5391)\/(-4))\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b\/(b*(b*b**(1\/32)*b)\/b))\/b*b))**(1\/9) assuming b is positive.\nAnswer: b**(11\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2 - a. Let w be q(-1). Suppose -86 - 50 = 34*n. Put -5, n, -1, w in ascending order.\nAnswer: -5, n, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1677438485 and 0.5.\nAnswer: 1677438485.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -411 + 420. What is the smallest common multiple of 33 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**4\/4 - 2*o**3\/3 + o**2 + 4960. Determine m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -34 (b) -0.3 (c) 0.4 (d) -2\/5 (e) 77 (f) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.2 + 0.2. Which is the second biggest value? (a) -0.5 (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1708220920 divided by 5.\nAnswer: -341644184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b - 10*b + 19*b - 2258*b**2 + 8880*b**2 to the form j*b**2 + v + s*b and give j.\nAnswer: 6622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 - 1 + 4*v**2 - 12*v**2. Let r be 644\/35 - 2\/5. Suppose -3*y + 0 + r = 0. Let m(x) = 2*x**2 - x - 3. Calculate y*o(p) - 2*m(p).\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/450)\/(4\/(-10)) + 33770\/2400 + -14.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2571225?\nAnswer: 3, 5, 34283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 132.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16397, -32796, -49195, -65594?\nAnswer: -81993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 392 = 3*c + m, 4*m = -2*c + 278. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 299 - 76. Calculate the highest common divisor of h and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -662*a + 1683 + 2289 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m*p**2*v**2 + 12559541*m*p - 6*p**2*v**2 - 1094334*p*v**2 wrt m?\nAnswer: -2*p**2*v**2 + 12559541*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 30*g**2 - 101*g + 61. Let v be h(33). What is the fourth smallest value in 67, -1, v, -1\/2?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(2\/3)*c)**6)**(-8))**(-9))**49 assuming c is positive.\nAnswer: c**35280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6085 is divided by 559?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = m + 11431, -3*l - 4*m + 1386 = -10025. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + 7*u + 3. Let m(a) = -1. What is 4*m(c) + n(c)?\nAnswer: 3*c**2 + 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209 - 339. Let u be ((-44600)\/l)\/(2\/1). Let w = u + -172. Which is the smallest value? (a) -0.5 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 849056 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 - 78. Let v = -4 + 12. Calculate the lowest common multiple of v and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b + 26*b + 20*b - 17*b + 3.\nAnswer: 42*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15054 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27524616 a multiple of 8623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + 4*z)*(-4 - 2*z**4 + 4) + (-2 - 1 + 5)*(1 - 3*z**5 - 1) - 130*z**5 + 292*z**5 + 355*z**5.\nAnswer: 507*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -35, -4508, -19 in ascending order.\nAnswer: -4508, -35, -19, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 153, 667, 1181, 1695, 2209, 2723?\n\"Answer: 514*n - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118978 and 589?\nAnswer: 118978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/8 + 3\/(-4). Solve 3*l - 3 = n*x, 4*l + 0*l + 36 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*b = -2*v + 1330, 100*v + 130*v = 233*v + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 2*r**3 - r**3)*(-6089*r + 6089*r - 763*r**2).\nAnswer: -1526*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269828 is divided by 851.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 7. Let p(n) = 0*n - 2*n + 0*n + 2 + 6. Let b(m) = -6*m**2 + 12*m - 12. Let x be b(1). Calculate x*h(d) + 5*p(d).\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369.971 hours in milliseconds?\nAnswer: 12131895600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 10*x - 5. Let t be o(-5). Suppose 27*r - t*r = 728. Let b = r + -96. Calculate the smallest common multiple of 44 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 21*a. List the prime factors of d(13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.187, 10, 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 950663 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41673.66 rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**5\/5 - 24*o**2 - 74*o + 20. Find the first derivative of w(n) wrt n.\nAnswer: -4*n**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.0805 less than -0.809?\nAnswer: -139.8895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2022, 4755, 8188, 12315, 17130, 22627, 28800?\nAnswer: 35643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10969, 21883, 32761, 43585, 54337, 64999, 75553, 85981?\n\"Answer: -3*y**3 + 10935*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205580 is divided by 499.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*m - 108 - 7, -2*a = m - 40. What is the lowest common multiple of m and 18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*a + 3, -2*a = i + 4*i + 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*a - 4 = 0, 4*z + 0*z - 22 = -3*a. Suppose -u - z*u + 85 = 0. What is the remainder when 50 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvuuvvduuuudu. Give prob of sequence vd.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)*p)**(-14\/11)*(p\/((p*p**(-2\/5)\/p)\/p))\/(p*p**(-1\/4)))**49 assuming p is positive.\nAnswer: p**(39641\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19325171 is divided by 862.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.43597 tonnes in nanograms?\nAnswer: 48435970000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 11.28?\nAnswer: 1.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*h**3)*(-5 + 2 + 1) + 64*h**3 - 67*h**3 - 4*h - 6*h to the form u + g*h**3 + n*h**2 + b*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 12912945371409?\nAnswer: 12912945371409.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + f - 3 + f - 1 + 1 + (-4 + 2 + 0)*(0*f - 2*f + f) + f + 2*f - f)*(-2362*f + 1953*f - 8401*f).\nAnswer: -52860*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.3227*131\nAnswer: -304.2737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -0.06 (c) -4 (d) -12.584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409801 is divided by 409666.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bab when three letters picked without replacement from bbbbbbbbbbbbbababbbb.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/(-4)) + 322\/(-69).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -0.05772 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721258 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*x - 20 = 5*n, -20*x + 8 = -16*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12 + 9 + 6*s + 16 - 40 - s**2. Let j be d(5). Solve w - 23 = -5*p, w - 12 = -2*p + j*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3\/3 + f - 67. Let x(q) = -q**3 + 6*q**2 + 9. Calculate 6*p(v) - x(v).\nAnswer: v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -5 + (-60)\/(-6). Suppose 0 = -4*g - 3*c + 119, -g - k*g + 137 = -3*c. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.884726l?\nAnswer: 884.726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15677 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 23*q**2 + 21*q + 78. Determine k(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 5:00 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and 123886.\nAnswer: 4583782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 103. Solve -5*t = -8*t - g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -24*s**2 - 770*s - 4278. Calculate x(-8).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1637 (b) 2\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 11*q = -5*q - 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51524.53 nanograms in kilograms?\nAnswer: 0.00000005152453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**23\/(u*u**(-1)*u)**(-2\/47) assuming u is positive.\nAnswer: u**(1089\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*h + 35 - 24, 2*h = -5*j - 11. Sort 7, -0.5, 0.07, j in descending order.\nAnswer: 7, 0.07, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/3 - 1293*c**4\/2 - 28217*c**3\/3 - 28323*c**2\/2 + 12415*c\/3 = 0. What is c?\nAnswer: -955, -13, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**5 + f**4 + f**2 + f - 1. Let o(i) = -8*i**5 - 4*i**4 + 6*i**3 - 8*i**2 - 10*i + 10. Let a(v) = -20*d(v) - 2*o(v). Find k, given that a(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -23 - (197 - 226) - -80.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25416, -25415, -25414, -25413, -25412?\n\"Answer: v - 25417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b - 5*i - 5 = 0, 5*i = b + 15. Suppose -4*c + h + 97 = 0, -4*c - 11 = -b*h - 112. Solve -c = 5*d + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251615?\nAnswer: 5, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 4. Let q(k) = 4*k - 3. Let r be ((-6)\/(-7))\/(((-202)\/1414)\/(1\/(-2))). Determine r*q(n) + 2*b(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 1:18 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9295 + -9294. Which is the smallest value? (a) x (b) 1\/98 (c) -3 (d) 0 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 22 + 82 - 30 - 30.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-32))\/(((-12)\/10)\/(6224\/3890))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -8858?\nAnswer: 1\/8858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.08 + 12. Let w = 3.22 - x. Let y = -1.3 + w. Which is bigger: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 37 = -10*j. Let g = j - -32. What is the units digit of -4*g\/20 + 63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 326 = 5*d, -56 = -3*d + 5*i + 151. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1493651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 279*h + 325*h + 82*h - 154*h to the form g + o*h and give o.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43785 divided by -417.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51793 is divided by 1029?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/6)\/((-30)\/9*3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-14)*2*28. Suppose 0 = g*m - 29*m - 3. Let j(f) = -f + 1. Calculate j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6958 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffpfpffffff. What is prob of picking 2 f and 2 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - h + 139 = 3*h, -112 = -4*z - 3*h. Suppose 0 = -z*d + 46*d - 4020. What are the prime factors of d?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -0.5. Let i = y - -0.9. Suppose 3 = q, 5*m + 23 = 13*q - 12*q. What is the closest to i in 3, -1\/2, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439795, -879680, -1319623, -1759624, -2199683, -2639800?\nAnswer: -3079975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 136*o**2 + 2*o - 32. Let a(n) = -655*n. Calculate x(a(y)).\nAnswer: 58347400*y**2 - 1310*y - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:17 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 99*y**2 + 189*y + 491. Let s be k(97). Let f(v) = 14*v**2 + 6*v - 6. Let x(t) = t**2 - t + 1. Determine s*x(u) + f(u).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 1, -27 in decreasing order.\nAnswer: 7, 1, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 8*w = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3\/6*2\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -511.7 + 512. Which is the third smallest value? (a) s (b) 2\/83 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = v - 21, c = -990*v + 325*v + 331*v + 332*v + 87 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-1)\/(-1) - 2). Let u(f) = -f**3 + f**2 + 1. Let o(b) = -3*b**2 - b**2 + 3*b**2 - b**3. What is t*u(p) + o(p)?\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-234)\/(-9))\/(5 + 0 + -4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12878?\nAnswer: 2, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -769137\/25 + 30773. Is t != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*(-20)\/15. Let f = 0.7 + 0.3. Let q = f + -0.6. What is the nearest to -1 in m, -3, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/48 - 6\/(-8). Suppose c = 6*w - 40. Solve -w = -3*t + 2*v - 24, 3*v = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3 = -3*k. Let j = k - -8. Let t = -5 + j. Which is smaller: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w**2 + 12*w**2 + 6 - 47*w - 25*w.\nAnswer: -33*w**2 - 72*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5 - 1. Suppose 2*y = -v + 21 + 160, -935 = -5*v - k*y. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66703, -132915, -199127, -265339, -331551?\n\"Answer: -66212*x - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.0417, 1, -0.2 in ascending order.\nAnswer: -0.3, -0.2, -0.0417, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2808 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 g, and 1 l when four letters picked without replacement from glkkkdkuggkl?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 4*a**2 - 3*a**3 - 3 - a**3 + 3*a**3 - 5*a**2. Let p be u(0). Let w be (-5 - -5)*(p - -2). Solve s = -w*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155 - -160. What is the second derivative of -17*l + 67 + 26*l**2 + 23*l - 117*l**2 - t*l - 13 + l**5 wrt l?\nAnswer: 20*l**3 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(99)*-2)\/((sqrt(36)\/sqrt(4) + sqrt(9))*4))**2 + 4.\nAnswer: 339\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 114*s**2 - 3294*s - 3295. Calculate u(-1).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/73 + 519\/1679. What is the smallest value in s, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -229\/43680 and 22\/3255?\nAnswer: 1354080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-1 - -3) - (253 - 249)) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 5544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1228*s = -1209*s - 4465. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 4*y**2 + 9*y + 1. Suppose 3*x = -0*x - 18. Let c be n(x). Suppose c + 11 = 3*i. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17906, 35809, 53690, 71549, 89386, 107201, 124994?\n\"Answer: -11*q**2 + 17936*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0.4, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 1806?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-1072)\/128)\/(2\/(-56)). Which is greater: w or 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200839457 to the power of 1\/2, to the nearest integer?\nAnswer: 64814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 11*w - 5. Let n be c(-9). Let t(g) = g**3 - 14*g**2 + 13*g + 3. Let f be t(n). Solve -f = -0*h + 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 31 = -5*u - 26, 0 = 2*u + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) + (-7)\/(-3). Suppose 2*u + i*l = l - 8, u = 3*l - 11. Put 2, 1\/6, u in increasing order.\nAnswer: u, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-9))\/(-14)*(-30)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.7 to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -286, -284, -280, -274, -266?\n\"Answer: n**2 - n - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*n + 4561, 5*x = -3*n - 0*x + 2718. What are the prime factors of n?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.151, 599, 2\/19?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzl when three letters picked without replacement from {r: 3, k: 7, z: 6, l: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3821116 (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.135 and -0.2.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + 5 + -3 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3278091, -6556493, -9834895?\n\"Answer: -3278402*v + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(sqrt(832)*4)**2.\nAnswer: 39934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1120 and 376656.\nAnswer: 3766560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i**3 + 10287*i**2 + 10287*i**2 + 10285*i**2 - 21*i**3 + 0*i**3 - 30859*i**2.\nAnswer: -55*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -114, -51, -12 in descending order.\nAnswer: 5, -5, -12, -51, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 39. Suppose 3*u + 57 = -3*l, -4*l = r*u - l + 41. Are u and -17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976010 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21.517 and 1.\nAnswer: 22.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1117, -1, 5 in decreasing order.\nAnswer: 1117, 5, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 46*z**2 + 1428*z + 59. Calculate y(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5110952 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: Let j be -74 - (-21 - (11 + -24)). Is -69 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 355443 - -4?\nAnswer: 355447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 131058.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -z - 5*y, -3*y = -5*z + 23 - 1. Suppose -5*b - z*q = -7797, 3*q - 4675 = -3*b + 5*q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38696 - 18375. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 0.5, 52.\nAnswer: 0, 0.5, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34341 and -1.2.\nAnswer: -41209.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1779 by 1.\nAnswer: -1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2797211 or 2797214?\nAnswer: 2797211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -13*k**5\/10 - 4933*k**4\/4 - k + 1. What is the third derivative of f(d) wrt d?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.4*8.\nAnswer: 283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6024 and 12048?\nAnswer: 12048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*l - 60, -2*k + 25 = -k + 2*l. Suppose 0 = a - d - 1 + 8, 0 = -3*d + k. Let r = -0.05 - -0.15. What is the smallest value in 1\/6, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(-20 - -29 - 8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(399\/(-45) - -9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - n - n = 0, -5*n = 3*b. Let p = b + 0. Let j = -3197\/4 - -799. Are j and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(13)*1)**2 + sqrt(13) + 4 - (sqrt(325)*1*1*4)**2) + 3.\nAnswer: -5178 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: 6468.3 - -74597918\nAnswer: 74604386.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.413144 and 5?\nAnswer: 2.06572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 438*m + 8421. Is 39 a factor of v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29751589288 - 0.24.\nAnswer: -29751589288.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, and 1 o when three letters picked without replacement from xbvvvooxbov.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -57*p**3 + 4*p + 4. Let f(n) = -n - 1. Determine b(g) + 4*f(g).\nAnswer: -57*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20028 - 20022 - (-14 + 0 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*z + 20. Let d(g) = g + 5. Does 5 divide d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**2\/2 - 3*o - 20. Let u be w(-4). Put 0, 12, 4, u in descending order.\nAnswer: 12, 4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 15. Let s(i) = -i - 7. Let h(o) = -o**3 + 6*o**2 - 2*o - 1. Let t be h(6). Let g be (t\/2*4)\/2. Calculate g*s(m) + 6*n(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -121230?\nAnswer: -121227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 88 = -8*i. Factor 5*b + i*b - b**2 - 5*b + 12*b - 6*b + 18.\nAnswer: -(b - 18)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/12 at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 9 - -11) + (3 - -5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -3*a - 3*f - 17, -3*a + f + 9 = 0. Suppose 0 = a*j + 4. What is the third smallest value in 4, -0.06, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*sqrt(152)*-2)\/(sqrt(88)\/sqrt(176) + sqrt(8)).\nAnswer: -5 + 48*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -1, -3, 10, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -1, -2, -1\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3848967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(88\/(-2112)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + p - 4*p. Suppose p = -5*m - 5*n - 390, 0 = -0*m - 5*m - 2*n - 402. Let r = m + 255. Calculate the remainder when r is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 219260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -9*z - 20. Solve -h - 2 = x - 3*x, z*x = h + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 121*y**2 + 2506*y - 101. What is j(77)?\nAnswer: -2796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -5*l + 276. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1565*j**4 + 25*j**2 - 17*j. Let o(n) = 522*n**4 - 9*n**2 + 6*n. Let m(c) = 17*o(c) + 6*v(c). What is the third derivative of m(a) wrt a?\nAnswer: -12384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -20*d**2 + 2. Give n(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (1840 - 2) - -3. What is the units digit of (a\/(-85))\/((-1)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34209451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.28 - 0.28. Let c = 13.7 - 13.6. What is the smallest value in c, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-4 - -7) - 60. What is s rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -988460 plus -3985?\nAnswer: -992445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 0.3, -287?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 14549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*v - 12 = 0, 0 = 6*n - 2*n - 2*v + 6. Let z = 4 + n. What is the lowest common multiple of 2*z\/(-6)*-3 and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 155 = -5*v, -3*v - c - 412 = -18*c - 859 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a + 6*a**2 + 17*a**2 - 40*a.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -323045 by -5.\nAnswer: 64609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 3091*l + 77909. What is q(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/17)*d**(-24) assuming d is positive.\nAnswer: d**(-406\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11)*q*q**12)**(1\/32)*(q**(-2\/5)*q*q**13)**(1\/32) assuming q is positive.\nAnswer: q**(39\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -105*z**2 - 9833 + 123*z**2 + 9833. Let f(s) = 367*s**2. Calculate f(j(a)).\nAnswer: 118908*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 16*y - 30. Suppose b = 4*b + 4*u - 26, -2*u + 14 = y*b. What is the units digit of (-86)\/(-1) + (-4 - (b - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.62 rounded to one decimal place?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 27*i**3 - 51283*i**2 + 9061155*i?\nAnswer: -12*i**2 + 162*i - 102566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129591209\/43 - 3014007. Let w = -258 - d. Is w > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.8 or -72?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 24. Let i be n(11). Solve i - 3 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*g + 12, 2*u + 3*g - 1 = 2. Suppose 3*x = -2*x. Sort u, x, 0.5 in decreasing order.\nAnswer: 0.5, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124600 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1, -0.22 in ascending order.\nAnswer: -0.22, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 826*d - 216*d - 3660 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.5, -3.61, 1, 0.2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -831008*m. Let i(b) = -553*b. Give r(i(p)).\nAnswer: 459547424*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000538329 rounded to five dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 34\/15, -3\/4, -3, 3712, -2\/9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/48)\/((-18)\/(-8)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 98651, 197307, 295963, 394619, 493275?\n\"Answer: 98656*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000315 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2184\/10 + 39\/65. Suppose 221*o - q*o = 0. What is m in -2\/5*m**4 + o*m + 0 + 2\/5*m**2 + 1\/5*m**5 - 1\/5*m**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 + 930*v**2 - 107007*v + 2910124 = 0.\nAnswer: -1036, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 1.6313?\nAnswer: -3.3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*b - 12 = -50*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q**2. Let a be o(-1). Suppose -u = l - 12, u = -l + 3*l + a. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 10\/3 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265945 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3 - 1. Let n = 6 + q. Factor -2*x**2 + 1 + 3*x**2 - 2*x**n.\nAnswer: -(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.22 (b) -1\/2 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 17.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244987?\nAnswer: 17, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/5 (c) 4\/1809263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-6))\/(5 + 6261\/(-1251))?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-890)\/(-1335) + (-22)\/51 + (-48)\/(-374).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 55 (b) -3 (c) -37\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 59?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52158560 divided by -79510?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*h**2 - 17*h**2 + 0*h**2.\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 46, 47?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 25. Suppose -s - 2*s = 3, 3*s = -v*b - 31. Let q(c) = c**2 + 6*c + 1. Let f(t) = -t**2 - 5*t - 1. Let u(y) = 2*f(y) + 3*q(y). Calculate u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/50)\/(2\/(-4)). What is the fourth biggest value in -0.2, i, -2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**5\/150 - 13*u**4\/60 - 22*u**3\/15 - 66*u**2 - 2*u + 200. Let z(j) be the first derivative of h(j). Factor z(x).\nAnswer: -2*(x + 2)*(x + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14156 is divided by 562.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 603 and 2727.\nAnswer: 182709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/54 and -43\/126?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*p + 128*p - 66*p)*(-4*p**2 + 5*p**2 - 3*p**2) + 5*p**3 + p**3 - p**2 - 5*p**3 - 2*p**3 + p**3 + 3*p**3 + (2*p**3 - 3*p**3 - 2*p**3)*(0 + 3 - 4).\nAnswer: 42*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885398 divided by -2?\nAnswer: -1442699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:38 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g + 41764 = 164390. What are the prime factors of g?\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2731087.\nAnswer: -3\/2731087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*j - 4. Let u = -10 + 21. Calculate the remainder when u is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 623*f**3 + 1172. Let j(h) = -2*h. Calculate j(w(g)).\nAnswer: -3738*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5797.5 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 + -17 - -2) - (-11 + 9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -117, -239, -395, -579, -785, -1007, -1239?\n\"Answer: n**3 - 26*n**2 - 11*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 620 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -26*a + 22. Determine i(6).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:41 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138 or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*j + 5*x - 2, j = 5*x - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*o + 2*o. Let q = o - 42. Suppose -329 = -q*h - 2*z + 118, 444 = 3*h + 3*z. Is h a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2555476 and 616.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 2*q**5\/15 + q**4\/24 - 2*q**2. What is v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 58*u**2. Let i(v) = -2*v. Calculate d(i(f)).\nAnswer: 232*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/50)\/(-1)*(-1 + -9)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rry when three letters picked without replacement from {y: 6, r: 10, e: 4}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2 + 4*t - 1 - t**2 + 2*t. Let j = 11 - 16. Let m(p) = p**2. Let v(w) = j*m(w) - k(w). Calculate v(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**4\/12 - 24*f + 5. Let g(z) = 1308*z**2. Give g(l(k)).\nAnswer: 1308*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a**2 + 12*a - 43. Let h be x(4). Let z(c) = c**3 - 21*c**2 + 4*c - 26. Determine z(h).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/335 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/65 and -19\/117.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/790536 and -145\/72.\nAnswer: 2371608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.874535ml to litres.\nAnswer: 0.009874535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-186)\/(-8) - 8\/32. What is the highest common divisor of q and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476356775 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -6. Let l = -104 + 115. Let p = b + l. Sort p, 5, -2 in decreasing order.\nAnswer: 5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nooo when four letters picked without replacement from okkonkko.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340669, -681333, -1021997, -1362661, -1703325, -2043989?\nAnswer: -2384653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 3)*47*2. What is the common denominator of 19\/6 and (l - 3)*(-2)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 134?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 7*t + 8. Let m be -3 - (1 + -2 - -4). Let d be q(m). Factor 2\/5*r**3 - 2\/5*r**d + 0 + 0*r.\nAnswer: 2*r**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, 3, 5\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -0.141 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = x - 26, 4*m - 2*x - 50100 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -30. Suppose 4*m - 96 = 4*i, -5*m + 3 + 117 = 5*i. Calculate the greatest common factor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1005338061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1 + (-25)\/(-30)). What is the biggest value in a, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 323.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 351423258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 5*o - 609. Let i = -145 - o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*p - 72*p + 18 = -c, p + 4*c = 18 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 9*o**2 - 5. Let v be h(-9). Let i be 22 - v\/((-10)\/4). What is the highest common factor of i and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/7381 - 553609\/250954. Let b = -46657\/14730 + 2\/2455. What is the common denominator of h and b?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-4)\/2) + 6. Let x(j) = 7*j - 2. Is x(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -42. Suppose q*t - t = 3*t. Solve 2*j + 6 = p, 3*j = -t*j + 2*p - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (39\/6)\/(1\/14). Calculate the remainder when (-4)\/12 + i\/3 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1102 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(2\/29*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32 - -0.72. Let f = 0.73 - 1.73. What is the biggest value in -0.1, g, f, -11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 + 16 = 0. Let h be 3*1\/((-1)\/w). Suppose -2*q + 9 = -5*x - 9, -h*q + 8 = 2*x. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 964*a*o**2 - 161*a*o - 111403*a with respect to o.\nAnswer: 1928*a*o - 161*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -6)\/(0 - -2). Let d(m) be the first derivative of m**2\/2 + 4. Calculate d(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108998251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5 + sqrt(1700) + 1)*6 - (sqrt(1700)*1 + -5 + (-2 + (1*sqrt(1700) - sqrt(1700)) - sqrt(1700))))**2.\nAnswer: -2040*sqrt(17) + 61492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2718472 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2277 and 6578?\nAnswer: 59202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-16))\/(c*c**(-13))*c**(-4)\/((c**(-4\/7)\/c)\/c) assuming c is positive.\nAnswer: c**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005459084843 rounded to four dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -244 * 1.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/2)*p*p**(-8)*p**13\/(((p**(-7)\/p)\/p*p*p)\/p) assuming p is positive.\nAnswer: p**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 4*p + 7. Let b be j(-5). Let o = 183\/2 - 92. What is the second biggest value in b, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/1 + (-6 - -2). Suppose -42 = -g*m + m. Calculate the smallest common multiple of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (856 - 841) + 0 + -25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3107 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57584 is divided by 7052?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26088)\/2720*3215129\/(-2378673). Let s = p + -40395\/32036. Let j = -5\/1683 + s. What is the common denominator of -41\/8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**13)**(4\/15)*l**(-30)\/(l*l\/l**(-3\/7)) assuming l is positive.\nAnswer: l**(-3041\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-10)*2\/(12\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006537 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 + 6. Let p be (-4)\/14 - 10\/14. Let g be 1\/(p\/18*2). Let r = 9 + g. Calculate m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 1a2?\nAnswer: -1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61434 and 92151.\nAnswer: 184302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 5043.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47540611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5346?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34619 + 37739. What is the highest common divisor of i and 1716?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - -1 - 10952\/(-148) is divided by 73?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + (1 - (4 + -8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(-5) + 8\/40. Suppose -316 = -12*p + t*p. Let b = p - 7. What is the remainder when b is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (4 + -3 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2 + 4*p - 7. Let y be (10\/6)\/(-1 + (-8)\/(-12)). Determine h(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from jllwxjlhjxjbwlxwwxl?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20489 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 + -13 + 1 - -5. Let t = 7 + -3. Suppose -68 = -t*a - 4*p, 0*a + 3*a - 5*p = 43. Solve -q*f = -0*f - a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwtwxtxtbx. What is prob of sequence ttb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 92. Calculate the highest common factor of a and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*(sqrt(132) - sqrt(132)*2 - sqrt(132) - sqrt(132)) - -1*sqrt(132)*2)\/(sqrt(588) + (sqrt(588) - (sqrt(588) + sqrt(588)*2)*-4)))**2.\nAnswer: -55*sqrt(11)\/49 + 241431\/9604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.889647ug to grams.\nAnswer: 0.000003889647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1830, 1799, 1768, 1737?\nAnswer: 1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (0 - 8) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.4*-85044\nAnswer: -289149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 43*n + 1882. Determine p(-42).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/411350 and -37\/21650.\nAnswer: 411350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 312.843187 to 2 decimal places.\nAnswer: 312.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61280, 122587, 183898, 245213, 306532, 367855?\nAnswer: 429182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1031212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, u: 1}. What is prob of picking 3 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36565b (base 12) in base 2?\nAnswer: -11010110111101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 - -210. Let t be (2 + 15\/(-10))\/(1\/12). Solve -l + i*l = t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13934168357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74436509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 2\/3*r**3 + 0*r + 2 + 0*r**2. Let p(y) = -3*y. Determine p(k(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3041, -3226, -3411?\nAnswer: -3596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.57 - 0.57. What is the nearest to -1\/3 in 0.5, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 220. Let o(k) = k + 9. Let j be o(-3). Suppose 25 = -w + j*w. Calculate the greatest common factor of l and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 5*a - 2. Let x be n(3). Suppose 14 = -s + 2*y, 3*s - y = x*y - 37. What are the prime factors of (-40)\/(-5)*(-9)\/s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmddmd. What is prob of sequence mmdd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7866622, 62933039, 212399028, 503464375, 983328866, 1699192287, 2698254424, 4027715063?\n\"Answer: 7866631*c**3 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*z - 5*z + 375. What is the common denominator of -71\/40 and ((-2)\/4)\/(z\/170)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 5. Let b(z) = -1. Determine -12*b(s) + 3*j(s).\nAnswer: -6*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 0. Let r = 3 - w. Suppose 10 = q + 5*o, -50 = -r*q + o - 3*o. Calculate the greatest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {m: 2, r: 5, k: 12}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 5117628*x**3 - 2182489224924*x**2 - 17460159446304*x - 34920482657472.\nAnswer: -3*(x - 852942)**2*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1 + 3*l - 2 - 2*l. Suppose 5*n - 1 = 6*n. Let q be n + 0 + 2 - 6. Calculate m(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 5:25 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31270 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdefqdeedfqgde. Give prob of sequence dfee.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1573)*1 - sqrt(1573)) + -3 + sqrt(1573) + -5 + 1 + sqrt(1573) + 2*(1 + sqrt(1573))*-1)*-5*-5)**2.\nAnswer: 48400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 6\/((-972)\/(-3114)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 236, -4705\/6, 5\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245913953.\nAnswer: 23, 10691911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3237*q + 6529*q - 332864 + 5507 = 112113 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + h. Let z(l) = 8*l**3 + l**2 + 3*l. Determine 4*g(n) - z(n).\nAnswer: -4*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5896403?\nAnswer: 19, 83, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104*a**3*i**3*x*y**2 - a**3*i*y**2 - 2*a*i**2*x*y**2 - i**2*x*y - i**2 - y**2 wrt i?\nAnswer: -624*a**3*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1 + 8*(-45)\/(-72). Let u(c) = 5*c + 10*c**2 - 7*c + 24*c**2 - l*c**2. Let m(z) = -4*z**2. Determine u(m(d)).\nAnswer: 432*d**4 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37713\/4 - 9146. Let b = 282 - q. What is the closest to b in 4, 0, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 44*p - 30 - 23 + 85 + 39*p - 155*p.\nAnswer: -160*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -41. Let p be (-15 - -16)\/((-2)\/b). Let j(n) = -n**3 + 14*n**2 - 13*n + 8. Calculate the smallest common multiple of 1 and j(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15707942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)\/(sqrt(9) + sqrt(9)*2) - sqrt(57))\/(-2*sqrt(27)).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. Let m(h) be the first derivative of -5*h + h**2 + 5*h - 3 + 4. Give m(z(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5790 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2018472990 and 2018472991 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14899177.\nAnswer: 14899177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*d - 28, 6*d = 4*q + 2*d + 24. Suppose u + 1 = 2*w - 1, -5*w + 20 = 5*u. Suppose u*v + 15 = 5. Put v, q, 3 in increasing order.\nAnswer: v, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1574612?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.159 + -29.159. Let x = -34.22 + 0.22. Let q = x - d. Which is smaller: -0.3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1534987 (base 13) to base 10.\nAnswer: -6779377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14738030 at most as big as 14738029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(22\/9)\/(z**(1\/4)\/z**(-3)) assuming z is positive.\nAnswer: z**(-161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**6\/m))\/m)\/m)\/m**13*(m*m**4\/m*m)\/m*m**(-11) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 12288198, -3, -5, 4, 5 in ascending order.\nAnswer: -5, -3, -1, 0, 4, 5, 12288198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 851874.\nAnswer: 851859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -539 + 545. Let q(b) = b**3 - b**2 - b + 1. Let x(c) = -14*c**3 - 6*c**2 - 5*c + 5. Determine s*x(w) + 5*q(w).\nAnswer: 19*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -854ca1?\nAnswer: -854ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + u + 7. Let s(t) = -2*t**2 - 2*t**2 + 20 - t**2 + 2*t. Let x(d) = -11*k(d) + 4*s(d). Calculate x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/229 or 0.3009?\nAnswer: -54\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 90*l + 120956 = -508057. What are the prime factors of l?\nAnswer: 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471*t - 471*t + 4*t**3 + 8*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00183273 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/(-3)*(-5)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = 4*l - 485. Let j be l\/(-168)*2*2\/3. What is the second biggest value in 0.6, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74998, 74999, 75000, 75001, 75002?\n\"Answer: u + 74997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f**3 + 28*f**2 - 37*f - 31. Let l(u) = -19*u**3 - 35*u**2 + 38*u + 32. What is 4*l(w) + 5*q(w)?\nAnswer: -w**3 - 33*w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1400\/420*(-3)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*k - 80*k = 2*s - 4, -16*k + 5*s + 34 = 0. Solve k*c - 910 = -930 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.001679.\nAnswer: 0.0001679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*f - 302*f + 10 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o + 3. Let v be r(0). Let i be 52\/16 + 1\/(-4). Let h(x) = i*x**3 - 3*x - 1 + 5*x**2 - 4*x**3 + x. Give h(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 44*m**2 - m + 1. Let w be t(1). Suppose 6*p - w = 5*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10297031339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwpxmalx. What is prob of sequence amlx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 15. Suppose r*u - 21*u = 20. Let q(k) = 15*k**3 + u*k**2 + 21*k**3 - 35*k**3 + 4*k**2 - 1. Give q(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 23*r + 45. Determine t(-11).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 13, r: 3, y: 4}. What is prob of sequence rr?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2502 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 284 = -4*p, 36*x + 16 = 32*x. Let w be 3*20\/(-18)*45\/p. Solve 2\/3*q**w - 2\/3 + 0*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 36 = -14*j - 39. Let t = -6 + 6.3. Which is the fourth biggest value? (a) -0.2 (b) t (c) j (d) 0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/(-3*sqrt(6)) + sqrt(19) + 0 + 1*((2 + sqrt(19))*-1 + sqrt(19)))*3)**2.\nAnswer: -24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 2 - (-2 - 0). Let h = 3 + v. Suppose 6 + 6 = h*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 4, 1707, -4, -5.\nAnswer: -81, -5, -4, 4, 1707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtc when three letters picked without replacement from cqctttchtq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 790 and 158?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 58*r + 17. Determine h(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5718464 divided by 5718464?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20142045 + -3?\nAnswer: 20142042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-930)\/(-3348) + (-4)\/(-18))\/((-279)\/(-2728)).\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 832 and 8?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - ((-89 - -76) + 2 + 2)) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*d - 8 = -22, 8 = 2*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24512181 - 3?\nAnswer: -24512184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20211111202 (base 3) in base 13?\nAnswer: -492b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reireeereeerri. What is prob of sequence ree?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*k - 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 79*a**3 + 27*a**3 + 130*a**3.\nAnswer: 231*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5357, -5264, -5111, -4874, -4529, -4052?\n\"Answer: 4*l**3 + 6*l**2 + 47*l - 5414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 2, c: 4, d: 5, u: 1}. Give prob of picking 1 p and 2 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158593198 and 1902.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6434 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 4*u**2 - 4*u - 2. Suppose 0 = -4*s - d + 8, d = 4*s + s - 19. Let i be p(s). Sort 15, -3, 0, i in decreasing order.\nAnswer: 15, 0, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*g = -g + 4, -11 = -4*z - g. Suppose 0 = z*y - 589 - 1289. Suppose -4*t = 5*b + 2540, t + y = 2*b - b. Round t to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 56, 171, 394, 761, 1308, 2071, 3086?\n\"Answer: 6*a**3 + a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 123*-5\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3007 and 2?\nAnswer: -6014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 0.1, 5 in descending order.\nAnswer: 5, 0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**2\/2 - 15*n + 3. What is a(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30.31 or -0.06?\nAnswer: 30.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 1194*h - 351156. Calculate k(481).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193624562 by -1.\nAnswer: -193624562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363401.\nAnswer: 3, 13, 43, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17040 and 634404880?\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 456*o - 61*o - 9 + 7 as b*o + n and give b.\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 5703 = 952. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/9*282\/(-235). Let l = -32 + 27. Which is the nearest to i? (a) -4 (b) l (c) 1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51314462 is divided by 1252?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3800918 times 1.5?\nAnswer: 5701377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u**2 - 2 + 0 + 13. Suppose 42 = -7*r + r. Let b(d) = 363*d**3 + 363*d**3 - 725*d**3 - 7*d**2 + 16. What is r*w(p) + 5*b(p)?\nAnswer: -2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47472736261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35660281 divided by -35660281?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -567, -563, -549, -519, -467, -387, -273, -119?\n\"Answer: i**3 - i**2 - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:51 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-136)\/(-306))\/(4\/18). Suppose 4*m - 5 + 1 = 0. Sort m, s, 4 in descending order.\nAnswer: 4, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1665\/41668?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q - 2*q - q + (3*q + 4*q + 29*q)*(-1 + 0 - 1) + 0 + 0 + 2*q in the form l*q + k and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*w + 66*w - 74 - 28*w + 3*w**2 in the form n*w + h*w**2 + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141*j - 286*j - 2 + 150*j)*(-20 - 1 + 3 - 19).\nAnswer: -185*j + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26453238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.602 less than -5?\nAnswer: -106.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257607 is divided by 1814?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -7*z + 4*z + 21, -3*z = -3. Calculate the common denominator of -1 + -23*2\/(-40) and (-21)\/28*39\/d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*1 + (-9)\/9. Suppose 5*p = i*a + 60, 2*a = 4*a. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 15775\nAnswer: -1\/3155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12997*h**5 - 1840*h**3 + 82698302*h wrt h.\nAnswer: 259940*h**3 - 11040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -256.9 + 307. Let s = u - 49. Let q = -2.9 - s. What is the second biggest value in q, -0.4, -1, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1182.8 - -1183. What is the nearest to 2\/5 in 0.4, 4, -5, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*t + 12*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 3*a**2\/2 - 2*a - 2. Let v be f(2). Is ((-94)\/(-4))\/(2\/v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let r be 21\/18 - 2\/12. Suppose 2*o - r = 3. What is the second smallest value in f, o, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 (base 8) in base 3?\nAnswer: 1001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 30 = h. Suppose -h*r = -13*r. Solve r = -n + 3*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 411. Let m(x) = -85497*x. Give m(g(b)).\nAnswer: -256491*b + 35139267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7805 and 446?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 21*i**2 - 3*i - 7. Let q(g) = 4 - 350*g**2 - 212*g**2 + 552*g**2 + 2*g. Give 10*q(o) + 6*x(o).\nAnswer: 26*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)\/n**(5\/4))\/(n*n*n**(2\/17)*n**(-6)))**(-20) assuming n is positive.\nAnswer: n**(1485\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6199, 107, 1, 3, -3 in decreasing order.\nAnswer: 107, 3, 1, -3, -6199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14364 = 4*s - 2*f, -s = -5*f - 7186. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*a + 4*o, -3*a - 5*o - 39 = 35. Let z be (a\/(-4))\/((-1)\/6). Let l be 22\/99 + -2 + (-129)\/z. Solve 14 = -2*p - 4*m, 4*p + 4*m + 14 = l*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 3*t**2 - 2*t - 3. Suppose u - 1 = -w + 3*w, 0 = -2*w - 4. Let p be z(u). Calculate the remainder when ((-3)\/2)\/(p\/(-82)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 554565 and 2033405.\nAnswer: 6100215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.019 + 0.481. Sort k, -2\/5, -1, -2\/15 in increasing order.\nAnswer: -1, -2\/5, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -799, -3165, -7107, -12625, -19719, -28389, -38635?\n\"Answer: -788*h**2 - 2*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/5 + 24*v**3\/5 - 36*v**2\/5 - 136*v\/5 - 78\/5 = 0.\nAnswer: -13, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-1 - (-1 + -1))) + 7 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2) + 0 + 1 + 4 - (sqrt(288) + 1 + (sqrt(288)*1 - sqrt(32))))**2.\nAnswer: -266*sqrt(2) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 54738450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0 - v**2 + 4*v + 0 + 3. Let i be -24*(-16)\/128 + -6. Determine u(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + -0.11. Let v be (-19)\/(-76) - 42\/232. What is the biggest value in v, y, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7403 and 2167?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3393.4 minus -0.37?\nAnswer: -3393.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/20 - z**4\/6 + 6*z. Find the third derivative of m(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + -4.97. Let o = 0.861 + 0.099. Let k = -0.96 + o. What is the nearest to k in 0.4, -4\/5, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21dcdee0 - -5?\nAnswer: 21dcdee5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -23*s - 60. Let a be c(-4). What is the first derivative of -35 - 21*i**3 - 6*i**3 - 19 - a*i**3 wrt i?\nAnswer: -177*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190667341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-220.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65359 is divided by 32657?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 6 - 6. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 - 70*q**2 - 8*q + 280 = 0. What is q?\nAnswer: -2, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4273218, -8546439, -12819662, -17092887?\n\"Answer: -n**2 - 4273218*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(108)*3*4*3)**2 + 4.\nAnswer: 559878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 m, and 1 b when four letters picked without replacement from {e: 2, p: 2, b: 1, m: 8}?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, f: 8}. What is prob of sequence fhf?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 - k**4 + 0*k**4 + (4*k**3 + 0*k**3 - 3*k**3)*(-2 + 2 - 2*k) + 9*k**4 - 3*k**4 + 4*k**4 + k**4 - 2*k**4 + 3*k**4.\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 0.016, 5.\nAnswer: -5, -0.3, 0.016, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/12 + o**3\/6 - 2*o**2 - 3*o. Let a be q(-3). Suppose 0 = -3*d + a*d. Solve -5*w - 2*x = -d*x + 23, w + 7 = -x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3\/3 - 56*j**2\/3 - 28*j\/3 + 104.\nAnswer: -4*(j - 2)*(j + 3)*(j + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398847, -398951, -399055, -399159, -399263, -399367?\nAnswer: -399471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 4*b - 4*y - 64, -3907*y + 1953*y = -5*b - 1956*y - 57 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4500 + 224?\nAnswer: 5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -207, -4, -2, -5, 255.\nAnswer: -207, -5, -4, -2, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/232*4\/2?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.084 * -92.98\nAnswer: -7.81032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 186*f + 2270. What is s(-12)?\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 776\/(-156))\/(3\/(-18)). What is the second smallest value in -38, a, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oylololo. Give prob of sequence lo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/h)**(17\/2)\/(h**(-1\/7))**(-15) assuming h is positive.\nAnswer: h**(-625\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-83300)\/58310)\/((-5)\/(175\/2))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 5. Let x(d) = d**3 - 8*d**2 - 22*d + 25. Let t be x(10). Calculate the remainder when -3*(0 - 12) + t is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6521 - -333328845.\nAnswer: 333322324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 6. Let i(y) = -972 - 2*y + 941 - 3*y. Let t be i(-6). Which is the biggest value? (a) -3\/5 (b) n (c) -0.3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 63291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*n - 34. Let a = -2 + n. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001533 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(55) + -1*sqrt(3520))\/((3*sqrt(45)*-1 + sqrt(45))\/sqrt(9)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -12. Suppose f*l - 14 = 1. What is the third derivative of t**5 + l*t**2 + t**2 - 2*t**2 wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97214 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3281.7 or 1?\nAnswer: 3281.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1002*f**6*u**2 - 44*f**2*u**2 - 8*f**2*u - 1 wrt f.\nAnswer: -120240*f**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, x: 2, q: 4, u: 4, b: 4, d: 4}. What is prob of picking 2 x, 1 q, and 1 a?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/19)\/(q\/(q\/q**8)) assuming q is positive.\nAnswer: q**(-154\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + n**2 - 28*n**3 - 2*n**2.\nAnswer: -28*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*a**5 - 111*a**4 - 51*a**3 + 3*a**2.\nAnswer: -3*a**2*(a + 1)**2*(19*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 97184*j\/5 + 2361182464\/5.\nAnswer: (j - 48592)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkggkkzugekgkgke. What is prob of sequence uzke?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*p + 3*g, 0 = -5*g + 20. Let w = -1647\/2 - -806. Let t = w + 18. Is t less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j + 2508. Let v(y) = -y**2. Calculate v(h(t)).\nAnswer: -25*t**2 + 25080*t - 6290064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/237 and -23\/5801481.\nAnswer: 458316999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35863 divided by 467\nAnswer: -35863\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75 or 5757309?\nAnswer: 5757309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b + -13?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 6:19 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 9:09 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 10*a**2 - 17*a - 6. Let i be q(-8). Suppose -2*n = -2*d - 34, i*d - 6 = -16. Solve -3*f - 9 - 9 = -5*x, 3*f + 5*x = n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*d - 120*d - 8, -d + 1 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 954441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m - 30 = 0. Calculate the least common multiple of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -562 - -5?\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*n**2 - 219*n**3 + 2*n + 112*n**3 + 106*n**3 + (4*n - 3*n + 0*n)*(-3 + 3 + 2*n**2).\nAnswer: n**3 + 18*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 87.23064 centuries?\nAnswer: 8.723064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*c - 79*c + 4*c)*(0 + 0 - 3*c**2).\nAnswer: 438*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -18) + (-4 + (-7 - -10) - 16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 2*u + 4. Let r(p) = 2*p**2 + 12*p + 10. Let k be r(-5). Suppose k = -14*g + 13*g. Determine c(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24.12201 millilitres?\nAnswer: 0.02412201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/3*l**2 - 2\/3*l**3 + 52 + 118\/3*l = 0. What is l?\nAnswer: -3, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g. Let x(k) = -47091 + 47091 + 871*k. Calculate x(p(c)).\nAnswer: 871*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10*d + 4320 = 0. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:12 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 49. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/3105*369\/82?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**2 - 10*n**2 + 23*n**2 + 14*n**2.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156*f**2*x**3 - 2*f**2 - 4115*f*x - 2*x**3 + 68*x**2 wrt x?\nAnswer: 936*f**2*x - 12*x + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) + (-68)\/(-18). Suppose -u*n + 1 = 9. List the prime factors of 6 + (n - -2)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1)*(1 - 8\/16). Do -5\/14 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 75 + -107 + 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 10*z**2 - 13*z - 8. Let f be y(-9). What is the greatest common divisor of f and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -421 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/5))\/d)\/(((d**3\/d)\/d)\/d)*(d**0)**(-31)*((d**(1\/2))**(-2\/35))**(-2\/15) assuming d is positive.\nAnswer: d**(107\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -108*n - 119*n + 225*n. Let r(m) = 5*m + 5. Calculate s(r(y)).\nAnswer: -10*y - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*l**2*w**5 + 21*l**2*w - 104*l*w**3 + w**3 + 7025*w wrt w?\nAnswer: -300*l**2*w**3 - 624*l*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30245355 - -56?\nAnswer: -30245266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**2 + 81*j - 222 wrt j?\nAnswer: -2*j + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*p**4 - 115?\nAnswer: 116*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**7\/2940 - n**6\/420 + n**5\/210 + 3*n**3\/2 + 5*n**2. Let p(t) be the first derivative of y(t). Factor p(b).\nAnswer: 2*b*(b - 2)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (0 - (1 + -2)). Let w be (-2)\/x + 14\/24. Let h = -70 + 71. Is h bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**2 - 16*y - 3. Let g be t(0). Let w = g - -19. Solve 3 = w*x - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-5 + 2 - 3)*((-1 + 3 - 4)*(2*m**2 - 3 + 3) + 3*m**2 - 4*m**2 + 2*m**2).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70786383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**3\/3 + h**2 - h + 1514. Suppose 0 = b - 1 - 3. Suppose -3*v + 4*v = -b. What is x(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 222*w**2 - 2*w**3 - 4 - 2*w**3 - 220*w**2 as s*w + c + z*w**3 + i*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 25, -2, -51, -128?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhqh.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 3 (b) 2\/11 (c) -116 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f + 117. Give x(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03625 rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48, -43, -34, -21?\n\"Answer: 2*b**2 - b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4 - 20. What is the units digit of (n + -3)\/((-5)\/(-25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 87, 4\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 3. Let o be d(0). Let h be 2\/(1 - (3 + 0)). Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + (204 - (51 + 96))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 262*d**2 - 15 - 261*d**2 - 7 to s*d**2 + q + l*d and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -43. Solve 2*g**2 - 11 - 111*g - 23*g**2 - 10 - h = 0 for g.\nAnswer: -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7961, 8549, 9529, 10901, 12665, 14821, 17369?\n\"Answer: 196*j**2 + 7765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233.92 - 238. Let j = t + 4. Let k = j + -0.02. What is the nearest to k in 1\/5, -3\/4, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 3*h + 2*t, -5*h + 16 = 2*t. What is the second derivative of -15*r + 148*r**h + 40*r - 129*r**4 wrt r?\nAnswer: 228*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-4)\/(-6)) + 214 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7214 - 1?\nAnswer: -7215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 25303358.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21239610.\nAnswer: 2, 3, 5, 7, 101141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 325 = -2*h, 2*z + 3*z - 563 = -2*h. What is the remainder when z is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1757 - -2679166.\nAnswer: 2680923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5242 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*(1\/4)\/((-3)\/420).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 110550 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 5 + -4*(-66)\/24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55210000 rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)*(-17 - -11). Suppose -2*p - 6 = 0, 0 = 5*q - z*p + 4*p - 36. Solve -i = y + 7, y - q*y = -2*i + 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 24*u**2. Let q(l) be the third derivative of 0 - 8*l**2 + 0*l**3 + 0*l + 1\/24*l**4. Calculate q(h(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 733? (a) 1240 (b) 2\/17 (c) 1\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i**2 - 15*i - 3. Give y(-2).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39939217037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/21 and 10\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564 (base 12) in base 11?\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*10\/(-15)*-4. Let n = v - -1. Let d(s) = -s**3 + 5*s**2 - 2*s + 12. Let y be d(n). Solve -23 = 5*i + y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 9, 12*c = 15*c - 2*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.25 in 5, -49, 0.169, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-21)\/27))\/((-699)\/3262)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0185981 rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 + 2*y + 1. Let g be n(-2). Suppose 4*j = -2*j. Suppose j = 2*m - g - 5. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 - ((-8 - -19) + 36)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -13. Solve i + 4*i**4 - 4*i**2 - 3*i**5 + i + i**v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3615320477 to 3 dps.\nAnswer: 0.362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4056 is divided by 81.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -67190 to the nearest 1000.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (114\/285)\/((-1)\/5). Which is the closest to k? (a) -47 (b) -0.3 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71056811?\nAnswer: 7, 1450139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20313 - 300021100?\nAnswer: -300102013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 32*q - 32*q + 2*q**2 + (4 + 1 - 3)*(3*q**2 - q**2 + 0*q**2))*(-140*q - 41*q**2 + 140*q).\nAnswer: -246*q**4 - 410*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -271*a - 3519. Let f be i(-13). Let y(z) = -18*z - 1. Let m be y(-1). Let l = -15 + m. Solve l*w = 3*w - f, -5*w + 19 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7523807.\nAnswer: 47, 160081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 375 + -377. Let j(z) = 59*z + 127. Let u be j(r). What is the greatest common factor of u and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(192)\/(sqrt(48)\/(sqrt(48)\/sqrt(4))) - ((1*(sqrt(1200) + 1 + sqrt(1200)))**2 - -6*(0 + sqrt(1200))).\nAnswer: -4801 - 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 526*b**2 - 15*b + 10. List the prime factors of r(1).\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*q**3 + 175930*q**2 + 20*q - 738379 wrt q.\nAnswer: -624*q + 351860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 204*n**3 + 3*n**2 - 2*n. Is a(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*x + 27 + 20 - 47 to j + p*x and give p.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35861746 - -35861744.2800113. Let u = -30 - -28.28. Let i = u - w. Round i to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-30)*-5*1*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-2 + -1 + -1 - (sqrt(28))**2*2*-1*-1.\nAnswer: -58 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -417484, -835017, -1252584, -1670191, -2087844, -2505549, -2923312?\nAnswer: -3341139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.132. Let w = x - 0.167759. What is w rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = -5*p, -4*w - 10 = -9*w. Suppose 0*h + p*h = 0. Which is the nearest to -0.1? (a) 7\/2 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*p - 674, -5*u - 1609 = -p + 1691. Is -658 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-16 - (-16 - -5)) - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 2 m when four letters picked without replacement from tiwiwmimtwmttnwmwwwi?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5560259.\nAnswer: 199, 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 191 and 1261 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 0*r - 4*r + 21*r - 154 - 23*r as l*r + m and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244155 = 84*i + 54903. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(325) + 4*(sqrt(325)*-1 + sqrt(325)) + (sqrt(325) - (1*sqrt(325) + -5 + sqrt(325))) + 4)**2*-3.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 201731, 807578, 1817329, 3230984, 5048543, 7270006, 9895373?\n\"Answer: 201952*i**2 - 9*i - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -229, -419, -607, -793, -977, -1159, -1339?\n\"Answer: f**2 - 193*f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3279 + 0?\nAnswer: 3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2, 0.4, 93, -3\/2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2\/5 - 739251*p\/5 + 45083148\/5 = 0 for p.\nAnswer: 61, 246356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8516 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - (0 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-10) + -2)\/((-7)\/3010)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 150*d - 2. Let w(f) = -f**2 + 137*f - 3. What is -7*h(s) + 6*w(s)?\nAnswer: s**2 - 228*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6397 = 14*r - 911. What are the prime factors of r?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:05 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 92 - 74 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 28*g**2 - 5*g. Let s(q) = -897*q**2 + 161*q. What is 5*s(a) + 161*z(a)?\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 49.09008ml?\nAnswer: 0.04909008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 7*s - 11. Let v be i(9). Let u = -7 + v. Solve 2*f + u*f**3 + 0*f + f**3 + f**3 + 4*f**2 = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2826384 divided by -2332.\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 6*a - 7. Let b be g(9). Let w = 36 - b. Calculate the least common multiple of w and 1\/(2\/(2*6)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1952637.13 rounded to the nearest 100?\nAnswer: -1952600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3 - 4 - (-12 + 1 + 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**4\/12 + 2*g**3\/3 - 6*g**2. Let b be -2*3\/18*-21. Suppose -u - 3 = -2*r - b, -3*u + r = -12. What is k(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, 6, 32, 3, -5, -1 in ascending order.\nAnswer: -5, -1.8, -1, 3, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*29.221\nAnswer: -58.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 - -225. Let r = -211.8 + 183. Let k = t - r. Which is bigger: -0.16 or k?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(162) + sqrt(162))**2*-3 + (sqrt(162) + 0)**2*-2)*4*-6.\nAnswer: 54432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 = -3. Let s be w\/2 - 21\/(-6). Calculate the greatest common divisor of 33 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -104*m**2 - 105*m**2 - 93*m**2 + 301*m**2. Let i(k) = -231*k**2. Determine i(z(u)).\nAnswer: -231*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 14. Let v be k(-5). Suppose -v*s - 3 = -23. Let z be -2*1\/(-6) + (-1)\/3. Solve z = -s*l + 5*u - 15, 9 = 2*l - 4*u + 5*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17520 is divided by 8413?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*(-8)\/(-76)*47\/(-47).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 13*l - 56033 + 55992 + 2*l**2. Calculate g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -204.4 - -11968.4. Let v = 11764.100035 - w. Let j = -0.1 + v. What is j rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {r: 1, q: 1, z: 1, c: 3, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203189 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 32928 = 23*y. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m. Let i(l) = -6*l**2 - 5*l. Let z = -56 - -63. Suppose z = -9*d + 16*d. Determine d*i(a) + 4*p(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -566451.\nAnswer: -2265804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 14. Let m(k) = -k - 1. Let p(l) = g(l) + 2*m(l). Calculate the least common multiple of 9 and p(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1110400 and 137\/3520.\nAnswer: 12214400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152533, 152486, 152409, 152302, 152165, 151998?\nAnswer: 151801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45836784.\nAnswer: 2, 3, 7, 37, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**4 - 5*a**3 - 9*a**2 + 17*a - 2. Let o(l) = -5*l**4 + 5*l**3 + 20*l**2 - 35*l + 5. Let f(v) = -2*o(v) - 5*x(v). Let f(h) = 0. What is h?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215037 is divided by 5971?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 4045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/30 - (-4)\/(-30). Let c(r) be the third derivative of 0 + 1\/120*r**6 - 5\/6*r**3 - 5\/24*r**4 + 1\/20*r**5 + r**2 + b*r. Determine c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Suppose -w*d + 43 = -3*d. Let v = 366 + d. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -90*n + 9. Let h be u(-4). Suppose h = 2*b + 7*b. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from {l: 6, f: 2, d: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 584133.473 rounded to the nearest 100?\nAnswer: 584100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (448\/(-40))\/(286\/(-2860))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5888, -5884, -5880, -5876?\n\"Answer: 4*w - 5892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:20 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249 + -255. Which is the second biggest value? (a) 1\/3 (b) -0.4 (c) p (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 4*x - 14. What is z(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 3*g + 7, -2*g + g - 4*o = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1101100101?\nAnswer: 1101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**5\/60 - 2*x**4\/9 + 19*x**3\/18 - 2*x**2 + 53*x - 7. Let o(p) = 0. Calculate p.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 - -0.58. Suppose -4*j = -3*h + 11, 0 = 5*h + j - 0*j - 26. Suppose 2 + 2 = -x + 5*g, -h*x + 5*g = 0. What is the second smallest value in 5, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*w**2 + 1310*w**2 - 1956*w**3 - 661*w**2.\nAnswer: -1956*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 864, 1910, 3366, 5226, 7484, 10134?\nAnswer: 13170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 439, 646, 853, 1060, 1267?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444778 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3661803 is divided by 15582?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 + 2 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-28)\/126)\/(5256\/(-9720) + 2\/27).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 + 3 + (5008 - 4997).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n**3 + n**2 + 37*n - 18. Let i(l) = -2*l**3 + 12*l - 6. Let c(q) = -2*a(q) + 7*i(q). Find j, given that c(j) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(-7))*i\/(i\/i**(-1)*i))\/((i*i*i\/(i\/(i\/(i**(-5)\/i))))\/(i\/i**(2\/5)*i)))**(-13\/7) assuming i is positive.\nAnswer: i**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 7 (b) -6 (c) -48 (d) -0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.348 and -1?\nAnswer: -0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52628 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 + 9.5. Let q = -33 + 33.1. Let d = q + -5.1. Which is the smallest value? (a) d (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33970349.\nAnswer: 7, 139, 34913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 33*k - 100. Calculate i(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-595)\/(-740) + (-34)\/629)*52\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 8*l + 3. Let v be c(8). Factor -6*n - 8*n**v - 4*n**3 + 11*n**2 + 9*n**2 - 5*n**2 + 3*n**4.\nAnswer: 3*n*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 4. Let b be l(-3). Suppose -32 = -16*u - 0. Let h be -3 + u - (b + -4). Solve -h = 2*k - 3*x - 0*x, 0 = -5*k - 2*x - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (70 + 56 + 2)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**3 - 200*l**2 + 2489*l. Let f(o) = -4*o**3 - 120*o**2 + 1245*o. Calculate 5*f(z) - 3*m(z).\nAnswer: z**3 - 1242*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/66*(-4)\/3. Let c = -6 + 8. Suppose 2 = o - c. Put g, -1\/2, o in increasing order.\nAnswer: -1\/2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9390.481 grams in micrograms?\nAnswer: 9390481000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 + -0.38. Let m = a - -1.5. What is the second biggest value in 5, -2\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -371\/3 - -122. What is the third smallest value in 2\/21, -3\/5, n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uut when three letters picked without replacement from ftusuksxfuku?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4685 * 13\nAnswer: -6.0905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -9. Let k = -2.8 + d. Let b = k + -0.199948. Round b to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 4*c**7\/105 - c**4\/3 - 2*c**2. Find the second derivative of a(z) wrt z.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -7)\/((-14)\/4 - -4). Suppose l*w + 428 = 5*m - 4*m, 0 = -5*w + 25. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 2. Let j be g(-2). Let h = 1 + j. Solve -10 = -3*i - h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 80\/3. Let l = -0.11 - -0.31. Let n = 4 + -9. Which is the closest to l? (a) n (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928811962?\nAnswer: 2, 13, 37, 53, 18217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**5\/5 + j**4\/4 + j**3\/3 + 34*j. Let t(q) = 13*q**3 + 10*q**2 + 7*q. What is 2*t(y) - 7*u(y)?\nAnswer: -2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1159662 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + 204*o + 1357. Let k be j(-61). Is 73 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 bigger than -59629\/433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 1 (b) 1\/3 (c) -3 (d) 2\/147\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 w when three letters picked without replacement from {w: 5, l: 2, z: 1, y: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102762*h + 102757*h + 50 = 2*z, -4*z = h - 64 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -322*i - 363*i + 780*i - 15 - 270 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1924 + -139. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1768)\/9945)\/(1764\/(-105))?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(243) + (sqrt(243) - (sqrt(243) + -1 + 5) - sqrt(243)) - (1 + sqrt(243)*2 + 2 + sqrt(243)*2))*4)**2.\nAnswer: 11520*sqrt(3) + 63808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2. Let q(l) = 26*l. Let c be (-234)\/15 - (-8)\/(-20). Let a(h) = 5*h. Let y(r) = c*a(r) + 3*q(r). Determine y(v(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -465 - 36220?\nAnswer: -40015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2970, -2966, -2950, -2916, -2858, -2770, -2646?\n\"Answer: g**3 - 3*g - 2968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 94.5 (b) 5 (c) 41\/3 (d) -11\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184623 (base 9) to base 5.\nAnswer: 12134320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -521 less than 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11542589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1)\/(-7))\/(-17*208\/6188)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -167735\/12 + 13989. Find the common denominator of g and (-186)\/(-80)*(-5)\/(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 8*z**2 + 3*z - 14*z + 238 + 211.\nAnswer: -8*z**2 - 11*z + 528","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -2, 3\/2, -10\/7 in decreasing order.\nAnswer: 3\/2, -10\/7, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 7*f**5\/120 + 6*f**3 - 24*f**2. Let b(i) be the first derivative of z(i). Let a(p) = 3*p. Determine b(a(x)).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05868, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - 0. Let v = -238.67 + 238.689998. Let t = g + v. What is t rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/6)\/7 - (0 + -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 249*k**2 + 18*k**2 + 177*k**2 + 87*k**2 + 204*k**2 as q*k + v*k**2 + b and give v.\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -2, 7, -3 in descending order.\nAnswer: 9, 7, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*u**3 + 47*u**3 - 876*u**2 + 13*u**3 + 270*u**3 + 237*u**3 wrt u.\nAnswer: 3720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*b - 62*b = -62*b - 5871 + 23905 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38759516.45 - 79.\nAnswer: -38759595.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/315824 and -9\/20.\nAnswer: 1579120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 5. Let y be v(4). Suppose 9 - 34 = -5*r + p, 3*p = -15. Suppose -4*l - 3*z = -r - 12, 0 = l + z - 5. Put l, 0, y in ascending order.\nAnswer: y, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 3, -5*b + 19 = 43*z - 41*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 + -18. Let a = -29 + l. Let f be 1520*13*a\/(-6). What is f rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + 3 + sqrt(4050) + sqrt(4050)) - (0 + sqrt(4050) + 5)*-4)**2.\nAnswer: 39600*sqrt(2) + 406936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*j - 755060 + 765272 = 0 for j.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -358576 by 146.\nAnswer: -2456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 4. Suppose q = 17 + v. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j. Let p(h) = -6*h + 2. Let b be p(3). Let t be (-2)\/1*(-8)\/b. Let k be y(t). Solve 5*u - k*u - 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/932 and -101\/2?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145881 or 145882?\nAnswer: 145881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r + 10*r - 1 + 7*r.\nAnswer: -6*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(3*m**2 - 17*m**2 - m**2) to u*m + l + x*m**2 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1929869304, 1929869303, 1929869302?\n\"Answer: -x + 1929869305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + u**4 + u**4 + 16 - 16*u**2 + 3*u**4 - 1 - 10*u**3 - 4*u**2 = 0 for u.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-1)\/(-2) - (-364 + 16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + -6)\/(1\/2). List the prime factors of (-238 + u)\/(-6)*(-1 - -2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x - 20*x = -4*x - 1529454. What are the prime factors of x?\nAnswer: 2, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*r**5 + 60714*r**3 + 2*r - 1170250 wrt r.\nAnswer: 220*r**3 + 364284*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 726847 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: Is 295925281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 127364703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 176 = -33*c + 210 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*b - 7*b + 263590000. What is b rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2865 and 5730?\nAnswer: 5730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-15 - -3) + 2 + (-39 - -51)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980938.\nAnswer: 2, 7, 70067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64041040 a multiple of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*m**5\/7 - 384*m**4\/7 + 2781*m**3\/7 + 23784*m**2\/7 + 43020*m\/7 + 19008\/7 = 0. Calculate m.\nAnswer: -48, -3, -2, -2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99) + sqrt(99))**2*3 - ((((sqrt(99)*1 - sqrt(99)) + sqrt(99))**2 - sqrt(11)) + sqrt(99) + -1).\nAnswer: -2*sqrt(11) + 1090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -721\/18 - -362\/9. Let h(z) be the second derivative of 0 - 2*z + 0*z**3 - y*z**4 + 8*z**2. Find the first derivative of h(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 68, -165, -2 in decreasing order.\nAnswer: 68, -2, -4, -6, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/32)\/((-3)\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736\/64*1\/23*42.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 a, and 1 l when four letters picked without replacement from garlgira?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 2523.\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/25 in 4, -7\/3, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**6\/30 - i**5\/32 - 25*i**4\/48 + 5*i**3\/48 + 21*i**2\/8 + 10477*i. Solve l(o) = 0 for o.\nAnswer: -2, -1, 1, 21\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -708*i + 176. Calculate the remainder when 26397 is divided by v(0).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000787 is divided by 1000746?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 14*o - 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -23*i**3 - 2*i + 1. Let a be o(1). Let u = a + 44. Calculate the greatest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*z - 71 = 0, -156*j + 166*j = -54*j + 2*z + 292 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:13 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 902717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52275 and 3372783.\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 78*w**3 - 17*w**3 + 79*w**3.\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -4\/71, -5, 2413 in decreasing order.\nAnswer: 2413, -4\/71, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -27. Let l(a) = 3*a + 14. Let i(j) = -j - 5. What is y*i(r) + 4*l(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*a - 233*a - 16192 = 7*a for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 36*r**3 + 147*r**2 + 20*r + 49. What is l(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 3*g - 4*g)*((1 - 1 - 1)*(691 - 799 + 523) + 4 - 1 - 2 + 2 - 5 + 9 + 2 - 2 + 1 + (-2 + 2 - 2)*(3 - 1 - 3)) as c + m*g and give m.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t + y - 1314, -4*t + 1054 = -2*y. Let f(v) = 0 - 264*v**2 + t*v**2 + 1 + 6*v. Let m(n) = -n**2 - 5*n + 6. Let o be m(-5). What is f(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202565 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from pspppsgspsssg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 397178 (base 15) in base 5?\nAnswer: 1201221323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2. Let y(p) be the first derivative of 4*p**3\/3 - 4. Calculate c(y(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96767?\nAnswer: 11, 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27763000 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.464753883 rounded to three decimal places?\nAnswer: -1.465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -137501*n**2 - 5*n - 4. Let h be (-3)\/(3*-2)*-14. Let j be h - -3*(-2 + 3). Let l be o(j). Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/110)\/(21\/1155).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4479 = -1458. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04947307 * -5.\nAnswer: -0.24736535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -57.3. Which is the nearest to l? (a) 0.3 (b) 2\/21 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482107976 a multiple of 5662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.214 rounded to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5531807599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j - 6. Let n be (2\/6 - (-52450)\/150) + 6. Let q(s) = -356*s - n*s + 710*s. Give q(p(c)).\nAnswer: -18*c + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-167 + 150)\/(-2 - -3) - (-2379)\/143.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1807*u**2 - 3898*u**2 - 1 + 1 - 1487*u**2.\nAnswer: -3578*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3013 is divided by 777?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88494*w + 88510*w - 307168. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 11*j**2 - j + 14. Calculate o(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 5. Let f be j(11). Let g be 16\/f - (-2 - 2). Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 796348279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -728.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**8\/23520 - g**6\/2520 + 5*g**4\/6 - 42*g. Let k(x) be the third derivative of s(x). Factor k(m).\nAnswer: 2*m*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000163791 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwwckwckkccwwwwck. Give prob of sequence wkc.\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/120 + 11*l**5\/60 + l**4\/6 - 5*l**3\/6 - 36*l**2. What is the tens digit of z(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10cb + 5?\nAnswer: 10d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324180747?\nAnswer: 3, 11, 3274553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 138400 (base 16) in base 8?\nAnswer: 4702000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3408, 6999, 10590?\nAnswer: 14181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.84998 + 1.4716. Let q = u - 0.62. What is q rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -53633\nAnswer: -3\/53633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -1, -6 in descending order.\nAnswer: -0.21, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 36 = -37*r - r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**4 - 4*x**3 + 4*x**2 - 6. Let z(c) = 14*c**4 + 11*c**3 - 11*c**2 + 19. Let q(t) = -11*h(t) - 4*z(t). What is the derivative of q(f) wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 11426117 = -30*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6 + 19 = 0. Let r = n + 8. Suppose -r*x + 27 = -0*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = o - 2 - 8, -3*o + 3*h + 30 = 0. Is ((-31)\/2)\/(o\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 164 + 10. What is the greatest common divisor of h and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*l = 73*l - 10. Solve 4*q + 18 = l*d, 1 = 2*d + 5*q + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 2452 - 135 = -2183. Calculate the remainder when g is divided by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2. Let x(o) = -13*o**2 - 50*o**2 - 38*o**2. Calculate g(x(u)).\nAnswer: 20402*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -66, -32, 166, 594, 1318, 2404, 3918, 5926?\n\"Answer: 11*u**3 + 16*u**2 - 91*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoeomoaweeesa. What is prob of sequence weo?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l - 1. Let t(w) = -1136 + 567 + w + 569. What is -3*t(d) + u(d)?\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-509 + 2)*14\/(-42) is divided by 64?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*1*-2)\/(sqrt(539) + sqrt(539)*2) - (-2*sqrt(6)\/sqrt(2) - -3*-3*sqrt(3)))**2.\nAnswer: 52441\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 14*j**2 - 6*j**2 - 8*j**2 - 35 - j**2.\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-2)))\/d)\/(d**(-2\/7)\/d*d*d))**(11\/5) assuming d is positive.\nAnswer: d**(-286\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + n + n)*(5970 + 33*n**2 - 5970) - 53*n**3 + 123*n**3 - 6*n**3 as r*n**2 + x*n + a*n**3 + w and give a.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 45 - 80 - (-20 + -14 + 19 + 10)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 27*y**2 - 277*y - 130. Determine h(35).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -141, -1\/10, -0.06, 2, 0.9?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-28)*(-39)\/52*-14. Let v = -0.75 + 0.45. Put 1, g, v in decreasing order.\nAnswer: 1, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17536 - -18156. Calculate the lowest common multiple of 55 and x.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 730*f**4 + 158*f**2 + 1521. What is the second derivative of i(g) wrt g?\nAnswer: 17520*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 9 + 0)*(0 + 2 - 3) + 1 - 3 + 0 + (-1 - 1 + 0)*(-5 + 1 + 3))*(0*z**5 + 3*z**5 + z**5).\nAnswer: -60*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 126023 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -6. What is the nearest to 1\/2 in 2\/5, z, 4\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -101003212111?\nAnswer: 101003212133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.13 times 71?\nAnswer: 49283.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2826 by 6.\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*c*x*y**2 + 902*c - 1382928*x*y**2 - 36977*y**2 wrt x.\nAnswer: 38*c*y**2 - 1382928*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3668 is divided by 615?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12101 (base 3) to base 14.\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6398490 divided by 91407\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 20 = 4*y + 5*r, 5*r = -3*y - 16. Let p(l) = -l**2 + 7*l + 3. Let n be p(6). Let g be n\/15*(-8)\/12. What is the nearest to 2 in y, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3 - 5 = 2*y, y - 5 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533 divided by 5?\nAnswer: -1533\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 2*g + 4*g + g**3 + 2*g**4 - 3*g - 4 as p*g**2 + f*g**4 + k*g**3 + i + t*g and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s + 9 = l + 30*s, -4 = 4*l - 2*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 23452461092.\nAnswer: 23452461091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 8.8. Let g = -8.2 + n. Which is the nearest to 2\/7? (a) g (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -152*g**3 - g**2. Calculate the remainder when m(-1) is divided by 4\/(-22) - (-2 + 796\/(-22)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*p - 78*p = 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:31 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j = 0. Suppose -5*m - 5 = -j*m. Let r = m - -4. Calculate the greatest common factor of r and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-4)))\/d*d**(-2\/3)*d*d*d*d**(-2\/5)*d*d**(1\/3) assuming d is positive.\nAnswer: d**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4274545?\nAnswer: 5, 11, 77719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/20 + n**4\/6 + n**3\/6 - n**2\/2 + 6*n. Calculate the smallest common multiple of 3 and a(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5385.2742s?\nAnswer: 1.4959095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-21)*1\/(-8))\/(855\/1710)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 23. Let y be p(13). Let f be (1 + y)\/(-12)*1. Let s be (-8)\/(-50)*(-10)\/(-4). Which is the closest to 0.1? (a) -0.1 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2\/5*o**3 + 1020164798\/5 - 3830406\/5*o + 4794\/5*o**2 = 0?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 2:09 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 36*w + 117. Let k be n(39). Solve -5*p + k*p - 3*f = -4, 3*f + 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 11 = 2*c, 2*c - 6 - 7 = 3*y. Let i be 6*(4 - (-56)\/(-12)). Put -12, c, i in ascending order.\nAnswer: -12, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 26*h**2 - 26*h - 23. Let a be b(-25). What is the third derivative of -17*o**5 - 61*o**a - 10*o + 58*o**2 + 5*o + o**4 wrt o?\nAnswer: -1020*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 - 1.86. Let d = -1.4 - -1.96. Let f = 0.04 + d. What is the smallest value in o, f, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1787, -9, 0.54, 1?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108586585 = 611*h - 756*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:44 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -17*l**2 - 2*l - 19. Let u(v) = 85*v**2 + 11*v + 98. Calculate -11*c(h) - 2*u(h).\nAnswer: 17*h**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220765?\nAnswer: 5, 67, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**3 + 6*u**2 + 2*u - 90. Let p(l) = l**3 - l**2. Calculate -4*p(w) - r(w).\nAnswer: w**3 - 2*w**2 - 2*w + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 7*m**2 - 8*m + 7. Let w(x) = x**3 - 6*x**2 - 7*x + 7. Let v be 8\/4*(-6)\/4. Let y(g) = v*w(g) + 2*s(g). Give y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + -3 - (-1 + 4). Let q(w) = -w**3. Let x(h) be the second derivative of -3*h**5\/20 - h**2\/2 - 155*h. Give a*q(i) - x(i).\nAnswer: i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 1, -0.1, 65.2, 9 in increasing order.\nAnswer: -0.1, 0.5, 1, 2, 9, 65.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -146 (base 7) to base 5\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p**6 - 10*p**5 + 3*p**2 - 8*p?\nAnswer: 1200*p**3 - 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1044086 to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 6717 = 4*j, -5*o - 5*j + 11195 = 0. Let u = o + -1026. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134143 (base 5) to base 8.\nAnswer: 12654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(2\/7))))\/m)**3*m**(-3\/5)*m**(-6)*(m**(-1))**(-42)*m**1\/(m**(2\/7)\/m) assuming m is positive.\nAnswer: m**(1329\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1404) - sqrt(1404)*3)*4)\/(-3*(sqrt(108) + sqrt(108)*3)*2).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 10*t + 32. Let d be (-210)\/28*(-3)\/(9\/4). Let j be k(d). Let g = -3 - -7. What is the greatest common factor of j and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 194045.16 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/22728 and -107\/971622.\nAnswer: 3886488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184457.\nAnswer: 7, 13, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1010011010?\nAnswer: 1010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902349007 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let h = 30 - -26. Let y(k) = 31*k - 4*k - 56 + h. Determine m(y(c)).\nAnswer: 729*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 2*z + 11. Let x be b(4). Let q(f) = -f**2 + 19*f + 22. Let p be q(20). Let i = 0.7 + 0.3. What is the second smallest value in p, x, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -89. Calculate the remainder when 10 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185552345 less than 44795?\nAnswer: -1185507550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29091589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3368 divide 40935325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000723634409 to six decimal places.\nAnswer: -0.000724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**2 - 473039*i. Let n(p) = -p**2. Give w(n(o)).\nAnswer: 12*o**4 + 473039*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 6 + -2 - (1 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + (-6 - -4) + 3 + 1 - -7) + -10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5463 - -45.5537. Is -2\/3 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176 + -175.7925. Let t = 4254 - 4254.147. Let v = t + i. Round v to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, 5\/2, 0.3, -0.2 in descending order.\nAnswer: 5\/2, 0.3, -0.2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -376, -708, -986, -1204, -1356, -1436, -1438?\n\"Answer: s**3 + 21*s**2 - 402*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62.9 - 20.3. Let u = -43 + q. Let j be (12\/(-36))\/((-1)\/5). Which is the second smallest value? (a) j (b) -3 (c) u (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -820 - -836. Let b be 30\/8 - 3\/(-12). Let o(i) = -i**3 + 8*i**2 - 6*i - 7. Let c be o(7). Solve b*y - l = -c*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3646275 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -701 + 730 + 4 + -2 + -1 + -15 - 28\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.2. Let f be ((-6)\/(-5))\/((-280)\/(-700)). What is the second smallest value in f, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 13. Let m be h(-7). Let v be 0 + (-2 - m)*1. What is the second biggest value in 0.3, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 876 divided by 193586\nAnswer: 438\/96793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24423269 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81.7 or 0.36274?\nAnswer: -81.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -497 + 500. Let u = -1.115 - 0.085. What is the biggest value in 0.2, -1\/2, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10598 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (54\/270 + 9\/15 - (-447)\/85).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 2*j**2 + 4*j + 2. What is a(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61244880 and 91867320.\nAnswer: 183734640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -153, -127, -105, -87, -73?\n\"Answer: -2*d**2 + 32*d - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*b = -5*i + 588*b + 75, b = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 591 + -500 + (4 - (35 - 3)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749725 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(104)\/(sqrt(24)\/sqrt(3)) - sqrt(39)\/(5*sqrt(3)*-2).\nAnswer: 61*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8481 divided by -3?\nAnswer: -2827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143*s + 157*s - 13*s + 39*s)*(4*s**2 - 4*s**2 + s**3) to l*s**3 + g*s**2 + j + h*s**4 + a*s and give h.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 0*s)*(0*s + 2*s - 4*s) - 9264*s**2 - 4911*s**2 + 9993*s**2.\nAnswer: -4180*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*h - 4. What is the remainder when 50 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxx. Give prob of sequence xg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 - 24*r + 26*r - 5*r + (-2 + 5 - 2)*(-r + r + 2*r).\nAnswer: -r - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31428, -16941, -2454, 12033, 26520, 41007?\n\"Answer: 14487*k - 45915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62387?\nAnswer: 13, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 2. Let g be i(0). Let j(t) = -6 - 5 - g*t + 0*t. Let z be j(-8). Solve -z*m - 17 - 8 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 95 - 4 = 3*k, 2*k - 24 = -n. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -125\/2*x**2 + 7\/6*x**6 + 5\/42*x**7 - 115\/6*x**4 - 1\/2*x**5 - 20*x + 0 + 325\/6*x**3. Let z(u) = 0. What is u?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.31 * -1.\nAnswer: -19.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1902195 divided by -15\nAnswer: 126813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32064 = -51*k + 32472 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 283 - -1465?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 6, 350 in decreasing order.\nAnswer: 350, 6, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -24, -3, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12080*c + 12076*c + 2*y - 42 = 0, -2*y = 6*c - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 = g. Let d = -10.5 + 11. Sort g, d, 4 in increasing order.\nAnswer: g, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 2. Suppose z - 17 = 5*m, -2*z = -7*m + 3*m - 10. What is the units digit of t(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 12, 5*r + 0 = -s + 32. Let f be (-4)\/s*(-2 + -13). Solve 3 = -f*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82686 is divided by 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -51247?\nAnswer: -51247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/120 - d**5\/10 + 17*d**4\/24 + 11*d**3\/6 - 7*d**2 - 48*d. Determine q(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255465479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -208913\nAnswer: 65\/208913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -23.\nAnswer: -23, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -26. Is w\/25 + (-36)\/(-10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbccsggcspbcccpcbccc. What is prob of sequence slsg?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r + 238 = -6*v + 8*v, 27 = 3*r - 8*v + 10*v + v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 27*j = -54 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -64*x - 1392. What is y(-21)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 38. What is the highest common factor of o and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63777869369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/14)\/((-259)\/((-87314080)\/280)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3362.9 and -11911656550?\nAnswer: 11911653187.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4\/4 - 3*g**3 + 9*g**2\/2 - 9*g + 2. Let d be l(8). Let r = 0 + -0.1. Which is greater: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18836*j**2 - 1 + 1 - 18833*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, u: 12, w: 4}. What is prob of sequence uucc?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((42\/8)\/7). Suppose 3*r - 2*i = -r + 66, -r + 13 = -d*i. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 7:56 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2644 + 2658 + 1 + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0219 plus 2052367.8?\nAnswer: 2052368.8219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -391959.66389 + 15.78.\nAnswer: -391943.88389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23662.7 + -23663. Let x = 2.9 - 3. What is the nearest to s in -0.2, x, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**2 - 80*j - 470. Give f(16).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**3 - 35*f**3 + 0*f - 2*f + 21*f**3.\nAnswer: f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11621)\/(-5880) + 0 - (-568 - -570) and -71\/60?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 1 + 4*v**2 - 63*v**3 + 71*v**3 + 2. Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 13*c**5\/12 + c**4\/4 - 11*c**3\/6 + 2*c**2 + 6. What is the second derivative of y(t) wrt t?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-89*i + 89*i - 27*i**4).\nAnswer: -54*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32815 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.02833 - -0.02833. Put 0.1, p, 5, -2\/5 in decreasing order.\nAnswer: 5, 0.1, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 32*x - 249. Give i(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + 4*x + 268. List the prime factors of k(27).\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u. Suppose -y + u*y = -12. Solve y = 4*t + 4*j, 3*t + t - j = 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1501 (c) 16 (d) -2.5 (e) -2\/7 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s - 4*s)*(-s**3 + 4*s**3 - 4*s**3) - 96*s + 96*s + 46*s**4.\nAnswer: 49*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4\/4 + 5*t**3\/3 + t**2\/2 - 10*t + 6. Let d be b(-3). Solve k = -2 + d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - (-3 + 7 + -729).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -221100141?\nAnswer: 221100204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(176)).\nAnswer: 15 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3121 (base 4) to base 6.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.238 or -18.197?\nAnswer: 0.238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*y + 5*w - 11, -y + 5*w = 8. Let o be (-12)\/(-66) - (-28)\/y. Suppose 5*z + 25 = -0*z. Which is greater: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1143 + 1185 = -6*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 954\/1590*10\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4*(1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 19337 (c) -43 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1586091559 and -1586091558 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 101*-24\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010000000 - 10100001010?\nAnswer: -111110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2555 and 4480.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - 8. Let y = x - -43\/2. Let p = 5.01 - 0.01. Sort p, y, -2\/9 in increasing order.\nAnswer: -2\/9, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7013 - -10734. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**2 - 115*d - 364. Calculate the remainder when 291 is divided by a(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -97\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/70 and 49\/265200.\nAnswer: 1856400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/790 and 37\/12324.\nAnswer: 61620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/11 in 3, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 9. Suppose 0 = -3*x + 6, -5*x = d*l - 0*l - 16. Suppose 4*u - 2*u = 6. Solve -5 = -u*z - l*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0*w)**43)**(-42)\/(((w**(6\/5)\/w)\/(w*w**(-3)))\/(w**(-1))**(-5)) assuming w is positive.\nAnswer: w**(-18046\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 3*t - 3*t - 2*t**2 + 2 - 2 + (2*t + 2*t - 5*t)*(4*t + 2*t - 4*t) + (-70 - 12*t + 70)*(156*t + 49533 - 49533) to g*t + l + i*t**2 and give i.\nAnswer: -1875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 19*l - 23. Give m(8).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -7 + 10 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = 2*q. Let v = -335.168 - -0.168. Let n = v + 335.1. Which is the third biggest value? (a) q (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.21 (b) 4\/3 (c) -0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(612))**2 + sqrt(612).\nAnswer: 6*sqrt(17) + 2446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 617, 618, 619?\n\"Answer: v + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c. Let d(h) be the third derivative of -11*h**5\/30 + 53*h**4\/24 - 28*h**2 + 33. Give d(i(s)).\nAnswer: -198*s**2 - 159*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -260260*k - 182750?\nAnswer: -260260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279349 is divided by 4744?\nAnswer: 4197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Suppose 904 = 37*y + 201. Find the first derivative of y*l**3 - 1780*l**2 - 35 + 1780*l**h wrt l.\nAnswer: 57*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -18\/23, 0.0596, -1\/9, 5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 36087.507?\nAnswer: 36087.507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 21 - 10 = 0. Suppose 0*c = i*c - 55. Solve 3*w - 6 = -3*t - 18, c*w + 3*t + 10 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 1\/60*t**5 - 2\/3*t**3 + 1\/6*t**4 + 0*t - 23 + 15*t**2. Let w(d) be the second derivative of z(d). Calculate w(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 951 + 241. Suppose -3*w + 665 = -y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, -3, 136 in increasing order.\nAnswer: -4, -3, 0, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 43*l + 14. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1656*s**2*t + 586*s**2 + 1 with respect to t.\nAnswer: 1656*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-4))\/((-13)\/((-1144)\/(-12)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 4*s + 27 - 52 as u*s + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z = 45*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 - 5*b**3 - 4 + 4 + 23*b**3 - 35*b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**(-3\/10)\/n)*n)*n)\/n)\/n**3 assuming n is positive.\nAnswer: n**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64173758 and 55110?\nAnswer: 3674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.0404kg in tonnes?\nAnswer: 0.0580404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 73*z**2 - 85*z**2 + 7*z**2 - 585*z**3.\nAnswer: -5*z**2*(117*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2 - 103229 + 103877 + 36*n**4 - 11*n**4 with respect to n.\nAnswer: 100*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 43. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/54 and 65\/462.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = -93*r - 542 + 129 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 3*u + 4*y, 487*y = 3*u + 477*y - 222 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 times 5?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 1483*g**2 - 652*g - 66874. Determine a(742).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/180 + 23*a**5\/90 + 20*a**4\/9 + 76*a**3\/9 + 4*a**2 + 38. What is o in f(o) = 0?\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -a33c8?\nAnswer: a33cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = -2*j. Sort 7, j, 1, 2.\nAnswer: 1, 2, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210210022101 - -3?\nAnswer: -210210022032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*c - 5*c + 35, s = c + 20. Let f = 1 - s. Let p = f - -20. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - 8*f**4 - 2*f**4 + 0*f**4 + 4*f**4 - 2*f**4 + (-1 + 1 - 2*f**3)*(-3*f + 4*f + f) + 5*f**4 + 9*f**4 - 5*f**4 + 0*f**4 - f**4 + 0*f**4.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.27 rounded to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + -3)*(-98)\/196?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 + -4 - 3\/((-15)\/10) and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/287937 and 89\/191958.\nAnswer: 575874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63932, -63916, -63886, -63836, -63760, -63652, -63506, -63316?\nAnswer: -63076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + 5. Suppose -u = 5*v - 2*v. Let x = 23 + v. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + (-3*sqrt(700) - sqrt(7))*3 + (5 + 2*1*sqrt(7))*1)**2.\nAnswer: 57965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 - 9 + 28)*(-157*u**2 + 157*u**2 - 7*u**3)*(0 + 0 - 3) to the form h*u**3 + d + s*u**2 + a*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 3*z**3\/2 - 11*z**2\/2 - 23*z. Let s be j(4). Is s less than or equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -259.63 + 6.63. Let r = 252.4 + u. Which is the nearest to -1? (a) r (b) 1\/2 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 2429.738812\nAnswer: 2429.938812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*o**2 + (-2 - 1 + 5)*(-425*o + 425*o - 6*o**2).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 0 - 2*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 + -117. Let i = j + -33. Suppose -5*u + 20 = 0, -u = -4*p + i - 6. Solve 0 = -p*c + 1 - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 20*u**2 + 94*u + 31. What is t(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/31 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78244*y - 9292 = -78143*y for y.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.18632 times 0.5?\nAnswer: 416.09316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 1 - (-12 + 19) - 11) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6516997 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: Expand (11*b**4 + 12*b - 12*b)*(-1 - 3 + 2) + (0 - 2*b**3 + 0)*(-b + 2*b + 0*b).\nAnswer: -24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + 5*(sqrt(288) + -1 + sqrt(288))) - (-2 + -3*sqrt(288) - 4*sqrt(288)*-4)**2.\nAnswer: -48679 + 744*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbt. What is prob of sequence tt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 8*x - 6*x - 5*r, 2*x - r + 1 = 0. Let v be (1 - 286\/282)*x. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17996, 17997, 17998, 17999, 18000, 18001?\nAnswer: 18002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from -10972.8384048.\nAnswer: -10986.8384048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = g + 29, -7*o - 22 = -9*o + 2*g. Suppose -o*u + 84 = 30. Factor -14*l**2 + 5*l**2 + 5*l**2 + u*l**2 - 4*l.\nAnswer: 2*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61 + -6b5?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(304)*5 + sqrt(304) + sqrt(304))*-6)**2*-2.\nAnswer: -787968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 - 3*u - 2. Suppose 0 = 5*t - 52 + 22. Let r(h) = -h**2 - h - 1. Determine t*r(l) - 2*k(l).\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -981.\nAnswer: -13734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - y. Let z be j(-1). Suppose 8 = 5*g - z*b, 4*b = -0*b - 16. Suppose 3*k - 5*m - 99 = g, 4*m = -5*k + 2*k + 126. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/((-47)\/(7520\/120))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v + 61. Calculate f(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -70?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -18*i. Let t(q) = 4*q + 4. Let b(w) = -1159*w - 1464. Let p(l) = -b(l) - 366*t(l). What is -2*p(m) + 35*x(m)?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*x = 18, 0*x - x + 16 = i. Suppose -861 + 6240 = i*k. List the prime factors of k.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8568 divided by -4.\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 259\/3 - 182\/3. Let x = p - 1772\/69. What is the common denominator of x and 73\/10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(((-851)\/(-23))\/592)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t**3 - 61*t**3 - 39*t**3 + 33*t**3.\nAnswer: -90*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123912 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 178802*i**2 + 7992538801\/3 + 1\/3*i**4 + 1196\/3*i**3 + 106923596\/3*i.\nAnswer: (i + 299)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -40, 3 in increasing order.\nAnswer: -40, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/37120 and 81\/48840640.\nAnswer: 195362560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48 - (1 + 11)\/4. Suppose 5*q + l = 5*a, -5*a - 4*q + 9 = -0. Sort a, 0, -2 in descending order.\nAnswer: a, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 14*o**2 - 14*o - 13. Let b be i(-13). Suppose 0 = 2*y + 2*q - 14, -3*y + 2*y - 2*q + 10 = b. What is the greatest common divisor of 16 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29624 + -29624.02. Put -1\/4, -5, q in descending order.\nAnswer: q, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16521551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 70393c8?\nAnswer: 70393c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - n - 1. Let w be (-2)\/(-7) - (-5)\/7. Suppose -3*l - w = 2. Calculate c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**6 - 188247*z**4 - 178*z**2 - 699031*z.\nAnswer: 480*z**3 - 4517928*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 312*d**6 + 12*d**4 - d**3 - 8*d**2 - 36*d?\nAnswer: 37440*d**3 + 288*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 4*t**2 + 4*t + 3. Let g be n(-5). Suppose -4*h + 11 = 3. Solve h*b - g = 6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-252)\/18))\/((-2)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14612?\nAnswer: 2, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + q + 1628 = 0, 4*r - 4*q - 561 = 3*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 58*r - 286. Let t be c(5). Sort t, 3, -30, -5.\nAnswer: -30, -5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 - 240 = 25*b - 113 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1300096 to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17889 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-71)\/30)\/((-3)\/(-6)). Let m = -22\/5 - r. Suppose 3*h + j - 1 - 9 = 0, j + 5 = 0. Which is the smallest value? (a) m (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 5, -1, 3, -4 in increasing order.\nAnswer: -16, -4, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 33696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 5*y**2 + 3*y - 3. Let p be v(5). Suppose -3*i - 4*k + k + p = 0, -2*i + 2*k - 12 = 0. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 614 - 31931\/52. Let q be (2\/((-104)\/114))\/(-12). Let u = q + d. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34659 and 4.\nAnswer: 138636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -290019, -290053, -290091, -290133?\n\"Answer: -2*y**2 - 28*y - 289989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 80 (c) 1455 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75946268 by -926174.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9948 + 3. What is o rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4 - 4860*y**3 + 1377608*y**2 + 17059632*y + 51708960 = 0.\nAnswer: -6, 482, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8277954ng?\nAnswer: 0.0000000000000008277954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141413423444 + -4?\nAnswer: -141413424003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2)*p*p\/p**(-7)*p)**(1\/2) assuming p is positive.\nAnswer: p**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14*41\/5740 + (-4 + 2)\/180. Let i = -0.2 + 0.3. Let n = i + -1.1. Which is the closest to 2? (a) -2\/3 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-3)\/(-12)*-27\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/(-2))\/(4\/440)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**6\/15 - 15*n**4\/4 + n**3\/6 - 8*n**2 - 121*n. What is the second derivative of k(w) wrt w?\nAnswer: -24*w**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60450 divided by -1?\nAnswer: 60450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7351*u**4 + 651*u wrt u.\nAnswer: -88212*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (20\/12)\/((-3)\/(-9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252511 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*5*6)\/(sqrt(864)\/sqrt(6) - sqrt(225)*2).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i**2 + 10*i - 21. Does 28 divide d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406 and 1974?\nAnswer: 57246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -358881 or -11843080\/33?\nAnswer: -11843080\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11 - (-148)\/14 - 3\/(63\/(-534)). Solve -39*b + 34*b = d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177623675 to the nearest integer?\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/103)\/(-1*2*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 6*p**2 + 2*p - 3. Let w be s(9). Is ((-2)\/(-2) + 1)\/(w\/(-23598)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aba1b (base 13) to base 8.\nAnswer: 1140303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230090 = 80*d - 230250 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 - 5*t**2 + 6*t + 6. Let p be 0 + -3 + 9 + (-30)\/10. Let m(d) = 5*d**2 + 0*d**3 + 8 - 13*d + 6*d**2 - 21 - 6*d**p. Determine 6*m(o) + 13*u(o).\nAnswer: 3*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 259*0.118595\nAnswer: 30.716105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 60*m - 1016. Give v(16).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1700) + 0 + (sqrt(1700) + -1)*-1 - 5*(-2 + sqrt(1700)*2))**2 + 3.\nAnswer: -1600*sqrt(17) + 170067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3. Let w be z(-1). Let f = 731\/5005 - -3\/385. Let u = 38.06 - 38. What is the third biggest value in w, 5\/2, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/4, -0.1, -1\/3, -0.5, 1.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*i + 79*i - 2 = -2*j, 2*j - 8*i + 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d. Let n(v) be the third derivative of -v**4\/8 + 4*v**2. Calculate n(y(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 165170927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2362*d + 1350*d + 15180 = 0 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than -1190379.8?\nAnswer: -1190379.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*1)\/sqrt(11).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (572\/88)\/(8\/16)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-975)\/650*((-4)\/5)\/2)\/(39\/2925).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o - 3*w - 7, -5*w - 25 = 0. What is the least common multiple of 73 and (o - (0 + 2)*1) + 7?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) + (-10)\/12. Let d = -30113148\/287 + 104924. Let m = d + 6\/41. What is the nearest to -1\/3 in w, m, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + -4 + -10 + 2. Is x bigger than -192\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 3862 = -4*m - 4*x, 0 = 2*m + 3*x - 1976. Let p be (-2)\/(-3) + m\/156. Factor -1\/7*l**2 + 2*l - p.\nAnswer: -(l - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:16 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534358667?\nAnswer: 53, 773, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-27) + (-133)\/(-9). What is the second derivative of -w + x*w**2 + 0 - 16*w**2 + 0 wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -10*a + 4. Let p(c) = 5*c - 3. Let g(x) = -36*x + 26. Let s(q) = 7*q - 5. Let m(k) = -3*g(k) - 16*s(k). Determine a*m(t) - 3*p(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m. Suppose 0 = -2*h - h - 12. Let d = -51 - -81. Calculate the remainder when d is divided by b(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*u - 28 = 0, -4*r - 41*u + 108 = -46*u. Let k(d) be the first derivative of 3\/5*d**5 + 3*d - 2*d**3 + 0*d**2 + 0*d**4 - r. Solve k(f) = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 + 2*q**2)*(-q**2 + q**2 + q**2)*(22*q - 5*q - 9*q - 3) - 9*q**5 + 111*q**2 - 111*q**2.\nAnswer: 15*q**5 - 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.02042 minutes in nanoseconds?\nAnswer: 241225200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -5*b**2 - b + 5. Let r be j(-1). Let t = r - 4. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99053416021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Let f(k) = 37*k**2 + 2. Let o be f(-5). Suppose -393 = h*u + o. What is u rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h + 30*h - 2 = -5*l, 3*h - 3 = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(70) - sqrt(70) - sqrt(70) - sqrt(70))\/sqrt(10))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1712050 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -6*i + 0*i**4 + 0*i**3 - 3\/20*i**5 - 2*i**2 + 0. What is the derivative of z(w) wrt w?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/585)\/((-2)\/(-6)) - (-1407)\/(-273).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 12:58 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Let p = 48 + -51.6. Let h = p + 3.57. What is the fourth biggest value in o, h, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**4 - 19*f**3 + 41*f**2 - 40*f + 16. Let n(h) = 6*h**4 - 18*h**3 + 40*h**2 - 40*h + 16. Let z(t) = 4*j(t) - 5*n(t). Factor z(d).\nAnswer: -2*(d - 2)**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -305 - -304. What is the smallest value in o, 57, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -89229*t**4\/4 + 356889*t**3\/4 - 89202*t**2 - 27*t = 0.\nAnswer: -9\/29743, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1788*q + 12371. Calculate a(-7).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.15589 grams to micrograms.\nAnswer: 8155890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*i + h, 5*h = 3*i - 6*i - 34. Let t(q) = 15 - 2*q - q - 25. Is t(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-18) - 24\/(-108). Suppose 0 = r + r - 8. Suppose -r*z = -3*a + 161, -4*a - y*z = -a - 149. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 189 - 98. Calculate the remainder when p is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1024 - -964 - (-81 + 21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d**2 + 2*d + 2*d - 38*d**2 + 10*d**2 to the form k*d + q + b*d**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 21 + 18. Let t = 14 - y. What is the least common multiple of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 27. Let d = k - -29. Suppose -4*s + d + 18 = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22506583597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - 1 - (4 + -7). Let t be -8 + 4 + o + 28. Solve 8*z = 5 + t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91445\/6666 + 1182\/101. Calculate the common denominator of j and 103\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 808087165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhihhih. Give prob of picking 1 h and 1 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*t**2*w + 10199*a*t*w - 48*a*t + 6367*t**2 wrt w?\nAnswer: -2*a*t**2 + 10199*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2. Let n(p) = 0*p**2 - p**2 + 3*p**2 - 4*p**2. Calculate n(y(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131696432 is divided by 965?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02285 + -0.02271372. Round u to 6 dps.\nAnswer: 0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 16 = -4*z, -5*q - 2*z + 7532 = 0. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9211 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 z(t) = -t**3 - t**2 - 3. Let p be z(-2). Which is bigger: 3\/65 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68775)\/(-50))\/(-131)*(-8)\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 1 - 1 - 5. Let f(w) = 4 + 0 - 7 + 3 + 2. What is 6*f(x) + 2*q(x)?\nAnswer: -4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26.3589 - 14.8\nAnswer: 11.5589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 187486 = 187384 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611 - 297 - 1413*l**2 - 312.\nAnswer: -1413*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 440326 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.088 + 5.212. Let u = o - 6.3. Is 2\/27 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452\/605*(-10)\/80?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4036 and -0.0619?\nAnswer: -249.8284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239 - 218. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 1. Let y(b) = b**2. Let m(o) = 3*o**2 + 2*o - 1. Let a(w) = -m(w) + 4*y(w). Let n(f) be the first derivative of a(f). Calculate h(k) + n(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*n + 330 + 855 = -5*q, 0*q - 4*q + 9 = -4*n - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 59*m**5\/4 + m**4\/3 + m**3\/6 + 33*m**2\/2 + m - 117. Find the second derivative of i(z) wrt z.\nAnswer: 1770*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -13, -3, -13, -49, -117, -223?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 5*p**2 - p**2)*(0 + p + 0) + (-1 - p + 1)*(37*p + 0*p - 9*p)*(2*p - 3 + 3).\nAnswer: -55*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/2 + 68*c**3 - 768*c**2 - 258048*c = 0.\nAnswer: -96, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*m**3*p**3 - 1421*m**3*p**2 - m**3 + 5712*m**2*p**3 - 3*m**2*p - p**3 + 2 wrt m.\nAnswer: -342*p**3 - 8526*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 10*t - 13. Let d be s(12). Suppose -15 = -5*l - i, -14 - d = -5*l - 3*i. Suppose -4*p + 16 = -5*v, p + l*v = 24 - 7. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3109 + 3109. Determine x, given that 2\/5*x**2 + 8\/5*x**3 + g + 0*x = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-1035))\/((-12)\/(-10)). Let y = 40\/207 - n. Let h = -455\/4 - -113. Sort 2\/13, y, -2\/9, h in decreasing order.\nAnswer: y, 2\/13, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * -911.\nAnswer: -24597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(2\/19)*w)\/w*w**(-5\/9)*w assuming w is positive.\nAnswer: w**(607\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(13)*-2 - (sqrt(65) + -2*sqrt(65)*2)\/sqrt(5)) + 3 + sqrt(26)\/sqrt(2)*3 + sqrt(13) + 0 + sqrt(1300) + 3.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.1847\nAnswer: 0.7388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 304414?\nAnswer: -304421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1896 - 1871.7. What is the nearest to -2 in f, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 82\/(-164) - 5865\/(-2). Let g be (1 + 0)*(1 - 1966). Let b = g + a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -919 - -653. Let z = 529 + p. What is the remainder when z is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:53 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 3 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/6)\/s)\/((s\/(s**(-10)*s))\/s)*s**7\/((s**(-1\/2)*s)\/s))**(-3\/5) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 5, s: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-20))\/(5\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*j = 19440, -3*j + 2881 + 6823 = 2*a. What are the prime factors of a?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f - 12 = 0. Find the common denominator of f + 68\/24 - 41\/150 and (-1)\/(-3)*984\/32.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-182))\/((-36)\/(-414)) - -14\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8296 and 10319?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 260855159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-14)\/n**12)\/(n*n*n*n**(-1\/14)\/n*n*n*n*n*n*n\/n**(-2\/61)))**(-1\/17) assuming n is positive.\nAnswer: n**(29003\/14518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h. Let a(g) = -1006*g**2 - g + 700. Give a(c(w)).\nAnswer: -16096*w**2 + 4*w + 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, w: 2, a: 1, l: 1, i: 2}. Give prob of picking 1 n and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*l - 3 = -69*l + 4*w, 4*w = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1623751, 3247509, 4871267, 6495025, 8118783, 9742541?\n\"Answer: 1623758*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/((sqrt(20) + sqrt(980))\/sqrt(4)) + 5 + -1 + sqrt(52).\nAnswer: 4 + 17*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3*f - 1)*(f**2 + 5*f - 5*f) + 257*f**3 + 1122881*f - 1122881*f as c*f**3 + b*f**2 + l*f + o and give c.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u**2 + 3*u + 4. Let w be g(-2). Suppose 18 - w = -4*m. What is the highest common divisor of m and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/((sqrt(99) - (sqrt(99) + (sqrt(99) - -3*sqrt(99))))\/sqrt(9)))\/(sqrt(9) - (sqrt(9) + (1*sqrt(81))\/sqrt(9)) - sqrt(81)*-4).\nAnswer: -sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 6. Suppose 3*k - 8 = -k. Suppose 3 - 13 = -2*y. Suppose -4*p = k*d - 3*p - 5, d = -y*p + 25. Calculate s(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.37 + 0.63. Let v = r + 0.4. Let d = v + -1.8. What is the second biggest value in 4, d, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**3 + 2*d - 1. Let s be j(1). Let h(t) = -4*t + 5 - 8*t - 2 + 22*t + 2*t**2. Is h(s) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.8 + -12.5. Which is the nearest to -6? (a) 2\/11 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56872960 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 2*c - 1. Let u be q(-1). What is the second derivative of 24*n + 5*n**u - 5*n - n**4 wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 21230.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -2*-2*sqrt(432) + -5 + 3 + sqrt(432) + -3 + 3)**2 + -5.\nAnswer: -288*sqrt(3) + 15551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = u - 23 + 124, 439 = 4*b + 3*u. Suppose -358 = -p - b. Suppose -3*q + 7*q = p. What is the highest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -67*m - 4. Determine o(-2).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106223633 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 110*q + 160*q - 17*q - 15*q.\nAnswer: 18*q - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75\/20*8\/3. Suppose -37 = -4*m + 5*x, 5*x = -35 + f. Suppose -3*o - 54 = -m*n, -20 = 5*o - 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**8\/1680 - i**7\/630 - 13*i**4\/12 + 15*i. Let y(s) be the third derivative of t(s). Factor y(p).\nAnswer: 4*p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*q - 10*q. Solve -a + 3*a = q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -637 + 640. What is the highest common divisor of 12 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312 and 3042?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/11)\/h*h*(h\/(h\/(h*h**(-8)*h)*h))\/h*h**(1\/5)\/(h**(-1\/2)\/h) assuming h is positive.\nAnswer: h**(-713\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3)*9)\/1. Suppose -339 = -u*l + 570. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 266*h**4 + 278.\nAnswer: 1064*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*o + 41*o - 351 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -34, -1, -64, 2 in descending order.\nAnswer: 7, 4, 2, -1, -34, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 720.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 327. Let n(f) = -7. Determine -4*n(i) - v(i).\nAnswer: 2*i - 299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 = m, 0*l + 5*m - 13 = -l. What is the tens digit of (-9)\/(l - 1) + 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -30. Let z = x + -37. Let p = -1.9 + -6.1. What is the nearest to z in -3, 3\/4, p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:09 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*t + 3*t = -28, -9*v + 93 = t. Solve 8*z - v*z = -4*s, z - 4*s = -8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + 1\/(-4). Suppose 3*f + 2*k = g, -2*k + k = 3*f. What is the third smallest value in -4, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1112 (base 15) to base 3\nAnswer: -11221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 + 2*p - 1. Let z(g) = -g**2 + g - 1. Suppose 0 = 4*v - 0*j + 5*j - 28, -4*v - 12 = -5*j. Let c be z(v). What is the tens digit of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8742244?\nAnswer: 2, 7, 43, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**9\/52920 - w**7\/4410 + w**5\/420 - w**4\/12 - 4*w. Let a(r) be the third derivative of p(r). Factor a(k).\nAnswer: 2*(k - 1)**2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573189.2 rounded to the nearest ten thousand?\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.3. Let z = 3284 + -3280. Which is bigger: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 26 + 51 + 48 + 2*t + 20 in the form d*t + b and give b.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341, -372, -409, -452?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1742*a**2*k*n**3 - 3020458*a**2*k*n - 5240*a**2*n**4 - a**2*n**2 + a*n**2 wrt n.\nAnswer: 10452*a**2*k - 125760*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006497665 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 + (-28)\/(-45). Let g = -95.134 - -95. Let i = g + -1.866. Sort r, 2\/21, i in decreasing order.\nAnswer: r, 2\/21, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 47285.\nAnswer: 945700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 5 (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 13, -59, -203, -443?\n\"Answer: -4*p**3 + 4*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-935)\/77) + (-5)\/((-140)\/1368)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*i + 69 = 3*i, p + 4*i = 68. Let k = p - 259\/4. Are k and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3349, 13621, 30817, 54937?\n\"Answer: 3462*h**2 - 114*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 921\/2290 + -1\/458. Which is the fourth smallest value? (a) -4 (b) -0.4 (c) m (d) 83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 40 = -4*l, 12*i - 9*i - 5 = -5*l for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 9\/5, -0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*4*(3 + -2). Let s be (-138)\/c + (-9)\/(-6). Calculate the highest common factor of 90 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4982295 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 20*y**3 - 8*y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 2. Let g(d) = 6*d - 5. Let j(x) = 3*g(x) + 5*y(x). Let o be j(3). What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390*p = -151*p - 1673. Let r = 6 + -3. Solve -2*u + 10 = -p*u, u = -r*s - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 7*o**2\/2 - 45*o\/4.\nAnswer: -o*(o + 5)*(o + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1359 + 859. Let x = -337 - c. What is the remainder when x is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*q*r**4 + 2*c**3*q*r - c**3*r**2 + 11*c**2*q*r**3 - 2*c**2*r**2 - 3*q*r**2 + 3*r**4 wrt r.\nAnswer: 24*c**3*q*r + 66*c**2*q + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 28*x**2 + x + 53. Let v be l(-28). Put -4, 0, v in descending order.\nAnswer: v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o. Let z(r) be the first derivative of 32*r**3\/3 - 140. Give q(z(p)).\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -w + 134. Let y = w - 96. Let i(t) = -5*t**3 + 3*t**2 - 4*t. Let u(a) = 6*a**3 - 4*a**2 + 5*a. Determine y*u(v) - 4*i(v).\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -11.98. Let h = 0.08 + m. Let u = h + -0.36. Sort -4\/3, u, 0.5.\nAnswer: -4\/3, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002802 rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {s: 1, r: 1, l: 1, c: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -518650\/21 bigger than -24698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -55*(5\/(-7) - 14\/49). Suppose 5*n - 24 = -2*k, -n - 15 = -3*k + l. What is the remainder when 349 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**9\/72 - f**8\/336 - f**5\/5 + f**3\/3 - 45*f**2. Find the third derivative of i(a) wrt a.\nAnswer: -840*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2045187\/442 - -4627. What is the common denominator of i and 50\/1989?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*f**2*h + d**2*f*h + 6*d**2*f - 10*d*f**2*h + 2*d*f wrt f.\nAnswer: -4*d**2*h - 20*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 11*d**2 + 2*d - 20. Let w be i(11). Let t = 23 - -46. Suppose 3*u = -2*u + 10, -5*r + t = -3*u. Solve -r = 3*h + w*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -23 - (-225 + 132 + 142).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {k: 9, z: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14234154 - -320?\nAnswer: -14233634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*f - 12. Suppose -5*a + f*j + 102 = 5*j, -3*j = 3. Suppose -3*h = -4*x - 31, h + 0*x - a = -4*x. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1770 = -4*y + 3*g, -3*y = -0*g - g - 1325. Is y a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -503, -1497, -3073, -5237, -7995, -11353, -15317, -19893?\nAnswer: -25087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9011360 and 96?\nAnswer: 27034080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4450 + 4455. Sort k, 3\/26, -7\/12.\nAnswer: -7\/12, 3\/26, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6075 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + -2.8. Let r = -0.38 - -0.08. Sort g, 2, r in decreasing order.\nAnswer: 2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 425216 (b) 2\/3 (c) -0.2 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 5312 = 19*u. Let c(l) = -1251*l**2 - l + 1. Let t be c(1). Let g = u - t. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 - 8 = 0. Let o = 0 - c. Find the common denominator of -95\/18 and (2 - 255\/(-6))\/o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-4)*i*i**(2\/13)\/i*i**(-1\/4)\/(i*i**(2\/3)))**(-1\/21) assuming i is positive.\nAnswer: i**(-505\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -18.6.\nAnswer: 5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v + 3. Let k be t(3). Let c be 18\/3 + -10 + k. Sort -3, 3, c.\nAnswer: -3, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7948 divided by 4.\nAnswer: -1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*t - 188, -2*t = -2*l + 2*t + 82. Let g = 56 - l. What is the remainder when 34 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2886 - -0.078\nAnswer: -2885.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*i + 4*a + 1635, -3*i = a - 1627. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1.4. Which is the nearest to 0.1? (a) -5 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-415)\/(-498)*(-1)\/(-5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617559890?\nAnswer: 2, 3, 5, 53918663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 178 + 22 - 103*y - 32*y**4 - 408*y**2 + 243*y + 208*y**3 = 0.\nAnswer: -1\/2, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79070 and 1249306?\nAnswer: 6246530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 (base 16) in base 14?\nAnswer: -1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**4 - 3*g**4 - 3*g**4)*(-8 + 12 - 6 - 6*g).\nAnswer: 6*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/3193 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 1:47 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**2 + 9*g - 51. Is 9 a factor of y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 44258*b - 885172. What is r(20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -1, 5, 0.3, -836?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 7*x**2 - 3*x - 15. Let k be r(-7). Let i be k\/9 - 6\/9*10. Let q be 8\/i*(-13)\/52. Put -0.4, 0.1, q in increasing order.\nAnswer: -0.4, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4458427, 4458426, 4458425?\nAnswer: 4458424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2772)\/682 - (3 + -4)*4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/((s**(-15)\/s)\/s)*s**(-1\/4) assuming s is positive.\nAnswer: s**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 - 684*g**4 - 24*g**3 + 4072*g**2 + 5460*g + 2052.\nAnswer: 4*(g - 171)*(g - 3)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 512659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcfcecbefcefffececv. Give prob of sequence cvb.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-10)*(-140)\/(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/9 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*c - 5564 - 4936 = 0 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 11*l**2 + 18*l + 1. Let r be c(9). Let j be -2*r\/(-3) - 2\/3. Solve j = 2*w - 4, 2*w = -h + 5*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 - 3. Let f(w) = -w**2 - 1. Let r(q) = 3*f(q) - m(q). Let x(s) = -128*s. What is r(x(a))?\nAnswer: 32768*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c. Let o be l(-2). Suppose 0*n = -2*n + o. Let w(x) = 38 + 8*x - x**n - 39 - 8*x. What is w(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:28 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by -85\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(78)\/sqrt(6) + -4 + 3 + 2)*-6.\nAnswer: 12 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -163, -192, -229, -274, -327?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 + -43. What is the greatest common factor of 51 and z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 38. Let b = u - -17. Calculate the remainder when b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 1680 = i. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1187328.\nAnswer: -593664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5362374, 10724746, 16087118, 21449490?\n\"Answer: 5362372*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlwllwllllwlwlll. Give prob of sequence lwl.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o + 2. What is m(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -86, -72, 16, 202, 510, 964, 1588?\nAnswer: 2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17562 <= 17564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -9*i**4 - 4*i**3\/3 + i**2\/2 - 2*i - 430. Let w(v) = v + 3. Let t be w(-5). What is the hundreds digit of x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.2 - -22.2. Suppose 2*b = 11 + 29. Suppose 13*n = 9*n - b. What is the nearest to w in -2\/17, 1\/8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 10*p - 6. Let q be f(8). What is the common denominator of (3\/6)\/(8\/q) and 67\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/57, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1127*k**5 + k + 12993.\nAnswer: 22540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 4*v + 7. Let r be q(-6). Suppose -3*i + 728 = 5*g, -5*g + 147 = -4*g + 2*i. Let z = g + r. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(528) + sqrt(33)) - sqrt(33))\/(4*(sqrt(18)\/sqrt(6) + sqrt(3))).\nAnswer: 29*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) - 36\/(-3). Let w = 0 + i. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0)\/(5 + -8). Suppose s = -5*r - 3*o + 66 - 5, 3*r + 4*o = 30. Let j(x) = 3*x**2 - 63*x + 62. What is the lowest common multiple of r and j(20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -113674, -226849, -340024, -453199, -566374, -679549?\n\"Answer: -113175*h - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoo when three letters picked without replacement from {z: 5, o: 15}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -9*f**2 + 1\/300*f**5 + 0 + 0*f**3 - 1\/120*f**4 + 0*f. Factor v(k).\nAnswer: k*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7)*c*c**(-2\/45)*c)\/(c*c**6)**(-32) assuming c is positive.\nAnswer: c**(71131\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 0 (b) -5 (c) 5 (d) 2\/47 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.01 + -0.01. Let h = -3.00000042 + b. What is h rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13730000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1108 divide 1392756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/16))**(-10))**9 assuming j is positive.\nAnswer: j**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 2:43 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38492*l**3*z**2 + 168*l**2 + 3*l*z**2 - 5491*l*z + 27*z wrt l.\nAnswer: -230952*l*z**2 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*p - 42, -p - 6 = -3*p. Suppose 0 = 3*z - l - 3. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*t + 2. Let r = t + -1. Which is greater: r or -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-15 + -2 - -18 - 28) - -79?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 414 by 3.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f - 36, -f = -4*m + 1237. Let i = m + 245. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.87228 rounded to one decimal place?\nAnswer: 425.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5702379590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 293, -4, -3, 36, 1, 2 in decreasing order.\nAnswer: 293, 36, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 21. Calculate h(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -603.00981 - -603.1. Let f = -0.4 + 0.49. Let k = f - w. Round k to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/7 of a week?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -266 - -464. What is the tens digit of 33528\/u - (2\/6 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8271*-2.\nAnswer: -5.6542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 - -2. Let p = 2463.04 - 2371. Let u = -92 + p. What is the third smallest value in u, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + -51. Let t be -89 - 3*(-4)\/(-12). What is the remainder when y is divided by (-2)\/8 - t\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vww when three letters picked without replacement from gwggwwvwgvvvgvggv.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -34, -0.4, 0.2.\nAnswer: -34, -0.4, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2683*t**2 - 11*t + 2063. Let n(l) = -893*l**2 + 4*l - 687. Let f(i) = 6*m(i) + 17*n(i). Differentiate f(h) wrt h.\nAnswer: 1834*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 1 + 2*o**2 + 1 + 3*o - 2*o**4 as y*o + m*o**3 + v + r*o**4 + p*o**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 1451?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-16\/7)\/(q**26*q) assuming q is positive.\nAnswer: q**(-205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*l = 880. Let k = l + 174. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyk when four letters picked without replacement from ykyyyyykyyy?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, 97565480.\nAnswer: -1, -0.5, 97565480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jza when three letters picked without replacement from ljaaezx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51860)\/103720)\/(((-11)\/4 - -2)\/(-9 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 295, 333, 393, 475?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 13) to base 10.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433982746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*o**3 + 96*o**3 - 188*o**3 + 8*o**2.\nAnswer: -3*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*k + 3 + (-1 - 2 + 4)*(-74*k - 362 + 362).\nAnswer: -72*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 7*m + 4. Calculate d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*i - 6*i. Let s(t) = 16*t - 3. What is the remainder when s(i) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -4*o**5 + 2*o - 25. Differentiate n(r) with respect to r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (707\/(-202))\/(14\/(-268)) is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -756 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 280\/30*9\/(-6). Let x = -1.8 + 1.4. Let s = 2.1 + -2. Which is the closest to -0.1? (a) s (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/13 + 349962*f**2\/13 + 2099716*f\/13 + 2799600\/13 = 0. Calculate f.\nAnswer: -174975, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y**3 - y**2 - 4*y - 4. Let q(c) be the first derivative of c**3\/3 + 2*c**2 + 2*c + 12. Let p be q(-2). Is 14 a factor of t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w - 11. Let f(c) = 5*c. What is f(j(a))?\nAnswer: 35*a - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.21966 micrograms to grams.\nAnswer: 0.00002721966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3489365 divided by 697873.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465, 1140, 2023, 3114, 4413?\nAnswer: 5920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z - 13*z = -448 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-20)\/(-24))\/(3\/9). Let l(f) be the first derivative of -3 + 5\/3*f**3 - f**2 + f - n*f**4. What is l(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 4 = -3*d - 1, -17 = 6*q - 2*d - 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 11 = -22*o. Let c be (-6 + o + 8)\/((-1)\/(-2)). Factor 9\/5 - p**c + 3\/5*p + 1\/5*p**3.\nAnswer: (p - 3)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*(-11 + -1). Let y be 1 - (1 - (-8)\/a). Let h = -366358 - -1099079\/3. What is the nearest to y in 3, h, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:49 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -71. Is -0.7 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*n = -407*n + 2758 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 630001 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 5. Let c be a(3). Let v = 82 - c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 3*k - 40. What is w(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 575 - 287. Suppose 3*n - w = -48. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 4*sqrt(176)\/sqrt(4) + 2)**2.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-444)\/(-114) + (-4)\/(-38). Put -41, z, 2, 1 in increasing order.\nAnswer: -41, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360, 360, 366, 384, 420, 480, 570?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 498 + -491. Let r(k) = 25*k**3 + 9*k**2 - 2*k - 3. Is r(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10330434 (base 5) to base 15.\nAnswer: 1b7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*w)*(-w - 2 + 2) + 32821 + 102*w**2 - 32821 - w**2 + 0 + 0 + (-w - w + 3*w)*(-4*w + 2*w + 0*w) - 3*w**2 - 4*w**2 - 5*w**2.\nAnswer: 89*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 14 = 4*j, -23*j - 4*n - 40 = -18*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 22*g + 21. Let m be p(15). Let n = 530 - m. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -152\/3. Put -0.5, 5, c, 0 in decreasing order.\nAnswer: 5, 0, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 + 221 + 3*l**3 + l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 13 = 50 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -529187\/182240 - 14\/5695. Find the common denominator of 83\/44 and y.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-18))\/(10\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + d = -1, 0*p + 2*p + 2*d = 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**5 - 2*y**4 + y**2 - 2*y + 2. Let u(l) = 5*l**5 + 16*l**4 + 140*l**3 + 4*l**2 - 8*l + 8. Let b(d) = -12*i(d) + 3*u(d). Factor b(m).\nAnswer: 3*m**3*(m + 10)*(m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*a + 1285*a - 2194 - 39 = 574*a for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-18)\/(i**(1\/11)\/i) assuming i is positive.\nAnswer: i**(-188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/9*r**3 - 8\/9*r**5 - 16\/9*r**2 + 4\/9 + 0*r + 4\/3*r**4 = 0. Calculate r.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -256, -522, -794, -1072, -1356, -1646?\n\"Answer: -3*o**2 - 257*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z + 56*z - 520 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggcgggcgggcggcgcgg. What is prob of picking 3 g and 1 c?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 31 = -5*l - 29, -5 = 5*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.053? (a) 2\/3 (b) 0.4 (c) 5 (d) 28\/17 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 175\/6217?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 21 + 3)*((0*m - 6*m + 4*m)*(11 + 3 - 1) - m + 1 + m + 6*m) to the form x*m + z and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-636189)\/(-3))\/(1\/5*(-25)\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20212410 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -69670 divided by -1?\nAnswer: 69670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4733 - -4741. Calculate the lowest common multiple of v and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 2.96. Let f = 14.4 + -15. Let a = f + 1. What is the second biggest value in a, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p + 43. Let i(k) = 3*k - 14. Let n(f) = -7*i(f) - 2*t(f). Calculate n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30041?\nAnswer: 11, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4.1, 2, 78, -1, -0.5, -1\/7?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -7291071?\nAnswer: 17\/7291071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*s - 15 = 8, -1 = z - 2*s. Suppose -15 = 3*a, z*x - 2*a = -2*x + 85. Solve x + 1 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazzzzazzzzzzzazza. What is prob of sequence zzzz?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*t**3 - 315*t**2 - 312*t + 676.\nAnswer: -(t - 1)*(7*t + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 13*s**6\/120 + 10*s**4\/3 + 1117*s**3\/6 - 8196*s**2. What is the first derivative of b(p) wrt p?\nAnswer: 39*p**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3681 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 10*u - 3*u - 535. What is the remainder when 414 is divided by u?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(54)*2).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.29 and 3.1.\nAnswer: -0.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 11*m - 20. Solve m*h = h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (11 - (-4 - (17 - (-6 - -22))))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = w + 121. Suppose 15 = 2*l - 4*j + w, 5*j + 5 = 0. Solve -29 + 3 = 4*d - 2*o, 3*d + 3 = -l*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**4\/12 - 8*w**2. Suppose 2*o - 8 = -3*k, 0*o + 2 = -k + 4*o. Let m(p) = k*p**2 + 2*p**2 - 8*p**2. Calculate l(m(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 5*f**2 + 5*f. Determine t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293205234 divided by -12666.\nAnswer: -23149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 9 - 7. What is the nearest to j in 0.2, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4321 - 4321. Which is the fourth smallest value? (a) 1.1 (b) -2 (c) 2\/21 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**2\/2 - 1. Let k(f) be the second derivative of f**3\/3 + 35*f. Give k(j(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 91.24045mm?\nAnswer: 91240450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/12320)\/((-2)\/5)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 + 1. Let l be k(7). Solve z - l = 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 s when three letters picked without replacement from {b: 5, p: 3, y: 5, s: 1, r: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1416 and 111\/16874.\nAnswer: 202488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by -11065.\nAnswer: 264\/11065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1900192 and 23\/10472.\nAnswer: 20902112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9962063957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 2*s**2 + s. Let m be c(0). Suppose -4*p + 4*p + 2*p = m. Let j(x) = -x + 12. Let u be j(5). Is u < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sasa when four letters picked without replacement from {a: 4, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -9, -3*f = -f - 4*c + 10. Suppose 0 = -5*d + 1 + 9. Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -6 + 1 + -2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - (-100)\/(-12))*45. Solve 46*n = 52*n - h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 176929 and -645.\nAnswer: -114119205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*q - 10, 5*c + 3*q + 2*q + 25 = 0. Suppose -11*j + 18*j + 14 = c. Let k(p) = -6*p - 5. Calculate k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8176.783 kilometers to micrometers.\nAnswer: 8176783000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -3)*(-18272)\/(-64) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (3 + -1 - 120). Let d be ((-8)\/(-5))\/((-48)\/p). Suppose 82 - 358 = -4*f - 4*n, -2*f = d*n - 132. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/20)\/((-3)\/(-8)). Suppose 4*o - 12 = d*o. Let k(f) = -7*f**2 - 6*f - 6. Let v(p) = -20*p**2 - 17*p - 17. Calculate o*v(h) + 17*k(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d258 + 1b5?\nAnswer: -4d083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.241 - -4.189. Round f to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1, 19, -6 in descending order.\nAnswer: 22, 19, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*k + 11, 5*a + 3 = -3*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*r - 473*r - 873*r.\nAnswer: -1089*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 35*h**5 + 2530*h**4 - 1835*h**3 - 730*h**2 = 0.\nAnswer: -73, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**0*b)**(2\/127))**(5\/11) assuming b is positive.\nAnswer: b**(20\/1397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - 3787\/(-28). Suppose j = -6*z + 11*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1531*o - 4448. Does 240 divide g(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19058.97 - -19059. Let q = -37 - -5. Which is the closest to 1? (a) q (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + i - 6334 = 0, 13*i - 17*i - 6334 = -2*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(136)*-2 + sqrt(136) - (sqrt(136) + 5*(sqrt(136) + (sqrt(136) - sqrt(136)*1))))\/(sqrt(1152) + -5*(sqrt(1152) - sqrt(1152)*1)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**5\/270 + 25*h**4\/108 + 8*h**3\/9 - 4*h**2 - 121. Solve k(r) = 0 for r.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v + 20*v + 33*v + 16*v + 28*v - 127*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m - 2. Let w be (-1 - m) + (-3)\/(-18). Which is bigger: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 401 - 852?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 760914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38.7173 and 0.3.\nAnswer: -11.61519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1346 less than or equal to 2724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*d**2 + 3814*d - 45*d**2 + 1048*d + 173*d**2.\nAnswer: 245*d**2 + 4862*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 1 + 1 + (-2*r + 2*r + r)*(-1 + 1 + 4))*(-24 + 5*r + 24).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*i**3 - 531*i + 750*i - 2 - 219*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - 86. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 = 5*k - 2*k, c + 3*k - 7 = 0. Let h be (c\/(-4))\/(4\/(-56)). Calculate the remainder when (1 + 2 + -4)*h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-5 - -4) + 169. What is the remainder when 1\/(176\/m - 1) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c + 24 = 0. Let g = 413 + -395. What is the smallest common multiple of c and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3668 + -a?\nAnswer: 365c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 4:50 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148894 - -69067. Let q = h + 133827. Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 8. Suppose 5*f = m - 46, -5*f + 24 - 7 = z*m. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/28*48\/54.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -63 + 2*l**2 - l**3 + 88 + 4*l**2 + l. List the prime factors of g(-5).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2843, -2780, -2715, -2648, -2579?\n\"Answer: i**2 + 60*i - 2904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 d, and 1 c when four letters picked without replacement from tgdgtdadgaadddcadc.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.36, 2, -0.4, 8, 10\/13, 0.31?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 619 and -0.3.\nAnswer: 618.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 2*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000092614312 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*i**3 + 556*i**2 + 1792*i + 1280.\nAnswer: 4*(i + 1)*(i + 8)*(11*i + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2\/10)\/(18\/45). Let a be -1*6*n\/(-4) + -1. Solve -2*p**3 + 5*p**a + 4 + 3*p**3 + p**2 - 19*p + 28*p = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1820 and 336.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17774, 34720, 51672, 68630?\nAnswer: 85594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w. Let z(l) = 26*l**2 + 5550*l. Give q(z(m)).\nAnswer: -260*m**2 - 55500*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.046, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.3. Let w = 4 - -4. Let g = -5 + w. Which is the closest to 0? (a) p (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**8\/7560 - w**7\/1890 + w**6\/1620 + 3*w**3\/2 + 19*w**2. Let c(j) be the first derivative of l(j). Factor c(p).\nAnswer: 2*p**2*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*q**5 + 64*q**2.\nAnswer: -3900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-3)*(-72)\/168\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 2752.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 198957 and 198958 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 87*k**4 - 85*k**3 - 87*k**2 + 86*k.\nAnswer: -k*(k - 86)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f\/(f\/f**(2\/13)))\/f)**(-2\/83)\/(f*f\/f**(-1\/6))**(-4))**(-2\/117))**28 assuming f is positive.\nAnswer: f**(-1570352\/378729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 3, -0.15, 2\/5, 5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32\/631907, 3, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655 a factor of 560929815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - 36. Let u be (10\/20)\/((-1)\/(-12)). What is the greatest common divisor of x and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007844147 to 7 dps.\nAnswer: -0.0007844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) - 202\/(-8). Let b(c) be the first derivative of -5*c**2\/2 + 70*c + 32. Let a be b(13). Calculate the greatest common divisor of a and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3825448187?\nAnswer: 11, 839, 414503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:44 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 15 = -3*o, -23 + 8 = -o - 3*m. Let h be (-4)\/(-10) - (-266)\/10. Suppose o = 4*g - 5*i - 23 - 33, -g = 2*i - h. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -2*(-20)\/(-8). Suppose h*k - 16 = k. Let j(b) = 3*b**2 - 2*b + 1. Calculate the remainder when j(3) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1322320?\nAnswer: -1322311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320*q**2 + 124*q**2 + 3098*q**3 + 158*q**2 - 3881*q**3 wrt q.\nAnswer: -4698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17239 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 bigger than -68069\/2448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1) + -2 + 1. Let l be (x\/3)\/(4\/(-90)). What are the prime factors of l*(1 - (3 + -3))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -386*o + 208. Let x(g) = 43*g - 22. Determine 6*w(k) + 57*x(k).\nAnswer: 135*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r*r*r**(-5)*r*r*r)\/(r**7*r**7)*(r**(1\/6)*r*r**(-4\/3))**47 assuming r is positive.\nAnswer: r**(-155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1000001110001101100111 (base 2) to base 16\nAnswer: -20e367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by 21369\nAnswer: 160\/21369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2209422179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.64*0.01.\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p = 4*t - 308, 4*p = 5*t + 7*p - 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2274 is divided by 66.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 155.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4760, -7317, -9874?\n\"Answer: -2557*l - 2203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 132 = -3*v. Suppose -4*q + q = v. Let i = q - -20. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4\/5)*z)\/z)**(1\/18))**33 assuming z is positive.\nAnswer: z**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -613*o - 7842. Determine g(-15).\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (35\/(-15))\/(2\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/23712 and -161\/1248?\nAnswer: 23712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13552 or 1002925\/74?\nAnswer: 13552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*v - 38 + 38)*(-1 + 3 - 1)*(2 - 1 - 5) as m + z*v and give z.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 144 = -17*f + 14*f + 6*f, 107 = 5*b - 2*f for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, -0.4, 0.798, 8, 0.25 in ascending order.\nAnswer: -0.4, 0.25, 0.798, 8, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 20 + 12*y - 59 + 15 + 11.\nAnswer: 12*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*s - 4*s - s**3 + 0*s**3.\nAnswer: -s**3 - 77*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530124631?\nAnswer: 23, 23048897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b. Let c(o) = -1081310*o. Give c(v(r)).\nAnswer: -8650480*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 10. Let s be c(-10). Suppose 0 = 10*v - 24*v - 1428. Let w = s - v. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.539 and 27442?\nAnswer: -42233.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8*4\/(-3). Let d = -4 - -4. Let t be (-1 + 2)\/(4\/(-20)). Which is the second biggest value? (a) t (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 565 + -1548. Let g = -622 - q. Suppose -4*p + 5*w = -g, p + 4*p = -3*w + 442. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1100\/175)\/11*42\/2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 5*k - 21. Let x be r(3). Let c = -24 - -40. Let y = x - c. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2803*s**2 + 5614*s**2 - s - 2805*s**2 - 6*s.\nAnswer: 6*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*l - 41, 2*l - 4*l = 2*q + 24. Let t = 0 - q. Calculate the remainder when 21 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37490 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 6*n + 3*m + 1023 = 0, -4*m - 344 = -n. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2306 + -2279. Suppose -2*v - v + 5*r = 7, -21 = 4*v + 5*r. Let a be (-4)\/(-16) + (-35)\/v. What is the greatest common divisor of b and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -148279 or 199.1?\nAnswer: 199.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 5, -5, -285, 3 in descending order.\nAnswer: 5, 3, -5, -70, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1.4245?\nAnswer: 0.42735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x - 30. Let v be 5 + -3 + 1414\/x. Let o = v + 136. What is the common denominator of o and -17\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k + 78. Let j = k + -18. Let n(z) = -z**3 + 9*z**2 - 6*z - 7. What are the prime factors of n(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/62 + 1075536\/341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.48948 nanometers in micrometers?\nAnswer: 0.04048948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*o - 0*n - 2, 0 = -o + 4*n + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 15*u**3 - 3*u**2 - 5*u + 5. What is the remainder when 316 is divided by z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-327)*18\/40*7740\/(-2322)\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 31956000 to the nearest one hundred thousand.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/27 - 101*6\/(-9)*(-80)\/(-96). Factor -1\/3*z**2 - 26\/3*z - h.\nAnswer: -(z + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 28*z - 45. Let p be g(-23). Suppose m - p = -6*m. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 882*d**3 + 9 + 738*d**3 as j*d**2 + i*d**3 + b + g*d and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1088)*1 - -2*sqrt(1088)*-2) + 1)**2.\nAnswer: -192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 150*p - 5973. Let r be m(46). What is the greatest common divisor of r and 2060?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + -97 - (-38 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79299636 or 79299638?\nAnswer: 79299636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 7*i - 1.\nAnswer: -7*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2 + (-1748)\/552. Let u = -0.14 - 18.86. Is u less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101110011010100 - -101000010?\nAnswer: 1111101111000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 3 + 3)*(0 - b + 0)*(-10*b**2 - 25*b**2 + 6*b**2) as m*b + f*b**3 + r*b**2 + s*b**4 + l and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -u - 7, 2*u + 21 = -37669*c + 37666*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.03 + -27.03. Let u(d) = d**2 - 8*d + 8. Let l be u(7). Let s = -13 - l. What is the closest to 0.2 in s, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:05 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/80*(1 - 13\/(-2)). What is the tens digit of 7 + (-4 - -1) - (k + -372)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -4. Let g(z) = 2*z**3 + 4*z**2 + 3*z + 1. Let l be g(p). Which is bigger: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 229, 517, 949?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4*-2*sqrt(99) - (sqrt(99) + sqrt(99)*2*-2)))\/(5*(sqrt(9) + sqrt(81)) - (sqrt(9) + (sqrt(1296) - -1*sqrt(1296)))).\nAnswer: 11*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let l be -24*(4 + -3)\/(-1). Let x = l - 19. Suppose 0 = x*d + 10, 3*d - 56 = -5*p + d. Solve -p = -3*s + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {p: 1, z: 1, u: 5, i: 2, s: 4, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k + 4. Let w be 6\/(-8) + 0 + 136\/(-32). Let a(f) = 12*f - 5. Let h(g) = w*t(g) - 4*a(g). Let q(y) = 3*y**2. Calculate q(h(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 167*d**3 + 459*d**2 - 6. Let o(f) = -167*f**3 - 464*f**2 + 7. Let k(x) = -7*n(x) - 6*o(x). Find the third derivative of k(z) wrt z.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 1943 = 91*o - 38*o for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 17. Suppose 0 = -b*a + 38 - 13. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 d when four letters picked without replacement from {d: 5, b: 11}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 4*s**2 + 3701*s - 14831. Give u(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 70?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 - -1) - ((-7 - -2) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.05 and 1?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 21 in decreasing order.\nAnswer: 21, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3630.286 millennia?\nAnswer: 43563432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 600\/(-48)*2\/5 - 157\/(-31)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 17*j - 4. Let g be v(2). Let o be g\/(-8) - (-39)\/52. Let p be (4 - 7)*o\/(-36)*2. Which is the closest to -2? (a) 0.3 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/5 - 4139682*t\/5 - 4139679\/5.\nAnswer: -3*(t + 1)*(t + 1379893)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3169 times 8935\nAnswer: -2831.5015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((280\/(-21))\/8)\/(320\/(-576))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 133, 200, 267, 334, 401?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*s + 10 = k, 5*k - 3*s - 37 = 0. Suppose 3*r - h - 27 = -10, k*h - 5 = -3*r. Suppose 0 = -4*q - o + 2838, -r*q + 3*q + 1416 = -o. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/43? (a) 1 (b) -74 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 276729174 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/(r\/(r**12\/r*r*r)))))\/r*r*r**(2\/3))\/(r**(-2\/9))**(-7))**(-1\/5) assuming r is positive.\nAnswer: r**(-109\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 - 111. Suppose 15*q + 9 = u*q. Solve -12*c + q = -9*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38418?\nAnswer: 2, 3, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4621160*b + 6573*b**3 + 4621160*b - 2*b**2 as x*b**3 + p*b + g*b**2 + i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, j: 1, z: 3, k: 4, e: 4}. Give prob of picking 1 e and 1 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*v**3 - 39*v**4 + 41*v**3 + 35*v**4 - v - 16*v**2 in the form p + i*v**3 + t*v + c*v**4 + b*v**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 128, 2, -186, -466, -868, -1422, -2158, -3106?\n\"Answer: -5*c**3 - c**2 - 88*c + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18509 - -9473. What is the thousands digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33457813 + 49457811. Suppose 6*n + m = 4*n. Let c be n\/(-2) + (-1)\/(-2). What is c rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddff when four letters picked without replacement from dffffffffffddfdddf?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 + 7*d + 7. Let g(b) = 2*b**2 - 4*b - 4. Let s(z) = 4*f(z) + 7*g(z). Let t(n) be the second derivative of n**4\/3 - 216*n. What is t(s(a))?\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Suppose -p - 6 = -t*p. Let x(i) = -i + 4. Let l be x(p). Let o(y) = -3*y**2 - y. Give o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 8*w**2 - 2*w - 8. Let o be z(-8). Suppose 0*f - 183 = -3*f. Suppose -4*p + 221 = f. What is the highest common factor of o and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(14\/(-6)) + 2465\/2975.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 185 and 0.4271.\nAnswer: 185.4271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09015393 rounded to 3 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*h + 4*h + 25, 5*h + 55 = q. Suppose -6*i - 6 = -156. Let a be (-129)\/15 + (-10)\/i. Which is greater: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 20*c**2 - 6*c - 18. Let d be z(-10). Let x = -15 + d. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 - 4*j**4 + 14097*j**3 - 412*j**2 - 4581*j wrt j.\nAnswer: 60*j**2 - 96*j + 84582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.1078 and 4.\nAnswer: 2.8922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 - 6*y - 11. Let p be k(8). Let w(l) = 7*l + 4. Let n(o) = 6*o + 3. Let f(r) = p*w(r) - 6*n(r). Suppose 7 + 13 = -4*a. Determine f(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-1) + 4 + 2. Let r(l) = l**2 - 9*l - 9. Let s be r(13). Suppose 4*y - 4*o = -y - s, 0 = 5*y - j*o + 49. Is -11 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -55092?\nAnswer: -55099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(6 + -4 + 0). Let d = 16 + r. Calculate the remainder when 52 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a**5 - 37*a**3 + 1213*a**2 - 2 wrt a?\nAnswer: -540*a**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 103*k**2 + 77*k + 154. Let u be n(-102). What is the greatest common divisor of u and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 508*i**3 - 2*i**2 - i + 6. Calculate r(-2).\nAnswer: -4064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/616 and 95\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120011000 + -221011?\nAnswer: 1112012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3470, -6445, -9420, -12395, -15370, -18345?\n\"Answer: -2975*j - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12*a**5 - 5*a**3 + 24*a**2 - 5*a + 2. Let n(v) = v**5 - v**3 - v. Let f(u) = 5*n(u) - t(u). Find the third derivative of f(y) wrt y.\nAnswer: 1020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*p - 13 = 0, 5*d + 65*p + 13 = 63*p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 393.582 - 21796\nAnswer: -21402.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 300743071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/(0 - (-10)\/(-3)) and ((-72)\/672)\/(1\/64 - 0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27094 and 1426.\nAnswer: 27094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:02 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*z + 30, a = -4*a - 3*z + 18. Let t(s) = -3*s + 6. Let n be t(a). Let g be (-5)\/2*n\/10. Which is bigger: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 + 4*v**3 - 36*v**2 - 36*v = 0. What is v?\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44837795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 7*f**3 - 9*f**2\/2 - 16*f - 7. Is g(-3) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 11*q - 15. Solve q*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - -2*1*sqrt(720)) + 5 + sqrt(720) + sqrt(720) + -1)**2 - 4*-2*sqrt(125)*1.\nAnswer: 520*sqrt(5) + 18016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536429216 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -2\/11, -0.8, -2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 24 = 3*y + 19*n, 0 = 2*y + 3*n - 21. Solve -12 = -p + 5*v - 3*v, 2*p - y*v - 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*r - 10 = 3*r, 4*r + 1 = u. Solve -28 + 3 = -u*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -9. Let q(f) = -2*f**2 + 6*f. Determine q(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2236 - -4524?\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177\/10 + 503\/40. Find the common denominator of s and 27\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 214 - 116. Let d = 42 + s. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11694 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - -1 - (10 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + p - 32. Let b(n) = -3*n**2 - 2*n + 30. Let t(w) = -4*b(w) - 5*f(w). Differentiate t(d) with respect to d.\nAnswer: 4*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-48))\/(1\/(-20)) + -1. Do -2\/7 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2003 + -1996. Which is the fourth biggest value? (a) -0.5 (b) -0.1 (c) 1\/2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 8. Let h be (0 + (-8)\/(-6))*-6. Let t be z(h). Let d be 1 + (23\/(-7) - -2). Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -254*s - 42. What are the prime factors of a(-5)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1\/3 + (-68 - -68).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghh when three letters picked without replacement from qqhfwhhhhwqgqqwht.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.378 + 0.118. What is u rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1100 and (377\/(-26) - -15)*122\/(-20).\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 2*x**4 + x**4 + 3*x**2 + 2*x**4 - 3*x**2 + (2*x**2 + 0*x**2 + 0*x**2)*(0*x - 2*x**2 + 0*x).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 + -67. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g = 36*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4\/7 - 34*f**3\/7 - 8*f**2\/7 + 136*f\/7 = 0.\nAnswer: -2, 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3555\/(-570)*2\/(-3) + -196 + 192.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 9760312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11167 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:47 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137237, -137241, -137245, -137249, -137253?\nAnswer: -137257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*w + 10, 4*d + w - 20 = -6. Let m = -22.9 + 20. Let v = m + -0.1. Which is the third biggest value? (a) v (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922180*p - 192 = -922164*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 9*y**5\/20 + 231*y**4\/8 - 105*y**3\/4 - 39*y**2\/2 - 302. Find d such that h(d) = 0.\nAnswer: -52, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16223295*s + 3577479 wrt s.\nAnswer: 16223295","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(((-9)\/(-45))\/(144\/(-30))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-33)\/(-9)) + (-468)\/(-621)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 + 4*a. Let r(g) = -2*g**2 - 3. Let j(q) = -q**2 - 1. Let x(t) = 3*j(t) - r(t). Determine x(h(y)).\nAnswer: -25*y**4 - 40*y**3 - 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 divided by -23.\nAnswer: 123\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78.39 - 3.71. Let j = 82 + w. Which is bigger: j or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -4. Let o = -164 - -168. Put -3, m, o in decreasing order.\nAnswer: o, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvvnnvnnvn. Give prob of picking 1 n and 1 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*l - 60 + 220*l + 222*l - 706*l - 109.\nAnswer: -26*l - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 10*d**2 + 22*d - 1. Let j be r(-6). Solve -3*w + 11 = -5*v, 4*v + j + 11 = -2*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 - 266\/(-21))\/((-2)\/(-168)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x + 3*b = -25, 5*b = -5*x + 50. Suppose 5*o + 12 + x = h, -h = -o - 7. Let j be 1*(2 + -1) + h. Solve j*r - 15 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2 + 5*i + 12. What is k(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -12*d + 60. Let l be 30\/9*18\/d. Solve 0 = 2*p - l*p + 9, 4*p = -3*i + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 26*s + 47597. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 9. Let r be (t\/(-6))\/(1 + 1). Which is the closest to r? (a) 0.3 (b) -2\/13 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 0)*18\/(-12). Let w = q + 6. Suppose -4*o - 36 + 108 = w. Calculate the smallest common multiple of o and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5867373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 5, -1, 11 in ascending order.\nAnswer: -1, 5, 11, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 5*t**2 + 12*t**2)*(0 + 2 - 1) + 3*t**2 + t - t.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let n(m) = -109*m - 10. Calculate o(n(x)).\nAnswer: 109*x + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 14*q**2 + 8*q + 2. Let g be x(4). Solve 12*o - 2 = g*w + 9*o, -3*w + o = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 73*v - 84*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 7) in base 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**3\/f))\/f)**(4\/11) assuming f is positive.\nAnswer: f**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8\/4*4\/(-48)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 499, 753, 1011, 1273?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4445982 and 24166?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1108500 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -753 - -749.97. Let u = m - -2.63. Which is the fourth biggest value? (a) u (b) 4\/3 (c) 2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 902008\nAnswer: 3\/902008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 592*h**2 - 20*h**3 - 1174*h**2 - 4*h**5 + 16*h**4 + 590*h**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13321770336077 less than 6?\nAnswer: 13321770336083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 l when four letters picked without replacement from {p: 1, c: 11, l: 5}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/241, -1\/3, 1, 0.05 in descending order.\nAnswer: 1, 0.05, 8\/241, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -53?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -12) + (0 - -2 - 11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 2. Let d(v) = -16*v + 181. What is d(z) + 5*l(z)?\nAnswer: -z + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/6 and -14\/1273505727.\nAnswer: 2547011454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9676, -9680, -9684?\nAnswer: -9688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*q = -12. Suppose 0 = -m + 3*d + 11132 + 662, -5*m + 58996 = -q*d. Round m to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)\/sqrt(4))\/sqrt(2) + 0 + sqrt(76) + sqrt(19))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 56*c. Let i(n) = -25*n. What is i(a(x))?\nAnswer: -1400*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -1553\nAnswer: 1708.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 199742308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1078 and -79\/126.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.47492038 rounded to 1 dp?\nAnswer: -45.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -102, -822, -2776, -6582, -12858, -22222?\n\"Answer: -103*i**3 + i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**4 + 2*y. Let p(z) = -55*z**4 + 4*z**3 + 12*z + 354. Let i(u) = 6*o(u) - p(u). What is the first derivative of i(t) wrt t?\nAnswer: 196*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - -4.88. Let q = -167 - -271. Let b = 103 - q. What is the nearest to b in -0.5, j, 3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153062 is divided by 842?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 528897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*a*r**3 + a*r**2 + r**3 + 393*r**2 wrt r.\nAnswer: 144*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 125130431 (base 6) to base 5\nAnswer: 1114001340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 102*r**3 + 16*r**2 + 29*r + 8. Let l(v) = 34*v**3 + 6*v**2 + 10*v + 3. Calculate -3*g(a) + 8*l(a).\nAnswer: -34*a**3 - 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 30, -0.5, 39.4, 3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59749\/69 + -41\/69. Let v = p + -887. Is v bigger than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4529 and 2394.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1568*h + 5281*h + 131489 - 46090 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1127 - -5287.\nAnswer: 4160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/9 and 6\/27 + 34\/(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/123690 and -54\/6181?\nAnswer: 109218270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 204?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 1544481 + 19221 = 0. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -15.3. Let q = c - 1.5. Let d = 4 + -17\/4. Sort q, 1\/5, d in descending order.\nAnswer: 1\/5, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p - 5. Let y(w) = -9*w - 10. Let x(g) = -13*r(g) + 6*y(g). Suppose -3*o = -7*o + 24. Calculate x(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 4. Suppose -l - 2 + s = 0. Suppose f - 4*f = -30. Solve -4*r + f = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (4 - ((2 - -17) + -9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 50. What is a(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 > -8066\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 120.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0.03 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 20*a. Let s be f(1). Let l(c) = 13*c - s*c + 12*c + c**2 + 1. What is l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 i when four letters picked without replacement from ibbgbggb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - ((26 - 14) + -43).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 5*z - 4*z + 11*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + c + 1. Let w(o) = o - 1. Let v(y) = 5*y**2 + 5*y - 2. Let s(l) = v(l) - 4*w(l). Calculate -2*s(m) + 3*z(m).\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12 - (3 - (-13)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.96 + -0.04. Let w = 44 + -40. Which is the third biggest value? (a) w (b) h (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)*(-4 + -1). Let r(j) = 1 - 2 - 4 - 942189109*j + 942189108*j. Give r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-15) + 850825\/125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 3:15 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g + 8 + 4 + 19 - 5. Let t be y(7). Find the first derivative of 14 - t + 11*u**4 + 4 + 1 wrt u.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 9*o - 39 = 0. Suppose 0 = 8*d - 10*d + 2*r + 22, -o*r + 9 = 4*d. Solve i + d = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12288)\/(-168) + (48\/7)\/(-6). What is the greatest common factor of q and 1048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-40)\/(-6))*-6. Suppose 0*y + 14 = 2*y + n, -y + 2*n + 12 = 0. Let p(f) = 14*f - 12. Let s be p(y). What is the greatest common factor of s and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -747 + 748. What is the nearest to -1 in c, 0, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346844 is divided by 151?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-1 - (-9 + (10 - -13))) - (-1 - 21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 + -2*(-3)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 409052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3424861 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -30. Let j(b) = 10*b - 3. What is the units digit of j(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/31, -1\/7, 65, 4.\nAnswer: -1\/7, 12\/31, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*o + 273. List the prime factors of o.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a + 15*a = -136 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-165)\/315*(-3)\/(-12)*4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/300*-5)\/2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 10:21 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 6144020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11116 - -2356. List the prime factors of w.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29871.09 years to millennia.\nAnswer: 29.87109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1069 * -7\nAnswer: -0.7483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 44. Let z = w + 37. Calculate the remainder when 212*(25\/(-10) + z) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 4*j**2 + 12*j + 1. Give l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12154 is divided by 1524?\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 236b46?\nAnswer: -236b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25241221209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.4\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*p**3*t**2*z - 15*p**3*t**2 - p**3*z - 3*p**2*t + 8*p*t**2 - 4*t**2 + 779*z - 86 wrt z.\nAnswer: -109*p**3*t**2 - p**3 + 779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6005 + -3439. Which is bigger: 2568 or h?\nAnswer: 2568","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -830 divided by -288896?\nAnswer: 415\/144448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618 - 586 - 583 + 126*i - 583 + 2963 - 593.\nAnswer: 126*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 800 - -0.56?\nAnswer: 800.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 3 + sqrt(432)*-3 + ((sqrt(432) - (3*sqrt(432))**2) + sqrt(432))*-3 + (sqrt(432) + -4*(sqrt(432) + -1) + -5*(sqrt(432) + -1))**2.\nAnswer: -1824*sqrt(3) + 39396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/4414 and -61\/6?\nAnswer: 13242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1450387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 6. Suppose -70*l + 64*l + 42 = 0. Give o(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 413728549 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 7, -2.\nAnswer: -8, -3, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -262667 or -263158?\nAnswer: -262667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 116*j**3 - 55*j**2 - 4*j + 4. Let w(m) = -232*m**3 + 111*m**2 + 9*m - 9. Let g(b) = -9*c(b) - 4*w(b). What is the third derivative of g(z) wrt z?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 11*i**2 + 2. Let x(m) = 51 - 28 - 33*m + 25*m - 23. Determine x(l(j)).\nAnswer: -88*j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 2*v**2 + 5*v - 4. Let t be f(3). Let j be t\/(-8)*2*62. Let n = j + 86. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((sqrt(304) + -3)**2 - sqrt(19))) + sqrt(19) + sqrt(1900)*-3.\nAnswer: -313 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 301?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -10218\/125 less than -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 264, -12, -2, 12, 13, 2.\nAnswer: -12, -2, 2, 12, 13, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert b996 (base 13) to base 16.\nAnswer: 64d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(75)*-4 + 5 - (sqrt(36)\/(-1*sqrt(12)) + sqrt(6)\/sqrt(2) + 5))*-2.\nAnswer: 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50455238 to the nearest integer?\nAnswer: 7103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 2)*(0 + -1). Suppose 0 = z*a - 770 - 1202. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*x + 30*x + 76 = -40*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -639.5 + 639.3. Is 6716 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 251*h**3 - h**2 + 5*h - 4. Let j be d(1). Let u = 77 + j. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 11023155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1616253, 3232507, 4848761, 6465015, 8081269?\n\"Answer: 1616254*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24306910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37101, 73925, 110743, 147555, 184361, 221161, 257955?\n\"Answer: -3*s**2 + 36833*s + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40466364 rounded to the nearest 10000?\nAnswer: -40470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-10))\/(2\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 2. Give t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8.24. Let s = -0.1 - q. Let c = s - -0.49. Put -4\/5, c, -4\/9, -3 in decreasing order.\nAnswer: c, -4\/9, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5 - -54) + (-5 - 1) + -5 + 8\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2871, 0, -2, -8, 2 in decreasing order.\nAnswer: 2871, 2, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/28)\/(42\/(-7)). Suppose 5*v = 2*f + 22, -2*f = -v - 3 + 9. Which is the biggest value? (a) z (b) f (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*g - 6*g - 7 = 0, 0 = 4*m + g - 3. Is (-1216665)\/(-540) - m\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 251 = -26. Let q = 0 - -2. Suppose -p = 4*l - 0*p - 74, 2*l = -q*p + 40. What is the highest common divisor of l and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 71. Find the third derivative of 497*w**2 - 258*w**2 - 252*w**f + 41*w**6 wrt w.\nAnswer: 4920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1. Suppose 0 = 5*f - f - 736. Suppose -f = -14*s + 586. Let i = s + -54. Let m(x) = 2*x - 4. Give i*m(g) + 3*h(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(2)*-1)**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 36*k + 15.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = -5*p + 9, 5*p = -4*s + 6. Suppose 3*n - 2*l - 20 = 0, -l - p*l = -4*n + 28. Suppose -b - n*q = -12, -2*q + 3 = -2*b - 3. Solve a = -b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 402.\nAnswer: -1\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*d - 258, -2*z - 99 = 2*d + 3*d. Let j = z - -69. Solve 2*i - 4*t = 0, 3*i + 2*t = j*t + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-4))\/((-3)\/(-6)). Let b(o) = -9*o - 13. Let l be b(t). Suppose -61 = -d - 4*w, 2*d = 7*d - l*w - 255. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by -6.\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31399 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4935 and 196413.\nAnswer: 982065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 180*p + 221. Let j = 68 - 66. Let i(l) = 36*l + 44. Let d(g) = j*b(g) - 11*i(g). What is the first derivative of d(c) wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let m = l - 1.5. Let r = -3.5 - m. What is the second biggest value in -1, r, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -90 + 44 + 28?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 974 by -54992.\nAnswer: -487\/27496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.1731748\nAnswer: 0.05195244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12253230 to the power of 1\/2, to the nearest integer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*g + 176909, -35380 = -6*f + 5*f - g. Suppose 3*j + 9818 = f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 10:16 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3274, -1?\nAnswer: 3274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 134, 309, 608, 1073, 1746, 2669, 3884?\nAnswer: 5433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -161*h - 30. Let x be (150\/(-60))\/(((-1)\/2)\/(-1)). Let p(j) = -j - 1. Let k(v) = x*p(v) + c(v). Differentiate k(f) with respect to f.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 227*x**2 - 514*x - 14456. Calculate f(-225).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**5 + 2*k**4*w**2 - 25*k**4 + 2*k**2*w**2 - 433*k**2 wrt k.\nAnswer: -60*k**2 + 48*k*w**2 - 600*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 9, 2.\nAnswer: -1\/16, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*l**3 - 97*l**3 - 10*l**3 + 198*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, v: 6}. What is prob of sequence yvv?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44 + 0.04. Which is the third biggest value? (a) n (b) 2\/5 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11952102 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*f - 3 = 1, 4*r = 4*f + 8. Solve -l + r*j = 0, j = -l + 4*j - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14120 divided by -5?\nAnswer: 2824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 955804526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 154 * -1\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(((-1113)\/(-186) + -6)\/1). Is o greater than 497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 - 113. Let f = 6228 + -6232. Suppose 4*a = 4*h + 3 + 1, -5*h = -4*a. Sort -2, a, f, l.\nAnswer: f, -2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 2*p**2 - 2*p - 2. Let n be v(-2). Let l(x) = -3*x**2 + n*x**2 + 0 + 1 - x. Let d(w) = -w**2 - 9*w + 136. Let g be d(8). What is l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 142*b - 24*b + 242*b + (-5*b + 2*b + 2*b)*(1 + 1 + 0).\nAnswer: 358*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*o = -3830, 1 = -o - 3. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 7:38 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 2*o - 1. Let n be g(1). Suppose -n*j - 1 = 1. Calculate the remainder when 17 is divided by 7 + (-1 - 3\/j).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/156*-38 + (-1)\/3. Let r = 141 - 707\/5. Which is the smallest value? (a) r (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -12. Let r be (-4)\/(-8) + 2\/x. What is the units digit of r - -1 - (2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340070 divided by -68014?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12585?\nAnswer: 3, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Let r = -3.89 - 0.11. Let l = 478\/17 + -28. Which is the third smallest value? (a) r (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1184.\nAnswer: -5\/1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b**5 + 18*b**3 - 17*b**2 + 15*b**2 + 22*b - 24*b - 22*b**4 = 0 for b.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, -1, 1, -2\/17, -1.4, 1\/3 in increasing order.\nAnswer: -1.4, -1, -2\/17, 1\/3, 1, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -1164, -2595, -4530, -6921, -9720, -12879?\nAnswer: -16350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -11. Let x = 3415 - 3427. Which is the second biggest value? (a) u (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -2)*(-1)\/2. Let n(x) = -x**2. Let o(z) = -6*z - 3. Let l = -2 + 3. Let j(w) = b*n(w) + l*o(w). What is j(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a - w = -a - 38, 3*w = -5*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 43 - 328. Calculate the remainder when j is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0 - 4. Let i = -6 - g. Let z be -4*-1*4\/(-56). What is the smallest value in 0, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 24 = -2*v + 6*y, 0 = v - 3*y - 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 75*b**3 - 405*b**2 + 945*b - 810.\nAnswer: -5*(b - 6)*(b - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h - 94 = -5*o, 0 = -o - 5*h + 28. Let r = 24 - o. What is the remainder when 16 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r + 2. Let z be w(-4). Let b(a) = -9*a. Let y be b(1). Let c = y + z. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3076 + -3.6924. Put a, 80, -0.3, 4 in descending order.\nAnswer: 80, 4, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lyyylylyyyyyyyyy.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 5*x**2 + 112*x - 630. Give g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 111 - 79 = 2*j, 5*k = 3*j - 52 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 32*o - 336 + 38. Calculate the remainder when 2*((-47)\/2)\/(-1) is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-329320)\/(-35) - 704\/616. What is the highest common factor of a and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156*b + 3246*b - 258678 = -1150*b - 48078 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 12*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 43338 times 0.8\nAnswer: 34670.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - (1 + 16)) + 12. Let b(u) = -55*u - 6. Give b(t).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2\/7 - 192*y\/7 - 27 = 0. Calculate y.\nAnswer: -63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 28390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -8, 744*x - 2*g = 740*x + 148. Solve -x = -7*i - 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2969*g - 1168*g + 1194*g + 4275*g + 1001*g to the form i*g + r and give i.\nAnswer: 8271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from {z: 3, y: 9}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3\/2 (b) 11 (c) -0.3 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8513.42585 - 8495.11. Let v = x - -1.68155. Let f = 20 - v. Round f to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 7390?\nAnswer: -7349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 12 + -2 - ((132 - 28) + -29)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 51\/598426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -23 - (1464 - 1555)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 76854927 and 0.4.\nAnswer: 76854927.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from ffwwwfww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -b - 12. Suppose -105 = -5*p - 5*t, -b - 25 = -4*p - 5*t. Calculate the remainder when p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*10\/1*(-539)\/(-1155).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 4342*z**2\/5 - 472624*z + 7050336\/5.\nAnswer: -2*(z - 1084)**2*(z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33350628 and 556969.\nAnswer: 33907597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -55*b**4\/8 + 223*b**3\/6 - 7*b**2 - 2. What are the prime factors of d(-7)?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -116 + 21*t + 1\/2*t**2. Give z(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -187 and 16967?\nAnswer: -3172829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -10.445878\nAnswer: -240.255194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u + 0*u**3 + 0*u**2 + 0 - 1\/6*u**4. Let d(x) = 1 + x - 1. Determine d(c(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 44, -1, 0 in ascending order.\nAnswer: -2, -1, 0, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1412 - -20422122?\nAnswer: 20420210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 2592.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -8. Let f = -1\/3 - 88\/7. Let i = f + 37\/3. Which is the nearest to 0.1? (a) -0.4 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 2199904?\nAnswer: 32998560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 6*l**2 - 6. Let a be n(5). Let i be (1463\/(-22))\/((-6)\/12). Calculate the highest common divisor of a and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 10*q + 15. Let c be i(-10). Let k be (22\/33)\/(1\/c). Let d be (4 + (-35)\/k)*8. Solve f + 2 = d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2. Let v(k) = 721*k - 722*k + 583 - 583. Calculate p(v(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 12028*u**2 + 24049*u - 36078.\nAnswer: (u - 1)*(u + 3)*(u + 12026)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 = -118. Let o = -1 + 4. Let h be o\/(-18) - b\/(-36). Let i(z) = 6*z**2 + 2*z - 1. What is i(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 - f**2 + f + 1. Let j be n(1). Let u = 18 - 1. Solve -3 = -j*x + u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*b - 134*b + 156 + 516. Factor -b*c - 4\/3*c**2 + 28\/3.\nAnswer: -4*(c - 1)*(c + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-28)\/77 - (-1911568)\/88?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 + 30. Let n = z - -136. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from uuuuuuuuuuuut?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011220121210 + 12?\nAnswer: 2011220121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2983, -2942, -2901, -2860, -2819, -2778?\n\"Answer: 41*a - 3024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = -h. Let s be ((-12)\/2 + 174\/30)*-10. Which is the second smallest value? (a) -0.5 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -245\/4 - -61. Is w bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i + 18. Let z be t(-6). Suppose z*u = -6*u + 1296. Suppose 3*a = 3*g + 1488, -3*g + 1278 + u = 3*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n - 16. Let x be m(2). Let r be (4\/(-6)*-36)\/((-18)\/(-60)). Calculate the greatest common factor of r and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -6. Sort 1, z, -5 in descending order.\nAnswer: z, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-1))\/(((-28)\/6)\/7). Suppose 2*q - 110 = -a - 3*a, -17 = -a + x*q. Calculate the smallest common multiple of 10 and a.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 6*a + 17. Let w(v) = 2*v**2 - 3*v - 9. Let l(i) = 5*w(i) + 3*z(i). Let s be l(-2). Solve -10 = -2*x, s*x = 4*t + 13 + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132753 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(3 + 0 + 2)*(2*y**4 + 2 - 2).\nAnswer: 30*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 549, -0.0001, 1\/3.\nAnswer: -0.0001, 1\/3, 549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0, 89, -101, 4, 3 in decreasing order.\nAnswer: 89, 4, 3, 1, 0, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69202451977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y**5 - 11*y**4 - 6*y**2 - 60*y. Let h(l) = -l**4 - l**2 + l. Let v(t) = -6*h(t) + u(t). Find the second derivative of v(g) wrt g.\nAnswer: 280*g**3 - 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(495\/60)\/11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17156 - -17208. What is the nearest to 0.05 in 1, -5, 4, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiifiiii?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38e40b (base 16) to base 15.\nAnswer: -4d9a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-224)\/(-7))\/(6\/(-15)). Let j be (-36)\/v*4 + -3. Let s(n) = n**2 + 4*n - 6. Let t be s(-5). Which is the second smallest value? (a) 2\/7 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*n = -11, -3*l + 36 = l + 4*n. Let p(r) be the second derivative of -r**3\/6 + r**2\/2 - 2*r. Let u(g) = 3*g - 3. Calculate l*p(i) + 2*u(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3648 - 3633. What is the highest common factor of 1605 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3961 and 37979.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3222 - 3222 + 18*d**4 - 5*d**3 + (-2*d**2 + 2*d - 2*d)*(-3*d - d**2 + 3*d).\nAnswer: 20*d**4 - 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109638 is divided by 100784.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(98) + -1 + -3 - (0 + sqrt(98))*6))**2.\nAnswer: 4480*sqrt(2) + 39456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650745373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.83 - -157.83. Let n = c + -153.4. Let l = -1.2 + 1. What is the nearest to l in 5, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 5. Let u be q(-4). Suppose f = u + 46. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390948558 by 17017.\nAnswer: 22974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/5, 0.6, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341 + 507 - 78 - 88 - 2394*i.\nAnswer: -2394*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -542 - -47. Let j be b\/(-20)*(2 + 8\/12). Suppose j = 3*y - x, 11*y - 88 = 7*y - x. What is the highest common divisor of 198 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 840\/350*15*(-2)\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01424 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 c when three letters picked without replacement from cltllccc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 224*w**2 + 13699*w - 13. Determine b(50).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -5, 5, -10 in decreasing order.\nAnswer: 5, -2, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 + 5*b**3 + b**3 + 1118 - 10*b**2 - 1114. Give d(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403504 and 20432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 649073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = -c, c + n = -3*c + 19. Let v(l) = -8*l**2 + c*l**2 + 2*l**2. Let y(a) = 54*a**2. Determine y(v(g)).\nAnswer: 216*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -27188*p + 842827. Determine b(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 169\/26*(-4)\/78*-12. Solve -q*h + 4*f + 24 = 0, -15*f + 14*f - 3 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2524.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 485 divided by 97\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*o**3 - 53*o**3 + 0*o**2 + 2*o**2.\nAnswer: 24*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*v)*(-v + 3*v - 34*v) + (3*v**2 - 6*v**2 + 2*v**2 + (-v + 0*v + 0*v)*(-3*v - v + 2*v) + 3*v**2 - 6*v**2 - 5*v**2)*(0 + 3 - 1).\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30114*n**4 + 7*n**2 - 324 - 15031*n**4 - 15048*n**4 wrt n?\nAnswer: 140*n**3 + 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-6 - (-5 + 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 27 - 19)*(-6*t - 2*t + 6*t)*(-5*t + t + 5*t).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 18988.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 4. Let l = 33 - s. Sort 2\/5, l, 0.5, 0.03 in ascending order.\nAnswer: 0.03, 2\/5, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 6*o**2 - 9*o + 2. Suppose 3*q + 4 = -w - 99, w - 3*q = -73. Let g be (7 - w\/(-12))*(1 - 25). What is the tens digit of j(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944391953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*b - 8600 = 59*b + 5*b for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + 56 - (25 + -18 - (-2 + -8)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2210 (base 4) to base 8\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82266286\/7 less than or equal to 11752327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 20. Let f be d(4). What is the highest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45243? (a) -5 (b) 174 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -17*w**3 + 16*w**2 - 197. Let z(m) = 530*m - 8*m**3 - 99 + 7*m**2 - 530*m. Let b(r) = -6*t(r) + 13*z(r). Differentiate b(g) with respect to g.\nAnswer: -6*g**2 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3045723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 695\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 2 u when four letters picked without replacement from kkkkukkkju?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -72*u - 197. Let p(f) = 2*f. Calculate a(p(t)).\nAnswer: -144*t - 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 205*g - 140. Let s(i) = 3*i**2 - 8*i. Calculate s(l(v)).\nAnswer: 126075*v**2 - 173840*v + 59920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 854337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -988176*h + 988174*h + 3*o + 22, 0 = -2*h + o + 26 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -21. Suppose 0 = m*o - 184 - 778. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 3, i: 5}. What is prob of sequence rti?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 45. Suppose -3*c + 51 = 5*l + 1, 4*l = d. Is c less than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135839\/6 - -22635. Find the common denominator of p and 131\/3150.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121110212 - 21001022?\nAnswer: 100102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*4*sqrt(19) - (0 + (sqrt(19) - sqrt(475))))**2 + 5 + (sqrt(19) - (sqrt(190)*-4)\/sqrt(10)) + -3)*3.\nAnswer: 15*sqrt(19) + 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73978 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426128 is divided by 792?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 1\/5*y**3 + 3\/5*y**2 + 3\/5*y - 32. Factor r(s).\nAnswer: 3*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.2. Let o = 10 + -10.1. Which is the nearest to o? (a) 0 (b) r (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 2*s**2 + s. Let c(g) = -58*g**3 - 6*g**2 - 5*g + 1. Let m(r) = -c(r) - 3*q(r). Calculate the lowest common multiple of 21 and m(1).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(4 + 9\/(-2)). Let j = d - -10. Solve 3*f + 3 = -j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -0.2. Let u = -0.05 - -0.45. Let o = 0.8 - u. Put o, 0.3, s in descending order.\nAnswer: o, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 + 3*o - 4. Give f(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**2 + 2*j - 14*j**2 - 22 + 2*j**4 - j**3 + 5 + j**4 as l*j**2 + h + q*j**3 + p*j + d*j**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -482 + 486. Let w(s) be the third derivative of 0*s + 0 - 9*s**2 + 1\/24*s**t + 0*s**3 - 1\/60*s**5. Determine w(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**3 - 1874*z**2 - 3719*z - 1858. Let c(m) = m**3 + 2*m**2 - 3*m - 1. Let u(s) = 2*c(s) + r(s). Factor u(v).\nAnswer: -5*(v + 1)**2*(v + 372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 3)**2*-6*-6.\nAnswer: 1296*sqrt(2) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 33\/6)*2. Which is the nearest to 0? (a) i (b) 0.5 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(2\/(-3 + 5)). Suppose -l + 2*o + 56 = 0, w = 4*o - 3*o - 5. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5567178*1.11.\nAnswer: -6179567.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p - 4. Suppose 2*w = -11 + 1. Let h(j) = -j - 4. Let y be h(w). Let l be -3 + y*(2 + -2). What is r(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183602409.\nAnswer: 3, 487, 125669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5642455 is divided by 215.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*90\/(-20)*100\/(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9964?\nAnswer: 2, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-51)\/(-9) - (-16)\/(-24). Solve -3*f - 31 = -d*a, 0*f + a = 2*f + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -5*l**3\/3 - 655*l**2\/2 + 660*l - 552. Find w, given that h(w) = 0.\nAnswer: -132, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47972656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -62. Let w(l) = l**2 + 4*l + 6. What is the remainder when (-1)\/(-3) + (-158)\/(-3) is divided by w(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 33551*q + 1 - q**2 - 33551*q. Let n(u) = -2*u**3 + 5*u**2 - 4. Give 4*c(s) + n(s).\nAnswer: -2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 6:44 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j = -278*j + 1305*j - 48690 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 0*i + i)*(5 - 2 - 1)*(-47*i**2 - 2*i**3 + 47*i**2) to the form n*i**4 + f*i**2 + j + q*i**3 + c*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -25. Suppose -4*a + 338 = -a + 5*n, -428 = -4*a - n. Let h = a - 61. Calculate the highest common factor of h and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61239 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1736)\/93)\/((-12)\/(-27))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -0.2124?\nAnswer: 9.2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8873835667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxtppxppp. Give prob of picking 2 p and 1 t.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7019.02cm to kilometers.\nAnswer: 0.0701902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y**3 + 3*y**2 + 5*y + 3. Let q(c) = -110*c**3 + 34*c**2 + 56*c + 34. Let m(f) = 6*q(f) - 68*z(f). What is the second derivative of m(s) wrt s?\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-2))\/((-5)\/(-40)). Let s be (24\/d)\/(2\/(-4)). What is the third derivative of a**s + 7*a**3 + 2*a**2 + 4*a**2 - 2*a**2 wrt a?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s - 49. Calculate n(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23766086 is divided by 85183.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 5. Suppose -f - 4*d = -0*f + 9, 0 = -2*f - 4*d - 6. Suppose -r = -3*t - 2, -10 = f*t - 8*r + 3*r. Determine h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeh when three letters picked without replacement from {e: 1, h: 2, x: 2, q: 7, o: 1, k: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-3)*(-2830)\/315. Let m = -42 - p. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:51 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1199 and 654?\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 171 = -69. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*100\/(-525)*6\/(-4). Let c(b) be the first derivative of -1\/7*b**2 + 2\/105*b**5 + 24 + 1\/14*b**g - 4\/21*b + 2\/63*b**3. What is h in c(h) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 18*n + 1. Let r(c) = 711*c - 2856. Let f be r(4). Calculate p(f).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1759 + 2533. Calculate the lowest common multiple of 32 and f.\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1153361 and 588.2218?\nAnswer: 589.3371361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -266 or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -2602\/437?\nAnswer: -2602\/437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -191050023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 9953.\nAnswer: 9953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + d = -1, -3*d + 4*d - 7 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 161854?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-1406)\/4*6. Let b = -1206 + p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2185 is divided by 1085.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9315385 - 9315389.000183. Let x = d + 4. What is x rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1346.998912 - 1347. Round t to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -3.9. Let h = -1532.9 + 1545.9. What is the nearest to 0.1 in 1\/5, h, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*u**2)*(u + 0 + 0) + (-3*u**2 + 2*u - 65 + 65)*(1 - 3*u - 1).\nAnswer: 7*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + ((-2 + sqrt(11) + sqrt(11))**2*-6 - 3*sqrt(99)) + -1).\nAnswer: -876 + 117*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*j - 6, 3*j + 7 - 1 = 3*g. Suppose -4*r - 2*s - s + 2496 = 0, g = 5*s. Let x(v) = -2 - r*v + 624*v + v**2. Give x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7072 - -7150. Solve -3*o = -18, -82*o + i*o + 32 = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/12*6*14\/21. Let g(q) = 14*q + 43. Let a be g(p). What is the smallest value in a, -23, -5\/3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 - 1879 + n**2 + 2025.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -62951722.147\nAnswer: -62951726.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(0 + 26\/(-5)). Let f(g) = -g**2 - 8*g - 13. Let i be f(-5). Solve i*c - 2*b + 3*b = -3, c - q = 5*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 1036*p = 1039*p + 37, -6*p - 91 = -13*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**3\/2 - 7*t**2 + 7*t. Let o be x(-8). Suppose -8*w = 2*w + o. Which is bigger: w or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) -368 (d) -0.1 (e) -4 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 15. Let q(x) = -13*x**2. Calculate q(p(l)).\nAnswer: -117*l**2 + 1170*l - 2925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a01 (base 14) to base 15.\nAnswer: -8ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2965 - 2933. Let k = -1 - -4. Let h = k - -8. Calculate the remainder when l is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -1\/3*c**3 + 3*c + 1\/3*c**4 + 7 - 2*c**2 - 1\/20*c**5. Give m(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1687 and 448501?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2324944.\nAnswer: -697483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118810?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 10*f**2 - 22847 + 2*f**3 + 5*f**2 + f.\nAnswer: 2*f**3 + f**2 + f - 22847","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001929295532 rounded to 6 decimal places?\nAnswer: 0.001929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1104)\/(-10) - (-3)\/(-15)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**2 + 2*p - 1. Let f(q) = -4*q**2 + 2*q - 1. Give 3*f(k) - 2*y(k).\nAnswer: -2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3770850 and 3770850.\nAnswer: 3770850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.056\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 509303686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 1\/8 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((-65)\/(-52))\/((-3)\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*r - 17*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1))**(-15\/2)*(j**(-2\/9))**(-26))**(-18) assuming j is positive.\nAnswer: j**166","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*s*z + 251*c*s + 10032*s*z + 22*s wrt z?\nAnswer: c*s + 10032*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 10 = 6 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 2*s**2 - 13*s - 13. Is l(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5513, 7726, 29793, 60688, 100411, 148962?\n\"Answer: 4414*j**2 - 3*j - 9924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrjzjrrzjjzzsjssjj. Give prob of sequence rzsz.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 25, 1 in ascending order.\nAnswer: 1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z + 5. Let k be t(-1). Which is the closest to -2\/7? (a) 2\/13 (b) k (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 96 + (40 - 43) + 1 + -7.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 20706.519 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 58. Let t(q) = -638*q - 28070. Let n be t(-44). Which is the second smallest value? (a) -3 (b) 5 (c) m (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/5754 and 115\/14672?\nAnswer: 6030192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350552 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2441*t - 6 - 5 + 2433*t - 6*t**2. Let i(j) = 2*j**2 + 3*j + 4. Calculate -11*i(m) - 4*o(m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 126\/(-280) - (-2)\/8. Let n = 14 + -14.7. Let y = n - -4.7. Which is the nearest to -2\/7? (a) 0 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 12*d**2 - 7*d - 10. Let v be c(-9). Let h = v - -393. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 4570*w.\nAnswer: -4570*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 17. Suppose 2*y = -8, -5*v + 3*y + 100 + 72 = 0. Suppose -l - 3*q = -u*q - v, 0 = -3*l - 4*q + 32. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 9*a**3 + 6*a**2 - 12*a + 21. Let k(l) = -11*l**2 - 5*l + 5. What is 12*k(c) + 5*t(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23200 - -1022?\nAnswer: -22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 21*g + 31*g**3 - 5*g - 8*g.\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2 - 37*l - 5*l**2 - 30*l + 66*l. Calculate s(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.63 + -0.63. Which is the closest to -1\/2? (a) -1 (b) j (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(9)\/(sqrt(6)\/sqrt(2))) - (sqrt(80)*-4 - (-1*sqrt(5) + -4)).\nAnswer: -4 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10))\/((-30)\/75)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1422 = 51*p - 334*p - 2257 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11463 + -5?\nAnswer: -11470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 2*f - 84 + 72, -6*f - 41 = g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1140*s - 1127*s - 65. Solve -3*p - 23 = -4*j, p + 26 + 0 = s*j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyiylililyi. What is prob of picking 1 i and 3 y?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 60*u + 614. What is c(105)?\nAnswer: -4111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 4, v: 11}. Give prob of picking 2 f.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i. Suppose -19 - 148 = -u + 4*a, -3*a = 3*u - 486. Suppose 0 = 159*h - u*h. Is i > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 17*d**2 - 15*d - 57. Let z = -1924 - -1942. Determine q(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**8\/6720 + f**7\/504 - f**6\/120 + f**5\/120 + f**4\/2 + 4*f. Let j(i) be the third derivative of l(i). Calculate j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -1)*1 - 3*(-1 + sqrt(2057)) - (sqrt(153) - (sqrt(153)*-2 + sqrt(153))*5)\/(-2*sqrt(81)).\nAnswer: -21*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 4 + 4 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*j - j + 5*j)*(-4 + 4 + 7) - 6*j + 6*j + 4*j)*(2*j - 2*j - j**3) to i*j**3 + m*j**4 + z + s*j**2 + d*j and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 88.82802 millimeters?\nAnswer: 88828020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**6\/12 + 11*a**4\/8 + 3*a**3 + 2*a**2 - 233. What is w in g(w) = 0?\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*y - 830*y = 984*y - 95029 + 271519 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbnb when four letters picked without replacement from {n: 12, b: 4}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 199*q - 22 + 2 - 1 + 5 to c + t*q and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 15. Let d = -15 + h. Let w = -3 - -2.6. Which is the closest to -1? (a) d (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 54, 113, 210, 357, 566, 849, 1218?\nAnswer: 1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42284 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmnrmmmqrmmnnmntnmmm. What is prob of sequence rnrq?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = -0*p. Let b be 2\/p*(2 - 3). Let o = -9 + 10. What is the nearest to o in 4, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + ((-12)\/22 + 37675\/3630 - 4). Let s be (-26)\/(-6)*(-5)\/2. Let n = -23\/2 - s. What is the smallest value in 4, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z - 51*z**2 + 72*z - 47*z as p*z**2 + d + n*z and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**2 + 627*g - 10437. Determine y(-140).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10985124 to the power of 1\/2, to the nearest integer?\nAnswer: 3314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1751.89 - 1752. Which is the nearest to 0.1? (a) o (b) 0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = -5*l. Suppose 7*g - 6*g - l = 0. Factor 8\/13*b**3 - 8\/13*b**g - 2\/13*b**2 + 0 + 0*b.\nAnswer: -2*b**2*(2*b - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 829 * -0.3\nAnswer: -248.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7185, -14340, -21481, -28602, -35697, -42760, -49785, -56766?\nAnswer: -63697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 9*j**2 - 10*j + 3. Let k be t(10). Let g be -3 + 7 + 1 - k. Calculate the remainder when 3 - -48 - (g + -5) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/102626 and -8\/2231.\nAnswer: 102626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/5 - 9722994*u\/5 - 11667600 = 0. Calculate u.\nAnswer: -6, 9723000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 3. Let i(d) be the first derivative of -d**2\/2 - 2*d - 25. Give -3*f(m) + 4*i(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462017193 to the power of 1\/2, to the nearest integer?\nAnswer: 49619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 3*k - 4. Let m be s(-4). Let j(w) = 4*w. Let i(p) = -5*p. Let t(z) = -5*i(z) - 6*j(z). Calculate t(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 1. Let s be h(0). Let z = s + 5. Let i = 2 - z. Put i, 1, 5 in decreasing order.\nAnswer: 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 2488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*p + 46, -96 = -18*p + 14*p + v. Calculate the greatest common factor of 300 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53225, -58537, -67391, -79787, -95725, -115205?\n\"Answer: -1771*t**2 + t - 51455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r + 533 - 533 - 15*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + o**2 + 2 - 2*o + 0*o + 1 + 2*o**3 + 5*o**4 as c + i*o + f*o**2 + q*o**4 + s*o**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 440 = -0*a. Let q = a - 1046\/19. Suppose -2*k = -k. Is q equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h**2. Let o be (6\/3)\/(2\/8). Let v(w) = w**2 + 4*w**2 - o*w**2. Determine v(g(r)).\nAnswer: -432*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8154b - -676?\nAnswer: 81bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 + j - 7. Let x(w) = w. Let k(d) = -v(d) + 2*x(d). Let z(y) = -y - 4. Let b be z(-4). Determine k(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/54)\/(10\/15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-8892504666\nAnswer: -8892504665.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -15*m + 2. Let v(w) = -30*w + 5. Determine 9*l(z) - 4*v(z).\nAnswer: -15*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 842 and 154161359.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -4405243?\nAnswer: -4405241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from ezggxxzzxppzxzzfzzgf?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -4, 3, -3, -156, 8, 4 in increasing order.\nAnswer: -156, -4, -3, 3, 4, 8, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -11. Suppose -2*o + 265 = 5*r - n*r, -2*r + 3*o + 125 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 2*c + 0*c - 5*c + 3*c + 3*c + 1 - 1 + 2*c - 5*c + 0*c + 3*c - c - 2*c + 2*c + (-2 + 4 + 0)*(4*c - c - c) - 30 + 6 + 16*c + 32.\nAnswer: 18*c + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - p, 5*p = 4*j. What is the third derivative of -3*t**2 + 2*t**6 + j*t**6 + t**2 - t**2 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:06 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 41 (b) 2\/9 (c) -6 (d) -3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 10399\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -11, 4.\nAnswer: -11, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 3*j**2 + 3*j - 15. Give v(-5).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + j**2 - 1. Let k(r) = -5*r**3 + 3*r**2 + 2. Suppose 0 = 4*g + 5*z - 21, g - 4*z + 50 = 29. Determine g*k(w) + 4*v(w).\nAnswer: w**3 + w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3760 and 3008.\nAnswer: 15040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-2)*4\/24*160\/16.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**3 - 8*o**3 - 11*o**3)*(-2*o + 0*o + 4*o**2 - o).\nAnswer: -52*o**5 + 39*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 14 - 22) + -5 + (-2 - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -114241, -114238, -114239, -114244, -114253, -114266?\n\"Answer: -2*c**2 + 9*c - 114248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) 3 (c) -8 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0 + -10 + 1). Let u be (-58)\/377*-221 + -27. Solve 2*t - l = -5*o, u = 2*o - t - 2*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*r - 3*k + 7 = 122*r + 31, 0 = -2*r - 4*k - 32 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -200300 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - z + 1 = 0, z + 2 = 712*w - 711*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from suussssusuuusssuuus.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 353*o**2 - 1448*o - 1460.\nAnswer: (o + 2)**2*(3*o - 365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -672281 in decreasing order.\nAnswer: 3, 2, -672281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2*b + 17 - 8, -13 = 2*b + 3*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v**3 - 74*v**2 + 576*v - 860. Let a(u) = -u**3 - u**2 - 1. Let h(r) = 4*a(r) + m(r). What is w in h(w) = 0?\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716 = 4*t + 5*h + 36, -5*h - 475 = -3*t. Calculate the least common multiple of 105 and t.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*q**3 + 4*m**3 - m**2 - 35*m*q**2 - 2*m*q + 2*q**3 - q**2 - q wrt q?\nAnswer: 6*m**3*q - 70*m + 12*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.6 (b) -7 (c) 2\/15 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28804802435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56.17439l?\nAnswer: 56174.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 + 17*c. Let h = 83 + -82. Let y(a) = -a**2 + a. Let f(v) = h*k(v) - 2*y(v). What is the second derivative of f(t) wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6941090 divided by 6955?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 4*x**3 + 1. Let q(f) be the second derivative of 0*f**3 - 11 + 0*f**2 + 1\/6*f**4 - 3*f. Determine q(d(c)).\nAnswer: 288*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -642\/11 = -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2818 - 2809. Solve -602*d - b = -605*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*y = 18, y + 0 + 12 = u. List the prime factors of (u\/(-2) - -4)*-40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 186773, 373565, 560335, 747071, 933761, 1120393, 1306955?\n\"Answer: -2*w**3 + w**2 + 186803*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2765632 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137\/26 + -36\/13. Sort 0.1, 5, b, -0.3 in decreasing order.\nAnswer: 5, b, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53188, 53233, 53278, 53323?\nAnswer: 53368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146350624*u**4 + 226*u - 12266 wrt u.\nAnswer: 1756207488*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 2) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Suppose -3*o + s = -5. Suppose -o*h = 4*q - 26096, -5*h + q - 2*q + 43499 = 0. Round h to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(-4 + sqrt(288))*-5.\nAnswer: -125 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 1. Let l(m) = 5*m**2 + 4*m + 4. Let s = 20 + -10. Let y be (-12)\/20 - 34\/s. Let p(h) = h + 43. Let u be p(-44). Give u*l(z) + y*d(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = -35*k + 1314. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 + 0 + 1. Let z be (18 + -18)*(-1)\/2. Factor 0*g**3 + z*g + 3\/2*g**2 - 3\/4 - l*g**4.\nAnswer: -3*(g - 1)**2*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + -1 + 2 + (sqrt(931) + (sqrt(931) + sqrt(931) + 1)*1 - sqrt(931)))**2 - (sqrt(133)\/sqrt(63) - (sqrt(76)*-3 - sqrt(19))))*-6.\nAnswer: -50298 - 460*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-8228)\/306 - ((-4)\/36 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/56)\/(-3))\/(((-3450)\/182160)\/(5\/(-11))).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j - 43 - 61 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g**2 + 206. Let x be v(0). Let m = -147 + x. Suppose -m - 30 = -u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 21120000002?\nAnswer: 21120000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201943 is divided by 19770?\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 2, m: 2, g: 1, z: 1, l: 1}. What is prob of picking 1 x, 1 l, and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {h: 3, r: 1, m: 6, f: 1, j: 1, n: 4}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 21 = -6*s. Let c = s + 11. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761337429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -84, 3 in decreasing order.\nAnswer: 5, 3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2 + 41*l - 189. Let x be q(-7). Solve 0 = -16*f + 37*f - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(-62 - 0). Let t = -20 + q. Let l(r) = -r**2 + 9*r - 7. Calculate the lowest common multiple of l(7) and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 11*r - 12*r + 2*f, r - 47 = -2*f. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 3*t + 0*t. Let l(i) = -3*i**2 + 5*i**2 - 4*i**2. Give l(b(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*k + k. Let x(z) = 2*z - 2. Let l be x(3). Suppose -l - 28 = -4*g. Calculate the remainder when k is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 51. Suppose -4*b + g + 19 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -3*p**4\/16 + 49*p**3\/4 + 303*p**2\/8 + 153*p\/4 - 681. Suppose q(h) = 0. Calculate h.\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k + 75*k + 4 = j, j + 10*k = -51 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**2\/k)\/k*k*k*(k**10\/k)\/k)**(-1\/21)\/((k*k**(-1\/6))\/k**(-4\/7)*k*k**6\/k*k*k**(2\/5)*k) assuming k is positive.\nAnswer: k**(-723\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-27)\/(-96)))\/((-3968)\/(-11904))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/6*(-2)\/2*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.8594652ms?\nAnswer: 0.000001905407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3916 is divided by 3913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/4? (a) 0.01 (b) 3 (c) 22.1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 93 + 71. Let t = -68 + y. Suppose -3*z + z + t = 5*x, -z - 33 = -2*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*q - 3*g, 2*g + 13003 = 12999 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -620 - 12410023?\nAnswer: -12410643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose d*p - 7*p = -2*k + 70, -3*p = 3. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*k**3 - 2 + 2 + 76*k**3.\nAnswer: 218*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*(z**(-6\/7)\/z)\/z*z*z*z**(-16) assuming z is positive.\nAnswer: z**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yllf when four letters picked without replacement from {l: 6, f: 8, y: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -19. Let p = -29 - g. Which is smaller: p or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 0*u**3 + 7*u + 1\/36*u**4 + 0 + 0*u**2. Factor n(f).\nAnswer: f**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {w: 4, x: 7, p: 2, d: 1, q: 3}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3 + 4*g**2 + 8*g = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let o(r) = r - 1. Let n(m) = -3*m**2 - 4*m + 4. Let y(l) = -n(l) - 4*o(l). What is y(w(z))?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i*i*i\/i**(4\/13))\/i*i))\/(i*i**(-1)\/i*i))**(15\/8)\/((i**(1\/2)*i)**(6\/17)*((i**1*i)\/i)\/i**(3\/8)) assuming i is positive.\nAnswer: i**(-5483\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -577920 or -577915?\nAnswer: -577915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-9)\/(-45) + (-1)\/5. Put i, -23, 2, 1 in descending order.\nAnswer: 2, 1, i, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2244646, -2244706, -2244802, -2244934?\nAnswer: -2245102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50181 is divided by 10021?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 337590 - 199537. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 + 311. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:41 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 426985521 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -221*n - 1980. Calculate the remainder when 1555 is divided by g(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v - 2. Let o(q) = -3*q**3 + 2*q - 6481. Give 2*i(f) + o(f).\nAnswer: -f**3 - 6485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403025 (base 6) in base 2?\nAnswer: -10011001001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/610 and 89\/366?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1151*y = -1216*y + 1840*y - 38998 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545735787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15197*a**2 + 15197*a**2 + a**3 + 16 - 45604*a**2 + 15210*a**2.\nAnswer: a**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201880.\nAnswer: 2, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*z + 137*z + z**2 - 12*z**4 + z**3 - 286*z in the form l*z + j + w*z**4 + o*z**3 + k*z**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 79 = 2*o + 649, -3*o - 732 = -5*p. Suppose -9*y = 711 + p. What is y rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqolcej. Give prob of picking 1 l and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 425 + -30 + (42\/35)\/(2\/(-5)). Calculate the greatest common factor of 11074 and o.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - 23\/(-4))\/(-12). Let d(i) be the second derivative of -1\/8*i**2 + 0 - h*i**4 + 2*i - 1\/12*i**3. Factor d(x).\nAnswer: -(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 3*m + 3*m)*((-m + 0*m - 2*m)*(2*m - m + m) - 3*m**2 - m**2 + m**2) to the form l*m + i + q*m**2 + k*m**3 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 1 - 1 + (-2 + 3 - 2)*(l - l - 5*l**2).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjavavzzvjjzajgaag. What is prob of picking 1 z, 1 a, and 1 v?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*m, 5*b - 11 = 4*m - 47. Sort b, 2, -5, 5 in descending order.\nAnswer: 5, 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(2))\/sqrt(11) + -6*(sqrt(12) - sqrt(3)))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*k - 12, -4*k - 12 = -2*w - 5*k. Suppose 4*u - 4 = -4*z + 12, -z = -2. Find the third derivative of c**w - 16*c**u - 3*c**6 + 17*c**2 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.2, 0.074, -4, -28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s)**(-21)*s**(4\/7)\/(((s**(-1\/4)*s)\/s)\/s) assuming s is positive.\nAnswer: s**(1815\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 11) to base 9.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -541, -4134, -13905, -32944, -64341, -111186, -176569, -263580?\n\"Answer: -515*o**3 + o**2 + 9*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(70\/((-252000)\/(-1140)) - (1 - 14\/15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (-2 - 0 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5415928106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -75. Let x be 13\/(52\/(-40)) - 3*q. Let b(g) = g**2 + 6*g - 2. Let m be b(x). Solve m - 17 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*u + 20 = 0, -5*u - 7 = -k - 3*u. Calculate the highest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 1. Let h(c) = c**2 + 5. Let o(x) = h(x) - 2*s(x). Let n be o(-4). Calculate the remainder when 21 is divided by ((-2)\/n)\/((-1)\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5.92. Let j = h + -0.38. Let s = j - -0.4. Is 2\/7 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -1)*(-10)\/(-4). What is the highest common factor of 15 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*1*-6 + (sqrt(204) - 4*sqrt(204)*-3))\/((2*sqrt(588) - sqrt(12)) + sqrt(60)\/sqrt(180)).\nAnswer: 42*sqrt(17)\/79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4688216 divided by -586027.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3487 - 3588.92. What is k rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933*o - 487*o + 168 + 360 = 512*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 6*d - 4532 = 0. Calculate the smallest common multiple of 3 and d.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -12. What is the second biggest value in -2\/9, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -365\/9 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + u + 6 = -8, 0 = -3*r - u + 11. Which is bigger: -4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9215 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 147263983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 253*f - 8. What are the prime factors of z(1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1104 (base 12) to base 13.\nAnswer: b14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 21*c**2 + 102*c - 7. Let w(z) = -2*z**2 + 130*z - 917. Let q be w(8). Calculate t(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Suppose 159 = g - w*p, 5*g + p - 743 = -0*p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/17 in -2\/7, -0.3, 2\/11, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2b0e (base 16) to base 14\nAnswer: 4034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/6 of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:51 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-120)\/16 - (-2)\/4. Suppose 4*h + 58 = 2*c + 3*c, 0 = h - 2*c + 13. Let o = 9 + h. Which is greater: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21+-0.1\nAnswer: 20.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*q = 2 + 7, 5*h = 2*q + 15. Let s be 0\/(3\/h) + 0. Let o = 10 - 7. Do s and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 160\/20 - 120\/10 - 155\/(-39). What is the smallest value in c, -0.3, 0.3, -1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7627*t**2 - 1820522 + 1820522 + 6207*t**2 to o*t + g*t**2 + z and give g.\nAnswer: 13834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1862424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v**3 - 3 + 1 - 58*v**3 + 99*v**3.\nAnswer: -15*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -87968, -176442, -264916, -353390?\n\"Answer: -88474*v + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(96) - 1*2*sqrt(96))\/(sqrt(48) - sqrt(192)).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 23*i**4\/12 + i**2 + 27*i. Differentiate f(z) with respect to z.\nAnswer: 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3192543*v**3 - 11340309 wrt v?\nAnswer: 9577629*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15503424 - -2?\nAnswer: 15503430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(sqrt(720)*-2 + -1) + -3*4*(sqrt(20) + -2 - ((sqrt(50) - sqrt(150)\/sqrt(3)) + sqrt(50))\/sqrt(10))**2.\nAnswer: -100 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228 - -210. Which is smaller: f or 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r - 8. Suppose 5 = b, 2*k - 4*b + r = -2*k. Suppose 5*h + 17 = 4*c - 3*c, -k*h = -2*c + 13. Solve c*y = y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 12242?\nAnswer: -12242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 855 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 114 + 12 = 5*m, 5*m - 3*v = 127. Suppose -4*a + 2*l = -m, -3*a - 1 + 4 = 4*l. Solve -a*n = 5 + 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 1. Let p(f) = 13*f**3 + 6*f**2 + 8*f - 2. Let s(i) = -12*i**3 - 5*i**2 - 7*i + 1. Let t(u) = 5*p(u) + 6*s(u). What is -6*a(z) + t(z)?\nAnswer: -z**3 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0)*(-3 + -2 + -6). Solve 3*u - b = 2, 3*u - 4*u = 5*b - s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60862410 and 91385.\nAnswer: 60862410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1410.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*x - 2*x - 6, -4*x = 2*t + 12. Let v = -6 - t. Let h(n) = -n + 6. Calculate h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -2)\/((-12)\/20). Suppose -s = 7*g + 7, 2*s = 7*s - 2*g - 2. Which is the biggest value? (a) s (b) -20 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 7\/4369 (b) -3 (c) 1\/2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175768 and 18511?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001778 to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 119\/24 + (-76)\/(-1824). Let s(g) be the second derivative of -g + 1\/4*g**4 + 1\/90*g**6 + 1\/12*g**f + 7\/18*g**3 + 1\/3*g**2 + 0. Factor s(t).\nAnswer: (t + 1)**3*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 a factor of 395495617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 3*f + f + (0*f + 0*f - 2*f)*(2 - 2 + 2) - f + 2*f - 2*f + 3*f + 0*f - f - f + 0*f - f - 7261 + 14528 - 371*f - 7265.\nAnswer: -378*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12230330003 (base 4) to base 6\nAnswer: -101353535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31131222 - -1200?\nAnswer: 31133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -29*v + 9. Let o be k(3). Calculate the remainder when o\/(12\/8*-1) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.057 + 3.057. Let s = -62 - -308\/5. Let r be 2 + 42\/44*-2. Which is the biggest value? (a) k (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-6)\/15) + 1. Let i be 35\/30 - (-3)\/(-18). Let c = i - o. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmxx. Give prob of picking 1 x, 1 t, and 1 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -44*k**2. Let o(l) = 5215*l. Give a(o(p)).\nAnswer: -1196633900*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*k*o**4*r + 15049*k*o**3*r + 113*k*o**2*r + 2*k*o**2 - k*o*r + k - 22*o**2*r wrt o?\nAnswer: -600*k*o*r + 90294*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12014173\/78199014 + 1\/218433. Find the common denominator of (48\/128)\/(1\/4) and x.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = y - 0*y. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*l - 0*l + 160, -5*d - 5*l = 740. Let r = -95 - d. Suppose 14*z + 17*z - 357 - 263 = 0. Calculate the greatest common divisor of r and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9195 = -v + 10919, 3*d - 100618 = -5*v. List the prime factors of v.\nAnswer: 2, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 39\/9)\/(15 + (-64540)\/4305)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.1 (c) -4\/3 (d) -28\/673 (e) 0.3 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(20)\/sqrt(2)) + sqrt(40) + sqrt(1960)*-1)\/(sqrt(72) + (-2*(sqrt(72) + -5*sqrt(72)) - sqrt(72))).\nAnswer: -5*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (530\/(-85))\/(-2) + (-10)\/85\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4089418, 8178838, 12268258, 16357678, 20447098?\nAnswer: 24536518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176565789 divided by -279819.\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3374 * 6.22\nAnswer: -20986.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7839*g**4 + 379*g**5 + 8*g**2 - 3917*g**4 - 3922*g**4 wrt g?\nAnswer: 22740*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 382*z - 3. Let k(b) = -2878*b. Calculate o(k(c)).\nAnswer: -16565768*c**2 - 1099396*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -762415, -1524821, -2287225, -3049621, -3812003, -4574365, -5336701, -6099005?\n\"Answer: d**3 - 5*d**2 - 762398*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/5 - 292*y\/5 - 2208\/5 = 0. What is y?\nAnswer: -138, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 + 3*i**4 - 7*i**4)*(23 - 6*i - 23) + 4*i**4 + 3*i**5 - i**4 - 5*i**5.\nAnswer: 10*i**5 + 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9631764.4536 and 0.12304?\nAnswer: 9631764.57664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3787 + 1750*b + 834 - 3031 - 40 + 543 wrt b?\nAnswer: 1750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60464 + -42201. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 112, 831, 2784, 6589, 12864, 22227, 35296?\n\"Answer: 103*f**3 - f**2 + f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most 22\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12916 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17905?\nAnswer: 5, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (56 - (-60 + 78))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-6)*(-12)\/5. Suppose -n = n - h. Suppose 7*w = n*w + 780. Does 39 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*b**2 + 40*b**2 + 41*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2 - 0. Suppose -22 = k - m*k. Suppose 157 - k = 5*a. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.798 times -192642?\nAnswer: -346370.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -116, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 - v**2 - 3*v - 1. Let i be f(3). Let k = i + -35. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -86, -821, -2838, -6779, -13286?\n\"Answer: -107*i**3 + i**2 + 11*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23139481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 266065741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 - 5*f. Let d(n) = -2*n**2 + 3*n. Let p(b) = 3*a(b) + 5*d(b). Suppose 0 = u + 6 - 8. Let x(t) = -2 + u + 2*t**2 - t**2. Calculate p(x(y)).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 417 and -24.\nAnswer: -10008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-45) + 1\/(36\/116). Solve 2*k - 3*k - 4*s + 7 = 0, -a*k - 5*s + 14 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - m + 9, -3*m + 5 = -4*m. What is the highest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 6. Let i be q(-5). Let m = i + 8. Calculate the remainder when 13 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56335 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878968 is divided by 84.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 30\/(-70)*7 + (-1)\/(3\/(-471)).\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - h. Let t = -4621\/550 - -411\/50. Sort h, -0.3, -1\/3, t in increasing order.\nAnswer: -1\/3, -0.3, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*b - 56*b - 86910 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62229\/2 - -31115. Which is smaller: -413 or o?\nAnswer: -413","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 51639*m + 1669. Is k(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*g**3*r**2 - 1802538*g**3*r + 24842526*g*r**2 + 44*r wrt r?\nAnswer: -16*g**3 + 49685052*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 797, 799, 801, 803, 805, 807?\n\"Answer: 2*c + 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3187 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 - 3264*c\/5 + 3266\/5.\nAnswer: -2*(c - 1)*(c + 1633)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11677 + 11687. Suppose 385 = -3*z + 6*z + s, 5*z = -2*s + 642. Calculate the remainder when z is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 411?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 37676158*w**2. Let a(x) = x**2. What is j(a(o))?\nAnswer: 37676158*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugarbhh. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 4*l + 8*l)*(l + 4 - 4)*(-2 - 2 + 6 + (1 - 3 + 1)*(-5 + 3 + 3))*(6 + 0 - 2)*(-3*l - l**3 + 3*l).\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c - 2*c = 0. Sort 3, -3, c in ascending order.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*a + 5977050 = 6016992 for a.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*v**2\/11 - 6906*v\/11 + 31590.\nAnswer: 6*(v - 65)*(4*v - 891)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5775 by -1155.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - 0 - 0. Let u = 3817 - 3817.3. Put u, n, 1\/10, 1 in ascending order.\nAnswer: u, 1\/10, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6)*16\/252. Let p be (-145)\/(-30) - 48\/12. What is the third smallest value in p, 0.1, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 699*n**2 + 13*n - 14. What is the units digit of a(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3 + 200*i + 10*i**3 - 25*i**2 - 200*i wrt i.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14\/3 (b) -1\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156190 by -5.\nAnswer: 31238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 4*z**2 + 14*z - 12. Calculate d(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19190?\nAnswer: 2, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -13*h - 6. What is the remainder when h\/9 + 1114\/6 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*u + 14 - 417*u - 14.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 1:20 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*o**3 + 13*o**3 + 7*o**5 + (24*o - 15*o + 20*o)*(17*o**4 - 101*o**3 + 101*o**3) + 5*o**5 - 2*o**5 - 4*o**5.\nAnswer: 499*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4 - 4*f**2 - 39*f + 3 wrt f?\nAnswer: 12*f**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*p*r**4 + 2*p*r**3 + 1982479*p - 608229*r**4 - 13*r**2 wrt r?\nAnswer: -1872*p*r + 12*p - 14597496*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3161956?\nAnswer: 2, 7, 112927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 33\/422, 0.1, 0.01 in increasing order.\nAnswer: 0.01, 33\/422, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1440 + -1435. Solve -5*f - 4*t + 21 = 0, -m*t = -0*t - 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 165\/(-10)*(-4)\/18*6. Suppose 19*b + 12 = m*b. Suppose -2*f = -c + 5*c - 76, 3*c - 4*f - 46 = 0. What is the smallest common multiple of c and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503 <= 5532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42\/5, -3, -5 in descending order.\nAnswer: 42\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*-81084701\nAnswer: 81084701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 - 4.1. Let g = -2613 + 2613. Put y, -2, g in increasing order.\nAnswer: -2, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(13) - (-5 + sqrt(832)))**2.\nAnswer: -3972 + 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = 219*f - 123*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -82*g + 49. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3450000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7119001.\nAnswer: 2281, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 245, 242, 239, 236, 233?\n\"Answer: -3*c + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*q = -184*q + 95*q - 636. Calculate the remainder when 279 is divided by q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 0 - 2\/7*v**2 - 20\/7*v = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 21*o + 16 + 23*o + 8.\nAnswer: 2*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - (10\/75 - 1) and -113\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)\/(1\/19). Find the common denominator of (-4 - -2)*86\/(-40) and (s + 1)\/((-88)\/(-14)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*(2*l - 6*l + 3*l) - l - 2 + 2 + (1 + 1 - 5)*(2*l - 3*l + 3*l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -9. Let n be ((-9)\/(-12))\/((-21)\/(-8)). Which is the second biggest value? (a) 5 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (258*d**2 + 405*d**2 - 75*d**2)*((0 + 0 + d)*(4 - 2 - 1) + 6*d + 0*d - 4*d).\nAnswer: 1764*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/30 + 17*f**5\/60 - f**4\/6 - f**3 - 1109*f**2. What is h(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 = -3*o + 20, 0 = o + 2*a - 5. Calculate the remainder when ((-1)\/2)\/(o\/(-90)) is divided by (-6)\/4*(-96)\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 23*y - 169. Let p be q(-10). Calculate the highest common divisor of p and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76539511?\nAnswer: 239, 293, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4))**45\/(w**(1\/5))**(10\/9))**(-18) assuming w is positive.\nAnswer: w**(413\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 10247771\nAnswer: -10247771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*r - 8, 4*o - 2*o + 14 = 4*r. Solve 2*a + 2*n - 8 = 0, -r*n + 11 + 1 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 23, -1, 5, -530.\nAnswer: -530, -3, -2, -1, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + q**3 + 4*q - 1 - 3*q + 3*q as k*q**3 + b*q + l*q**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3192096.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 609 and 546.\nAnswer: 15834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:12 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119.056 - 119. Let r = b + 83.944. Let i = 67 - r. Is 3 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 986358.7 millilitres in litres?\nAnswer: 986.3587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p - 61. Calculate o(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2342014 - 11?\nAnswer: 2342003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/8 - 2\/(-8). Suppose 4*s - 2 = -2*l, -p*l = -s - 0*s - 5. Suppose 0 = -3*h + x - s*x + 4, -4*x + 35 = 5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + k - 22 - 6 = 0, 2*k - 8 = 0. What is the common denominator of (-89)\/(4\/(-2) + d) and (20\/(-30))\/(28\/141)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 125.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hooo when four letters picked without replacement from ohoooooooohoo?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 3, -3 in increasing order.\nAnswer: -58, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5452*t + 116 + 5456*t + 36 - t + 4*t - 2*t + (0*t + 2*t + 0*t)*(1 - 4 + 2).\nAnswer: 3*t + 152","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 52 = -v. Let l be 3\/(-18) + v\/12. Solve 0 = l*d + q - 9, -q + 12 = 3*d + 2*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -374, -5, 5, 177, -3 in increasing order.\nAnswer: -374, -5, -3, -2, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-1)*((-692)\/8 - 4). Suppose 885 = -5*s + v. Solve -18 = -s*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*f, -3*n = 3*f - n - 15. Suppose f = c - 1. Let q be (-2 + c)*1\/(-6). Sort 3\/2, q, 2\/15 in increasing order.\nAnswer: q, 2\/15, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1260.24 - -1191.329. Let k = -69 - a. Let i = k + -0.681. What is i rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7285, 14574, 21877, 29200, 36549, 43930?\nAnswer: 51349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 2, 322, 5, -20, -1 in increasing order.\nAnswer: -20, -1, 2, 3, 5, 14, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(152) + sqrt(152) + sqrt(152)*1))\/(4*sqrt(72) - sqrt(8)) - ((sqrt(228)*2)\/sqrt(12) + -2)*-5)*1 + -3)**2.\nAnswer: -3094*sqrt(19)\/11 + 289508\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -2.996.\nAnswer: -44.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/25 (b) 3 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.9784 - 8824.3664. Let t = 8732 + h. Let v = t - -54. Round v to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 3. Let z be o(0). Suppose 2*h = -m - 8 + 15, -5*h - z*m = -20. Let b be (h - 1)\/(2*-1). Solve 3*r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0228 + -0.0772. Let c = -62 + 36. Let k be (-1)\/(-4) + 120\/32. Sort c, k, l in increasing order.\nAnswer: c, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 24*k + 30 = 19*k, 0 = 3*u + 5*k - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -73. What is the smallest value in 2, -2\/11, 2\/3, q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4612 (base 10) to base 4\nAnswer: -1020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2362 is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 = -1, -3*b - 27 = -4*x. Let h(k) = 5*k - 16. Let i be h(4). Solve 3*w + i*z = 2*w - 2, 2*w = -z + x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 4\/7, 0.2, -14, -72?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18732937 to the nearest integer?\nAnswer: 4328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216419466.\nAnswer: 2, 3, 23, 1568257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 952412034.9359895 + -952325611.96. Let w = -86423 + c. Let a = 0.024 + w. What is a rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w - 7*w + 0*w + (2 - 3 - 4)*(-8*w - 3*w + 3*w) to the form d*w + i and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 741098693 to the power of 1\/2, to the nearest integer?\nAnswer: 27223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00172924107 rounded to six decimal places?\nAnswer: -0.001729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 106. Suppose 3*l + 8 = o. Let q = l - 5. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 1746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*-2 - sqrt(350) - sqrt(14))\/(sqrt(7) - sqrt(14)\/(sqrt(2)*2)).\nAnswer: -32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 44, 106, 192, 302, 436, 594?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1860873, -3721738, -5582603, -7443468?\nAnswer: -9304333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12486887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from dqwkqqwwkqsyskkkkkkq?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 35. Let s = -1 + c. Suppose -2*d + s*g + 10 = -4*d, g = 3*d - 5. Which is smaller: d or 6\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40144 - 40?\nAnswer: 40104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, 17, -2 in decreasing order.\nAnswer: 21, 17, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**2*f**3*k + 408*a**2*f**3 + 71*a**2*f**2 + 24*a*f**2*k + 61*f**3*k - 302*k wrt f?\nAnswer: 84*a**2*k + 2448*a**2 + 366*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1770*v = 1678*v + 31086800. What is v rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t + 42*t + 1275 = 0. Does 35 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138*u**4 + 1655*u**2 + 1667372*u.\nAnswer: 1656*u**2 + 3310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/12775884 and 49\/871083.\nAnswer: 38327652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 23. Suppose k*s - 6*s = -36. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/8? (a) 0.1 (b) -0.5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2*1 + sqrt(114)*2*-3 + sqrt(114))\/(sqrt(486)*2*6).\nAnswer: -sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3291 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210420035 - 335?\nAnswer: 210415300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - 4. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1\/105*h**7 - h**2 + 0*h**3 + 0 - 1\/30*h**5 - 1\/180*h**6 + 0*h + 1\/36*h**4. Determine l so that w(l) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43*-82.3397\nAnswer: -3540.6071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 975171319 by -610627.\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 2*d + 7. Let j be n(5). Let m = j - -10. Put 3, 0, m in descending order.\nAnswer: 3, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171dc3 (base 15) to base 7.\nAnswer: 12343662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388\/1552*12\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - g**2 - g - 1. Let q(p) = -5*p**2 + 9*p + 10. Let v(n) = j(n) + q(n). Let c(f) = -8*f + 1. Let o be c(1). Let m be v(o). Is 2 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 51, 31, -25, -129, -293, -529, -849?\n\"Answer: -2*b**3 + 18*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 527.3012mg in micrograms?\nAnswer: 527301.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14567661 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4419)\/45 + 8\/(-10). Let z = -54 - d. Calculate the highest common divisor of 30 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 641 + 244. Suppose -d + 4*d = x. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 7, 0, -21, -62, -129, -228, -365?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079765771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 10, -3*d - 5*d - 10 = 5*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168824*o + 151750*o - 34424*o.\nAnswer: 286150*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 - ((-5)\/(-45) - (-20560)\/(-1980)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127229649 rounded to the nearest one million?\nAnswer: -127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (205 + (-251 - -135))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 303*q + 5. Let u(z) = 1209*z + 22. Calculate 9*c(y) - 2*u(y).\nAnswer: 309*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*l + 1926*l + 2159*l - 938*l + 2192*l in the form c + u*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 1\/60*x**5 + 0*x - 3 + 27*x**2 - 5\/4*x**4 - x**3. What is the first derivative of t(y) wrt y?\nAnswer: 2*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50035 * 594.\nAnswer: 29720790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1936 + 1513. List the prime factors of o.\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -21*k**3 + k**2 - 4*k - 12. Let y be f(-2). What is the highest common divisor of 3072 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 + j + 1. Let n(r) = -7*r**3 + 5*r**2 - 6*r - 13. Suppose 3*o - 16 = -4*h, -2*o + 0 = 4*h - 12. Calculate h*n(z) + 6*p(z).\nAnswer: -z**3 - z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 50. Let f be d(-13). Let n(j) = -37499*j**3 + 2*j**2 - 9*j - 18. Let k be n(f). What is k rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2)\/((-30)\/((-20)\/(-2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -313230*v + 5638134. What is t(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39905, 159520, 358877, 637970, 996793, 1435340, 1953605?\nAnswer: 2551582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 28 + 26 - 61 + 7*a.\nAnswer: 7*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 + 2 + 3*r**3 - r**4 + 2*r**4)*(2*r - r + 3*r).\nAnswer: 12*r**5 + 12*r**4 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31319 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: Which is the third biggest value? (a) 2\/15 (b) 4 (c) -1 (d) 64 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in -5, -10, 3, 0.012, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.19308745 or -0.1?\nAnswer: -0.19308745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 99?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 12:32 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -32?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*i - 39*i - 29656. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 54901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.1 (b) -4 (c) 2.66 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 120 + 110 = 3*d, -135 = -2*d + h. What is the smallest common multiple of d and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*g - 12, -232*g + 231*g = 3*s + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20108 and 8288152.\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 18046, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 659.4993 millennia?\nAnswer: 7913991.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -1b8?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 + 237*c**4 - c**3*d - 3*c**2*d + 58*c**2 wrt c?\nAnswer: -120*c**3 + 5688*c - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 12. Suppose x = 5*l - 25. Suppose -l*v + 10 = -3*v. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 35, 57, 83, 113?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29041, -29091, -29151, -29227, -29325?\n\"Answer: -k**3 + k**2 - 46*k - 28995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15057915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1, -5.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:37 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 12945339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 591586752?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 986871*n - 51317461\/4.\nAnswer: (n - 3947497)*(n + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061588111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -305*f*y**3 + 23*f*y**2 - f - 2*y**3 + 6471*y**2 - 7*y + 4 with respect to f.\nAnswer: -305*y**3 + 23*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/40 and -32\/35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*f + 20 + 0 = -7*n - 12, -2*n + 5 = 11*f - 31 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26551.\nAnswer: 7, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 61545*n + 615750.\nAnswer: -3*(n - 10)*(n + 20525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1392*a**3*g**3 + 602*a**2*g - 734*a*g**3 - 2*a*g**2 - 209*g**3 wrt a.\nAnswer: 8352*a*g**3 + 1204*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**6\/1260 + d**5\/140 - 3*d**3 + 8. Let i(j) be the third derivative of p(j). Factor i(r).\nAnswer: -2*r*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -285837349*n**3 + 55425118?\nAnswer: -857512047*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 - 907293*y + 8165394 = 0 for y.\nAnswer: 9, 302422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from tztzztzzzztzzz.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 10. Let o = 0 - 9. What is the units digit of d(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 80 - 108 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - 2*i**2 + 2*i + 1. Let q be u(2). Suppose -5*p + q = 2*j, -2*j = -p + 3 - 2. Find the second derivative of 8*z**2 - z**j + 0*z - 3*z wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.81 + 33.31. Sort 1, m, -2\/3 in descending order.\nAnswer: 1, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 27*h - 244. Let g be m(9). Let d = -5.96 + 6. Is d >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:36 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2572 times -0.4?\nAnswer: 1028.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152 and 108.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 + 13*g - 1. Let m(b) = b**2 - b - 1. Let v(l) = -5*m(l) - q(l). Let o be v(6). What is o rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 9. What is the least common multiple of s and 2 + 6\/(-9)*-12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 9*d + 92. Suppose 4*f + 3*x - d = 0, 0 = -3*f - 2*x - 0*x + 16. Calculate the highest common factor of f and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h = -109*h + 861. Calculate the remainder when h is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3 + 839*f**2 - 146280*f - 175146768 = 0?\nAnswer: -636, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 1. Let g(b) = -10*b + 1. What is g(u) - 6*o(u)?\nAnswer: -4*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 600 + -333. What is the least common multiple of m and 15?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(24\/13)\/2.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 754*q**2 + 23*q + 22. Let j = -126 - -125. What is the hundreds digit of b(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 685\/810 + 15\/(-10) and -35\/216?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.46, -0.3, 0, 425 in descending order.\nAnswer: 425, 0.46, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5489429511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(126) + -2*sqrt(504))\/((sqrt(44)\/sqrt(44))\/sqrt(2)) + 2)*-2*-5.\nAnswer: -180*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 419 - 3*f**2 - 3*f**2 + 3*f**2 + 3*f - 407 - 2*f**3 to b*f + p*f**2 + c + k*f**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**3\/6 - 3*j**2 - 5*j. Differentiate v(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.23 less than -1479671?\nAnswer: -1479844.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -66 - 9 = 75*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 51*w - 12. Let a be i(51). Let d be (2508\/(-9))\/(a\/18). Calculate the greatest common divisor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 353361432*j**2 + 706722852*j + 353361424.\nAnswer: 4*(j + 1)**2*(j + 88340356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 25*v**2 + 35*v + 34. Give t(-12).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 938744, 1877562, 2816380, 3755198, 4694016?\n\"Answer: 938818*n - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740395788.\nAnswer: 2, 3, 11, 2069, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 15*k**3 - 21*k**2 + 75*k - 15. Let y(z) = 8*z**3 - 10*z**2 + 39*z - 7. Let n(l) = -5*x(l) + 9*y(l). Factor n(g).\nAnswer: -3*(g - 2)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*t - 2*o, 3*t + 2 = o + 3. Suppose t = -10*z + 17*z - 567. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*o + 21*o - 36*o)*(4*o + 20*o + 0*o) to i + h*o**2 + s*o and give h.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p + 2 = 0. What is the second smallest value in 8\/3, p, -4, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewemdlw. Give prob of picking 1 e and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*x + 25. Solve x*q - 8 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.831375 tonnes to grams.\nAnswer: 4831375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206532 - 206532.139613. Let c = j - -0.049584. Let b = c - -0.09. Round b to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6 - -1) + (-6)\/72?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -516*c**5 + 22*c - 2 wrt c?\nAnswer: -10320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 + 8*s + 8. Let x be d(-6). Let u be (2\/x)\/((-1)\/(-8)). Let i = u - -6. Solve 4*b - i = -4*p + 2, -2*p = 4*b + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*q**3 - 15*q + 2295 - 2295 wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 673374*b**3 + 436652*b + 2 wrt b.\nAnswer: 4040244*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o + 19*o - 56*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -31.2. Suppose 15*t = 13*t - 6. Let z be (14\/49)\/(t - (-7)\/2). Which is the biggest value? (a) k (b) z (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/9 (b) -12 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12*x**3 + x**2 - 2*x + 1. Let l be g(1). Let r = l - -18. Solve 0 = r*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (158\/(-4))\/((-17)\/(-34)). Let f = 151 + s. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*0\/(-2). Let h = -0.1 + -2.6. Let c = -3 - h. What is the closest to p in 3, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 6*r**2 - r - 25. Let i be x(4). Solve 2*n = -i*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -24*l + 7. Give x(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 0 (c) 0.17 (d) 3\/5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 - -11103312?\nAnswer: 11110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3465732 and 1104.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**22*o*o**(-7) assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -117, -124, -145, -186?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 + 138. Suppose -18*k - 14*k + 960 = w. Is 30 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108848 is divided by 3025.\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 - 169. Let o be 0*(3\/(-6))\/(-1). Solve o = 2*p + m*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8336*k**3 + 27991*k**2 + 33631*k - 3403.\nAnswer: 50016*k + 55982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:29 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.65277 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or 909?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - g - 1 = -14, -4*f + 3*g = 6. Which is smaller: f or -7\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22930537.\nAnswer: 7, 1123, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 0*n - 160*a - 795 - 5 = 0, -3*a - 13 = 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = r. Let b(t) = r*t - 3*t - 4*t. Let i(q) = -6*q**2 + 3*q**2 + q**2. What is b(i(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30622 less than 18321?\nAnswer: -12301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -504, -502, -498, -492, -484, -474?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -851 in decreasing order.\nAnswer: 0, -5, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.253 - -5.253. Let z(v) = -v**3 - 7*v**2 - 7*v - 8. Let k be z(-6). Which is the fourth smallest value? (a) 1.1 (b) r (c) k (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y**3 + 0*y**5 - 1\/6*y**4 + 1 + 0*y + 1\/6*y**2 + 1\/18*y**6. Determine h, given that n(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110110 - -100?\nAnswer: 10010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.51 + -20.51. What is the closest to 2\/3 in 0, -4, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:49 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 2\/9, 2\/61, 4, 0.2.\nAnswer: 2\/61, 0.2, 2\/9, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126*r**4 + 2400 - 1471 + 64*r**4 + 2280 - 156*r**4 wrt r.\nAnswer: -872*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/10 + (27\/(-5))\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 2*i**2 - 4*i. Let n be b(-3). Suppose 0 = -f - n*f + 44. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (-1 - -1))*24\/40. What is the common denominator of 19\/32 and g + -6 + (-1020)\/(-352)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, u: 9, v: 3}. What is prob of picking 3 n and 1 v?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = -67*r + 450. Let t(i) = -i**3 + 4*i**2 + 2*i - 4. Let a be t(4). Let w(u) = a*u + 2*u - 3*u - r*u. Let f(y) = 2*y. What is f(w(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -233, -606, -1149, -1862?\nAnswer: -2745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -50*f**3 + 33*f**2 + 7*f. Let u(c) = -25*c**3 + 17*c**2 + 3*c. Let g(t) = 3*r(t) - 7*u(t). Find the third derivative of g(q) wrt q.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - -360a?\nAnswer: 35f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -922.5 - -0.2.\nAnswer: -922.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015347 rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrbu when four letters picked without replacement from uvuvbcvurccrvvvbr.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(95)*-1 - sqrt(95)) - sqrt(95))\/(sqrt(5) - sqrt(80)*-6))**2 + 3.\nAnswer: 1894\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3\/6 + 3*b**2 - 4*b\/3.\nAnswer: b*(b + 4)*(5*b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14*(349 - (-1)\/((-3)\/9))?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0, 4 in ascending order.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 5*x**2 + 5*x - 5. Let r be d(4). Which is the nearest to 2\/7? (a) -6 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2674105*t**4 - 26698293*t?\nAnswer: -32089260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16752 and 16?\nAnswer: 16752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -426*k + 818*k - 405*k - 2. Suppose 27 = -2*q - q. Is i(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -12.6. What is the closest to -2\/3 in u, 0.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = 6*c. Does 14 divide 56\/c*(-5 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/24 and -73\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1750410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 8 = 3*t - v, 0 = 3*v - 15. Let j(d) = -d. Let p(g) = g + 2. Let k(c) = t*p(c) - 2*j(c). Give k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1220\/7320)\/((-12)\/(-368))\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 38469?\nAnswer: 7693.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426007 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 13) to base 4.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -1.5. Let n = -5 - -9. What is the closest to -0.1 in 3, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/3428753 and -31\/10286259?\nAnswer: 10286259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 33 = -5*f + 18, -4*t + 4*f + 24 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -45. Suppose -3*m + 2*d - 6 = 0, -3*m - 3*d + 9 = -2*m. Suppose m*v = -2*v - 4, -5*v = -l + 14. Solve -l - a = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (238*j**3 - 112*j**3 + 31*j**3)*(2*j - 5*j + j)*(-3 - 2 + 4) as z*j + k*j**3 + w + d*j**2 + r*j**4 and give r.\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 96 - 208 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -432 (base 8) to base 6\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 111*r + 525. Let y be l(-5). Sort 3, y, -3, 2 in ascending order.\nAnswer: y, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/3)\/(4\/12)*0. Suppose s = 5*h + 3*h + h. Put -1, -1\/4, 0.05, h in increasing order.\nAnswer: -1, -1\/4, h, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:57 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**9\/60480 - l**8\/5040 - l**5\/30 + 4*l**2. Let q(v) be the third derivative of x(v). Give q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let c(y) = y + 2 + 6*y - 13 + 9. Determine c(t) + 2*j(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 - -198. What is the highest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**4 + 4*t**3 + t**2 + t - 1. Let k(o) = -6*o**4 - 21*o**3 - 3*o**2 - 3*o + 274. Let p(s) = -3*c(s) - k(s). What is the derivative of p(l) wrt l?\nAnswer: 36*l**3 + 27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78.1 - 43.5. Let j = -122 - d. What is the closest to -0.1 in 3, -1\/6, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 j when four letters picked without replacement from {j: 3, g: 1, x: 3, p: 2, q: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -4*p**5\/5 - 111*p**4\/4 - 2*p**3\/3 + p**2\/2 - 418*p - 1320. What is the third derivative of x(f) wrt f?\nAnswer: -96*f - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242\/81 != 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, 6, 22, 38, 54, 70?\n\"Answer: 16*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - m = 2*c - 44, 52 = 4*c + 5*m. Suppose -4*f = -c, f + 1478 = 2*b + 5*f. What are the prime factors of b?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m + 2*m)*(-7771*m**3 - m**2 - 5190*m**3 + 10901*m**3).\nAnswer: -2060*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2374203 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, u: 2, m: 2, y: 1}. Give prob of sequence ummy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 0 - (-2880)\/44 - 36\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1*(-8)\/4. Let o = h + 8. Suppose -3*l - 5*r = 25, 0*l - o = l + 2*r. Is 2\/7 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 - 4*k - 3*k**4 - 4*k + (0*k**3 - 3*k**3 + 4*k**3)*(-5*k + 4*k + 2*k) + 0 + 0 + 2*k**4 to x + o*k + c*k**4 + l*k**2 + f*k**3 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*h - 45 = 105*h. Suppose 0 = -5*b - 5*a + 590, 4*a + 48 = b - h. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 495341 + 656651 = -3*s, 0 = -4*s - 4*u - 1535984. Round s to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**2 - 3*f - 6. Let o(b) = 22*b**2 - 7*b - 12. Let v(p) = 5*l(p) - 3*o(p). Let y(m) = 4*m**2 - 2*m - 2. Determine -3*v(u) - 8*y(u).\nAnswer: u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r - 9*r = 0. What is the nearest to r in 2, -22, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w - 0*w. Suppose -5*r - 6*r + 4*r = w. Suppose 8*o - 14 - 10 = r. Solve -4*j - o = 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**4\/12 + 2*a**3\/3 - 2*a**2. Let l(o) = -2*o - 5. Let b(y) = 3*l(y) + 4*p(y). Let m be 13\/(-3) - (-4)\/(-6). Give b(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -394 (base 11) to base 8.\nAnswer: -722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 213068435 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 13116 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4\/5 + 24*l**3\/5 + 208*l**2\/5 + 168*l\/5 - 396\/5 = 0. What is l?\nAnswer: -3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 = 3*m. Let d be (37 - 33)\/(2\/m + 0). Suppose d*i - 1808 = -296. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*13\/(78\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((-36)\/(-2) - (-9 - 21)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 28 (c) -4 (d) 0.159 (e) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 36 + 12 = 0. Solve -3*v = 5*k + j, -9 + 14 = -k - 4*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 294 - 275.5. Let y = r + -18.7. Which is the closest to -2\/5? (a) y (b) -18 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-6))\/((-248)\/(-93))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 13*a**5\/60 - a**4\/24 - a**3\/3 + a**2. Let i be n(3). Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 782 and 213710825.\nAnswer: 427421650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30308319 and 886874?\nAnswer: 29421445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722426 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516 (base 7) in base 13?\nAnswer: -373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**4 + 6*w**4 + 4*w**2 - 24 - 2*w**3 - w**4 - 3*w**2 as z*w**4 + i*w**2 + a + j*w**3 + s*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 20*d = 45*d + 672 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47717\/10 - 4768. Calculate the common denominator of -51\/344 and u.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - 1208106.\nAnswer: -1208049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 67\/((-11256)\/(-1296))*7\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(4\/(-1))*((-2)\/6)\/(281\/21918)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 17 = 7. Suppose -3*a - 3*z + 1029 = 0, 3*a + a - f*z = 1384. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*n**4 - 50*n**3 + 24*n**2 + 8*n.\nAnswer: 2*n*(n - 2)*(n - 1)*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:13 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -188, -586, -870, -722, 176, 2142?\n\"Answer: 53*v**3 - 261*v**2 + 14*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -239*j**2 + 7*j - 20. Let a(l) = 476*l**2 - 13*l + 36. What is -6*a(w) - 11*u(w)?\nAnswer: -227*w**2 + w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48609 is divided by 331.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-319284)\/(-78554) - ((-2)\/(-31) - 0) - -40.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*o - 0*v + 24, 3*o + 4*v - 19 = 0. Calculate the greatest common factor of o and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*y**2 - 4*y**2 - 7*y**2 to d*y + w*y**2 + i and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -20127*f**2 - 80512*f + 23. Determine y(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 714 or 428\/7?\nAnswer: 428\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**3 - 23*y**2\/2 - 19*y. Let p be n(5). Let q be (-102)\/357 - ((-7142)\/p - 0). Round q to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - (4 - -343 - 4). Let y = -236 - m. Calculate the least common multiple of y and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 4. Let w(n) = -n**2 + 1. Let k(x) = 4*w(x) + z(x). Let v(g) = 6*g. What is v(k(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -6 (b) 0.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2\/(-9) - (-5 + 55433\/(-9) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -22 (b) 5 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.079996 - -0.08. What is d rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3372 - 3371.5. Let p be 3\/(-24)*(-4)\/(-6). Which is the nearest to 0.1? (a) p (b) -0.06 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 726 + 752 - 369*k - 1478.\nAnswer: -369*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57539 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {t: 6, u: 2, n: 7, p: 1, a: 2}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4881 is divided by 970.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 16 + 14. Let m be (p\/(-27)*-12 - 3)*-12. Solve 4*r + m = 4*b, -3 = 2*b - 3*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 3*n - 4. Let m be w(-6). Suppose 5*t - 31 - 109 = 0. Let l = t - m. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d**3 - 16*d**2 + 101*d - 33*d - 34*d - 32*d in the form i*d + h + r*d**3 + m*d**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4, 2*b - 15*z - 2214 = -16*z. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 872270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/72 and 169\/60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*j - 8, -2*z - 5*j = -0*z + 10. Suppose 0 = 32*n - 15*n - 119. Do z and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204\/136*((-1)\/(-96))\/(-1))\/(445\/(-445))?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 1. Let q = 73 - 33. Suppose -q*h + 34*h = -36. Let f(l) = 10. Let o(b) = h*z(b) + f(b). Let c(x) = x. Calculate o(c(k)).\nAnswer: 6*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 683396083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000996 rounded to five dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5348574 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -j + 10, -j + 2*p - 58 = -63. What is the third smallest value in -0.5, j, 0.06, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8 + 6\/4)\/(1\/(-2)))\/(92 + -96)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*1 + sqrt(117))\/(sqrt(144)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137 and 109189?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 41. Suppose 15 = j*g - 3. Suppose -4*u + 186 = -f, -u - 2*f - g*f = -36. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((276\/(-161))\/(236\/(-295)))\/((-6)\/(-2)*-1).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 2}. Give prob of sequence vvz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/243)\/(1\/9)*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r. Let n(t) = 27*t - 12. Give n(i(m)).\nAnswer: -270*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -v - v - 14, s + 5*v + 23 = 0. Suppose -o - 69 = -s*o. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 16648*i**3 + 69372157*i**2 + 692323818*i + 1107292176.\nAnswer: (i + 2)*(i + 8)*(i + 8319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*d**3*h*l + d**3*h + d**3*l - 2*d**3 - 2*d**2*h + 4*d**2*l - 2*d**2 - 62*d*h*l + 2*d*h wrt d?\nAnswer: -132*h*l + 6*h + 6*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 + 171*u - 625*u**2 + 161*u - 334*u to the form k*u**4 + d*u + o + g*u**3 + r*u**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*690\/920?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 11:09 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-702)\/(-208)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n - 2. Let w(f) = f + 1. Give -2*j(k) - 22*w(k).\nAnswer: -4*k - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*j + 74*j + 88 = -101 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, d: 1, l: 4, f: 2, t: 3}. Give prob of sequence sd.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u - 1. Suppose -4*l + 2 = -2*l. Let c(z) = 0 - 9*z + z + l + 0*z. Give 5*c(y) + 6*j(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (8 - (3 + 9)) + -10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -2.1 (c) 190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + 8 + -9)\/1. Solve 2 = -a*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 6 = 0, -2*j = -2*g + 41901 - 41917 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3934)\/(3 - 10) - (0 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*n + 8 + 80, -3*d - 5*n = -127. List the prime factors of d + (-4 + 3)\/1.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3753?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*y + 100, -100 = 5689*o - 5684*o + 250*y for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + 2 - (-33 + 25)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -338424, -338423, -338422, -338421, -338420?\n\"Answer: o - 338425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 8\/10900781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/3)\/a**(1\/2)*(a**(-2\/5))**44*(a\/a**(-2\/5)*a**(2\/9)*a)\/((a\/(a**7\/a))\/(a\/(a*(a\/(((a*a**(-2\/11))\/a)\/a))\/a))) assuming a is positive.\nAnswer: a**(-12203\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20, 111, 272, 503?\n\"Answer: 35*o**2 - 14*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i**4 + 19 - 19)*(2*i - 2*i + 2*i) + 113*i**5 - 34*i**5 - 13*i**5.\nAnswer: 38*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*p**3*u - 2*p**3 - 2*p**2*u - 2*p*u - 2*p - 6*u + 77 wrt p.\nAnswer: -618*p*u - 12*p - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Let v = -2 - -5. Suppose p - 11 = -3*c - 1, r = -v*c + p + 8. Solve 0*x + 6 = c*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462403 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983616?\nAnswer: 2, 3, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30044 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, f: 3, g: 2, w: 4, n: 1}. Give prob of sequence gn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -25904014?\nAnswer: 25904019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.52 (c) 850 (d) -0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(2*(-4)\/(-300)). Let t = q + -73. Let k(b) = 8*b - 2. What is k(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g + 11. What is the units digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-5 - (24 + -10))) + -6 + -50 + -2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1005687 and 1117430?\nAnswer: 10056870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 9*u**3\/7 + 24*u**2\/7 - 12*u\/7 + 3. Factor n(t).\nAnswer: 3*(t + 2)*(9*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d + 3. Let o be s(0). Let u = 1 + o. Suppose -4*x + u*a = a, 0 = x + 2*a + 11. Sort -4, -2, x in ascending order.\nAnswer: -4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89959001195083 + 2.\nAnswer: 89959001195085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, -37, 5, 0 in decreasing order.\nAnswer: 5, 0, -37, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8448 - -67667\/8. What is the common denominator of u and -7\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340279.\nAnswer: 179, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*m**3*v**3 + 3456*m**3 - 7*m*v**3 wrt v.\nAnswer: -102*m**3*v**2 - 21*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/5 and 25\/1303682.\nAnswer: 6518410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 19*f**2 + f - 10. Suppose 2*k = -0*i + i + 17, 25 = -5*i. What is the remainder when 52\/3*9\/k is divided by c(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/11 - 5\/275. Let y = -2 + 2.4. Put y, -3\/4, c in decreasing order.\nAnswer: y, c, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1698)\/(-33) + 250\/55 + -4. Solve -203 - 57 = b*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2*sqrt(112) + 0 - (-1 + sqrt(112) + -4) - (3 + ((sqrt(112) - (3 + sqrt(112) + 1*sqrt(112))) + sqrt(112))*-4))**2 + 3.\nAnswer: 160*sqrt(7) + 551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**2*r**4 + 3*g**2*r + 14*g*r**4 + 111632*g*r**2 - 232*r**4 wrt r?\nAnswer: -72*g**2*r + 336*g*r - 5568*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 88\/(-32))*(4 + (-8 - -2)). Determine s so that b*s + 3\/8*s**2 - 15\/8 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1012 and -0.6.\nAnswer: 1011.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 5 = -5*i + 11*p, 0 = 4*i + 5*p - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*b**2 - 99*b**2 + 221694*b**3 - 221692*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-357)\/((-2)\/(-8)*-3). Let b be 34 + (14 + -8 - 12). What is the greatest common factor of b and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 8) in base 14?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, -2, -0.05.\nAnswer: -3, -2, -0.05, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**6 - 2924*x**5 + 25*x**2 - 27*x + 2.\nAnswer: -120*x**3 - 175440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003769650635 rounded to 7 dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 10000.44423 to the nearest 100.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513266924 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5122685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358608 to the power of 1\/2, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441544 and 582?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, -4, 1, 1765, -14 in ascending order.\nAnswer: -14, -4, 1, 5, 13, 1765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-21)*(7 - 4). Suppose -3*t + 10*t = -8*t. Suppose g*y - 5\/7*y**3 + 1\/7*y**4 + t + 3\/7*y**5 - 1\/7*y**2 = 0. Calculate y.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(475) + 1 + 3 + -5 + -1*2*sqrt(475) + 3 + sqrt(475) + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*w - 3 = 0, 2*d - 3*w - 3 = 3*d. Does 9 divide 27\/1*d\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/128)\/(((-11700)\/40)\/(-39))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.02 - 587.181876.\nAnswer: -578.161876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 0 + (-2264 - -2244).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*(-234)\/(-52)*(-32)\/(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*d - 13536 = 524*d + 81999 for d.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 + 238. Let q be 31 - 5\/(-2)*(-20)\/25. Calculate the greatest common divisor of j and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**2*y**2 - 751667*t**2*y + 514*t*y**2 + t*y - 124*y**2 wrt y?\nAnswer: 2*t**2 + 1028*t - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74212 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*p - 10707 = -8006 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9336?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 - 4*g**2 - 10*g + 27. Let o be v(-7). Let q = 2341 - o. What is the greatest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 460\/7 - 66. Let o be -1*(1 + -3 - -1). Which is the nearest to -2\/5? (a) -5 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 2.5\nAnswer: -62.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8959 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 9*j - 185. Calculate the greatest common divisor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 * 83\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4986671 to the nearest integer?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 282. Let b(z) = -3*z. Let p(g) = -5*b(g) + k(g). Calculate the remainder when p(32) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/20*(-328)\/369*(-15)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 3*k**2 + 15*k + 12. Is 34 a factor of p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wemj when four letters picked without replacement from mwenjne?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3696)\/((-52)\/8 + 3 - -2). Let h = y - 1592. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2990734 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 4:12 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecne when four letters picked without replacement from ndcweuedn.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57396586*b**3*p**3 - 7*b**3*p - b**3 - 200 wrt p?\nAnswer: 344379516*b**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q - 2*j = -56, 4*j = 3*q - 31. Let u = 780 + -773. What is the remainder when q is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222427 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12012 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlxttxxlxx. What is prob of picking 2 t and 1 x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.66297134 rounded to 2 dps?\nAnswer: 145.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 129024.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/6*(-10 + 11 - -5). Let u(m) = -13*m**2 - 26*m - 26. Let r(f) = -f - 1. Calculate x*r(j) - u(j).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)\/k)**(1\/31)*k*k\/(k**(-1)\/k)*k**7)**(-5\/12) assuming k is positive.\nAnswer: k**(-1135\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**2 + 1800*b + 1797 = 0.\nAnswer: -599, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*h - 63*h = 4820 + 380 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**3 + 2*z**2 + 3*z - 4. Is 19 a factor of y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 240 and -4.43?\nAnswer: -1063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-26)*c*c*c)\/c)\/(c*c**(-2\/19))*(c\/((c*c*c*c**(-1\/13))\/c*c))\/(c\/(c*c**13\/c)) assuming c is positive.\nAnswer: c**(-3660\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*o = 89*o + 1334. List the prime factors of o.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 5*q - 18, q - 8 = 3*s. Let k = 4 - s. Solve y + 4 = k*x - 2*x, 20 = -5*y + x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = -3*x + 1, 2*u - 26 = 4*x. Which is greater: 1.3 or x?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385 - 757 + 2*s + 394.\nAnswer: 2*s + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 3230*q + 13945360 = 0 for q.\nAnswer: -2024, 1378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204173791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.222 in 0.5, -0.5, 1\/4, 0.1, -37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h - 3*h)*((0 + 1 - 2)*(1 - 3 + 4) + 0 + 1 + 0)*((77 + 40 - 67)*(0 - 4 + 2) + 3 - 1 - 5).\nAnswer: -412*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(252))*6.\nAnswer: -180*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 + 81*p + 71. What is h(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36639706 and 22.\nAnswer: 403036766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 310\/(-31)*(-4)\/40.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 365021206 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 4*a - 4*a. Let x(d) = 2*d**2 - 4. Let p(h) = 5*h**2 - 7. Let m(j) = -4*p(j) + 7*x(j). Determine f(m(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54772 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 4*n + 4*n + (2 - 2 - 1 + (-3 + 2 - 2)*(0 - 5 + 4))*(0*n**2 + n**2 - 2*n**2).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -22*h - 46. Suppose 6*y + 20 = 10*y. Suppose -h*a = -8, -3*b + 34 = -b - y*a. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 108*j**2 - 2*j + 0*j + 5*j + 119*j**2 to the form r*j + n + a*j**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 16) + -53 + 22 + -17\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-178)\/(-72) - 8\/(-144)*-4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)\/((c*(c*c*c*c**(2\/5))\/c)\/c))\/(c**(-1))**(-34) assuming c is positive.\nAnswer: c**(-1648\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 560 - 232. Calculate the remainder when f is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38123388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(720) + sqrt(5) + sqrt(5) + 4 + sqrt(25)\/sqrt(5) + -2.\nAnswer: 2 + 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*12\/54)\/((-2)\/(-4)*68\/(-561))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 + 5*h + 7. What is the tens digit of f(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 - 653 = 50*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -80866.\nAnswer: -25\/40433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48340\/(-70))\/((-8)\/14) + 3\/2. Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*d = -8, -d + 14 = 5*o - 3*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.117 - 3.117. Put -1\/11, -1, 0.2, i in descending order.\nAnswer: 0.2, -1\/11, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/4 + 7*n**3\/3 - 9*n**2\/2 - 5*n + 4. Let g be u(-8). What is the units digit of 24\/5*10\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*n - 3*n = 18, 10 = 5*n. Let z be (-3)\/4 + j\/(-16). Let l = 2 - z. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 4*v - 1. Let p(g) = g**2 - g - 1. What is d(s) + 2*p(s)?\nAnswer: -s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121.1 + -121. Let y = -4\/31 - -106\/341. Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225659289*j**3 + 450*j**2 + 52303.\nAnswer: 1353955734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1274, -2435, -3504, -4481?\n\"Answer: 46*n**2 - 1299*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/14 in -0.3, 0, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.86. Let l = h - 1.36. Let w = l - -0.5. Is w <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -15*z**2. Let a(p) = -p + 19. Let t(g) = 3*g - 30. Let k(s) = -8*a(s) - 5*t(s). Calculate o(k(b)).\nAnswer: -735*b**2 - 420*b - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156504.\nAnswer: 2, 3, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 292 + -300. Put 4, 1, a in descending order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -2)*-2 + (sqrt(275) + -3)*5)**2 + 3 + ((sqrt(66) + -5*(sqrt(66) - sqrt(66)*-2))\/((sqrt(24) + sqrt(6))*-5 + sqrt(6)))**2.\nAnswer: -330*sqrt(11) + 2610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 16 - 6. Suppose -m + 12 = -w. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*f**2 - 244*f - 130960 wrt f?\nAnswer: 68*f - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263\/4 - -65. Which is the closest to 0.1? (a) s (b) 1\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445*g - 1442*g = -p + 3, 0 = -26*g + 5*p + 67 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 9 - 6, 3*m + 45 = 5*o. Suppose -2*i - o = -5*i. Suppose -5*h + 27 = -4*v, -h + i*h + 3*v = 27. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9008 - 90151\/10. What is the common denominator of w and 13\/314?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407552 and 634368.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2741553 and 1485.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 3:52 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21017 = 56*l - 623297. What is the thousands digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 39*d**2 + 29*d - 183. Give m(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b**2. Let g(a) = 3*a. Let u(p) = 8*p. Let n(y) = 14*g(y) - 5*u(y). Determine i(n(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 91475453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -7. Let a be (-3)\/1 - 54\/s. Factor a*y**3 + 3\/5*y**2 - 12\/5*y - 3\/5.\nAnswer: 3*(y - 1)*(y + 1)*(4*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*x - 5 = x, -42 = -5*j - 2*x. Let u be 2*2*j\/16. Suppose 5*f - 8*m - 3365 = -3*m, 1358 = u*f + m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l + 3*f + 121 = 0, 0 = -2*l - 4*f - 40. Let d = -16 - l. Suppose j - d = -j. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let l(u) = -u**2 + u + 1. Let n(b) = 5*b**2 - 8*b - 4. Let w(g) = 4*l(g) + n(g). Suppose 6 - 7 = q. Determine q*w(v) + 5*a(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/5*(-236)\/(-826))\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(121) + sqrt(121) + (sqrt(121)*-1 - sqrt(121)))*6)\/(sqrt(88)\/(sqrt(32)\/(sqrt(24)\/sqrt(6))))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3\/5*m - 2\/5*m**3 + 14\/5*m**2 - 1\/5*m**5 - 9\/5 - m**4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*x + n - 73, -112*x + 57 = -115*x + 6*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216900113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*q - q = 282, 0 = o - q - 72. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = -9*a + 495. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 14*d**2 + 12*d + 17. Let g be u(13). Let m be (g\/6)\/(14\/504). Solve 0 = m*x - 28*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9459 + -0.0541. Let r = -47 - -49. Which is the third biggest value? (a) r (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 31*v + 94 = 7*v, o + 32 = 3*v + 19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 10 = -2*h + w, 4*w = 2*h + 8. Let f = 4 - h. Suppose 0*a = f*a - 56. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1040?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 6. Let g be 2 + -1 + w + 1. What is the greatest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/5 (b) -86 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(3\/(-18)). Let c = 12 - 12. Solve c*q = q + h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825191727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2383, -0.3, 5\/2 in descending order.\nAnswer: 5\/2, 2, -0.3, -2383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21658 divided by -34\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 33, 123, 301, 597?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*a - 3, -j - 4*a - 7 = -2*a. Factor 2\/7*r**j + 0 + 0*r**2 - 2\/7*r.\nAnswer: 2*r*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11035 is divided by 55.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**5 - 75*f**4 + 190*f**3 + 330*f**2 - 185*f - 255 = 0.\nAnswer: -17, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 49468.617+-403479\nAnswer: -354010.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w + 105 = 0. Let k = 39 - w. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49374*t**4 + 86*t**3 - 24795213*t**2 wrt t?\nAnswer: 1184976*t + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2 - 117*x + 11 - 8 to c + l*x and give l.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*u - 4, 3*j - 8*j = -2*u - 4. Suppose 6*r - 27 = u*r. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 9. Let l be -3 + (-4)\/k*3. Suppose 2*a - 16 - 16 = l. Calculate the lowest common multiple of 8 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299000 + 596350 + 0*y**2 - 297350 + 2*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*l + 85 = -124*l. Solve 0 = -q + l - 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -39. Let o = 20 + q. Let d(z) = 31*z**2 - 4*z. Let v(j) = 6*j**2 - j. Let h(l) = o*v(l) - 6*d(l). What is the second derivative of h(y) wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-10))\/(((-48)\/(-141))\/8)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 5*z**4\/4 + z**3\/3 - z**2 - 15*z. Is l(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*r = -6, -10*k + 5*r - 19 = -8*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 15, -76, -251, -522?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(12\/21)\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 4) + (-4 - (-1 + -16)) - 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/6 + a. Suppose 3*x = 15, -x = -7*k + 4*k + 28. Let y(j) = -174 + 174 - k*j**2. Determine i(y(n)).\nAnswer: 242*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94 - -857384?\nAnswer: 857468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 30.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 742, 691, 556, 295, -134, -773?\nAnswer: -1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 8\/2 + -6. Suppose 4*l = -1 + 21. Suppose -l*c - 41 = -3*t + 8, c = -i. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjcgmck. Give prob of picking 1 k and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 259\/13 + -20. Let k = h - -17\/52. Let g = 7\/8 - 79\/72. What is the nearest to k in g, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6669*b**2\/4 - 3*b\/2 = 0. Calculate b.\nAnswer: 0, 2\/2223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -5 - 1*(-2 - 0). Suppose 0 = 4*j + 2*k - r*k - 17, -2*j = -4*k - 10. Solve -j*p + 5*p - 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-332)\/(-12))\/(13\/975) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 197. Let y(r) = -r + 393. Let s(j) = -2*w(j) + y(j). Suppose -2*x = 2*x + 8. Let u(k) = k**2 + k + 1. Give x*s(d) - u(d).\nAnswer: -d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/8)\/((7\/14)\/1)*-1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let v(f) = 15*f + 6. Let l(b) = 36*b + 13. Let y(t) = 2*l(t) - 5*v(t). What is y(d(m))?\nAnswer: 3*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35029 is divided by 2501.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -16) + 13 + -16\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -967 by 6.\nAnswer: -967\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18833273*j**5 - 10*j**3 + 2935957*j**2 - 16*j?\nAnswer: 1129996380*j**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 4*w - 1. Let l = 2 + 0. Suppose -l*q - 12 = -0. What is the tens digit of u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y**2 + 3*y. Let a(m) = -24*m**2 - 8*m. Give -3*a(b) - 8*n(b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 15 = 2*z - 0*z, 0 = -4*o - 4. Let b = z - -6. Which is smaller: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2998239862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -18, -8, 6, 24?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654081.5ms to seconds.\nAnswer: 654.0815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720102*h + 4*h**3 - 1440090*h + 719988*h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:05 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 + (55 - (-20 - -46)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61566 and 372?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -178*p**3 - 2*p**2 - 2*p - 1. Let s be k(-1). Let o = s - 91. Suppose -70 = -4*t + t + 2*i, -i = 2. What is the remainder when o is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by -317?\nAnswer: 70\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 1 - 1)*(-7 + 1 - 2) + 6*q - 2*q - 2*q + (-1 - 5 - 8)*(q + 4 - 3*q - 2) in the form f + w*q and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 + 238. Calculate the greatest common divisor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 11. Let u be ((-32)\/(-14))\/(12\/42 + 0). Give x(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -7 (c) 1 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -18. Suppose -a = -2*a + 3. Solve -5*n - 37 = a*y, -m*y = -y + n + 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-3)*8\/48)\/((-1)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/48*((-704)\/24)\/(-22)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 394.9 + -394.90007538. What is q rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.23, 2\/13, -4.3, -1\/6, 4.\nAnswer: -5, -4.3, -1\/6, 2\/13, 0.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380957 is divided by 685.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2 - 0) + 1)*-6. Let r(m) = -m**3 + 7*m**2 - 2*m - 2. Calculate the remainder when r(o) is divided by 108\/14 - 6\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1577 divided by -2?\nAnswer: 1577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9 - 28*m**2 + 149*m - 73*m - 76*m + 23 wrt m?\nAnswer: -56*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -128 + 3?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.04853cm to meters.\nAnswer: 0.4404853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466, -1538, -3318, -5806, -9002, -12906, -17518?\nAnswer: -22838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(24\/(2832\/(-295))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbzzzev. What is prob of sequence bzzz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -d, 3*k = 3*d - 54 + 63 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 103 - 6*6\/(-9). Let u = -106 + w. Is 260 + -1 - (11 - (6 + u)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16656?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 43. Let n = m + 23. Suppose -t + 26 = n. Solve t*d = -4 - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56833632 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i + 136. Suppose 101*z + 684 = 120*z. Let r = i + z. Solve -r*x = -4*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Let c(x) = x - 351. Let n(i) = 3. Let f(v) = -c(v) - 2*n(v). Calculate y(f(g)).\nAnswer: -g + 345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12469 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 + 3 = 0. Let w = 17 - 14. Does 6 divide (v\/w)\/((-13)\/702)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*r - 24*r - 90*r)*(r - r - r)*(0 + 0 + 1)*(28 + 34 - 1) in the form n*r**2 + h*r + w and give n.\nAnswer: 7808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 268.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-140) + (-8)\/35. Let r be 13\/4 + 4\/(-16). Suppose r*t = t. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 122915058, 245830119, 368745180?\n\"Answer: 122915061*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66269*x**2\/3 - 1634636*x + 148\/3.\nAnswer: (x - 74)*(66269*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 4*t - 3*t)*(4*t + 5*t - t)*(0*t - 3*t + 2*t + (0*t + 2*t + 0*t)*(-4 - 1 + 6)).\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 879\/8 - 110. What is the nearest to 0.5 in -1, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - (-13 + 19)) - 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 6*j - 10*j = 11*j + 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 r, and 1 u when four letters picked without replacement from grgrggrutrr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/630 - (-2)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in 5, 3\/22, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-1*(-4)\/(-14)). Let y be i*-1*(-1)\/(-1). Suppose 4*u - y + 15 = 0. What is the remainder when 34 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -778 = -2*v + 2*s, 0 = -21*s + 25*s + 4. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 38. Solve 0 = -g*j - 6 + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -697 and 0.0807356.\nAnswer: -56.2727132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)*f**(1\/12))\/((f\/(f**(-2\/69)*f*f)*f)\/f**(-16)) assuming f is positive.\nAnswer: f**(-2479\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, -202332\/49 in decreasing order.\nAnswer: 5, -0.3, -202332\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y - 27*y = 16*y + 27*y. Which is smaller: y or 5\/528?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 587\/13. Let v be 164\/3*(-21)\/35. Let t = -33 - v. Which is the nearest to t? (a) 0.5 (b) n (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66) + -4*(sqrt(66) + sqrt(66)*-2) + sqrt(66) - sqrt(66))\/((sqrt(216)\/sqrt(4))\/sqrt(9) + sqrt(6)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88909063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4861 - 4861. What is the nearest to 0.9 in -5, q, 2, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5054142 is divided by 746.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -10*l + 1. Let r be 30\/40*(1 + 3). Let v be 1 + -3 + 1 + 3. Suppose 5*j = r*j + v. Determine b(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -17*f + 51. Determine c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7 - 5*s - 3*s - s**2 + 2*s**2. What is the remainder when p(9) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -37, -1 in increasing order.\nAnswer: -37, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -656*g - 178. Let i(s) = -219*s - 64. What is 17*i(z) - 6*k(z)?\nAnswer: 213*z - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l + 2. Let s be h(2). Suppose s = 2*c - 66. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338493*-117.8.\nAnswer: 39874475.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*((-111)\/3)\/1. Let m = l + 40. Solve i + p + 0 = -1, -m*i + 3*p = -15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuq when four letters picked without replacement from quququqqqu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1277 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1415*i - 8 = 4*n - 1417*i, -3*i = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 16 = -4*h, 316*h + 2 = 321*h + q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -51*h**2 - 37212*h - 23063892. Let v(c) = -21*c**2 - 14885*c - 9225555. Let x(q) = 5*o(q) - 12*v(q). Suppose x(z) = 0. What is z?\nAnswer: -1240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24\/49, -0.04, 0, 0.04, -9\/7?\nAnswer: 24\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) -2\/3 (c) -9 (d) -1 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0406+-0.3\nAnswer: -0.3406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/3)*n*n\/(n**6\/n))\/(n*(n\/n**(-1))\/n*n*n)**15)\/(((n*n**(-1\/2))\/n)**(1\/17))**(-14) assuming n is positive.\nAnswer: n**(-3166\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgjw when four letters picked without replacement from jjjwgjjjj.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2884392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576 divided by -72.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.9558 + 0.0442. Which is the closest to 0.2? (a) 1\/4 (b) f (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + -4477?\nAnswer: -4454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 4*f - 2*f + 25 - 24. What is m(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*m**2 + 310*m + 1 + 3*m**3 - 5*m**3 - 3 + 3*m**3.\nAnswer: m**3 - 602*m**2 + 310*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*v + 1756 + 10192 = 0 for v.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*((-5)\/15)\/1. What is the units digit of 16 + -1 + t + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.37776 rounded to 1 decimal place?\nAnswer: 259.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 934.19 - 934. Which is greater: c or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 534*c*g**3*k + c*g**3 + 2*c*g**2 + c*g*k - g**3 + 1561*g*k wrt g.\nAnswer: 3204*c*k + 6*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1395\/4860 - (-4)\/(-16))\/((-5)\/(-6)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 18}. What is prob of picking 2 d?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 32. Let a be y(10). Suppose -2 = -m, 0 = 3*n + a*n + m - 5387. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-8)\/30*1*42. Let b = -143\/15 - n. Which is bigger: b or -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5840 = 4*s, -6612 = -4*s - 5*w - 780. Suppose -3*d = 2*x - 5*d - 582, -s = -5*x + 3*d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 272 + 7*d - 272 as x*d + m and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esesssssssesss. Give prob of picking 1 e and 1 s.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/8 of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.8 - 13.3. What is the closest to 0 in r, -0.5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*z**3 - 86*z**3 + 340*z**3 - 89*z**3 - 80*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8619512 is divided by 498.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4, d + 0*d + 6 = -3*z. Sort -4, d, 5 in decreasing order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 64249286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22*b. Let y(u) = -117*u**2 + 123*u**2 + 2*u - 2*u - 3*u. Calculate y(g(q)).\nAnswer: 2904*q**2 - 66*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -13. What is the nearest to -0.2 in -0.1, d, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -330, -27202, -100140, -242178, -476350, -825690, -1313232?\n\"Answer: -3839*p**3 + p**2 - 2*p + 3510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -v + 12, 76*n = 71*n + 10. Put v, 1, -42, 8 in decreasing order.\nAnswer: 8, v, 1, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 5*u + 1. Let a be t(4). Let v = a + 2. What are the prime factors of ((-12)\/v)\/3 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4 = -2*o, 2*u + 2*o = 5*o - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -43*n**6\/30 - 41*n**2 + 82*n. What is the derivative of h(i) wrt i?\nAnswer: -172*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13033422254 + 2.\nAnswer: 13033422256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 398 + -3118. Let y = -2094 - -3514. Let q = y + u. What is q rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 165202111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.9278528 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 412 = -4*u, -4*g + 0*u + 3*u = -1572. What is the highest common factor of g and 2574?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12598, 18671, 24742, 30811, 36878?\nAnswer: 42943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let b(i) = -5*i. Let f(m) = b(m) + 3*p(m). Let t(a) = -5*a**2. Calculate t(f(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 36*y. Let b(o) = -4*o + 7. Let d be b(-5). Let j = 29 - d. Is 36 a factor of p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 5*i + 3. Let o(c) = c**2 + 2*c + 1. Let g be 1\/(-1 - 2\/(-1)). Let q = -2 - g. What is q*r(z) + 8*o(z)?\nAnswer: 2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 - -6) - (-8 + 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1882*c**4 + 20*c**3 + 53202 wrt c?\nAnswer: -7528*c**3 + 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109519*m - 104 + 537 - 109513*m + 222 + 492 to i + a*m and give i.\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(1\/4))\/m*m)\/m*m*m*m**3)**(-5\/3))**(-3) assuming m is positive.\nAnswer: m**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -4588049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 40. Let c be t(-19). Suppose -c*f = -8*f + 660. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3) + (-425)\/1785.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, -1, -22 in increasing order.\nAnswer: -63, -22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2695116, 5390233, 8085350?\n\"Answer: 2695117*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 186 + r**2 + 74 + 80 + r.\nAnswer: r**2 + r + 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (-146 + 133 - (-15 + (2 + -1 - 5)))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.4? (a) -0.065 (b) -0.07908 (c) 4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (18 - (-10 - -13)) + -2 + -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 a when four letters picked without replacement from jajajjjejajjeeej?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1316133 - -1?\nAnswer: 1316134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 2*g**2 + g - 3. What is d(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0343118 to four dps.\nAnswer: 0.0343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k. Let o(y) = 13. Let l(h) = 175*h - 585. Let s(t) = -4*l(t) - 180*o(t). Calculate g(s(n)).\nAnswer: -1400*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1969, 2380, 3513, 5728, 9385, 14844?\nAnswer: 22465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x - 2. Suppose -6 = -q + 7*q. Let a be k(q). Solve 4 = a*w - 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 + 1697208*a - 50916265\/6.\nAnswer: (a - 5)*(a + 10183253)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Let g = 5.5 + -6. Let u = g - -0.9. Which is the smallest value? (a) u (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 + 3*i**5 - 3*i**5 + (i + i**4 - i)*(-3*i + 0*i + 4*i).\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762 = -f - 759 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 496 - 47. Let i be s\/6 - (-3)\/(-18). Let z be (-3)\/((-81)\/i) - (-6 + 3). What is the nearest to -3 in -2, z, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8 + 28*l + (-l + 4*l - l)*(-3 - 2 + 3) - l + 3*l - l + 4*l - 3*l - 4*l + (4 - 4 - 1)*(0*l - 2*l + l) in the form m + i*l and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792 a factor of 1147473296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19547896 divided by -3292\nAnswer: 5938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5946.6*0.2\nAnswer: -1189.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by -659.\nAnswer: 114\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**9)**46 assuming f is positive.\nAnswer: f**(-368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161343*m*s**3 + 190*m*s**2 + 2799*m*s + 4*s**3 wrt s?\nAnswer: -968058*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)\/(sqrt(108)*1))\/((sqrt(243) + (sqrt(243) - sqrt(243)*-2))*1) + -4.\nAnswer: -4 + sqrt(17)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1111625 and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*g**3 + 57*g**3 - 6*g**2 + 5*g**2 - 25.\nAnswer: -g**3 - g**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -1. Let k = -28\/3 - -146\/15. Let d be ((-2)\/(-6))\/((-3)\/18). Which is the closest to d? (a) k (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 621 - -3?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -78, -147, -256, -399, -570, -763, -972?\n\"Answer: x**3 - 26*x**2 + 2*x - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 9*d**2 - 5. Let k(o) = -2*o**3 - 30*o**2 + 17. Let g(b) = -b**3 - 16*b**2 + 9. Let f(n) = -11*g(n) + 6*k(n). Calculate 5*f(x) + 3*r(x).\nAnswer: -2*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190649.\nAnswer: 3, 396883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Let l = 0.4 + 2.6. Which is the second smallest value? (a) l (b) s (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 10. Let r be c(-3). Solve 4*q + 3 = -r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.127*-0.1.\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - ((-26)\/4 - -3). Let n = 2\/1131 + -764\/5655. What is the fourth smallest value in r, n, -4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -43. Let o = 57.6 + t. Which is the third smallest value? (a) -2\/13 (b) 0.04 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b - 21 = -124*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320740179?\nAnswer: 3, 569, 187897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p**2 - 12*p + 7. Let d be i(5). Let k = d + 771\/5. Find x, given that k - 3\/5*x - 3\/5*x**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812361?\nAnswer: 3, 11, 103, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12690762.031036862756 + 67.778988537244. Let v = t + -12690828. Let s = v + -1.81. Round s to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 719057508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 5*w**2 + 3*w. What are the prime factors of j(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175322 is divided by 1524?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) -0.5 (b) -0.1 (c) 0.12 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - 64. Let g = 17 + -14. Suppose -78 = -3*q - g*q. What is the remainder when q is divided by v(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005645 to 7 dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 63*u**2 - 58*u**2 + 4*u**3 + 14*u - 58*u**2 - 2*u**3 + 16*u**4 + 177*u**2 to y*u**4 + n*u**2 + p*u + q + t*u**3 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 6. Let b(k) = -k. Let z(g) = a(g) + 2*b(g). Let x be (-12 - -13)\/((-18)\/(-27)*1\/(-2)). Let p be z(x). Solve 5 = -p*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436 divided by 34?\nAnswer: -218\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1958, 1985, 2012, 2039, 2066, 2093?\nAnswer: 2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (308\/(-616))\/((-4)\/(-664)). Suppose -137 = -5*u - 557. Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Let k = 51 - 24. Suppose 0 = d*y - k - 17. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7801 times 2\nAnswer: -15602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -23, 3, -4, -597 in descending order.\nAnswer: 3, -2, -4, -23, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3482 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 751.9204um in nanometers?\nAnswer: 751920.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2 - x + 1. Let m(c) = 6*c**3 - 3*c**2 - 6*c - 2. Give 2*i(a) + m(a).\nAnswer: 4*a**3 - a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 54021 (base 6) to base 14\nAnswer: 2977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4\/4 + 7*t**3\/3 - t**2 - 10*t - 578. Determine c(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0863 and -1.36?\nAnswer: 0.117368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 17 = -d, 0*d + 5*d = -2*v + 17. Suppose -d*i + 4 + 1 = 0. Solve -3*h - 3 = q, 5*h + i = 3*h - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 30*a + 1. Let f be -2 + 0 + (-3 - -9). Is y(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -212905862 and -3.909.\nAnswer: -212905865.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 5, o: 5, c: 3}. Give prob of sequence ffo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and -21794.\nAnswer: -21804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-56) + (-3)\/(-18)*3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)*-2)\/sqrt(7))\/(1*(sqrt(5) + 1*sqrt(5))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1288 - o**2 + 3*o - o**2 - 1292 in the form m*o**2 + r + g*o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/60*(-90)\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -43*p - 20. Let f be c(-1). Solve -f = 2*d - 31 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2339699888 to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -18, 5 in increasing order.\nAnswer: -18, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-25)\/(-50)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 68 = -3*d, -2*a = 4*d - 5*d + 25. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*f + 3*f - 3*f - f + 0*f + 2*f + (2 + 1 - 4)*(-2*f + 3 - 3))*(40 - 40 + 2*f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*s**5 - 2*s**3 + 2*s**2 + 14.\nAnswer: 3300*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:46 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 951*k - 14 = 953*k, -k - 11 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s + 63. Let z be g(9). Suppose -5*i - 7 - 1 = -n, 4*n - z = -3*i. Solve n = j + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14194*x + 312 = -14187*x + 88 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31\/4? (a) 0.9 (b) -1\/4 (c) 29\/2 (d) -1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 137?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111224 (base 8) to base 14.\nAnswer: -d964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {p: 2, o: 2, c: 9, m: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -15 + ((-6314)\/49)\/(-22)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 263 * 0.5.\nAnswer: 131.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*-2 - sqrt(114))*6)\/(sqrt(12)\/sqrt(2)*-3))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 62265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15130790.\nAnswer: 2, 5, 31, 48809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2035890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -104*a - 235. Determine b(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -3*u**3\/2 - 11*u**2\/2 - 2431*u. Let x(t) = 5*t + 5. Determine -6*o(z) - 11*x(z).\nAnswer: -z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(3\/2))**(3\/13))**43 assuming a is positive.\nAnswer: a**(-129\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5\/8 - 171*z**4\/4 - 4827*z**3\/4 - 12555*z**2 - 354375*z\/8 - 131625\/4 = 0. What is z?\nAnswer: -78, -15, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.01 (b) 5 (c) 1\/7 (d) -0.08 (e) 78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -3 - 632\/(-8). Calculate the greatest common factor of 41 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2496)\/(-252) - -10. Factor -r*d - 2\/21*d**2 + 0.\nAnswer: -2*d*(d + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3986 or -3953?\nAnswer: -3986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8173 (base 9) to base 4.\nAnswer: -1131123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/4 + 3*u - 632. Let o(w) = -786*w. Calculate y(o(h)).\nAnswer: -1853388*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/122024 and 77\/50?\nAnswer: 3050600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26960244 to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let p(h) = h**2 - h - 1. Let x(y) = 4*y**2 - 16*y - 5. Let d = -501540 - -501545. What is d*p(l) + j*x(l)?\nAnswer: l**2 + 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -1249*f**4\/4 - 3*f**2\/2 - 2*f - 3. Let w be k(2). Round w to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 7*d. Let u be z(-5). Let k(i) = -i**2 + 11*i - 8. Let s be k(u). Find the second derivative of f - s*f**3 + f**2 - f**2 - f**3 wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*-2*2)\/(sqrt(1008)\/sqrt(9)) - 6*sqrt(77)\/((1*sqrt(7) - sqrt(7))*-6 + sqrt(7)))**2.\nAnswer: 3971\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 39900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/41 in 3, 2, 4, 3\/25?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22208729663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3246 and -29\/18.\nAnswer: 9738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 188 in 3\/5, -1\/3, -2\/43?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 3692683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 837 = 53*x. Solve -b + 3 = -w + 4, 0 = 2*b + 4*w - x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85 and -0.4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 9*j - 25. Which is the smallest value? (a) -5 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.44 + -34.9. Let h = -0.5 + n. Let t = 5.9 + h. Is 9 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/(-8))\/(3*4\/(-48)). Let l = -2538 + 3747. Calculate the highest common factor of w and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 5:55 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*g - 5, -2*g - g = -5*w + 7. Suppose d + 5*b = -2 - w, -5*d = b + 68. Let o = -8 - d. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-76))\/(1\/(-14))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o - 3*o + 1936156*o**2 - 3*o - 1 - 1936172*o**2 - 2*o**3 + 5*o + 4*o**4 in the form s*o**4 + v*o**2 + d*o**3 + c*o + n and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-780))\/(29\/(-145)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (100\/(-14) - -1) + 43\/301. Let w be (v\/(-4) - 1)*-6. Put 17, 3, w in decreasing order.\nAnswer: 17, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**5\/20 + m**4\/2 - 2*m**3 + 3*m**2 - 12*m. Factor b(z).\nAnswer: -3*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(3*(-2)\/4). Let l = 320 - 184. Suppose 0 = q*h - l - 20. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -1.1858?\nAnswer: 1.2858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2377889\/78 - 30485. Let p = 11\/26 - t. Let l = -49 + 34. What is the fourth smallest value in 0.2, -2\/5, p, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/119? (a) -5 (b) 3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146734 and 18191894.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 b, and 1 j when three letters picked without replacement from {i: 1, e: 1, b: 2, w: 1, j: 2, m: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 1, s: 3, u: 5, e: 3}. Give prob of picking 1 u and 1 m.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 - 5 = 0. Is 12 a factor of -5 + 2 + 29 + s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1631 divided by -13.\nAnswer: -1631\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24.168359584 + 7\nAnswer: 31.168359584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5146*y - 10425. Calculate g(-2).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 + 2*l**3 + 3*l**3 + 4*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 242 - 363?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 366650220 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 647417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19831759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4536369 and 158589?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 6:16 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*m - 5*y, m + y = 2*y - 4. Solve -4*x + 3*v - 31 = 0, -3*x + 14 - m = 5*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108477 - -31477. Round c to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 270 = 369. Suppose -122 = -3*i + 2*i + 2*r, 5*i = 5*r + 630. What is the remainder when i is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*19.\nAnswer: -6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-159)\/(-15)*(-10)\/88 and (1767\/(-1862))\/(72\/(-28))?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 310.48851 + -318.8885568. Let c = o + 8.4. Round c to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 13*q**3 - 11*q**2 + 5*q - 4. Let y(j) = 7*j**3 + 41393*j - 20696*j - 20694*j - 6*j**2 - 2. Calculate 11*y(w) - 6*z(w).\nAnswer: -w**3 + 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -698, -1353, -2008, -2663, -3318, -3973?\nAnswer: -4628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Which is the second smallest value? (a) i (b) -2 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 15*o**2. Let u be i(-4). What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 9*z**2 - 7*z + 704*z**3 - 5 - 703*z**3. Let m be h(10). Solve -3*i - m = -8*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:09 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.7 less than 737698482.563?\nAnswer: 737698409.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.06, 1 in descending order.\nAnswer: 1, -0.06, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(6279\/(-28))*1\/(12\/18)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h**2 - h)*(-h + 0*h - h) + h**3 - 2*h**3 + 2*h**3 + 3*h**2 - 3*h**2 + 3*h**3 + (-44 + 3 - 15)*(3*h**3 + 231*h - 231*h).\nAnswer: -160*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*u**3 + 296 - 16*u**3 - 8*u - 301 in the form p*u**3 + b*u**2 + y*u + c and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*p**4 + p + 21 wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 97, 333, 721, 1255, 1929, 2737, 3673?\n\"Answer: -f**3 + 82*f**2 - 3*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert be5 (base 16) to base 12.\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 2, c: 2, l: 1, b: 1}. What is prob of picking 1 l, 2 c, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14044.1 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(15\/2)*y)\/(y\/((y*y\/(y\/(y\/(y\/(y\/y**(2\/53))))*y))\/y))*y**(2\/11)\/y*y*y*(y*y**(-18)\/y)\/y*y*y)**(-4\/35) assuming y is positive.\nAnswer: y**(17154\/20405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10000111100011010 (base 2) to base 6\nAnswer: -1253150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 642054*x**5 - 13*x - 24644.\nAnswer: 12841080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/150*-6)\/(78\/(-20))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 2 + 4)*(5*s + 11*s - 5*s)*(-8 - 3 - 1).\nAnswer: 1056*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 38353 and 38351 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/76 and -26\/4731.\nAnswer: 18924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963899761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43449, -43444, -43439, -43434?\n\"Answer: 5*t - 43454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 9*q - 10. Let w be r(7). Let j = 27 - -37. Let c = j + -257\/4. What is the second smallest value in w, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280241333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/2, -0.3, 34?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4 = -f + 7, -5*f - 2*y + 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 184127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 3*m. Calculate p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*l = -99*l + 676. What is the remainder when 126 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8264\/6)\/(772\/579) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 70029042 divided by 11671507\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + w - 2*w**3)*(-6*w + 12*w + 4*w) - 21*w**4 + 34*w**4 - 16*w**4 to x*w + u + j*w**4 + z*w**2 + o*w**3 and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-3 - (24 - 37))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:54 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.05, -39, -0.05, -1\/8, 3\/8, -0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-364)\/(-12) - (-2)\/(-6). What is the smallest common multiple of 10 and 42\/5 - 12\/z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 + -4204?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -514\/5 - -104. Let s = -866 - -868. Determine y so that -2\/5*y**s - w*y - 4\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-524)\/786)\/((-7)\/24)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n + 7. Let d = 6 - 6. Suppose d = -4*w + 56 + 16. Calculate the remainder when s(5) is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -6 (b) -0.2 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 9*t + 1. Let s be k(8). Let a(f) = -8*f + 15. Let b be a(s). Let z = b - -49. Let l(g) = g**2 + 9*g + 1. What is l(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + y - 6 = 0, 0 = -3*x + 3*y + 16 + 2. Suppose 4*k - x - 20 = 0. Calculate the least common multiple of 8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30c - e?\nAnswer: 2fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 + -32. Let b = 110 + -26. Suppose -4*n + b = -u. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let p(d) = 8*d - 1. Let t(u) = p(u) + 5*x(u). What is the units digit of t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -23?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 455, 597, 679, 695, 639?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373.8473ml to litres.\nAnswer: 0.3738473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68714*s**4 - 171*s**3 - 9411*s**2 + 1033*s - 2?\nAnswer: -1649136*s - 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4) + -1 + -2 + 15\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438621 divided by -3.\nAnswer: 146207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70361347 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(99)*2*4)**2 + ((sqrt(99) + (sqrt(99) - (sqrt(99)*-3 + sqrt(99))))*-6)**2 + -4)*1.\nAnswer: -411820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**2 - 18*c - 7. Let i(t) = 4*t**2 - 10*t + 1. Let s be i(3). List the prime factors of x(s).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1051214 (base 6) to base 16.\nAnswer: d0ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414 + 417 - 1247 + 3*z**2 + 416.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 263 - 9\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 921.00000441 + -921. What is n rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)\/(w*w*w**8*w))**21 assuming w is positive.\nAnswer: w**(-441\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 6*z**3 + 4*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x - 18. Calculate the remainder when 86 is divided by i(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/25 of a day?\nAnswer: 27648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -903, -3323, -7275, -12759?\nAnswer: -19775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kww when three letters picked without replacement from dkwdwkdddkkkd.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**2 + 5239*v. Let o(u) = 16*u**2 - 10479*u - 1. Determine -5*d(k) - 2*o(k).\nAnswer: -2*k**2 - 5237*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 14280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1264, 2293, 3310, 4315, 5308, 6289?\n\"Answer: -6*v**2 + 1047*v + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + l - 143 = 3*m, -4*l - 23*m = -18*m - 135 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -276 + 291. Is ((-249)\/n)\/((-26)\/390) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 5*z)*(-16*z - 5*z + 13*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 30*t - 10. Let c be 1 + (-3 - (-36)\/4). What is the remainder when v(c) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -45*r. Let s(u) = -10621*u. Let x(q) = -473*a(q) + 2*s(q). Let t(k) = 228*k + 224*k - 677*k + 223*k. Calculate t(x(p)).\nAnswer: -86*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81*p**2 - 752*p**2 - 879*p**2)*(-4*p + 3*p + 0*p + (0 - 3 + 2)*(-p + 0*p - p)) to the form l + d*p**2 + u*p**3 + i*p and give u.\nAnswer: -1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 234 - 84 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/16 and -137\/1799988.\nAnswer: 7199952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -311*t*u**2 + 337*u**2 with respect to t.\nAnswer: -311*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*b - 2089*b + 205*b as s*b + w and give s.\nAnswer: -1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**13\/t*t\/(t**(-3\/2)*t)*t*(t**(5\/12)\/t)\/t*t*t*t**(-2\/5))**(-5\/2) assuming t is positive.\nAnswer: t**(-871\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1838 or -1836?\nAnswer: -1836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 5708*y**2 + 4072658*y.\nAnswer: 2*y*(y - 1427)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -4138.\nAnswer: 620.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17877445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 461277 divided by 2?\nAnswer: 461277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 103609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12)*(k\/k**(-19))\/k*(k**(-5\/7))**(-15\/7) assuming k is positive.\nAnswer: k**(418\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74878108?\nAnswer: 2, 1987, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:18 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:35 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -458.9605 from -0.021.\nAnswer: 458.9395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(288) + -3*(sqrt(288) + -1 + sqrt(288))) + 1 + sqrt(32)\/(sqrt(640)\/sqrt(10)))**2*5.\nAnswer: -6025*sqrt(2) + 290655\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -641c3 (base 14) to base 6.\nAnswer: -5103343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-1\/17)*b**(-4\/3)\/(b\/b**(2\/11)) assuming b is positive.\nAnswer: b**(-71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 168.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**3 + 4*h**3 - 7*h**3)*(75 + 52*h - 75) as f*h + t*h**2 + g*h**4 + k*h**3 + z and give g.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60306 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.689824802098 and 1.\nAnswer: -0.689824802098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 11*a**2 - a + 11. Let c = 573 + -562. Determine p(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(11)*1)**2)*4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*a - 17*a. Let i be a\/5 - (-1)\/5. Solve -2\/3 + i*l + 2\/3*l**2 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169828627 to the power of 1\/3, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13*k + 4. Let q(z) = -15*z + 4. What is -2*f(y) + 3*q(y)?\nAnswer: -19*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 4*r + 2. Let p be h(-4). Suppose -p*m = -3*m - 6. Let k(x) = x**3 - 8*x**2 - 24*x + 161. Let c be k(4). Put m, 4, 5, c in decreasing order.\nAnswer: 5, 4, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11462.05 to the nearest 10.\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22140580 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3720 and 3042130?\nAnswer: 1131672360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Suppose 10 - 6 = h*n. Solve 4*j = -n - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27085\/6 - 4528. Suppose 8 = -i - 16. What is the common denominator of d and -1 + 0 - 256\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*36273.\nAnswer: -3627.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let t(g) be the third derivative of -g**7\/2520 - g**4\/4 - 2*g**2. Let s(j) be the second derivative of t(j). Determine a(s(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 2457?\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**5\/40 + v**4\/4 - 16*v**3\/3 + 13. Let d(g) be the third derivative of b(g). Let f be d(2). Solve f = -0*y - 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-10))\/(22\/(-11)))\/(310\/91450)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40\/32)\/((-8)\/(-38880)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 + 8. Let d be f(0). Let p be -2*(-12)\/d*1. Let l(y) = y - 2. Give l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + ((-10)\/(-40))\/((-21)\/(-2)). Let c(s) be the third derivative of 0 + 1\/56*s**4 - s**2 + 1\/210*s**5 + j*s**3 + 0*s. Let c(q) = 0. Calculate q.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**(-1\/2))\/a)\/a*a*a**(2\/15)*a)**37*(a*a**(-7\/2)\/a*a*a\/((a\/(a\/(a**(-5)*a)))\/a))**(-39) assuming a is positive.\nAnswer: a**(-586\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-16)\/i)**(7\/5))**40 assuming i is positive.\nAnswer: i**(-952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)\/((z*z\/(z*z**(-2\/5)\/z)*z)\/z*z*z)*(z\/z**0)\/z*z*z**(2\/5)\/z*z assuming z is positive.\nAnswer: z**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + 51\/12. Suppose 0 = 5*l - b*l - 5. Find the second derivative of 2 + w - 2*w**l - 2*w - 2 wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**3 - 34*t**2 + 4*t + 11. Let d(q) = -3*q**3 - 17*q**2 + 2*q + 5. Calculate 9*d(z) - 4*u(z).\nAnswer: -3*z**3 - 17*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 28543 divided by -5\nAnswer: -28543\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15310 (base 6) to base 12.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 91389674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 97 = 4*w + 59, 5*n + 53 = 4*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64367498 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.2. Let l(m) = -m**3 - 5*m**2 + 7*m + 4. Let d be l(-6). Let i be 6*((-9)\/6 - d). Which is the nearest to f? (a) -0.1 (b) -1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.9 + 13. Let q = k - -0.65. What is q rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - 1\/(-2). Let l(w) = -6*w**3 + 9*w**2 - 6*w - 9. Let g(i) = i**3 - 2*i**2 + i. Suppose -5*q = q + 30. Let u(d) = q*g(d) - l(d). What is u(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8526565753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158252*d - 158249*d = -4*i + 1, -7*d + 19 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 360 = -18*k + 303 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 600862777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18*1\/((-6)\/2). Solve -4*w + 2*w - 2*w**2 + c*w - 2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/((-5)\/30). Let q(o) = -o**2 - 3*o + 4. Let z be q(m). Suppose 5*y = 5, -z*p + 61 = p - 4*y. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.242 - 0.17. Let l = -0.08 + d. Round l to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 16}. What is prob of sequence am?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -5*x + 66 - 70, -12 = 4*x + 2*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 14 = -5*j - 9, -j + 5*u + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33379114 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 3716957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -186? (a) -5 (b) 1\/6 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/240)\/(1\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 302, 679, 1208?\nAnswer: 1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 0.04?\nAnswer: 24.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105 + 105 - 4*t)*(3*t - 1 + 1)*(-4*t**3 + 4*t**3 + 4*t**3).\nAnswer: -48*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31344250037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79456 and 7904?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3850 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - q**2 - 2*q - 1. Suppose 5 = -3*a + 20. Let r be 2\/a - (-36)\/(-15). Calculate the remainder when 11 is divided by k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 5 (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 8*t - 11*t. Let g(x) be the third derivative of 1\/120*x**6 + t*x**3 + 0*x**4 - x**2 + 0*x + 0*x**5 + 0 + 0*x**7 - 1\/336*x**8. Factor g(o).\nAnswer: -o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 7:40 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63226, 3, 25, 1 in decreasing order.\nAnswer: 63226, 25, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 874622*l. Let x(q) = 30*q. What is k(x(r))?\nAnswer: 26238660*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/9 of a hour in seconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 390.1 + -391. What is the fourth biggest value in -1\/9, -0.4, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/41 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -i - 1, -5*p + 19*i = 24*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1493, 10\/11, 0.398 in ascending order.\nAnswer: 0.1493, 0.398, 10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - 19*k**2 + 122*k + 65. Let g be i(-14). Suppose 2*z = -170 - 62. Let v = z + g. Solve -4*a + u = 5*u, v*a = -3*u + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98697, 98696, 98695, 98694, 98693?\nAnswer: 98692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 52753\nAnswer: -29\/52753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58 or 1?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -9. Let z(s) = -s**3 + 6*s**2 - 5*s + 2. Let m be z(5). Find the second derivative of 2*w + w**2 - c*w - w + w**m wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11023830 and 13473570?\nAnswer: 121262130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17287279024 + -0.8.\nAnswer: -17287279024.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7907581 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.091 in 1\/4, 0.2, 0.134, -3\/14?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140 - -140.064. Let z = s + -0.06399896. What is z rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*g + 12 = 0, -6*m - 4*g = -7*m - 16. Let u(y) = y**2 + 80. Let o be u(0). Suppose s - 4*z - o = m, 0*s - 150 = -2*s + 3*z. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 1 - a**2 + 6*a**2 - 102*a - 6*a**2 in the form n*a + t*a**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 11*j**2 - 8*j + 15. Let n be y(10). Suppose 3*q - 13 - n = 0. Calculate the remainder when 61 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2168*n + 2168*n - 391*n**2)*(-n - 3*n + 3*n) + (-4 + 4 + 2*n)*(0*n**2 + 0*n**2 + 2*n**2) + (-5*n + 0*n + 6*n)*(-2*n**2 + 5*n**2 - n**2).\nAnswer: 397*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Suppose 4*n = 975 - 1179. Let x be 391\/n + 32\/4. Which is the third biggest value? (a) 6 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -32. Let c be (-3 - -5)*(-2)\/4. Sort m, c, -5 in increasing order.\nAnswer: -5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qldd when four letters picked without replacement from qdkdkgdklqkv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 + 4*g. Suppose 198 = -23*c + 41*c. Let u(z) = -4*z - 14*z**2 - 7*z + 0*z. Give c*j(s) + 4*u(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 599944*f**2*t**2 - f**2*t - f*t + 1986*f - t + 4 wrt t.\nAnswer: 1199888*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + t**2 - 5*t**2)*(t**2 + t**2 + 2*t**2) + (6*t - 6*t + 4*t**4)*((-2 + 1 + 3)*(-2 + 7 - 3) + 2 - 5 + 1 + (0 - 2 + 1)*(0 - 2 + 0) - 3 - 2 + 6).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (210\/(-20) - -9)\/(1\/(-1486)). Let o = x + -668. Calculate the remainder when o is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 29529 = -5*z + 29503, 27*d + 84 = 4*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**3\/2 + 163*k - 2. Let j(o) = -22*o. What is j(z(b))?\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 8:47 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*56\/12 + 0. Suppose k = -3*l + 18, 5*l - i = -k + 14. What is the highest common divisor of 2 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2730300 and 1310544.\nAnswer: 32763600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -422 in -0.14, -2, 20\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*v = 842, -4*g - v + 872 = -g. Suppose g = f + 2. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**4\/7 + 684*r**3\/7 + 9092*r**2\/7 - 3898620*r\/7 - 15695152\/7 = 0.\nAnswer: -67, -4, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 15. Let v(l) = 8*l**2 - 2. Suppose 4*k - 8 = -0. Let x be v(k). Calculate the greatest common factor of i and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -842 + 842. Suppose -2*d + 20 = 4*y, 5*y = 6 + 14. Solve 0 = -f*w - d*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*m - 24 = -83*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -492, -2013, -4554, -8115, -12696?\n\"Answer: -510*n**2 + 9*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1481496356*i + 1107591121?\nAnswer: -1481496356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -603132*p**2. Let f(k) = 5*k**2. What is u(f(v))?\nAnswer: -15078300*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - h**4 - 8*h**5 + (0 + 0 - h**3)*(2*h**2 - 6*h**2 + 2*h**2).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4166.0939 from 0.1.\nAnswer: 4166.1939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/(-55)*(-9 - 1). Let o(n) = 8*n**2 - 15*n - 101. What is the units digit of o(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.075 * 8114.\nAnswer: 608.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13245 = -2*c - 3*c - 5*k, -c = -3*k + 2657. Let w = c - -4050. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 183937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1846445174 is divided by 4275?\nAnswer: 4274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 + 197. Suppose 9*q - 4*q = 10. Let g be -1*(-50 - q)\/4. What is the greatest common factor of g and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m - 17. Calculate the remainder when 46 is divided by w(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/4*(-4 + -2). Solve 24*k - d*k + 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**3\/3 + 2*s**2 + 4*s - 2. Let c(w) = -24 + 16 + 2*w + 12. Give -5*c(g) + 4*i(g).\nAnswer: -2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -u - 55, 39 + 2 = 3*s + u. Let h(v) = 2*v**2 + 10*v - 6. Let l be h(-8). Calculate the greatest common factor of s and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2632, 3, -9 in descending order.\nAnswer: 3, -9, -2632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*j + 34*j - 44*j + 101*j + 5*j)*(-3 - 3 - 3).\nAnswer: -1485*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/209 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -2\/29, -8, -1, -9?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.1732 + 0.1768. Let i = n + -58.293. Let p = i + 20. Round p to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 6:28 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 - 1 = 0. Is 15 a factor of s + (32 - (1 + -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -125*g + 2588. Determine x(22).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-37) + 6554\/2146. Let n(q) = -9*q - 4. Let r be n(-4). Suppose -5*d + r = -103. Calculate the highest common factor of f and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -47*x - 7959. Determine i(-165).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-3)\/6)\/(((-36)\/(-8))\/1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4533 divide 726856357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2\/5 (c) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -39\/23 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3097.29 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -22038.\nAnswer: 2\/11019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 26*c**2 - 413*c - 46. Determine o(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152727863 to the nearest integer?\nAnswer: 12358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14930 divided by -2986\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from rkg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:26 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 16\/(-3 + 7). Let s be -9*y*2\/(-6). Suppose v - 16 = -s*v. Solve 2*t - 10 = v*r, -r + 2*t - 10 = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + 0 + 22 + -4. Suppose 4*i + 0*i = 24. Is i smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*d**2*x**2 - 556024*a*d**2 + 39*a*d*x**2 + 5*a*x**2 - 2*d**2*x + 11*d*x**2 + 13*x wrt d?\nAnswer: -4*a*x**2 - 1112048*a - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: cc (base 16) to base 6\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.6 and -46135544.\nAnswer: -46135542.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*z + 0 + 3*z + 0 to the form b*z + d and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -295989.\nAnswer: 1\/295989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/294 and 13\/7.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/19112 and 5\/2472.\nAnswer: 5905608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -538\nAnswer: 107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujuukkjtukuuekuek. Give prob of sequence eet.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, k: 5, q: 7, h: 1}. Give prob of picking 1 e and 2 k.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 + 3. Let l(k) = 113*k**3 + 5*k**2 + k + 17. Calculate -5*g(d) + l(d).\nAnswer: 118*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 6*r - 25. Let k be u(-9). Let l be (-6 + -32)*(-1)\/k. Which is smaller: 18 or l?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 166*l**2 + 460*l - 133014?\nAnswer: 332*l + 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23499?\nAnswer: 3, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6563a (base 12) in base 4?\nAnswer: -200231032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (-189)\/28)*(0 + -2)*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1222 + -872. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.008, -0.17, 0.4, 0.3, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 + 147. Let m be ((-846)\/(-705))\/((-1)\/(g\/7)). Let u = 2.3 - 2. What is the smallest value in m, 0.2, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600 and 5400?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 9:03 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5*n + 24*a**5 - 2*a**3*n - 118*a**2*n wrt a?\nAnswer: -60*a**2*n + 1440*a**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q + 454 + 183 = -35 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*c**3 + 64*c**3 - 25*c**4 + (0*c**4 + 0*c**4 + c**4)*(1 + 1 - 1).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:43 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8968, 8975, 8996, 9037, 9104, 9203?\nAnswer: 9340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -121, 0, -4 in descending order.\nAnswer: 23, 0, -4, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.4 + 9. Suppose -24*f - 4*z - 10 = -21*f, -5*z - 5 = 0. What is the closest to f in -0.1, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + -3. Let q = 9 + d. Which is the biggest value? (a) 0 (b) 1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11800\/(-160))\/(-59))\/((-2)\/((-16)\/(-515)))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064 is divided by 84?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -868 + 554. Let r = -314 - s. What is the nearest to -0.02 in r, 3, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 15*z**2 - 6*z + 49. Let a be n(15). Is 24 a factor of a\/(1148\/(-17208)) - 3\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(96) + -2*sqrt(96)*-6 + sqrt(96))\/(sqrt(18)\/(sqrt(12)\/sqrt(2))).\nAnswer: 3 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2. Let x = 439 + 2826. Suppose 5*w - 4*v - x = 0, -v + 1848 + 128 = 3*w. Let j(i) = 2*i**2 + 657*i - w*i. Determine j(o(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 344, 604, 876, 1166, 1480, 1824, 2204?\n\"Answer: k**3 + 253*k + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 38. Solve 0 = o*t - t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 3*j - 63 = -9*d, 3*j = d + 27. Is -36 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007186 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 7210414?\nAnswer: 7210412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350833\/146 + 2403. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.867 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*n - 13*n**4 - 94*n + (110*n**4 - 214*n**4 + 112*n**4)*(1 + 0 - 2).\nAnswer: -21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 1342?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -14533?\nAnswer: 14512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 48\/9)*(46\/(-16) + 3)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 93 = -11*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/13 or -1?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 65+1.6\nAnswer: 66.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**14\/v**(-31)*((v\/v**5)\/v*v)\/(v*v**(-1\/5)*v) assuming v is positive.\nAnswer: v**(196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4362774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**2 + 5*i. Let r be y(-1). Suppose -x = -4*c - 54800005, -6*c + r*x = -c + 68500025. Round c to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*o**3 + 2\/3*o**4 + 0*o + 0 - 2*o**2 = 0. What is o?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from jjljjjleeeee.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20751204 is divided by 1945.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Let r(a) = -a + 8. Let u be r(5). Suppose y = -u + 5. Solve -5*l - t - 4 = 0, 0 = y*l - 5*l + 2*t - v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15\/7, 129, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114177, -456659, -1027455, -1826559, -2853965, -4109667, -5593659, -7305935?\nAnswer: -9246489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2623\/15 - -175. Suppose w + 6 = 3*w, 3*h + w = 3. Let m = h - 4. What is the smallest value in k, -1\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/((-7)\/63). Suppose 2*t - 4*a = 0, 4*t - n*a - 1 = -6. Let b = 3 + -2. Put t, 3, b in ascending order.\nAnswer: t, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1222 + 1713. Let y = 486 - z. What is the biggest value in y, 6\/7, -4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 53 = -5*o. Let i be (-16)\/o - (-4)\/(-1). Let y be (-8)\/(-130)*(-5)\/(-2). Which is the closest to -1\/4? (a) i (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13375 is divided by 13342.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (12 + 1 - 4) + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6412.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5476135t in grams?\nAnswer: 547613.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z + 17*z**2 - 6*z**2 - 3*z + 0*z**2 + 31 - 10*z**2. Give x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 116*n**3 - 2*n**2 + 2*n - 1. Let k be w(1). Let h = k + 164. Suppose 4*i - 557 - h = 2*o, 2*o + 1045 = 5*i. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032 divided by 2.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.1 (c) 9813 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35358\/5 at least 738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/753 and 107\/20.\nAnswer: 15060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -347628405 divided by 1\nAnswer: -347628405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12100\/9 + -266947\/198. Find the common denominator of o and (14\/(-21) - 0)*(-165)\/12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011120 (base 3) to base 2.\nAnswer: -100100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 4:05 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*m**3 - 462 + 232 + 233 + 2*m**3 - 4*m**3 + 0*m**3 + (m**3 + 3*m - 3*m)*(-2 + 2 - 2) - 4 + 4 - 2*m**3.\nAnswer: 13*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 67476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 4*l - 9. Let t be c(-8). Let d = -22 - t. Suppose -2*o = -g + 3 - d, -o = 2*g + 2. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2774?\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -25*u**2 - 173*u - 395. Give h(-10).\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c + 33. Let t be x(-6). Suppose -t*j + 23 = 17. Solve 0 = -3*k - j*o - 8 - 3, 0 = 4*o + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 + ((-27)\/(-5) - 2). Let h be (1 - 4\/2)\/((-2)\/8). Suppose 4 = 3*m - 5. Solve p + 12 = h*o - 2*p, y*o = -m*p + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1824 = 16*m + 2144 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1574136 and 5040.\nAnswer: 110189520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.73035 - -2.6421. Let g = k - -7.1. What is g rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82820746397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*l - 570*l - 125*l + 83*l - 440*l.\nAnswer: -963*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*b + 2*b = 0, 26 = -3*q - 2*b. Suppose -43*x - 130 = -30*x. Let y = q - x. Solve -u + 0*u = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230 - 405. Is 2\/(-7) - 46075\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9.6 (b) 2 (c) 4 (d) -3 (e) 48 (f) -2 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 558519?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41784200 rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 + 55. Let r = h - -29. Solve -c + 5*c = r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 2. Let z be s(5). Suppose -4*f + 243 - z = -q, -4*q - 110 = -2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**7\/3 - 35*b**4\/24 - 144*b**2. What is the second derivative of i(l) wrt l?\nAnswer: 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*c + 24, 8*c = 4*c - 4*d + 24. Solve 11*w + 33*w = c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4052, 4046, 4028, 3992, 3932, 3842, 3716, 3548?\nAnswer: 3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8378255 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 2\/4883 in decreasing order.\nAnswer: 2\/4883, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3454, -6905, -10356, -13807?\nAnswer: -17258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 4*y - 3*y)*(-2*y**2 - 2*y**2 + 2*y**2) + 0*y**2 + 0*y**2 + y**3 - 7*y**3 + 3*y**3 + 0*y**3 as c*y + g*y**3 + z*y**2 + t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12788 and -19.8.\nAnswer: -253202.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*((-1)\/2 - 23\/46). Let n be (-3)\/((r\/(-52))\/(-3)). What is the highest common divisor of n and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67143081 to the nearest integer?\nAnswer: 8194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -478?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3. Suppose -2*x + 0*x - 126 = 0. Let n = x + 253\/4. Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2))*-2 - sqrt(6)\/(sqrt(48) + sqrt(3)).\nAnswer: -11*sqrt(2)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -552 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/2 of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 16*u**2 + 3*u - 10. Let b be o(-4). Let r = b + -161. Calculate the remainder when r is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 8 + -4 - (-9 - -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401 is divided by 238?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) 2\/7 (b) -5 (c) 4 (d) 42.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.208 + -83.792. Let l = k - -85. Which is the second biggest value? (a) -2\/11 (b) l (c) -3 (d) -1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 7050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-8))\/((-7)\/112). Let g(k) be the third derivative of k**4\/24 - 2*k**2. Let z(l) = -l. Let i(j) = g(j) + 2*z(j). Determine i(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-8) - (-479316)\/(-560736)) + -2*2\/(-8)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/6 + 2*u**3\/3 - u**2 - 10*u. Factor q(m).\nAnswer: -2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, 90, -208, -6 in descending order.\nAnswer: 90, 2, 0, -4, -6, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2 - -8)\/(8\/104). Suppose 0 = -8*o + 5*o + s. Suppose 5*p = 3*i + 2*p - o, 5*i = -2*p + 93. What is the highest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 137, 269, 401, 533?\n\"Answer: 132*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-5)*(-15)\/(-21).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 - 9*c**2 - 8*c - 1. Let z be o(-1). Solve z*d - 5*h - 5 = -3*d, -d = 2*h - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.32330141\nAnswer: -0.64660282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (0 - (1 + 8 + -2)) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -7, -16, -29?\n\"Answer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 91035706?\nAnswer: 91035708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24885*j**3 + 2*j**2 - 4*j - 814 wrt j.\nAnswer: -149310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 7*r**7\/3 - 5*r**4\/12 - 21*r**2\/2 + 197*r. What is the third derivative of o(g) wrt g?\nAnswer: 5880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 20. Let r be 11\/4*(-5 - p). Let c = r - 17. Solve -25 = -5*a - c*i, 0 = 4*i - 2 - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 33 = -4*o - o, 4*u + 4*o = 28. Suppose t - 2*i = 10, u*i + 25 = 5*t - 3*i. Suppose 5*w - 15 = -t*w. Solve -12 = -w*g + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**44\/w)**(-40)*(w*w\/w**(3\/8)*w*w)\/w*w*w*w*w**11*w assuming w is positive.\nAnswer: w**(-13619\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 5249451*k**2 - 2296397274840*k + 2296392025392.\nAnswer: -3*(k - 874908)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7992151, -15984286, -23976407, -31968514, -39960607, -47952686?\nAnswer: -55944751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 0, 4\/3, -1\/3, -117?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 6:56 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w. Let y = -120 - -115. Let t(a) = 2*a. Let u(v) = y*f(v) - 6*t(v). Let p(s) = -28*s. Determine u(p(o)).\nAnswer: -84*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*a + 6*n + 543, 4*n - 724 = 4*a. Let w = 268 + a. Suppose w = 2*u - 77. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7448288 rounded to 3 decimal places?\nAnswer: 0.745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryhh when four letters picked without replacement from {y: 4, h: 3, r: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:12 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 354 + 354.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -70\/1291 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*z**2 + 32*z**2 + 32*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37125?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2428538 is divided by 9028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/2671 + -66781\/16026. Let f = 1350113277\/439373 + 6\/39943. Let n = f + -3077. Find the common denominator of p and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 66655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 1. Let x be d(1). Let j = x - 1. Solve -8 - 7 = -j*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/4)\/(75\/(1200\/(-32))).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/7 + 79536*l\/7 - 9594574\/7 = 0 for l.\nAnswer: 121, 39647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39393001, -39392988, -39392975, -39392962?\n\"Answer: 13*z - 39393014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102131 + 24?\nAnswer: 102155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/5)*(f\/(f*(f*f*f*f**(2\/7)*f*f*f*f)\/f))\/f*(f*f**3*f)**31 assuming f is positive.\nAnswer: f**(5149\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*f - 48 = 0, -2*m - 6355*f - 168 = -6404*f for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w - 11 = -89 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10568 take away -158559?\nAnswer: 169127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -973, 2776, 2 in decreasing order.\nAnswer: 2776, 2, -973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 5, c: 2}. What is prob of picking 1 a and 2 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 29. Which is the nearest to 1? (a) f (b) 0.2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = -5*v + 1619. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (45 + 0)*(-6)\/(-15). Let i = s + -12. Let d(t) = t**2 - 2. Let c be d(i). Calculate the greatest common factor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)*c*c)\/(c**(2\/5)*c))\/((c*c**(-2)*c)\/(c*c**(1\/2))) assuming c is positive.\nAnswer: c**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1982.808015 and -2200.47.\nAnswer: -4183.278015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 + g - 2. Let c(a) = 3*a**3 - 167*a**2 + 9*a - 14. Determine c(q) - 9*n(q).\nAnswer: 3*q**3 - 131*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 6 + 322*q + 4 to the form w + y*q and give y.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14))\/((-348)\/196*14)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9257457096509 minus -0.1?\nAnswer: -9257457096508.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j - 2. Let s = j + 3. Suppose s*b = -5 + 23. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - 17. Let z = u + 72. Suppose -2*b + 0*b + 32 = 0. What is the least common multiple of z and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 + 3*w**2 - 3*w + 1. Let u be q(1). Suppose 0 = -u*r + 4*t + 356 - 39, -3*r + 329 = -t. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 + -13 - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 827 - 827 + 101*c.\nAnswer: 101*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5854 = -840*a - 11147 - 14867 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3091326, -3091337, -3091358, -3091395, -3091454, -3091541, -3091662?\n\"Answer: -r**3 + r**2 - 7*r - 3091319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 + 1 - 6*d**2 - 1. Suppose -5*m + 21 = -2*m. Let c(f) = -m + 7 - f. Give r(c(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2041 (base 8) to base 14.\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 16*k - 4. Let l(r) = 7*r**2 + 2*r + 2. Let u be l(-2). Suppose -u = -5*v + 39. What is the tens digit of c(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -3*n + 4*p, 19 = -n - 3*p. Let t = -2113.8 + 2114. Which is the smallest value? (a) n (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 17305, 5\/9, -1\/17 in ascending order.\nAnswer: -1\/17, 2\/13, 5\/9, 17305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 32*q**2 - 28*q - 94. Let j be (-111)\/74*124\/(-6). Determine m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Suppose -15 = a - 18. Let x(u) be the second derivative of -a*u - 1\/6*u**3 + 0 + 0*u**2. What is j(x(k))?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 1201, -1\/3, -0.1, 1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.903 + 1.9. Let p = 22.003 + x. Let v = p - 22. Are v and 0.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 21*p + 8. Let t be q(-5). Which is the closest to 2? (a) -2 (b) t (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 5. Let a be c(-2). Let z be 4\/(-10) - (96\/(-5))\/a. Let r = 88 - z. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = -11*s - 27 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - j - 134, 5*j - 8 = -u + 42. Suppose 3*v - 2*a - u - 26 = 0, -v - a + 32 = 0. Let s = v + -19. What is the remainder when 86 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 divided by -3?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 92817432 divided by -3\nAnswer: -30939144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/11 (c) 9288\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13596568 to the nearest integer?\nAnswer: 3687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8193 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 not equal to -178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**3 + 11*x**2 - 17*x - 10. Let i(b) = -2*b**3 + 5*b**2 - 8*b - 5. Let z(v) = -3*a(v) + 7*i(v). Suppose -41*k - 204 = 10*k. What is z(k)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79233 and 693.\nAnswer: 237699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 9:11 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -873192350 to the nearest one million.\nAnswer: -873000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1100402 and 57\/30148.\nAnswer: 2200804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -54, -84, -116, -150, -186?\n\"Answer: -f**2 - 25*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174654540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-26\/3)*b))\/b**(-31))\/((b\/(b\/(b**(25\/2)*b*b)))\/b*b)**45 assuming b is positive.\nAnswer: b**(-3787\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*d - 91, 5*y - 3*d = 237 - 57. Let h = 38 - y. Suppose -3*c - 144 - 5 = -2*g, 0 = -h*g - 4*c + 384. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/6 - 4*y**3\/3 + 11*y**2\/3 - 4*y + 59. Factor q(a).\nAnswer: 2*(a - 3)*(a - 2)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.01 + 1.01. Let q = -0.14 - -0.04. Let w = q + 0. What is the closest to 0 in -2, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/220*50\/18*(-48)\/(-150).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(7) + (sqrt(189)\/sqrt(3))\/sqrt(9) - (sqrt(7) - sqrt(63)*2))**2 - ((sqrt(175)*-2)**2 + 3)).\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-26)*(m*m**(2\/9))\/m*(m**(7\/10))**10)**(2\/25) assuming m is positive.\nAnswer: m**(-338\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 32, -2\/15, -4\/671?\nAnswer: -4\/671","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963 a factor of 1610308595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -93. Let d be (p\/65)\/((-2)\/(-10)). Solve d*i - 4 - 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 q when three letters picked without replacement from chqhcghhqc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1676672 and 3104?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((10 - 92)\/2)\/(3\/(-93)) is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.2 + 32.2. Suppose 0 = -v - 3*v + 4. Which is the closest to v? (a) -1 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1141.9 + 633. Round g to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -41*w + 117. Determine i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23010 - -5413?\nAnswer: -14264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 15, -5*d = -5*w + 1 - 51 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 3\/7 (c) -2\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 10*c + 2*o - 2 - 12, c + 13 = -4*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 102*((-3)\/(-42))\/1 and 145\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**48*r*r))\/((r\/(r*(r*r**13*r)\/r*r))\/r))\/(r**(-15)*r*r*r\/(r\/r**(-9\/7))*r))**36 assuming r is positive.\nAnswer: r**(-4968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 20 = 2*j. Let x = -2 - j. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277 - 194. Suppose -2*o - 120 = -5*d, 9*d - 4*o + 90 = 14*d. Calculate the remainder when p is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -4*v**3 + 9*v**2\/2 - 9221*v. Give j(4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91395)\/540 - -171 - ((-4)\/10)\/(1\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 35.4?\nAnswer: 424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 - 12*y**2 + 7*y - 4. Let u(n) = -2*n**3 - 11*n**2 + 6*n - 3. Let l(x) = -4*u(x) + 3*w(x). Is l(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -34a80a6?\nAnswer: 34a80a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/14*(-10 + 0). Suppose -h*c = -4*q + 39 + 28, 0 = 3*q - 5*c - 49. Suppose 44 = 4*y - 160. Calculate the remainder when y is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q*q*q)**(-4\/33) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 5*y**2 - 2*y - 7. Let w be p(-5). Suppose t - w*o = 2*t - 7, -1 = -t - o. Let s(k) = -3*k - 2*k**2 - 3 + 2 + k. What is s(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2661, -3293, -4177, -5331, -6773, -8521, -10593?\nAnswer: -13007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44793, -89586, -134381, -179178, -223977, -268778, -313581?\n\"Answer: -b**2 - 44790*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - 416\/78?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*w + 152 = -0*d, 5*d - 3*w - 182 = 0. Suppose 4*f - 84 = 3*a, f + 0*f - d = 4*a. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*m + 74 + 93 - 29, -l = -24*m + 1004 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102202110 - -11210?\nAnswer: 102221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -17. Suppose 6*x - p = 3*x. Find the second derivative of -2*h**2 + 14*h + 4*h**4 - x*h + 2*h**2 wrt h.\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 7*p**2 + 13*p + 3. Let g be z(-5). Is g\/(-24) - 23\/(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*w - 1695 - 2963 = 2980 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 51 = -12. Suppose p - s = 9. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*v - 3*v + 28, j - 8 = 2*v. Suppose p + o = -o + j, 2*p - 17 = o. What is the lowest common multiple of p and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65122 - -45189. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krxk when four letters picked without replacement from xxxkxkirxiix?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -6*(-2)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 - -139. Calculate the highest common factor of s and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 + x**4 + 5*x**3 - 4*x**3 + 4*x**2 in the form d*x + t*x**2 + y*x**4 + a + g*x**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.2, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7*(-30)\/280)\/(1\/4). Sort o, -4, -5.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 + 607 = 30*m + 97 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 20*j**2 - 34*j + 80. Determine h(-18).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -101001211?\nAnswer: -101001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1707416)\/(-10) - (-31 - (-3002)\/95) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6238711 - -3?\nAnswer: -6238708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*f - 88, f - 14 = 2*m - 58. Let z = -684 + 662. Let b = m + z. Solve -5*w + 7 = -b*i, -4*w = -4*i + i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/33 and 61\/687.\nAnswer: 7557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1744 times -1122?\nAnswer: -195.6768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -70*o**2 - 1875. Let y(a) = -125. Let g(c) = b(c) - 15*y(c). Let k(t) = 78*t**2. Give g(k(z)).\nAnswer: -425880*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20610, -20604, -20594, -20580, -20562, -20540, -20514?\nAnswer: -20484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 32. Let t = u + 15. Let i(s) = 4*s**2 - 3*s**2 - 3*s**t + 2*s + 2 - 3. Determine i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106685\/24 + -4442. Let v = -15\/8 + u. Are 1 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*a - 564*a + 2275*a - 562*a - 575*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*v - 585, -v = -5 + 3. Suppose -p + 193 = u. What is the closest to p in -1\/8, 3, -0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -3*a**5\/20 + a**4\/4 + a**3\/2 + a**2\/2 - 7*a + 6. What is the remainder when 16 is divided by r(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l - 873189 + 873717 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*(15\/(-9) - -1). Let c be m\/(-20) + 396\/(-15). Let y = 37 + c. Calculate the remainder when 31 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868 is divided by 170.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -31. Suppose -5*q + 3*q = -12. Suppose -u*d - 25 = -p, q*p + 5*d = 2*p + 142. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tjuetu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**2\/2 - t - 1. Let p(c) = c + 4. Let r be p(-2). Let g = 2 - r. What is x(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101001100 (base 2) to base 12.\nAnswer: 1b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16*g**2. Let y(n) = 12*n. Determine f(y(o)).\nAnswer: 2304*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6) + -10*(-5)\/20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 12 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -46*k - 768. Let a be u(-28). What is the highest common divisor of a and 728?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 8*j**2 + j + 8. Let i be r(-8). Suppose i = -4*m + 49 + 31. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 11\/13 (c) 0.16 (d) 0.12 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**3*h + 2*f**3*j - 13*f**2*h*j - 2*f**2*j - 6*f**2 with respect to h.\nAnswer: 3*f**3 - 13*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzvzdzzzdzdzzpzzzpvz. Give prob of picking 2 d.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 175 * -10.44.\nAnswer: -1827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 103*k**2 - 3*k - 3. Is h(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(832) + (sqrt(832)*-1 + sqrt(832) - sqrt(832)) + 5 + sqrt(832) + (1*sqrt(832)*-3 - sqrt(832)))**2 + (1*sqrt(832)*5*-3)**2)*-1 + 1.\nAnswer: -194708 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213784, -7, 5 in decreasing order.\nAnswer: 213784, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 9*r**2 - 11*r - 7. Let n(d) = 2*d + 10. Let o be n(-10). Let a be m(o). Solve -4*v - v = -a*j, 0 = 2*j - 2*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(24\/(-9)))\/(3\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alj when three letters picked without replacement from {l: 1, b: 1, a: 1, j: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:45 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/3))**(-1\/26)\/(i\/i**3)**11 assuming i is positive.\nAnswer: i**(856\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.1 - -5. Let t = -1062 + 1124.7. Let z = t - 63. Sort z, 1, -1\/2, d in ascending order.\nAnswer: -1\/2, z, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/3 - 1\/((-1)\/3). Solve 0 = -b*k + 1 + 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -11113?\nAnswer: -11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1260 or -38403?\nAnswer: -1260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -391\/990 + 7\/18. Let i = -293\/6105 + n. Let p(j) = j + 2. Let d be p(-3). Is d != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 2*z**2 + 404 - 202.\nAnswer: 2*z**2 - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -23.902. Let y = -32.432 - t. Let r = y + 33. Round r to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -44 - ((-23 + 49 - 42) + 18).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5 + 27908*k**4 + 1305816*k**3 + 20643392*k**2 + 136651264*k + 326430720 = 0.\nAnswer: -6930, -23, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g + s - 1442, g = -4*s + 296. Suppose -3*n + 72 = u, -3*u + 7*u + n - g = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -325*r + 332*r - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let z be (-2 + 3 - 0) + w. Let s = 1 - z. Sort -2, -3, s in increasing order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. Suppose -81 = 132*q - 135*q - n, 4*q = 3*n + 121. Calculate the highest common factor of x and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2*l - 2 = 0, 3*a - 7 = -a + l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 8 - (-15 + 17)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) -3 (b) -2 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(162)*1 + 1.\nAnswer: 1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011000 (base 2) to base 7.\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80.353 or 5.3?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 501418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 3*y**2 - 11 - 38*y + 55*y.\nAnswer: -3*y**2 + 17*y - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 - -0.03. Let r be ((-1)\/(-14))\/((-7 - 22)\/58). What is the second smallest value in i, r, 0, 3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y**3 + 13*y + 13 + 0*y**2 - 9\/4*y**4. Differentiate f(t) wrt t.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -28*f - 2326. Determine i(-83).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 17508*m**3 - 28019658*m**2 - 7223468148*m - 510669244683.\nAnswer: -3*(m + 149)**2*(m + 2769)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuuuuuuuwuuu. Give prob of sequence wuu.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**2 - 4*z - 8. Let q(x) = 56*x**2 + 26*x + 54. Let f(a) = -38*g(a) - 6*q(a). What is f(-4)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c + 7. Let w be l(-2). Let f = 1\/2 + w. Suppose -3*j + 2*v - 6 = 0, 23 = -5*j - 0*v - v. What is the biggest value in 0.3, f, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163463280 divided by -290865820?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 71*w**3 + 779*w**2 - 18491*w.\nAnswer: w*(w - 11)*(w + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psq when three letters picked without replacement from {s: 6, q: 1, y: 1, l: 4, p: 3, i: 5}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0268 rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**7\/1155 + u**6\/165 + u**5\/55 + u**4\/33 + u**3\/33 - 12*u**2. Factor c(q).\nAnswer: 2*(q + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3945, 7903, 11861, 15819, 19777, 23735?\n\"Answer: 3958*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252397 and 514679.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -683, -684, -685, -686?\n\"Answer: -p - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 3*a + a**2 + (4*a - 3*a - 2*a)*(2*a + 2*a - 2*a) + (-2*a + 7*a - 3*a)*(1 + a - 1) - 5 - 3*a**2 + 5 as z + c*a**2 + b*a and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(24\/14)\/(10\/(-28343)). Is (2 + 40\/(-24))\/((-2)\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60638439?\nAnswer: 3, 17, 181, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11330*x**3 - 11538*x**3 + 22900*x**3.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -17*w + 557. Let y be b(-139). Calculate the greatest common factor of y and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 118813*j - 1. Let p(n) = 4*n. Give p(t(b)).\nAnswer: 475252*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/72*-4*-1*3. What is the least common multiple of (9 + -9)\/2 + m and 41?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -19*v**2. Let z(g) = 20*g - 2. Let d be z(1). Let r(f) = f**2 - 9*f + 9. Let q(u) = u - 1. Let h(a) = d*q(a) + 2*r(a). Determine j(h(y)).\nAnswer: -76*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/2425?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -0.05 (c) 24 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (342\/126 + (-25)\/35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613281165 to the power of 1\/3, to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17885892 divided by 1.\nAnswer: -17885892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.02 (b) -0.006182 (c) -5 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 850.08 + 179. Let m = -1053 + s. What is m rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*x**3 - 45*o**2*x**2 - 2*o*x**3 - o*x - 3*x**2 - 64*x wrt o?\nAnswer: 2*x**3 - 90*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 21\/4*p**4 + 0 + 0*p**3 - 26*p + 0*p**5 - 31\/15*p**6 + 0*p**2. What is the third derivative of r(f) wrt f?\nAnswer: -1488*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2992, -2983, -2974, -2965?\n\"Answer: 9*x - 3001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19206980 a multiple of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111010010001010111 (base 2) to base 11\nAnswer: -153361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 73*x**2. Let a(v) = -2*v + 10. Let m(g) = -g + 6. Let p(l) = -3*a(l) + 5*m(l). Determine p(y(z)).\nAnswer: 73*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166 - -297. Suppose -4*x = -y - 13. What is the highest common factor of 24 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*s = -84, 32 = 8*s - 10*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/6 - 0\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 956*m - 959*m = 49, -4*b + 3*m = -17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/6*(-1 + (-214)\/(-3) - 3) is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5114140?\nAnswer: 2, 5, 37, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-10 - ((-940)\/(-1645) + (-123)\/7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-242)*(-48)\/(-28))\/(122\/671)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -9922836.\nAnswer: 9922835.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 28. Suppose o - l + g - 33 = 0, 0 = l + 4. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -0.1. Let r = -19.2 - -19. What is the closest to r in -5, b, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.437484 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-21)\/(-6)) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 1144?\nAnswer: -915.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264248 and 1360680.\nAnswer: 91165560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1162, -1167, -1176, -1189, -1206, -1227, -1252?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4980, -5 in decreasing order.\nAnswer: 4980, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.007 + 0.90668. Let m = j + 0.1. Round m to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1288, 4245, 9168, 16057, 24912, 35733, 48520?\n\"Answer: 983*b**2 + 8*b + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) 1\/8 (d) -395 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 1. Let h(u) = 2*u**3 + 4*u**2 + 6*u + 8. Let v be (-6)\/(-9) - 2\/(-6). Let j(s) = v*h(s) + 10*l(s). Factor j(b).\nAnswer: 2*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8262)\/(-135))\/((-2)\/(-10)). Let g = z - -95. What are the prime factors of g?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(1 - 2\/4). What is the tens digit of ((4680\/s)\/13)\/((-6)\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h**2 - 5*h + 7. Let z(s) = 6 - 2*s - 5*s**2 - s - s. Let c = 2 - -3. Let w(g) = c*z(g) - 4*y(g). Find the first derivative of w(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 12) to base 6.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -193809.\nAnswer: 26\/64603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.479, -3\/4, -1.21, 3\/4, 3.\nAnswer: -1.21, -3\/4, -0.479, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = -0*j - 5*r, -2*r = -2*j - 16. Let p be ((-16)\/(-40))\/(3\/j). Which is the third smallest value? (a) 1\/5 (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3. Let o(u) = -2. Let b(p) = -8*o(p) - 5*t(p). Let n be (-9)\/(-6) + 154\/(-4). Let i = n + 35. Let z(m) = m. Calculate i*b(c) - 2*z(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 2:50 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333322003 (base 4) in base 7?\nAnswer: 6452460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*c**4*t**3 - 45*c**4*t - 4*c**3*t + 74*c**2*t**3 - 2*c**2 + 2*t**2 + 1 wrt c?\nAnswer: 240*c*t**3 - 1080*c*t - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026234 rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*j = 102*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 + 3 = 0. Suppose j - 7 = a, k*a - 4 = 2*j - 6*j. Let h(v) = -v**3 - 2*v**2 + 1. Calculate h(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1156657 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*9*-34*10\/(-1020)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 2*v**2 + 7*v + 4. Calculate a(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (22 - (45 - 17))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h*q**5 + 22*h*q**4 - 6*h*q**2 - 25*q**4 + q**2 + 1030*q wrt q?\nAnswer: -240*h*q**2 + 528*h*q - 600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p**2 + 100 - 100.\nAnswer: -37*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.6 + 2.6. Let v = 0.109 + -0.097. Let i = v - 0.112. Is s <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/(-6))\/7)\/(((-121)\/(-22))\/(-11))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29)\/(7540\/1627704)*20\/(-6). What is the greatest common factor of 282 and f?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-4)\/12)\/1. What is the closest to 0 in 3, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58773)\/1096 - (-2704)\/52?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqqffyeeyqyyy. What is prob of picking 1 f and 2 e?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w - 22 - 38. Which is the closest to -0.1? (a) 1 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*k**2*l*w + 52*k**2*l - 27*w**3 wrt w?\nAnswer: 10*k**2*l - 81*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 5723725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42, -336, -1156, -2772, -5454, -9472, -15096?\n\"Answer: -45*h**3 + 7*h**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6 + y**2 + 13*y - 15 + 13. Let x be v(-13). Solve 0 = -a + x, -1 = -4*j + 2*a - 25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -113557*d**2 + 7*d. Let g(t) = 2*t**2. Give y(g(k)).\nAnswer: -454228*k**4 + 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73113524.\nAnswer: 2, 11, 29, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-15)*(-40)\/84.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a - 37 + 1 + 36.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 15*d - 5*d**3 + 0 + 0*d**2 + 23\/12*d**4. What is the second derivative of c(v) wrt v?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = 27. Let r = -18 - z. Calculate the common denominator of -13\/4 and r\/(-12)*(-3)\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8251151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17796 - 17841 = 15*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 + 40301*m + 1 - 40301*m - 4*m**2 to i*m**3 + p*m**2 + r*m**4 + w + k*m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.32 - -10. Let z = n + 0.02. Let y = 2 - 2.2. What is the nearest to 0 in z, y, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 24182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 2068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -7, -1\/3, 16\/5, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 + -2 - (-2 - 2) - -1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**3 - 3*j**3 - 2*j**3 - 3*j**2 + 2*j**3 + 3*j**2 + (-1 + 1 + 1)*(0*j**2 + j**3 + 0*j**2) + 10*j**3 - 2548179 + 2548179.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7 = -4*f - 17, 0 = -f + 5*a - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -350 (b) 5 (c) 2\/5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -250519651*x**5 + 301072989*x wrt x?\nAnswer: -5010393020*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 10 - -2 - 2. Let r(c) = 4*c - 8. Let s(y) = -y. Let k(o) = -r(o) - 12*s(o). What is the units digit of k(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 0*y - 33*y - 44 - 10*y.\nAnswer: -43*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 - -21?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8*r*r)\/r)\/r**(2\/21) assuming r is positive.\nAnswer: r**(187\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 30 = n. Let f(g) = g**2 - 5*g - 3. Let t be f(n). Let x be 10\/4 + (-1)\/(-2). Is x not equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 174?\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 832119 > 832119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 58?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -1 (b) 1\/9 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 0, -1, -199\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 + -11?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1990.504 - 1998. Let q = 25.2 + -17.7. Let l = q + m. Round l to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20111 and 33631.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(334*c + 41*c + c).\nAnswer: -1128*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 239579463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10709184 and 21760.\nAnswer: 214183680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -41.51?\nAnswer: -41.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -25*s + 4. Let y be g(-3). Suppose 0 = -c + 3*m - 0*m + y, 2*c + 2*m = 126. Is c*3 - (3 - (-10)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**2 - 24*g - 6. Let z(r) = -r**2 - 4*r - 1. Let j(x) = -v(x) + 6*z(x). Let k(m) = -241*m**2 + 2*m. Give k(j(p)).\nAnswer: -241*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6094*l - 5161637. What is t(847)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -33*v. Let o(f) = 58*f**2. Give o(m(z)).\nAnswer: 63162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/(-56))\/((-256)\/126 + 2). Suppose -f + 18 = g, 0 = -2*f - g + 15 + m. Solve -2*d = d - f, 0 = 3*o - 3*d + 21 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3733?\nAnswer: 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/103, 5, 25496 in decreasing order.\nAnswer: 25496, 5, 2\/103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -18. Suppose k*w - 10 = 3*w. Solve 0 = w*m + 1 + 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*m - 52*m - 55*m + 3*m + 128.\nAnswer: -142*m + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2326 is divided by 333?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Let y(p) = p**2 - 6*p - 6. Let l(j) = 3*j**2 - 17*j - 17. Let d(f) = 6*l(f) - 17*y(f). Determine d(t(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 - (-4)\/(-8). Let j = d - -15. Solve 0*z - 3*z + j = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16161 - 2012?\nAnswer: 14148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(504))\/(sqrt(40)\/(sqrt(20)\/(sqrt(16)\/sqrt(4)))) + 4.\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - -95. Let v(t) = 560*t - 29. Is 46 a factor of v(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227687 - -6.5.\nAnswer: -227680.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 170 = -2*x, 4*f + f + 20 = 0. Let p = 130 - x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2379, -2380, -2381?\n\"Answer: -v - 2378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -431, -443, -455?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21102 (base 3) in base 13?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-8 - -28 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449772451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arrraparrraraprappr. Give prob of sequence ppap.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 326\/3 - 1\/(-3). Let l(w) = -7*w**2 - 2*w + 3. Let z be l(2). Let q = z + o. Calculate the greatest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3001908 hours to nanoseconds.\nAnswer: 1080686880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 0. Suppose 20 = 2*u - c. Let g = 165 + -75. What is the greatest common divisor of u and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.356 - 1.256. Which is the second smallest value? (a) 18 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49019931 to the nearest 100000.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:48 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4)*((-1515)\/215 + 7). Let i be (3 - 3)\/(35\/(-7)). Which is smaller: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -0.1300621185085?\nAnswer: 4.1300621185085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 47 + 47 + 6*p**3 + 2*p**4 + 4*p - 2*p to x*p**2 + a*p + v*p**3 + w + b*p**4 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2 - 28380*s + 67118700 = 0.\nAnswer: 4730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 2.76.\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428245355 to the nearest integer?\nAnswer: 20694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 7, 0.3 in decreasing order.\nAnswer: 7, 3, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 + m**2 - 17*m - 26*m + 6*m to s*m**2 + z*m + h and give z.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16499 - -16490.953. Let n = 0.147 + j. Round n to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32845, 65430, 98015, 130600?\n\"Answer: 32585*s + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -13 (b) -0.212 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 622 and 7625409.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/378 and 83\/126?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 404542 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.39 - 43.390020108. Round y to 7 dps.\nAnswer: -0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21870 = -6*a + 24*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -26. Let m be (-3)\/2 + k\/10. Let j = 4 - m. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18921 = -26188*l + 28891*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*b**3*w**3 + 85*b**3 - 4*b*w**3 with respect to w.\nAnswer: -42*b**3*w**2 - 12*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5348280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58)\/(-56) - 6\/8. Let m(g) = g + 4. Let b be m(-5). Let d be ((-4)\/b)\/2 + -3. Which is bigger: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(132) + sqrt(132) + 1*sqrt(132)*-4 - sqrt(132))\/(sqrt(972)*3 - sqrt(972) - sqrt(972)).\nAnswer: -sqrt(11)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000311342 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9. Calculate the lowest common multiple of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**6 + 47305471*z**5 - 48*z**2 - 18*z - 547?\nAnswer: 120*z**3 + 2838328260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 13*r = 59*r - 118. Let h be (1\/(-3))\/(2\/(-8)). Find t such that -1\/3*t**r + h*t - 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + u = 27, 2*i + 2 - 18 = 2*u. Let k be (3\/(-2))\/((-31)\/372). Suppose -m + i*m - k = 0. Solve 4*q + 18 = 2*f - f, m*q + f + 17 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*z + 568*z = 3*m + 18, 0 = 2*z - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*784\/(-147)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 7 = -r, 117*l = 120*l + 65*r - 63*r + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.9283, -4\/3, -4\/57 in decreasing order.\nAnswer: 0.9283, 2\/5, -4\/57, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = -3*m + 13*w - 11, -w = 5*m + 16. Calculate the remainder when (1 - 16)*6\/m is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 19*m - 398. Let q(b) = -38*b + 800. Let w(a) = 4*q(a) + 9*x(a). Calculate w(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -509, -1019, -1529?\n\"Answer: -510*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -14\/9313?\nAnswer: -14\/9313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 46 = -2*o, 5*b + o - 3*o = 58. Calculate the common denominator of -24\/7 and (-1332)\/40 - (b\/10)\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:43 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 6*s + 3. Let j be n(3). Suppose -11*a = -16*a + j. Find the second derivative of -33*d + 24*d**3 - a*d**3 + 9*d**3 wrt d.\nAnswer: 162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 1319.\nAnswer: -35\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 881357.1us?\nAnswer: 0.8813571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*j - 20. Suppose 0 = -3*d + j + 2. Suppose -38 = -d*f + 18. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 5*w - 10. Calculate f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*v**3 + 2*v**2 - 98*v**3 - 2*v**2.\nAnswer: -387*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 2*t**3\/3 - 6*t**2 + 7*t. Does 12 divide u(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4158 is divided by 1370?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 8.4. Let g = 2.44 + f. Which is the third smallest value? (a) 0.3 (b) g (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3419 + -3032. Solve 5*o - 377 = -c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-15 + (-460)\/(-30))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 7:16 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -127*b**3*v + 734*b*v + 9380585*v wrt b?\nAnswer: -381*b**2*v + 734*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 1 (c) 1\/44 (d) -3 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1290 (b) 1 (c) 3\/13 (d) 0 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 972284 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1763 = 422*s - 379*s. What is the remainder when 694 is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0348 - -0.0652. Let s(p) = p + 8. Let x be s(-4). Which is the nearest to f? (a) -5 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + -3 + 4269 + (15 - 19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2\/(-84)*2). Let s = -29 - -31. What is the second derivative of -103 + 43*c**s - k*c + 103 wrt c?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 6, s: 12}. What is prob of picking 1 o and 1 k?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1182*h + 2751. What is the units digit of s(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3957525.79 + 19.81.\nAnswer: -3957505.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/448426327, 0.01, 2 in ascending order.\nAnswer: -2\/448426327, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqx when three letters picked without replacement from ybvxyyvxqvxxxxxxxu.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -346 + 4*w + 154 + 97 - 3*w + 94. Let s(p) be the first derivative of -p**2\/2 + p - 1. Determine -6*o(a) - 5*s(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -30. Suppose 5*u = 11 + 14. Suppose 5*a - 4*x + 9*x = 35, -u*x = 0. Calculate the remainder when a is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-761 + 346 + 594*d + 416)*((4*d - 5*d + 3*d)*(4*d**2 + 0*d**2 - 3*d**2) + 0 + 0 + d**3 - 28*d**2 + 3*d**3 + 28*d**2).\nAnswer: 3564*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000044872953 to 6 decimal places.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3768\/15)\/4 - (-558)\/6045*(-39)\/2.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41638\/(-5539)*(-928)\/(-64)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 141292 + 0?\nAnswer: 141292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239979452?\nAnswer: 2, 59994863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9*c - 4. Let t be s(1). Let d(w) = w**3 + 14*w**2 + 4*w - 1. Let j be d(t). Suppose -25 - j = -3*h. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 18. Calculate the lowest common multiple of p(-12) and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -644.638 - -646. Let i = j + 9.108. What is i rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9 - (-450)\/(-162).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00140312676 rounded to 5 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56125 is divided by 6998?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -18*z + 188. Let y be w(9). Let n be (-1 - 16)*2*(-65)\/y. What is the highest common factor of 170 and n?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + -1?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:43 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2676\/240 + -11)*(-30)\/160*-24.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18902\/4 + 7\/(-14). Suppose n = -3*z - 12*z. Round z to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 4*c = 222, -5*o - 130 = -14*c + 10*c for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 7*t + 17. What is v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/136 and -22\/4471.\nAnswer: 35768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14298.600063403 - -14298.6. What is f rounded to six decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59058050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 5*v - 19. Let h(l) = 9*l**3 - 2*l**2 + 3*l - 2. Let r be h(1). What is the units digit of z(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1019 - -1022. Suppose -4*i + p*j + 4361 = 0, -4*i - 10*j + 4381 = -9*j. List the prime factors of i.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 3\/(-6)*2 - (83 + -87). Suppose 0*h - 3*h = 81. Put 2, f, h in descending order.\nAnswer: 2, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -108. Which is the closest to -1? (a) o (b) 4 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(4*-1*sqrt(11)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -126196, -126197, -126198, -126199, -126200?\n\"Answer: -b - 126195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 10. Let d be 2 + -2 + 2 - 10. Let p be 2\/d - (-30)\/(-8). Sort p, 1, w in descending order.\nAnswer: w, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -1\/2*q**3 - 3*q**2 - 9\/2*q - 9. Let i(b) = 0. Calculate b.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a + 78074 - 78018 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/((sqrt(6)\/sqrt(2) + sqrt(3))*-2))\/((sqrt(60)\/sqrt(3)*-4)\/sqrt(10)).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/140 and -75\/224?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -8 (c) -3\/2 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -93, -z + 180*w = 183*w - 93 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95289 divided by 1381.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5 - 4*h**4 - 2*h**3 + 12*h**2 + 9*h = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - -1.95. Let g = 142.30075 - 144.3. Let k = g + q. Round k to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -760 + 384 - 5*a**2 + 376 + 0*a**2. Let i(s) = -42*s**2 - 18. What is i(q(x))?\nAnswer: -1050*x**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (410 - (-45)\/5) + (-12)\/10*-5 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = 20. Let s be (k\/(-35))\/(3\/21). Suppose o = 3*o - 18. Solve -o = v + s*g, -3*v + 5 + 3 = -g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + a77?\nAnswer: a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26c6 (base 14) to base 15.\nAnswer: 205d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253123254?\nAnswer: 2, 2341, 267647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 572 = -348. Find the second derivative of -41*h + 21 - m*h + 198*h**2 - 28*h + 94*h wrt h.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a - 3. Let m(v) = v**3 - v + 33. Let p be m(0). Let j = -28 + p. Determine f(j).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-11) - (1 - 2). Suppose 0 = -2*g - 21 + s. Let h(f) = -f**3 - 9*f**2 - 10*f - 11. What is h(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*-3*(-1152)\/(-432)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22399, 22849, 23299?\nAnswer: 23749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 7 - 7 - (1 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let f(u) = -198035244*u. Give f(o(z)).\nAnswer: -198035244*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 18.5321.\nAnswer: 16.5321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 - 10419656.\nAnswer: -10419655.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*x - 9*x - 2*x)*(-67*x + 13*x - 45*x) to the form q*x**2 + t*x + o and give q.\nAnswer: 3465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -4*r**7\/105 - r**5\/15 - 4*r**2. What is the third derivative of j(o) wrt o?\nAnswer: -192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 3*c. Suppose 12 = -0*n - 4*n. Let y be a(n). Find the third derivative of y + 0 + p**6 - 3*p**6 - 6*p**2 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/16 + 20207\/1336.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 48 = -4*s - 44, -2*s = -o + 38. Let w = -21 - s. Solve 4*d - 5*k + 13 = 0, w*k + 9 = -3*d + 3*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 11) in base 2?\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**20\/(t*t**(-1\/21)\/t)*t\/t**(-10\/7)*t**(2\/31))**7 assuming t is positive.\nAnswer: t**(14674\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:22 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5230, -2, 2, 5, -0.8 in increasing order.\nAnswer: -2, -0.8, 2, 5, 5230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1)*(-6 + (-217)\/(-35))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 3*y**3 - 2*y**3)*(-742 - 70*y + 742) + (1037*y - 2*y**2 - 1037*y)*(y**2 + y**2 + 0*y**2).\nAnswer: 66*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = 11 - 11. Put -4, a, 0.2 in increasing order.\nAnswer: -4, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81048\/273537)\/((160\/6)\/2)\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56270 and 1870?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247896 divided by 2817.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 3, v: 2, i: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/30 + (-1662)\/1385.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*r**2 - 5*r**4 + 212*r**2 + 139*r**2 + 3*r**4 + 2 - 6 to the form z*r**3 + c*r**2 + m + v*r + p*r**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3\/4 + 123*g**2\/4 - 1485*g\/4 + 5589\/4 = 0. Calculate g.\nAnswer: 9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/266)\/(-1)*-28*(-48)\/192.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p + 3. Let y be z(3). Let i = -5 - y. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(10\/30)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + (-92)\/(-28). Let n(l) = -f*l**2 + 0*l**2 - 3*l**3 - 4 - 2*l**3 + 4*l**3 + l. List the prime factors of n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -191 + 2?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*d = -129*d - 350. Sort -0.5, d, 2\/19, -3 in decreasing order.\nAnswer: d, 2\/19, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7932 - 0.0068. What is the nearest to 1 in 0, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 1732835 - 1731501 = -2*k for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1030026 and -17\/2403394.\nAnswer: 7210182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216641893.\nAnswer: 13, 16664761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(768)*-1*-1 + -2*(sqrt(3) + 4)**2 + ((sqrt(24) - sqrt(24)*-5 - sqrt(24))\/sqrt(8))**2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70200 rounded to the nearest one thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*q - 1\/6*q**2 + 0.\nAnswer: -q*(q - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 52 + 17 + 15 + 14 + 12.\nAnswer: 4*k + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h**6 - 3*h**5 - 126644*h**3 + 26*h**2 + 296*h + 264.\nAnswer: 1080*h**3 - 180*h**2 - 759864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202140*w**2 + 91500*w?\nAnswer: -404280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80, -88, -48, 64, 272, 600, 1072, 1712?\n\"Answer: 4*b**3 - 36*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4925*g**4 - 2*g**3 + 46329*g**2 wrt g?\nAnswer: 118200*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24392298 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/10)\/((-21)\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5981441*n*s**3 - 2*n*s**2 - 3354*s**3 - s**2 + 7*s + 4 wrt n?\nAnswer: 5981441*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(8)*-3*-6)\/((sqrt(48)\/sqrt(2))\/sqrt(6)).\nAnswer: 1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1150 and 785542?\nAnswer: 19638550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98324551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -2.1. Let h = -298\/99 + 38\/11. Which is the biggest value? (a) -0.5 (b) 3 (c) h (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 2. Let m(z) be the third derivative of -z**3\/6 + 15*z**2. Determine 2*g(v) + 6*m(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 + 2*f - 1. Let g be m(-2). Let k = g + -15. Which is the second biggest value? (a) 3 (b) k (c) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 10. What is the smallest common multiple of 10 + (-3 - a)*1 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 108*t - 13 = 100*t, -5 = -3*v + 2*t + 12 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*b - 25351, -703 + 9155 = b - 2*d. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l = -23*l - 27*l + 994 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 17*i - 30. Calculate the remainder when 528 is divided by d(7).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273922.\nAnswer: 2, 11, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g\/g**(2\/39))\/((g*g**(-1\/2))\/g*g**(-1\/4)) assuming g is positive.\nAnswer: g**(1357\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 5. Let c(q) = -2 + 3 + 0. Let g(x) = -2*x - 8. Let m be g(-5). Suppose -j + 2*v = 0, m*j - 3*v = -0*j + 3. What is j*c(a) + z(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1290249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*n - 4*z + 19, 5*z - 25 = 0. Let i(q) = -q - 1. Let a(g) = 2*g + 9*g**2 - 10*g**2 - 1 + 3 - 1. Calculate n*a(u) + 4*i(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*o + o + 0 - 8*o + 0)*(-14*o**3 - 14*o**3 - 34*o**3).\nAnswer: 2914*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 31*f**2 - 20*f + 39. List the prime factors of l(29).\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3965 - 965 = 120*x. What is the remainder when 822 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + k = 49 + 122, 2*j + 4*k - 180 = 0. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 43 = -11. Let c be (u + 2)*8\/(-12). Suppose -c*n - 10 = -6*n. What is the closest to -1 in -1, 0, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 7*v + 6. Let f be u(-5). Let c = f - 12. Let g be c\/(-4) + (-4)\/(-16). Sort -5, g, 1 in descending order.\nAnswer: 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8411745?\nAnswer: 3, 5, 560783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -b - 39. Let f(w) = -3*w**3 - 19*w**2 + 6*w**b + 8*w**2 + w + 3*w - 1. Let t(c) = -c**2 + c. Give -f(m) + 4*t(m).\nAnswer: 3*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012020310 (base 4) in base 16?\nAnswer: 46234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)\/b*b)**(-21) assuming b is positive.\nAnswer: b**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1236, 1248, 1272, 1308, 1356, 1416?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153365355*i**3*s**3 + 2*i**3*s**2 - 8*i**3*s + 66*i*s**2 + 602*i wrt s?\nAnswer: 920192130*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11011101101100?\nAnswer: -11011101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, 0, 29, 92, 201, 368?\n\"Answer: 2*k**3 - k**2 - 4*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 2*x - 5. Let n(u) = u**2 - 5*u - 3. Let p be n(4). Let j(z) = z**3 + 7*z**2 + 4. Let s be j(p). Is 11 a factor of c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.57*-1\nAnswer: 4.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*f + 16*f + 15*f + 7 as y + q*f and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507632 is divided by 169205.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 15. Let h be ((-17)\/(-68))\/((-2)\/(-8)). Suppose -3*l + h = -5, l = -s + 7. Solve -2*z = -s*m - 19, -v*m - 2*z - 31 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*n - 3 - 19 = 0, 2*s + 9 = n. Suppose -4*j + 9*j = -30. Let t = s - j. What is the greatest common factor of 14 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72368.74961 to the nearest 100.\nAnswer: 72400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 104953, 208980, 313007, 417034?\n\"Answer: 104027*y + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 + 10*s**2 + 131*s - 20. Give l(-5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1140336 and 25200?\nAnswer: 199558800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -17, 2, 4, -2, -1, 5 in increasing order.\nAnswer: -17, -6, -2, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14983 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:21 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46312721 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 75\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-351*d**2 + 2967 - 13*d**2 - 2967)*(2*d + 5*d - 2*d) to the form l*d**2 + j*d + c*d**3 + v and give c.\nAnswer: -1820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -206, -467, -832, -1301?\nAnswer: -1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**5 + 8606*t**4 + t**3 - 2*t**2 + 253*t + 7 wrt t?\nAnswer: -180*t**2 + 206544*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312075885?\nAnswer: 3, 5, 11, 17, 71, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**6\/90 - 19*h**5\/30 + 41*h**4\/3 - 1157*h**3\/9 + 1859*h**2\/6 + 2959*h. Find m such that d(m) = 0.\nAnswer: 1, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((2\/36)\/(9\/(-18))). Suppose 34298 = 31*d - u*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -911075*g. Let w(k) = k + 25. What is w(j(y))?\nAnswer: -911075*y + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56412.42 millimeters to nanometers.\nAnswer: 56412420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 + 135 - 337 + 19*r + 10*r.\nAnswer: 29*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -39.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 13*w**2 - w + 817. Let x(i) = 35*i**2 - 4*i + 2451. What is 8*a(r) - 3*x(r)?\nAnswer: -r**2 + 4*r - 817","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 4 - (-8 - (-22 - -7) - 22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29282 or -29038?\nAnswer: -29038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 5 - 5)*(-2 + 0 + 4)*(-1 - 2 - 1).\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1347604514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Solve -o*r + 9 + 11 = 5*a, 4*a = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(612) + 1) + (-4*(sqrt(612) + 1))**2 - ((sqrt(612) - (sqrt(612)*2 + 1))*-3)**2.\nAnswer: 90*sqrt(17) + 4292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 98\/60 + 2\/(-15) - 1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-73)\/(-5) - (-4)\/10. Solve 0*q + 5*n = q - 14, 5*n = -c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 14*u + 406. Let r be w(-28). Let c(f) = -f**2 + 16*f - 15. Give c(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -48*z**2 + 3501*z + 257. What is o(73)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 761591.19 and 0.163?\nAnswer: 761591.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -16*x**2 + 195*x - 805. What is j(8)?\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 4*p**2 - 11*p + 11. Let s be a(-6). Suppose 115 = s*u + 5*j, -94 = -5*u - 15*j + 17*j. Solve 5*c - d + u = 0, 26 = c + 5*d + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137618068*u**5 + 130416589*u**2 wrt u.\nAnswer: -8257084080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 9) in base 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95*136.\nAnswer: -12920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1077 + 1082. Solve -4*x + 0*g = -f*g + 15, -x - 3 = -g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - -2*-2*sqrt(133) - sqrt(133)))\/(sqrt(42)\/(sqrt(6) + (sqrt(6) - sqrt(24)\/sqrt(4)))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270990 rounded to the nearest 1000?\nAnswer: 271000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1460 + 8068 = 4*u. Let m = u + -1141. Let f = 1182 + m. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(12) + sqrt(36)\/sqrt(3)*-3))\/(6*sqrt(36)*5).\nAnswer: -4*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 117*l - 222.\nAnswer: -3*(l - 37)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/564 in 0, 0.02, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or 50?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/10 + 11\/60. Let k = -0.05 + -9.95. Let f = k - -10.2. Which is the closest to f? (a) -3 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3079313, 3079308, 3079301, 3079292, 3079281, 3079268, 3079253?\nAnswer: 3079236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*d + 82, 3*h - 3*d = 7*h - 97. Let g be 2\/6 + h\/6. What is the units digit of 2*(-1)\/g*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/12)\/((-1)\/(-3)). Suppose 11 + 12 = 4*w + 3*n, 0 = -3*w + r*n + 30. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5082 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -50 - -8*8\/16. Let b be 209\/((-22)\/4 + 1). Let n = b - d. What is the common denominator of n and 50\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 61806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6466593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/3 + 268*z**3\/3 + 274*z**2 = 0.\nAnswer: -3, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) 0.4 (c) 1358\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:03 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1043736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51074 is divided by 1962?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -2*y. Find the third derivative of -y*s**5 + 2*s**2 - 3*s**2 + 8*s**5 wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3516*f + 7593*f - 3070*f - 68 + 68 as r*f + p and give r.\nAnswer: 8039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25.9 (b) 2\/7 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 291, 470, 599, 654, 611?\n\"Answer: -4*h**3 - h**2 + 210*h + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 + -2 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 4*u**3 + 0*u**3 - 12*u**3.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + v + 3. Let n be i(-2). Let s be 0 - (2 + (-10 - n)). Let p(d) = -2*d**3 + d**2 + 3*d + 3. Let b be p(-2). Solve 3 = -s*f - b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2\/4 + 4622985*d\/4 + 2311491\/2 = 0.\nAnswer: -1540994, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*v + 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159369, -161980, -166331, -172422, -180253, -189824?\nAnswer: -201135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2699 = -28*c - 3203 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2552 and 117568.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9018 and 316298?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times -7?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) 0.06 (c) -2\/13 (d) -0.233 (e) 42.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s. Let n(x) = -5*x + 5*x - 1403*x**2 + 1869*x**2. Determine n(c(v)).\nAnswer: 1864*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6118 (b) -0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((11 - (7 - 3)) + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*g - 2 = -18, 2*s - 4*g = 24. Let c(n) = -3. Let p(x) = -1. Let w(j) = -3*c(j) + 8*p(j). Let t(b) = 5*b + 2. Determine s*w(l) - t(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**4\/12 + 3*k**2. Let d = 595 + -588. Let o(w) = -3*w - 1. Calculate d*x(z) + 4*o(z).\nAnswer: 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 12. Give m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-8)\/4)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 24 = -4*d, -3*r - 2*d = -13. Let c be (-246)\/(-6)*85122 - (r - 1). Round c to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 45176722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 8:34 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:33 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 3*y + 5*y - 16, 0 = -2*y + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 75. Sort 28, 5, g.\nAnswer: g, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 170\/18 - (-7)\/2*80\/(-420).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -572 - bbbc?\nAnswer: -c461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30978599*h**6*v**2 + 2*h**3*v**2 - 8*h**2 + 2*h*v**2 - 3564546*h wrt h?\nAnswer: 3717431880*h**3*v**2 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -592 + 588. Which is the nearest to 0.2? (a) 5 (b) 0.34 (c) s (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 10:51 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1023870 (b) 8 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from aaanqbbbqna.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/88 + 291\/10120. Which is the third biggest value? (a) 0.1 (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 5 (b) -64 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 0\/4)\/((-539)\/(-132) - 4). What is the greatest common divisor of 1592 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003420773 to six decimal places.\nAnswer: -0.003421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 1. Let c be q(6). Let l(y) = 1 - y - 2*y - c - 3. Let b(k) = 2*k + 3. Let r be b(-4). Let h(m) = 4*m + 10. What is r*h(w) - 7*l(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 254951339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12888624 a multiple of 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - -3 - (2 - 4). Suppose 16 = -n*v + v - 2*g, 104 = 5*v + 2*g. Suppose -5*x - 4*i = -4*x + 17, v = -4*i. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213*y**4 + y**3 + 88*y + 2 wrt y.\nAnswer: 2556*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84781266.\nAnswer: 2, 3, 23, 271, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1009*u - 42091 = 306*u + 55219 for u.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 18*q - 85. Let l = 34 - 56. Let p be u(l). Let y(w) = w**3 + 5*w**2 - 2*w - 2. What is the remainder when y(p) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-18 + -5 + 12 - -6) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/83 and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/4)\/i)\/(i**(-18)\/i) assuming i is positive.\nAnswer: i**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5403006 minutes to nanoseconds.\nAnswer: 32418036000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-16810 + 33612 - 92*r**2 - 16808).\nAnswer: -92*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 84 = -64. Solve -d*f + 0*p + 2*p - 8 = 0, 0 = -3*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 370*f**2 - 276*f - 3 wrt f.\nAnswer: 740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52010 by -2.\nAnswer: 26005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35995866 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -7609988\/7 and -1087140 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0*1\/3. Suppose -q + 16 = -3*c - 2*c, 0 = -j*q - 5*c + 32. What is the remainder when 207 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206*u**3 + 184*u?\nAnswer: -1236*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z**6 + 0*z**2 - 10*z**3 + 2\/7*z**7 + 0*z**5 + 0*z - 4 + 0*z**4. What is the third derivative of g(u) wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6998.338 decades in centuries?\nAnswer: 699.8338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 = d, -3*s = -0*d + 4*d - 20. Solve 0 = -4*n + d*j + 8, 3*n + 5*j = 1 + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 + 24657?\nAnswer: 25167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + y**2 + 8. Let p be k(0). Suppose -5*a - 6693 = -p*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1027 + 2*b**3 - b - b**3 + b**2 + 2*b - 979. Does 16 divide r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1236, -1297, -1370, -1461, -1576?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)\/f*f)**(3\/16)*f**5*f*((f\/(f*f\/f**3*f*f))\/f)\/f)**(5\/14) assuming f is positive.\nAnswer: f**(625\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*i = -7*i + 71, 2 = -i. Solve 13*o - a = 18*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3162789 or -3162788?\nAnswer: -3162789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -17. Suppose 1 = j - g. Suppose 4*l - 2*z = 336, 187 = j*l + 5*z + 19. What is the remainder when l is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 19. Let l(k) = 2*k**2 - 7*k**2 + 2 + 5 + k**3. What is the lowest common multiple of a and l(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04258 + 0.0324. Let g = -4.99 + 5. Let i = v + g. Round i to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/91)\/(28\/98) - 603\/(-6)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*u - 3, 2 = 4*u + 3*m - 1. Which is the closest to -11? (a) u (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, -0.02, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Let b = -247.098 - -0.098. Let q = -250 - b. Put q, j, -1\/2 in descending order.\nAnswer: j, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = 4*v, -2*v - 6*w = -4*w - 10. Suppose a + 5*m - 13 = v, 3*a - 5*m = -5 + 24. Solve -5*s + 6 = -a*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1421 - 1406. Suppose 4*f + 2*c = 4 + 6, 4*c - 11 = -5*f. Solve 3*m - t = -f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 10*v + 8. Is w(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 - 2*y + 57 - 110 + 3*y as f + i*y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106471, -0.2, -170 in decreasing order.\nAnswer: 106471, -0.2, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 858203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u**5\/5 - 572*u**4\/5 - 2598*u**3\/5 + 19683*u**2\/5 - 33588*u\/5 + 3564 = 0 for u.\nAnswer: -66, -10, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 2. Let n be y(3). Let x = -17 - -15. Let m be 2*1*x\/9. Is m >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 58*w - 54 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6642 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*f + 114*f = -153*f - 5*m - 105, 0 = 2*f + 5*m - 63 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/10)\/(12\/(-90)). Suppose 5*u = -137 - y. Let v = -26 - u. What is the least common multiple of v and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.5 plus 215?\nAnswer: 462.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-27))\/(((-290)\/120)\/29)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7172983*p**2 - 7771894 wrt p?\nAnswer: 14345966*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, t: 1, s: 4, x: 3, l: 4, u: 1}. Give prob of picking 1 l and 1 u.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 2*s - 2. Let f be a(-4). Let v be 20*2\/(-8) - 17*(-4 - -1). What is the tens digit of v*2*1 - f\/(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 7*x**2 + x**2 - 13*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 311586 (base 9) in base 16?\nAnswer: 2d258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 53 + 71 = 0. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 - (-4 - -2) - (21 - (35 + 7 + -13))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/3 + (-4)\/(-6). Suppose 18*q = 14*q - 3*w + 3, 5 = 5*q + 5*w. What is the third smallest value in q, g, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58040 divided by 4?\nAnswer: 14510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000442943522 to 7 dps.\nAnswer: 0.0004429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**4\/24 + 8*s**3\/3 - 2*s**2. Let i be z(-7). Solve 5*o = -4*d - 12, -3*d = 5*o - 4*o + i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 1 + 11)*(-22*h + 74*h + 11*h)*(-3*h - h + 5*h) in the form m*h + n + t*h**2 and give t.\nAnswer: 1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 58*f + 2. Let w = -102 + 104. Does 12 divide a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-176) + (2 - (-893)\/11). Let j = 88 - f. Let h(y) = y**2 - 3*y - 7. Let o be h(j). Solve x + 16 = 3*g, 0 = o*x - 0*g - 2*g + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 753 + -743. Calculate the remainder when 97 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -690392 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 459*g + 513*g + 56000 = 0 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 36*f**3 - 270*f**2 - 424*f - 192.\nAnswer: 2*(f - 24)*(f + 1)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25 = -j, -6*j + 3*j - 31 = -x. Does 7 divide x\/77 + (-3526)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*p - 5*x, -4*p + 2*x + 24 = -0*p. Let j be (-10)\/(-2)*(-9)\/(-15). Solve 0 = j*m + 5*o + p + 4, 2*o + 4 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.1. Let o = 3.2 + 0.8. Let t = -1 - o. Which is the second smallest value? (a) t (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056225.\nAnswer: 3, 5, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(11) + (sqrt(396))**2)*-3.\nAnswer: -1179 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -276 + -3782576\nAnswer: -3782852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epbpeptektqtpkppte. What is prob of picking 1 p and 1 t?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2, -47.\nAnswer: -47, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 5*x + 178334 = -1064962. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 15 - -2) + 202 + -91?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2. Suppose p - a - 3 - 4 = 0, -3*p - 5*a - 19 = 0. Let n(g) = 2 + 9*g - 20*g - p. What is n(o(t))?\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8) + 34\/(-4). Let i be -2*(-5)\/(c\/(-1)). Are i and 24\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -0.4193932.\nAnswer: -0.5193932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + s - 4, -5*m - 3*s - s = -17. Suppose -m + 1 = 8*c. Solve -z + c*z = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zszsszzzsszzszzs. What is prob of picking 3 s?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -6*h + 12. What is the third derivative of 52*p**h - 39*p**6 - 65*p + 65*p - 165*p**6 wrt p?\nAnswer: -24480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4. Let t = 5 + k. What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/6 - 2*x. Let a(m) = -6*m + 10. Let o(p) = 5*p - 8. Let s(l) = -4*a(l) - 5*o(l). Give s(y(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10849 + 22.7?\nAnswer: 10871.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 284 = 112. Suppose f + 3 = 0, 6*r = 4*r - 5*f + 183. Calculate the lowest common multiple of g and r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 560 (base 10) to base 2\nAnswer: 1000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5394 times -0.2\nAnswer: 1078.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r, 0 = -u + 2*r - 12. Let f be (28\/20 - 1) + u\/5. Let t = 2 - -2. Put t, f, -16 in descending order.\nAnswer: t, f, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from fkgcfklga.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2176 + 3993 - 300*w**3 - 1817.\nAnswer: -300*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140867\/60 - 2347. Find the common denominator of 91\/18 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -3\/5 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2238261*t**3 - t + 2238266*t**3 + 2238270*t**3 + t - 6714799*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(770\/(-90)))\/(1\/(-11)). Solve -11*o - s - 5 = -r*o, 3*s + 15 = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 6*h**2 - h - 1. Let a be o(-6). Suppose 5*u - 243 = -0*k - k, a*k - u = 1267. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r**2 - 3 + 15*r**2 + 76*r**2.\nAnswer: 55*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 176320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + -0.01. Which is the smallest value? (a) 2\/15 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = 78*m - 222*m. Let c be (-2)\/(-4) - (-5)\/(-13). Let l = c - 47\/182. What is the second biggest value in 5\/3, m, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/6, 1, 4, 8\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i\/(i*i*i\/(i\/i**(2\/7))))\/((i\/((i*i*i**(-3\/7)\/i)\/i))\/i**(4\/3)) assuming i is positive.\nAnswer: i**(-29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 12*l**2 - 3*l**4 - 426*l**3 + l - 1 + 424*l**3 in the form b*l**2 + y + n*l**3 + a*l**4 + h*l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 168*s**2 + 1425*s - 1027. Give d(-159).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 19\/5*s**5 + 4\/3*s**3 + 63 + 6*s + 0*s**2 + 0*s**4. What is the third derivative of g(r) wrt r?\nAnswer: 456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**2 + 0*w**2 - 11 - 6*w**2)*(3 - 1 + 2) to the form b*w**2 + m + j*w and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 2, d: 1}. What is prob of picking 1 d and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1440279 is divided by 349?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*g**2 - 3*g**2 - 9*g**2 to l*g**2 + w + z*g and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366109617.\nAnswer: 3, 61, 151, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/78)\/((-214)\/1605).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1262 divide 21348052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.9782 * -131.\nAnswer: 3272.1442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2)*(-4950139 + 213*c**4 + 4950139 + 7*c) as w*c + h*c**3 + g*c**4 + u*c**2 + p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 + (0 - 4 + 2)*(2 + 4 - 4) - 94 + 94 - 70)*(-3*x + x + 4*x).\nAnswer: -150*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 8*n**2 - 6*n + 9. What is y(-8)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-15)\/70 + 2 + -2. Is y <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/9, -4\/7, -0.3, -5.1, -5, -6\/59, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85560 a multiple of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 2. Let s be j(3). Suppose -2*x - 1 = k, 3*x + 2*k - 1 = -s. Calculate the least common multiple of 16 and (-67)\/(-3) - x\/6.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 21*x**2 + 0*x + 7\/20*x**5 + x**3 + 0 + 0*x**4. Differentiate s(b) wrt b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75864923.77 + 75864854.77000057. Let x = 69 + z. Round x to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = 175*h - 97*h - 68*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1694 + -1507. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 0*k. Suppose 16 = -k*t - 2*t. What is the units digit of (-4)\/t - (-9)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2.4, -2, -539?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 54. Let p = -17 + d. Solve p*f**2 + 0 + 0*f - 1\/7*f**4 - 1\/7*f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 16*q - 25. What is the units digit of p(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 871 and 466461437.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 36. What is j(26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*q**2 - 27*q**2 + 10*q**5 - 248*q**4 + 248*q**4 + 10*q**5 + (-q**2 + 0*q**2 + 3*q**2)*(q - q - 2*q**3).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 2, m: 2, e: 2}. Give prob of sequence mi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-3))\/((-1)\/3). Let d be ((-22)\/4)\/((-2)\/(-4) + -1). Let r(w) = w. Let p(u) = 3*u. Give d*r(k) + y*p(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 + (65\/20 - 3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Let y = 2 - 3. Let g be 2 + 1 + y + 4. What is the highest common divisor of m and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*w + 12, 6 = 5*a - 3*a - 4*w. Sort -9, a, 1, -2 in ascending order.\nAnswer: -9, -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - g - 2)*(g + 5 - 5).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssshndddd. Give prob of sequence hnd.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/30)\/((-4)\/(-6)). What is the closest to j in 6\/7, 5\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l - 97*l - 150 = 0. Sort l, -28, 1 in descending order.\nAnswer: 1, l, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (8 - 31) - (-58 - 12)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 1:38 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-18))\/(55\/110)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0068 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1110 by -4.\nAnswer: -555\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -1876701.465 and -126.6.\nAnswer: -1876828.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuzuuoouoouzo. What is prob of sequence ooz?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**4\/24 + 3*m**2. Let a(q) = -q**2 - 4*q. Let y be a(-4). Let w be n(y). Is w equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2 = -5*q. Put 4, -2, 3, q in descending order.\nAnswer: 4, 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f + 26. Let c(h) = -5*h - 13. Determine -5*c(j) - 3*o(j).\nAnswer: -2*j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - 26733?\nAnswer: -26715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6825041 decades?\nAnswer: 81.900492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/396 and 59\/92?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 725*s - 648*s - 319704 = 0. What is the highest common factor of 168 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 29*s**2 + 10*s. Let v(u) = 57*u**2 + 20*u. Let w(f) = -7*a(f) + 4*v(f). Let w(g) = 0. Calculate g.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = -9*l + c - 10*c + 77, 0 = 2*l - 4*c + 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 86 - (-15)\/(2 + 3). Suppose -p + 37 = -5*a + 225, -2*a = -5*p - s. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 8*l**2 + 2*l - 5. Let h be p(-6). Let t = 84 - h. Let r = -33 + 62. Are r and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + -2 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/((-5)\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 1278530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 2. Let q = b - 2. Let k = -4 - -2. Put q, -3, k in increasing order.\nAnswer: q, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 939, 2, 0.5, 4 in increasing order.\nAnswer: 0.5, 2, 4, 939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244442086?\nAnswer: 2, 41, 103, 147341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605\/(-240)*4144\/259?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -148633 times -0.02\nAnswer: 2972.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 428904 and 234?\nAnswer: 5575752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + (15 - 5) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/90 and 43\/126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*356\nAnswer: 142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6074 + 6074 - 12507*t**2.\nAnswer: -12507*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4032\/(-182) - -39) + -17\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59.9 and -141?\nAnswer: 8445.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -996*k**3 + 64*k**2 - 31866*k.\nAnswer: -5976*k + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12076467.\nAnswer: 3, 13, 37, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 + 44*o - 12. Let z be (-4*(-12)\/(-32))\/(9\/12). Let g(c) = -16*c**2 - 177*c + 46. Let u(q) = z*g(q) - 9*m(q). Factor u(i).\nAnswer: (i - 8)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18816 - 18818. Which is the closest to i? (a) -1\/2 (b) -0.48 (c) 0.5 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 699 - 678 + 30*g**2 - 49*g**2 to the form u + w*g + b*g**2 and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t. Let z(d) = -85*d**2. Give z(a(i)).\nAnswer: -12240*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -2\/13, 6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2010, -8571, -19592, -35079, -55038?\n\"Answer: -w**3 - 2224*w**2 + 118*w + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2240.3388 + 2243. What is t rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.02 - 1. Which is the nearest to -2\/7? (a) u (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:08 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**3\/6 + 19*a**2 + 10*a. Let m(q) = -3*q + 113. Let v(t) = -17*b(t) + 6*m(t). List the prime factors of v(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g - 59. Calculate s(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v + 8 - 8)*(1340*v**2 - 748*v**2 - 818*v**2).\nAnswer: -1808*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1783409, 3566960, 5350521, 7134098, 8917697, 10701324, 12484985?\n\"Answer: w**3 - w**2 + 1783547*w - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1306 or -1.73331?\nAnswer: -1.73331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-2 - (-7 - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 76. Let t be q\/(-14)*12\/5. Suppose -t*x - 58 = -8*x. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u**2 - u)*(3 + 1 - 6) + (u - u + 3*u)*(-u - 2*u - u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/40)\/(-19)*-1*16\/(-84)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12994 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/12 and ((-4)\/4)\/(4\/122*-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, g: 5, v: 4}. Give prob of sequence vg.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 + 88. Suppose -4*u + 95 = -5*g + z, -2*g = -5*u + 110. What is the smallest common multiple of u and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/129*(-78)\/((-20592)\/66).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 79305.35 and 1.53.\nAnswer: 79306.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-21)\/10 - -2). Suppose 0 = -6*d + d + g. Suppose 20 = 4*h + 2*i, 17 = d*h - 3*h + 2*i. Solve 0 = k - b + h, -2 - 1 = 2*k + b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 4. Let j be s(-8). Let d be 18\/8 - 1\/j. What is the greatest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**3 + 312*r**2 - r - 78. Let x be s(-78). Let c(q) = 2*q**2 + q - 1. Let d be c(-4). Put -2, x, d in descending order.\nAnswer: d, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -1, -12 in decreasing order.\nAnswer: 41, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 15*p + 6. Suppose o - z = -o + 12, 0 = -3*o + 2*z + 20. Let u be s(o). What is the greatest common factor of 297 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 34*w**3 - 2*w**2 - 2*w + 4. Suppose -3 = -n, -3*n = -2*s - 3*s - 4. What is the tens digit of d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502 (base 7) to base 4\nAnswer: -3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18887 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 + 10*h**3 - 221 - 194 - 235 + 1101 - 228.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/294 and 113\/409032.\nAnswer: 20042568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -4. Let d = 43 + -47.4. Let g = d - -0.4. Which is bigger: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 11*v - 3. Solve o = -v*t + 8, 5*o - 12 = t + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1038 and 53630.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 20 = 2*x, 2*x + 4 = -b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 + (4 - 2 - 1)*(0 - 1 - 1))*(7*g**2 - 3*g**2 + 4*g**2).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1772592, 1772588, 1772574, 1772544, 1772492, 1772412?\n\"Answer: -w**3 + w**2 + 1772592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*b - 2. Let x(m) = 91*m**2 - 26*m**2 + 74*m**2 + m - 2 - 13*m**2. Calculate the remainder when x(b) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 = -1, 0 = -4*c - y - 43. Let h = c + 8. Let a = h + 8. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 28 = 22*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127512 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-4 - -2) + 3. Let m = -28 - -74. Let i = m + -49. What is the closest to -0.4 in 2\/13, b, i?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(5) + 2)**2 - sqrt(5) - (sqrt(55)\/(sqrt(33)\/sqrt(3)) + sqrt(5)).\nAnswer: 5*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 16*h**2 - 44*h + 159. Let t(l) = 7*l**2 - 22*l + 80. Let p(g) = 3*a(g) - 7*t(g). What is the remainder when 61 is divided by p(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0*a = -156*f + 162*f - 54, 0 = -7*f - 5*a + 69 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13306 divided by -35?\nAnswer: -13306\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6, m - 2 + 5 = -5*o. Let r be (1 + -1)\/(o - 0). Let c = -27485 + 27489. Solve 2*v = -c*d - 3*v - 21, -3*v - 3 = r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.88 + 23.9. Let b = 0.02 - f. What is the third smallest value in -0.3, -4, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -326\/13 and -25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -19*p. Let h(a) = -2*a - 3*a + 3*a. Let d = 2 + 16. What is d*h(x) - 2*j(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613 = -3*c + p, -2*c + 100*p = 98*p - 414. Calculate the remainder when 615 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 1.06.\nAnswer: -7.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 - 621*x**3 - 11868*x**2 - 27684*x + 40176 = 0 for x.\nAnswer: -186, -18, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, 18, 96, 248, 498, 870, 1388, 2076?\n\"Answer: 4*y**3 + y**2 - 3*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2 + 2)*(-2*n**3 - 5*n**2 - 4*n**2 + 4*n**3).\nAnswer: 2*n**4 - 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 5*c + 3. Let w(b) = b**2 - 8*b + 6. Let j be w(7). Let y be j + 22 + -3*1. Let p = y - 15. Give v(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*u - 16 = 76*u. Let y = 39 + -42. Let h be u + (-105997*667 - y) - 0. What is h rounded to the nearest one million?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**3 + 1436*q**2 + 2878*q + 1430. Let b(v) = 30*v**3 - 5742*v**2 - 11511*v - 5718. Let f(l) = 5*b(l) + 21*d(l). Suppose f(z) = 0. What is z?\nAnswer: -480, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:06 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3484, -3526, -3568, -3610, -3652?\n\"Answer: -42*i - 3442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342.57355*-5.\nAnswer: 1712.86775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792 is divided by 253?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 24*i - 1. Calculate l(17).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 292 (b) 0 (c) -2 (d) 1 (e) 3 (f) 3\/5 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/6378 and 173\/84.\nAnswer: 89292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.163 + -9.163012427. Round j to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - o + o)*(2*o - 2*o - o)*(-3*o + 2*o + 2*o).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -13*u**8\/28 + 77*u**4\/12 + u + 52. What is the third derivative of h(j) wrt j?\nAnswer: -3120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 0 - 5) + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 times 1?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 49. Let w = -32 - k. Suppose -4*x + 252 = w*x. What is the highest common factor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from azzmaazzmamz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d**3 - 5*d**2 - 2*d - 14. Let i(k) = -4*k**3 - 3*k**2 - k - 7. Let x(g) = 3*a(g) - 7*i(g). Determine x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304510673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10070, -38322, -84754, -149366, -232158, -333130, -452282?\nAnswer: -589614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68102 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-8 + 4 + (0 - -4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -6. Let v = 38 - 24. Let q(t) = -t**3 - 11*t**2 - 11*t - 7. Let z be q(-10). Solve -m = -f*s + 5, -2*s + v = -3*m + z*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -20. Solve -3 - 1 = r*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/98 + 100\/(-14). Let i(g) be the first derivative of g**4\/4 - 7*g**2\/2 + 7*g - 1. Let n(w) = -w**3 + 5*w - 5. Calculate c*n(v) - 5*i(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 0 + (-76 - 24 - -115)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b*k - 138778*b - 11950*k wrt k.\nAnswer: -4*b - 11950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43548, 174267, 392156, 697215, 1089444?\n\"Answer: 43585*g**2 - 36*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1.5. Let f = i + 15.5. Let g = f + -18.00001. What is g rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -106\/3 - -36. Which is smaller: w or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*f - 335, 15 - 318 = 5*l + 3*f. Let o = l + 104. What is the remainder when o is divided by (-12)\/42 - 149\/(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*g**2*z**4 + 2225*g**2*z**2 + g**2*z - 1520*g**2 + 2*z wrt z?\nAnswer: -156*g**2*z**2 + 4450*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9372 and 19800?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(15)\/sqrt(3)) + (sqrt(60)\/sqrt(6))\/sqrt(5))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f + 5. Let d(r) = -44*r. What is d(z(h))?\nAnswer: 396*h - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-10)*r**(15\/2)\/r)**(-10) assuming r is positive.\nAnswer: r**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -421, -642, -883, -1150, -1449, -1786?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**4 - j + 5*j**2 - 4*j - 5*j**2 wrt j?\nAnswer: -156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 14*p**2 - 199*p + 38. Calculate k(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50875, -50079, -48753, -46897, -44511, -41595?\n\"Answer: 265*u**2 + u - 51141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) 4 (c) 33.9 (d) -1\/6 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (5 + -1 + 0 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = 20. Let b be (-8)\/(-10)*20\/d. Suppose -7*r = -b*r + v - 29, v + 1 = 0. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698139701 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2498715.54?\nAnswer: -2498714.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123619?\nAnswer: 123619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/116 and 37\/88.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 4*s**2 + s. Let n be y(5). Suppose -j = -3*j. Suppose j = v + 3*v - 24. Calculate the greatest common divisor of v and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/8, 0.03, -2, 2\/15, -1.\nAnswer: -2, -1, 0, 0.03, 1\/8, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66\/45977 or 0?\nAnswer: -66\/45977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(11)*-2*-6))\/(1*sqrt(405)*-2))**2.\nAnswer: 1\/23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21 - 1079 + 84 - 111 - 1295*y - 396 wrt y?\nAnswer: -1295","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/60 + 1037\/(-4)*-7. Let a = -1037 + w. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/290 and 123\/35380?\nAnswer: 35380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 2*sqrt(133)*-2 + sqrt(133))\/sqrt(7).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6032 + -1.1032. Sort z, -54, 1\/4 in decreasing order.\nAnswer: 1\/4, z, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 440, 367, 164, -235, -896, -1885?\n\"Answer: -11*i**3 + i**2 + i + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(891))**2 + 5 - (4 + sqrt(891) + (1 + -1 + sqrt(891) - sqrt(891)))) + (-1*(0 + -6*(sqrt(891)*-1 + sqrt(891))))**2 + 4.\nAnswer: 9*sqrt(11) + 902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-261)*((-176)\/(-14) + -10)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -920 divided by -1131564?\nAnswer: 230\/282891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 26*a\/3 - 25\/3.\nAnswer: -(a - 25)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:49 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 26\/(-4) - (-178)\/4. Calculate the highest common divisor of 86 and y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 39. Which is the smallest value? (a) -2\/29 (b) 2\/9 (c) -2\/13 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = -c + 3, 0 = -5*j - 3*c + 9. Let i = 7 - j. Suppose i*t - 96 = -0*t + 4*w, -4*t - 5*w + 96 = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6642566\/95827875 + 4\/255541. Let b = 11887 + -118989\/10. Calculate the common denominator of b and f.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 + 2*b**2 + 3*b - 1. Let l(j) = 6*j**3 + 3*j**2 + 4*j - 2. Give 2*l(f) - 3*u(f).\nAnswer: -3*f**3 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -6 (c) -2\/11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*g + 4*d, -71 = -5*g + 3*d - 52 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(105\/(-10)))\/(14\/(-91))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p + 153 - 10*p**3 + 0*p - p - 21*p**3 wrt p.\nAnswer: -93*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3660, -3660, -3658, -3654, -3648?\n\"Answer: g**2 - 3*g - 3658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3862 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/2 - 6\/1. Let n(t) = 14*t + 5. Let w(v) = -13*v - 4. Let f(i) = q*w(i) - 4*n(i). Let x(m) = 806 - 806 + 22*m. Give -12*f(o) + 5*x(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 41\/4. Suppose 12 = r + 16. What is the third biggest value in 4, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*b + 2*h, -9 - 6 = 2*b - 3*h. Let m(q) = 4*q**2 - 3*q. Is 10 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6 = 6*j, -5*m = j - 997. Suppose -4*x - 12 = -m. What is the units digit of (1 + x)\/(6\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24311 divided by -17?\nAnswer: 24311\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(-2)))\/d)**5*d*(d*(d\/(d\/(d**(1\/3)*d)))\/d)\/d*d*d\/d**(-4\/5))\/(d*d**(1\/3)*d**(-2)*d**(-4)*d**2) assuming d is positive.\nAnswer: d**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 407 = 338. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-90))\/(9\/(-45)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -279, -3011, -7563, -13935, -22127, -32139, -43971?\n\"Answer: -910*g**2 - 2*g + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131.57 - -129.37. What is the third smallest value in 3\/7, z, 1\/4, -0.3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96117309.\nAnswer: 3, 641, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*b - 3 - 8, -5*f + 4*b - 17 = 0. What is the lowest common multiple of 22 and (-25)\/(f - 0) + -5?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 5*g + 5. Suppose 29*z - 24*z = 40. Suppose 4*p + y - 12 = 2*y, 2*y + z = 4*p. What is the least common multiple of a(5) and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w**2 + 3*w**2 + 3*w**2 - 4*w**2 + 2*w**2 + (-3*w - 2*w + 3*w)*(1 - w - 1) + 23*w**2 + 11*w**2 + 5*w**2 + (3*w + 0*w - 5*w)*(-w - 2*w + w).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*o + 18*o - 3 + 1)*(9 + 23*o - 9)*(5 - 2 - 4)*(-5 + 4 - 2).\nAnswer: 138*o**2 - 138*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*w - 36. Suppose -30 + 24 = 2*t. Let m be t\/w*(-16)\/(-12). Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -38*v + 1. Let i = -18 - -23. Let q(b) = 39*b. Let k(h) = i*q(h) + 4*w(h). Let z be k(2). Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40054263 rounded to two decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 188677 + -143?\nAnswer: 188534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 383576147 - -26.\nAnswer: 383576173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/9155880 and 157\/30?\nAnswer: 9155880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from ffggfwfggzgfffgzfgfg?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 530 - 535. Let f(c) = -c + 1. Let s(v) = 2*v - 1. Let o(i) = -7*f(i) - 4*s(i). Calculate o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 18*o**2 - 21*o + 41. Let r be f(2). Suppose -3*g - 4*g - 364 = 0. Let i = g + r. What is the greatest common factor of 76 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 21*d - 32. Let g be w(-16). Suppose 3*a - 28 = -2*f, g = 5*f - 2*a + 4*a. Solve -4*k = 2*l - 3*l - 8, f = 4*l + 4*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4724 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:42 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*d**2 - 3\/5*d**3 - 1\/5*d**4 + 1\/5*d**5 + 0 + 2\/5*d.\nAnswer: d*(d - 2)*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 426\/210 + (-6)\/14. Let o = -13 + 16. Are o and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -7.84. Let o = -0.06 - x. What is the closest to 1\/2 in 4\/5, -1, o?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*v**2 + 33*v**2 - 21*v**2 to the form a + o*v**2 + g*v and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 60*a + 401. Let m be d(6). Let h(l) = 39*l + 2. Let g be h(2). What is the greatest common factor of g and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 253*m**2 - 4306*m + 519. Determine u(269).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11301952 and 185.\nAnswer: 11302137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/1*-8*(-18)\/(-5). Let i = c + -49. Is 14*5\/((-10)\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rww when three letters picked without replacement from wwrwwr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28047 + -1532?\nAnswer: -29579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 7, -4 in descending order.\nAnswer: 7, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-4)\/(-4)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4527076 (base 11) to base 10.\nAnswer: -7930181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/((-12)\/(-9168)). List the prime factors of 2\/(-9) - q\/18.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 33*l**2 + 419*l**2 - 956*l**2 - 1 in the form n*l**2 + k*l + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 3, o: 3, u: 10, s: 3}. What is prob of sequence sut?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 7*y**2 + 8*y + 7. Let q = 2 + 6. What is the units digit of h(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + r = 19, 4*d - 2*r + 0*r = 22. Let n = 65 - 64. Suppose 1 = 7*x + n. Solve x = -d*f - 18 + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 561.2 + -561. What is the biggest value in -4, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 85 = 70. Let g(s) = -4*s**3 - 5*s - 13. Let f(m) = 2*m**3 + 3*m + 7. Determine v*g(y) - 5*f(y).\nAnswer: 2*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -963*t - 54528 = -951*t. Round t to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4979, -4984, -4999, -5030, -5083, -5164, -5279, -5434?\nAnswer: -5635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597 + 261 - 51*d - 28*d + 6*d.\nAnswer: -73*d + 858","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((-1)\/15 + (-4970)\/4200)*8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -229*z + 2. Let p(d) = 12*d**2 + 5. Give p(s(n)).\nAnswer: 629292*n**2 - 10992*n + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70375377 to the nearest integer?\nAnswer: 8389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703 + p**3 - 703.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.103166125 rounded to two dps?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 5\/4*v**3 - 4*v**2 + 0 - 5\/12*v**4 + 0*v + 1\/24*v**5. Factor g(j).\nAnswer: 5*(j - 3)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**0)**(1\/6)\/((w\/(w\/(w\/w**(-5\/7))*w))\/((w**0\/w)\/w))*(((w**(2\/15)*w)\/w)\/(w\/w**4*w*w))\/((w**1*w)\/w)**(-2\/5) assuming w is positive.\nAnswer: w**(-71\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1005 + 878.1. Let h = 127 + q. Is -8.3 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213534 (base 7) in base 13?\nAnswer: 13ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**4 - 182944*j**3 - 15522648*j**2 - 59712480*j - 44372772 = 0?\nAnswer: -45651, -81, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(2*2\/(-8)). Suppose 5*k = a, -2*s + 7*s - 13108703 = -4*k. Let t = 1821739 - s. Round t to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(6*(-2*sqrt(147) + sqrt(147))*4)**2*2*-1.\nAnswer: 2032128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1642 + 1659.5. Which is the smallest value? (a) 1 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 111 - 324*d + 387*d**2 + 89\/3*d**3 + 5\/8*d**4. What is r in a(r) = 0?\nAnswer: -18, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822500 is divided by 369.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 + 2*c**2 + c - 1. Let v be w(-1). Let s(n) = -13*n + 39. Let i(a) = 6*a - 20. Let y(f) = v*i(f) + 3*s(f). Does 16 divide y(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**2 + 31*n + 22. Let p(v) = -3*v**2 + 11*v + 7. Let s(d) = 6*i(d) - 17*p(d). Let t(f) = 4*f**2 + f - 19. Calculate 7*s(w) + 5*t(w).\nAnswer: -w**2 - 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let m = -455270299 + 455270301.00000007. Let r = m + q. Round r to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -11*y - 3\/10*y**3 + 0*y**4 + 3\/100*y**5 - 3\/5*y**2 + 0. Factor n(j).\nAnswer: 3*(j - 2)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 11 + 0 + (8 - 15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/210 - 5*k**4\/84 - 2*k**3\/3 + 73*k**2. Determine l, given that b(l) = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 72. Let t(c) = c**3 + 12*c**2 - 29*c + 18. Does 8 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 120147422?\nAnswer: -120147427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-296)\/5 - (-4 - (-38)\/10). Let c = y + 123. Suppose c + 81 = -5*m. What is m rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 4 (c) -0.4 (d) -35 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -140.67, 2\/15, -0.1, 0.5, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 1. Suppose -f = 2*y - 4*f + 6, 0 = -3*y + 4*f - 9. Let n(x) = -2*x + 3. What is y*l(r) - n(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518460 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 5*s = 2 - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000555167 rounded to seven decimal places?\nAnswer: -0.0000555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319.113 hours in seconds?\nAnswer: 4748806.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 32484, 6, -15 in descending order.\nAnswer: 32484, 6, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/60 - 27*j**2. Let y(w) = -39*w. Give u(y(a)).\nAnswer: -1521*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54\/8 - (-4)\/16. Let c = a + -5. Let s = -6 + 12. Calculate the smallest common multiple of s and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3803 and -444219757.\nAnswer: -444223560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4 + (sqrt(343) - (0 + sqrt(343))) + sqrt(343) + 0)*5*-4)**2.\nAnswer: -22400*sqrt(7) + 143598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 9 - 57 = 0. Let v be 3 + (-6)\/2*1. Solve 3*a - 3*i - q = v, -i - 12 = -2*a - a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 208, 371, 536, 703, 872, 1043, 1216?\n\"Answer: h**2 + 160*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37560 and 432.\nAnswer: 676080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7321 is divided by 2437.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 + 892\/6. Let i(g) = 2*g - 15. Let f be i(10). Suppose -f*a = -247 - h. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.932 + -23. Let r = d + -0.432. Is r >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63*(-290)\/9744)\/(18\/32)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**2*u**2*y**2 + 3*g**2*y + 122*g*u**2*y**3 - 217*g*u - 2*u*y**3 wrt u?\nAnswer: -10*g**2*y**2 + 244*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y**4 + 688*y**3 - 9628*y**2 - 6728*y = 0 for y.\nAnswer: -2\/3, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 2\/(-25) - 3971\/(-550)*14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-8 - -19) - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 283*i + 2002. Calculate the remainder when 1475 is divided by j(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2674, -2673, -2670, -2665, -2658, -2649, -2638?\n\"Answer: k**2 - 2*k - 2673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-70) + 1 + -2. Let f be 84\/24*2*7\/539. What is the second smallest value in -1\/3, 0.4, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -20) + -13 + -47 + -32 + 25?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8 less than 7310089097?\nAnswer: 7310089105.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*z = -5, -159553*s + 159557*s + 2*z + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*k**2 + 170*k - 40.\nAnswer: 5*(k + 4)*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 9 (c) 9765\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/135 and 43\/20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 175\nAnswer: 109\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1222, 1237, 1276, 1351, 1474, 1657?\n\"Answer: 2*x**3 + x + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d - 4*s = 23, 2*d + s = -7. Suppose -3*p - 5 - 1 = 0. Sort p, d, 0.\nAnswer: p, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -68. Let c(k) = -6*k**3 + 3*k**2 + 3*k. Let n(y) = -5*y**3 + 2*y**2 + 2*y. Determine h*n(z) + 2*c(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*b - 23 + 23 to v*b + q and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-69 - (12 - 40))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-8)*-2*(19 + -7). What is the closest to 2\/7 in 0.4, j, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3256, 3055, 2854, 2653, 2452, 2251?\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 187, -9\/5, 21\/10?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4546979 and -4.\nAnswer: -4546983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 11. Let k be v(17). Suppose k*z = 12 + 12. Suppose z*s - 132 = -o, -o - s + 58 = -74. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1108570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 10*c**3 - 9 + 12 + 4*c**3 + 3*c**3 - 5*c**3 + (-2*c**3 + 3*c**3 - 3*c**3)*(-2 + 4 - 1) - c**3 - c**3 + 0*c**3 + 3 - 2*c**3 - 3.\nAnswer: -11*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 834 by -6.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12844 and -61\/1512?\nAnswer: 4855032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 6 - 44 = 5*w, -14 = 2*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167 + 1037. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-4) - (-495)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10021*a - 9951*a + 980 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25529 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/36960 and 37\/24?\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35581245 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69697129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -8. Let m(w) = -166803*w - 2. Let i be m(z). Let r = i + -457619. What is r rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Suppose a + 39 = h*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6107666 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (18 + -21 - -16)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -436040 divided by 4?\nAnswer: -109010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -1311.\nAnswer: -1311, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 132674?\nAnswer: -79604.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 200*h + 8701. Let a be i(-64). Suppose 4*n + 31 = 87. Put n, a, -2 in decreasing order.\nAnswer: n, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + 1*sqrt(180)) - (sqrt(30) - (sqrt(30) + sqrt(120)\/(2*sqrt(4))))\/((sqrt(726) - (sqrt(726) - -2*sqrt(726))) + sqrt(6)).\nAnswer: -757*sqrt(5)\/42 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18184603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 224.26449365 and -25.\nAnswer: 199.26449365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 10*h = -101 + 173, 4*h - 80 = -6*r + 10*r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllhlhlllllllvhllvll. Give prob of sequence lvh.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.64 - 0.899. Let d = 0.009 - j. Round d to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 + 34. Let g = 5.5 - 6. Let p be 8\/(-12) - 77\/(-165). Which is the third smallest value? (a) p (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 358\/13?\nAnswer: 358\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-63))\/((-49)\/168).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22201210 - -1120?\nAnswer: -22200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004052 to 6 decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5))**(-2\/3))**(4\/7) assuming h is positive.\nAnswer: h**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - 27 - (-1 + -2 + -1) - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15422*m - 15395*m + 135 = 0. Sort 1, -4, -3, m, -16.\nAnswer: -16, m, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(252) - (-2 + sqrt(252))*4 - sqrt(252)))**2 - (-5 + sqrt(252) + -1*sqrt(252) + sqrt(252) + 0 + -5)**2.\nAnswer: -1416*sqrt(7) + 16032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000057278 to 7 dps.\nAnswer: -0.0000573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c323 (base 14) in base 13?\nAnswer: -269a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 11*t**2 + 7*t - 18. Let s be k(-10). Suppose -2*i - s*i = -2450. Suppose 3*m = 41 + i. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (209\/(-44))\/19*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 = -a - 2059. What is the tens digit of a\/(-35) - (-4)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35367 divided by -15018\nAnswer: -11789\/5006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9. What is the closest to 3 in x, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 278*q - 279*q + 12, 2*q - 19 = -5*x. Solve -x*r - 9*l + 10 = -14*l, -3*r - 5*l = 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18547)\/(-3740) - (20 - 9 - 876\/80)?\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*sqrt(156) + sqrt(156)))\/sqrt(12).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-36) + 75\/18. Let s be 124\/(-20) - p\/5. Sort 0, s, 2 in descending order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p + 13. Calculate y(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:55 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 4. Let h be p(-2). Find the third derivative of 125*r**2 + 58*r**3 - h*r**4 - 104*r**3 + 0*r**4 wrt r.\nAnswer: -48*r - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-28) + 2\/8. Let g be 0\/((2 - 0)\/k). Solve g = 3*v - 3*m - 18, -5*v - 24 = 4*m - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -0.5. Let o = 659 + -658.5. Which is the nearest to -1? (a) o (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 + 201. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i + 1. Let w(c) = c. Calculate -3*l(m) - 24*w(m).\nAnswer: 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiykkyikkykkikykkzv. Give prob of picking 1 i and 1 k.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525353.8ml to litres.\nAnswer: 525.3538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -799*r**2 - 2214 wrt r?\nAnswer: -1598*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5716747 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30 * -1508\nAnswer: -45240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 23 = 4*p - q, -4*q = -2*p - 8. Suppose p = 11*i - 10*i. Suppose -2*a = -a - i. Calculate the smallest common multiple of 2 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + 1 - (38 + -78 + 41).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 81. Suppose 0 = -8*o - 2 - b. Suppose -2*y = -3*m - 5*y - 6, -5*y + 5 = 0. Put m, o, 0 in increasing order.\nAnswer: o, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5 + 16\/1360*1751.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37056011*v**3 + 2*v + 237219930 wrt v.\nAnswer: -111168033*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 + -382. Let i = a + 282. Calculate the smallest common multiple of 99 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -26 + 38. Let f be -4 + i\/(-102) + (-66)\/(-17). Solve -4*l - l + 10 = f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 36*g - 64 = 0, 2*z + 29 = 6*z - 30*g + 29*g for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 95 = 3*u, -u + 55 = -4*u - 4*i. List the prime factors of -1 + (-2 - u) - 2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7612\/5 + -1517. Let j = u + -231\/40. Let f = j - -55\/104. Which is the closest to 0.1? (a) 4\/5 (b) f (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*j + 29141, j = -0*j - 5*b + 14578. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 6*h**2 - 20*h - 28. Suppose -5*b - 11 - 29 = 0. Let j be z(b). Solve 7*o + 3 = j*d + 2*o, 5*d + 3*o = 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7749 and 18?\nAnswer: 15498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -8.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -4 - -9 - -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*v**2 + 13955214*v - 130350751 wrt v?\nAnswer: -10*v + 13955214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 4\/9, 0.2, 0.176 in decreasing order.\nAnswer: 4\/9, 0.2, 0.176, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100 (base 6) in base 7?\nAnswer: 10443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00387282213 to seven decimal places.\nAnswer: -0.0038728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5650, -0.4, 0.5, 31\/3?\nAnswer: 5650","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3\/6 - 13*h**2\/2 - 14*h. What is the units digit of u(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4743.32 hours?\nAnswer: 17075952000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 411*f**2 - 188*f - 6. What is the units digit of b(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1. Let o(h) = -6*h - 10. Let u(m) = 4*d(m) + o(m). What is the remainder when 93 is divided by u(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -163. Calculate the remainder when x is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Let z be 16\/(-7) + 8\/28. Let w = 2 + z. Solve q*r = -w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 - 837\/7. Let h be (8064\/3072 - 9\/(-12)) + 1\/(-8)*3. Solve 2\/7*t**h + 0 + 8\/7*t - a*t**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/((-5)\/(-10)). Let z be 1\/u + 20\/12. Let r(s) = 7 - z*s - 7. Let b(j) = 5*j**2. Calculate r(b(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-4 - -1))\/(-2 + 1). What is the second derivative of 49*d**2 + 49*d**2 + 21*d + 5*d - 105*d**r wrt d?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y, 737*g - 12870 = 732*g + 2*y. What is the greatest common factor of g and 1386?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 15 = 1. Let i = -10 - h. Calculate the lowest common multiple of i and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 139, 540, 1211, 2152, 3363?\n\"Answer: 135*l**2 - 4*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546 divided by -6.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25722 = 48*a - 25914 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4 + 3 - i - 1 - 3. Let j be g(-2). Solve -j*z + 16 - 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 820.7 - 827.7. Sort -0.3, -0.1, 0.4, q, 5.\nAnswer: q, -0.3, -0.1, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = g - 3*g - 2, -3*g + 2*a - 23 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4 - 175*j**3 + 15279*j - 14281282 wrt j.\nAnswer: -8*j**3 - 525*j**2 + 15279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -109.28, 2, 5, -0.128?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1311 divide 4334062059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 + 4*d**2 + d - 3. Let z be h(-2). What is the common denominator of (-1)\/(-14)*-11*(-27 - z) and (-13)\/(-33)*(-3 - 0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 29*d**7\/42 + d**5\/60 - 365*d**4\/24 - 247*d**2. Find the third derivative of l(w) wrt w.\nAnswer: 3480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -3*i**4\/4 - 2*i**3 + 21*i**2\/2 - 12*i - 3. Find r, given that g(r) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24223115 (base 6) to base 4.\nAnswer: -2322312113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*y + 38*y + 74*y**2 - 2*y**2 + 2*y**2 - 5*y**2 + (-1 + 5 - 3)*(0 + 0 + y**2).\nAnswer: 70*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 158718.\nAnswer: 158718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-24) - 8\/(-6). Let h(g) be the first derivative of 1\/5*g**5 - 3*g**2 - 9*g - 3 + r*g**3 + 3\/2*g**4. Factor h(l).\nAnswer: (l - 1)*(l + 1)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 168, 3\/8, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42004 - 20749. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9564253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 83. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 1260*j**2 + 20192*j + 21456.\nAnswer: 4*(j - 298)*(j - 18)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339 - -331. Let j be (5 - 3 - -3) + d. Put 0, 34, j in descending order.\nAnswer: 34, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3048 (base 9) to base 2\nAnswer: 100010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539 = -88*l + 253 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71223624 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 14*h**2 - 35*h - 44. Calculate g(-10).\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - h**3 - 2*h**3 + (-3*h**2 + h**2 + 3*h**2)*(4*h - h - 4*h) + (-4*h + 5*h - 2*h)*(9*h**2 + 68*h**2 - 20*h**2).\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 0 + 0)*(-1 + 0 + 2) + 4 - 4 - 4*j)*(j - 3*j - 33 + 27).\nAnswer: 12*j**2 + 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -72. What is the nearest to 1 in -5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w. Suppose -3*t + 8*t - 25 = w. Suppose -5*v = -t, i - 94 = 2*v - 31. Calculate the remainder when i is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -140*x + 430. Let n be s(3). Calculate the greatest common factor of n and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p - 38. What are the prime factors of r(-11)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45200979 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 8) to base 6\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -457 + 479. What is the highest common factor of u and 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (-4 - -4 - 3). Is 3 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -4, 15\/3767, -0.04, 0.5, -4\/3?\nAnswer: 15\/3767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213110 + 31534?\nAnswer: -141132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 32.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 23, 13, -126, 0 in descending order.\nAnswer: 23, 13, 0, -9, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(475) + sqrt(475))**2*6 + (sqrt(475) + -1 + sqrt(475) + -3)**2).\nAnswer: -13322 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -27*k - 282. Let v be f(-11). Solve -h = -3*q - 9, 0*q - 5*q - v = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 145382893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -1)*20\/3. Let m be 4\/q - (-309)\/(-5). Let o = m + 680\/11. What is the closest to 2\/7 in 0.5, 3, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/257008 and -31\/208?\nAnswer: 3341104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.046.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from rqriq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*-2*sqrt(275) + ((sqrt(275) - 4*sqrt(275))*6 - sqrt(275)))**2*6 + -4.\nAnswer: -1113754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/5 - (-2)\/(-10). Suppose -415 = -5*z + 6*x - 8*x, -250 = -3*z - x. Let b(u) = 41*u - 5*u**n + 44*u - z*u. Let p(s) = 3*s**2. Determine p(b(g)).\nAnswer: 75*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 4 = 14*m. Let v be (-5 - m)\/(-8)*-6. Let n(w) = 4*w**2 - 5*w - 8. Let j(h) = -h**2 + 1. Let o(c) = 6*j(c) + n(c). Determine o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n. Suppose n = -2*g + 6*g. Suppose -5*b + 0*j = -2*j - 111, -3*b - 5*j + 48 = g. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + w - 1. Let u(y) = -4*y**2 + 4*y - 9. Let r(o) = 3*g(o) - u(o). Suppose 0*i + 2*i = 0. Let c be r(i). Round c to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5 - 756*w**4 - 35740*w**3 - 67720*w**2 + 35742*w + 68476 = 0. Calculate w.\nAnswer: -323, -53, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4474*o = -4468*o - 8076. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73446235 a multiple of 1518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 34. What is the nearest to 3 in 4, t, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-10) - (-4)\/(-40)*16. Let u(s) = -1539*s. Let l be u(n). Is (-2)\/4 - (0 + l\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11581?\nAnswer: 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 2*x)*(3*x + x**2 - 3*x) + (-3*x + 5*x - x)*(-4*x**2 + 2*x**2 + 4*x**2).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22991500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6270 divided by 66\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.7 + -6. Let i = j - 0.2. Put -5, i, -4 in ascending order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 151\/4 in -4, -0.4, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62935848?\nAnswer: 2, 3, 874109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 22*x**2 + 21*x + 9. Let f be d(-21). Let u = -4 + 1. Is u\/f + 574\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - 2a05?\nAnswer: -2a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 4) to base 2.\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30035 - -31663. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 1042003324231?\nAnswer: -1042003324232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**2 + 8*n + 13. Let k(y) = -1. Let h(o) = 24*k(o) + 3*u(o). Let g(q) = -2*q. Give h(g(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2553046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a99 (base 14) to base 15.\nAnswer: 7e11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-18 - (-21 + -20) - (5 - 13))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42130334 (base 5) to base 15\nAnswer: 6d564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1813*r + 19425. Let l(s) = -2718*s - 29140. Let t(k) = 5*l(k) + 8*n(k). What is the first derivative of t(u) wrt u?\nAnswer: 914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 20. Let b be x(-4). Suppose -4*h = 5*p + 29, -p + 3*p - 3*h + 7 = b. Put 7, p, 1, 0 in increasing order.\nAnswer: p, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/11*x - 10\/11*x**2 - 8\/11*x**4 + 0 - 16\/11*x**3 = 0. What is x?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2136\/27 + 2 + -20*(-166)\/3735\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 6*n + 12*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105280 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3469183422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4004524 is divided by 2002249.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11ba + a0?\nAnswer: 129a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1728)\/1404)\/((-3)\/(-3042)*-13).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(26\/(-6) - 3\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4.5 (b) 1\/5813 (c) -5 (d) -5\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -323*g - 5*g**2 + 11*g**2 + 12*g**4 - 12*g**4 + 30*g**5 - 4*g**2 wrt g?\nAnswer: 600*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120202 + 1022200210020?\nAnswer: 1022200012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 4, 5, -1, -12, -14 in descending order.\nAnswer: 77, 5, 4, -1, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*t + 3 = 0, -9*t - 3 = -j - 8*t. Let u be 4\/1 + j*(-4)\/(-3). Suppose u*h - 604 = 4*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u - 166. Let o be h(16). Let m(j) = -o*j**2 + 0 + 8*j**2 - 2 + 2. Let b(l) = l + 1. Let t(q) = 10. Let s(n) = -10*b(n) + t(n). Calculate m(s(a)).\nAnswer: -200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 17.1. Suppose 0*d = d - 1. What is the nearest to d in i, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = 0, -4*w + 501 - 37 = -5*x. Let c be 14\/(-119) + w\/17. Suppose 20 = -c*n - 1. Which is greater: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -12. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 10) in base 16?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 152 + 1.9006\nAnswer: 153.9006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1\/3*o**2 - 1\/9*o**4 + 5\/18*o**3 + 1\/60*o**5 + 0 - 7*o. Suppose h(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 9. Suppose b - o*b + 10 = 0. Put b, 0, 2 in decreasing order.\nAnswer: b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16067 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558208 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: Calculate 7*-1.8017638.\nAnswer: -12.6123466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 + 105*h**2\/4 + 575*h\/2.\nAnswer: -h*(h - 115)*(h + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/(-6))\/((-175)\/20 - -8). Suppose -105 = r*t + 33. Sort -4, t, -2 in descending order.\nAnswer: -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -7*r**5\/60 - r**4\/8 - 1110*r**2. Let y(a) = a**2. Give y(f(s)).\nAnswer: 49*s**4 + 42*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4307? (a) 0.5 (b) -0.1 (c) -2 (d) 2\/9 (e) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/4 - 5387*n\/4 - 92735 = 0.\nAnswer: -68, 5455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 1. Let y(l) = -1633*l - 781. Determine -1562*p(c) - 2*y(c).\nAnswer: 142*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alejo. Give prob of picking 1 a, 1 l, and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1821 + 3883 - 137 - 535 + 1676)*(f - 2*f + 4*f).\nAnswer: 20124*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -2\/3 (b) -2\/9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293140 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 77, 0.1, -5, 0.4?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + sqrt(847) + 1 + sqrt(847) + -2)**2 + -2.\nAnswer: -20426 + 1056*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1771068um to millimeters.\nAnswer: 0.0001771068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2\/564248963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/44)\/((-52)\/286)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j - 1. Give h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7292, -7291, -7290, -7289, -7288?\nAnswer: -7287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*q + 24. Let f = 219 - 138. Suppose -5*w + 385 = 5*n, 3*w = 2*w - 5*n + f. Calculate the lowest common multiple of w and q.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 4653?\nAnswer: -465.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -323*s**2. Let o(x) = 30*x**2 + 19*x - 38. Let n(h) = -13*h**2 - 8*h + 16. Let z(a) = -19*n(a) - 8*o(a). Give t(z(p)).\nAnswer: -15827*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3814 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1206 divide 3203928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1973593763 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0, -4, 17523, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149376880619 less than -1.51?\nAnswer: -149376880620.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -2. Let q be 182\/(-42) - 220\/(-66). Let h = -221\/4 - -55. What is the closest to -2\/5 in g, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*(x\/x**(-13))\/x*x)**(-3) assuming x is positive.\nAnswer: x**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/7536678 and -73\/712929.\nAnswer: 52756746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)*(7 - 4). Let o(d) = -d**2 - 19*d + 3. Let j be o(-12). Suppose -3*r + j = -a. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -5 + (108 - 91) + (6 - 10 - 15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -4 (b) -3 (c) -0.3 (d) -0.052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11300 + 20?\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36, 3, -0.07905, -1, 70?\nAnswer: -0.07905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 404 + -403. What is the lowest common multiple of (4 + -3)*16 + (1 - d) and 54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1007, 1005, 1003, 1001, 999?\n\"Answer: -2*h + 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/3, 0, -1.\nAnswer: -1, -2\/3, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 32, 82, 156, 260, 400, 582, 812?\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05872 in -5, 20, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43780 and 92675693.\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 2\/3*x**2 - 2\/3*x**4 - 1\/6*x - 1\/6*x**5 + 0.\nAnswer: -x*(x + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575) - sqrt(1575)*-1*1)\/(-6*sqrt(144) - (sqrt(36)*1)\/sqrt(4)))**2.\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, t: 4}. What is prob of sequence vtv?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 h when four letters picked without replacement from zttthhhctchtththcc.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -45bd500?\nAnswer: 45bd4fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 1*(-4)\/2. Let z(o) = o**3 + o**2 - o + 11. What is the tens digit of z(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -22. Suppose 0 = 66*s - 278 - 580. Let g be p + s + 2 + -5. Solve g*u + 25 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 and 113\/186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14346 = 4*c - 14366 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -92.2. Which is the second biggest value? (a) 3 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -2 - -1 - 0. Suppose 7 = -v*z + z. Factor z*t**5 + 8*t**2 - 13*t**3 - 3*t**3 + 11*t**5 - 6*t**4.\nAnswer: 2*t**2*(t + 1)*(3*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14529250 or 14529245?\nAnswer: 14529245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c**5 - 1094*c**4 - c**3 - 978408*c**2?\nAnswer: 1080*c**2 - 26256*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 51 - 30 - 6*c)*(-74*c + 46*c + 47*c).\nAnswer: -19*c**2 + 399*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117)*-2 + -2 + (sqrt(117) - (0 + sqrt(117))))**2.\nAnswer: 48*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.105 - -7.006. Let y = 0.111 - c. Sort -3\/7, y, 0.2, -4 in descending order.\nAnswer: 0.2, -3\/7, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -9. Let u be (-62)\/h + (4 - (-75)\/(-18)). Let a(b) = 2*b - 5*b + 10 + 2*b. Calculate a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y**2 + y**4)*(-2 + 2 + 4011*y + 4735*y - 6680*y).\nAnswer: 2066*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.07160936 rounded to 1 dp?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11766109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12012 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 200800, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32624*24.\nAnswer: -782976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwwhlccbhzczlczb. Give prob of sequence wzcl.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52660 + 51888.184. Let d = 768 + v. What is d rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595389 is divided by 2222?\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19277 - 19277 + 249*f to the form j*f + y and give j.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05735 to three decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from zzzbzzb?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000247256711 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjjjjjjjjjjjjjjjjj. What is prob of picking 4 j?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 11*i - 45. What is the units digit of z(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2704, 7307, 11924, 16561, 21224?\nAnswer: 25919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**3\/3 + 10*k**2 - 75*k + 36. Let x be l(14). What is the highest common divisor of x and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**2 - 1 + 1 + 120*b + 121*b - 241*b.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/23, 3, 16, 0.4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 12:43 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8966723 divided by -12647\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + 0. Let i = 3 - -1. Let k be i\/(-14)*(-1)\/1. What is the closest to k in 0.5, 2\/23, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 2\/3*y**3 + 74\/3*y**2 - 68\/3*y = 0. Calculate y.\nAnswer: -1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(7605\/(-4888)) + -25?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + c = 2231, f + 9*c - 1105 = 5*c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 3*f**2 + f + 2. Let c be p(3). Let -5*r**5 + 24*r**3 + 9*r**4 - 4*r**5 - 18*r**c - 12*r**2 = 0. What is r?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36 and 380.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -7) + (2 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcc when three letters picked without replacement from cbscskcckksbkkkbsk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2368844400 rounded to the nearest one million?\nAnswer: -2369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 31. Suppose q = -l - 0*l + 5*n + 29, -3*n = -2*l + 23. Find the third derivative of -2*p**4 + 4*p**2 - l*p + 4*p + 9*p**4 wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(0 + -3 + 1). Let o = s - -6. Suppose 5*h = -0*h + o. What is the third smallest value in -5, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/5 - 8*s\/5 - 8\/5 = 0. Calculate s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 20010, 65 in increasing order.\nAnswer: -44, 65, 20010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -40*i - 47. Let p(k) = 32*k**2. What is m(p(t))?\nAnswer: -1280*t**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 419 - 411. What is the highest common divisor of i and 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(1\/4))\/s)**(-1\/2)*(s\/s**6)\/s*(s\/(s*s**(1\/3)))\/s*s*(s\/s**(-1)*s)**(4\/7)*(s*s*(s\/s**0*s)\/s*s)\/s**(1\/4) assuming s is positive.\nAnswer: s**(-251\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 364 and 87714\/241 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7038*a = 7278*a - 2880 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 258 + 262. Let c = 89 + -63. What is the highest common factor of c and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 71.45\nAnswer: 35.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, 7\/5 in increasing order.\nAnswer: 7\/5, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/4, -39, -7, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgeiegsgce. What is prob of sequence gg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-12))\/1*-6. Let y be p\/9 - 14\/(-18). Let q be (0 + 2\/(-21))*3. Which is the third biggest value? (a) -5 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778*j - 777*j - 10905 = 0. Is j a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707794601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35051 = 3*l - 5*x - 10080, -60188 = -4*l + 4*x. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028731577 rounded to 7 dps?\nAnswer: 0.0000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000025578439 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-66)\/(-11))\/(1\/(-5)). Let z be 56 - -3*(1 + -2). Let r = t + z. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 315792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**3 - 9 + 5*g - g**2 + 6 - 39*g**3 - 16*g**3 - 7*g**3 to the form z*g**2 + b*g**3 + p*g + y and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**(3\/4)*f*f**2*f*f*f**0*f assuming f is positive.\nAnswer: f**(93\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6087 is divided by 219.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 55+0.54\nAnswer: 55.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let w(x) be the third derivative of 41*x**5\/60 + x**2. Calculate w(j(a)).\nAnswer: 164*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23072*m - 46146*m - 3*m**3 + 7*m**3 + 23074*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Let j(d) = 2*d**2. Let s be j(1). Let i be (-3)\/6 + s\/8. What is the third biggest value in -0.3, i, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 9*b = 11. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513775953?\nAnswer: 47, 32207999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/3963 and 79\/90.\nAnswer: 118890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 8*n**2 - 3*n. Suppose q + 2*u = -30, 0*q - 3*q - 84 = 3*u. Let s = q + 18. Is a(s) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 5*h + 2. Let x(t) = t**2 + t. Let i(n) = 3*x(n) + y(n). Let m be i(2). Differentiate -146*k**4 - m*k**2 + 157*k**4 + 2*k**2 + 6 wrt k.\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, b: 5, r: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(4)\/sqrt(2) + -4)*6)**2.\nAnswer: -216*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/44)\/(12\/(-22)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2438783?\nAnswer: -1\/2438783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3196*d - 102795 = -259*d for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d. Let c = 33 - -27. Suppose -5*t = -11*t + c. Let y = -15 + t. Calculate p(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**2*q*q*q\/(q\/(q\/(q*q*q\/q**(-3)))*q))\/(q**(-1))**(-1\/27) assuming q is positive.\nAnswer: q**(-28\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26307 is divided by 3751?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2907*m + 8 = 2910*m - h, 2*m = -3*h + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4053)\/12495 + 42\/119.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4718 and 4718 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -794 - 550. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 28593354?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*2)**2*-1 + (sqrt(605) - (sqrt(605) + (sqrt(605)*1 + sqrt(605))*-6 - sqrt(605))) + 5.\nAnswer: -2415 + 143*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -36.17 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 24 = -3*c, -2*b - c + 10 = -1. Let h(o) = -3 + b + o. Let g(t) = -246 - t + 246. Calculate g(h(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81211 is divided by 6730?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 1.373689.\nAnswer: -1.626311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14940 and 193860.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 2. Let n = 1 + 4. Suppose -n*j + 2*a = 27 + 13, -15 = 5*j + 3*a. Let s be b(j). Solve 3*r - s = -19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r - 8 = 0. Suppose 3*p + q = -r*q + 19, 2*p - 5*q = -4. What is the second derivative of -3*j**p + 3*j**3 - 2*j**5 - 2*j wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11206483073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689960013.\nAnswer: 3, 41, 5609431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65690082365\/3597 + 18262464. Let t = -4570 - -1494389\/327. Let z = m - t. Put z, 2, -4 in decreasing order.\nAnswer: 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1699 and -421 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*653.8884.\nAnswer: -3269.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f1 (base 16) to base 3.\nAnswer: -22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from lyhhlhfhllhllhhhh?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/24*2556\/(-5751).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 + 7*y**2 - 23*y**2 + 2*y + 2 + 2*y**3 + 9*y**2 in the form a + o*y**3 + h*y**2 + u*y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1)\/u*u)**(-2)\/(u**(2\/5))**0*(u\/(u*(u\/(u*(u\/u**1)\/u))\/u))**(-1\/35)*(u*u**(1\/2)*u)**(-9) assuming u is positive.\nAnswer: u**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2753051 is divided by 1151?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*p**5 - 18*p + 3.\nAnswer: 2920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 94. Let u = r + -46. Solve -u*b + 4*b = 2*l + 8, 0 = b + 3*l + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 66, -0.3, -9\/4822?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23535 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + ((-51)\/(-3) - (-4 + 3)). What is the greatest common divisor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 12. Let h be (30\/(-56) + 20\/70)*-12. Suppose 0*q - h*q - 2 = -w, -3*w + 17 = 2*q. Sort m, w, -3 in decreasing order.\nAnswer: w, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3456 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 166205 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from gbjtk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17304 (base 10) in base 6?\nAnswer: -212040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/3*(-10)\/(-25). Let c be ((-4)\/o)\/((-8)\/180). Let k = 17 - c. Solve k*t + 8 = -3*n + 6*n, 4*t - 4*n + 12 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317701.\nAnswer: 317701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.094272657+-5\nAnswer: -5.094272657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1266?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -166 (b) -0.2 (c) -10 (d) -1 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*i + 9*i**4 - 3*i - 4*i - 8*i wrt i?\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21\/5818 + -211265\/302536. Calculate the common denominator of c and 25\/572.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 4*l - 5. Let w(n) = 3*n + 4. Let k(x) = 3*c(x) + 4*w(x). Let r be k(-1). What is the units digit of 1 - (6\/r + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 62 = 51*f. Solve -z - 5 = j, -f*j + 0*j + 4*z + 14 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -172, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/444 and -149\/888?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/(2\/(-18)). Let g(d) = d**3 - 2*d**2 + 4*d + 1. Let v be g(k). Suppose 5*z - q + 4*q = v, 4*z + 4*q - 24 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 1. Let k(w) = 30*w - 18. Let t(r) = 13*r - 8. Let p(v) = 4*k(v) - 9*t(v). Let y(n) = -2*f(n) + p(n). Let m(s) = 2*s. Calculate m(y(d)).\nAnswer: -6*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/19005 and 117\/146009080.\nAnswer: 438027240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**2 - 11*n + 1. Let y(s) = 6*s**2 + 5*s. Let u(c) = 6*c - 207. Let p be u(33). Give p*y(z) - 4*a(z).\nAnswer: -2*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.01 + -70.01. Suppose -3*a + 3 = -3. Let c = a + 2. What is the closest to 7 in b, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1700) + -1)**2.\nAnswer: -20*sqrt(17) + 1705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**3 - 2 + 5*p**3 + 1 to u + s*p**3 + h*p**2 + r*p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.203 - -0.297. Let l(j) = -j**2 - 4*j + 3. Let q be l(-4). Let y = 2 + -2.4. Which is the fourth smallest value? (a) y (b) -3\/4 (c) q (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34591869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 14 = 2*a + 2*k, -4*k - 16 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295*o**3*p - 4*o**3 - 1105*o**2*p - o + 2*p wrt o.\nAnswer: -1770*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*z - 19 = 0, -3*b + 0*b + 15 = 3*z. Find the second derivative of -c**3 + 0*c + 0*c + 3*c**b + c wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 17 = w - 4*w, 15 = -5*w. What is the derivative of 38*d**4 - 95 - 9*d**3 - 64*d**4 + 9*d**3 - 73*d**y wrt d?\nAnswer: -396*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 5*m + 155, 35 = 646*n - 1260*n + 607*n - 2*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 - (4 - (-23)\/((-322)\/56)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -676, -1591, -2830, -4381, -6232?\nAnswer: -8371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2507 = 3*t, -23*t = 3*i - 21*t - 1881. What is the remainder when i is divided by 309?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 1\/3*v**4 + 0*v + 0*v**3 + 11*v**2 + 0 - 9\/20*v**5. What is the second derivative of s(h) wrt h?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4))\/(w**(2\/3)\/w)*(w*w**(-5\/2)*w)\/(w**3\/w)*(w*w**(2\/3)*w**0)\/(w**(2\/5))**(-44) assuming w is positive.\nAnswer: w**(221\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.6 + 9.6. Which is the third smallest value? (a) -2 (b) -2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5760 and 64320.\nAnswer: 385920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81905410?\nAnswer: 2, 5, 31, 264211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y + 0*y)*(-176*y - 6078 + 6078) - y**2 + 2*y**2 - 2*y**2 + (-y - 1 + 1)*(-y - 2*y + y).\nAnswer: -351*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/444 and 31\/246864?\nAnswer: 246864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by (-18)\/12*4\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = -5*q + 4*t, 0 = -5*q - 4*t + 12. Suppose q = 4*w + 20, w + 4*w + 137 = a. Is 28 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 5*v - 1. Let h be o(6). Suppose 2*f + 2 = -5*a, -3*f + h*a = 34 - 6. What is the units digit of f\/1*552\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 6122200.\nAnswer: 6122200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 6*a**2 + a + 7. Let r be t(-6). Let i be -2 + 5 - (1 + 1). List the prime factors of (1 + 1)*r\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 19 = -1. Suppose -p + 9 = 4*w. Let f be (4 + (w - 3))*6\/2. Solve 0 = 2*d + 4 + f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.012 + -0.01200098. What is k rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 429.3804 * -0.03.\nAnswer: -12.881412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -4 + 2 - -12. Let u be (-18)\/8 - (-3)\/12. Let c be u\/7 - 387\/(-7). What is the highest common divisor of c and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-40) - (-99)\/24. Suppose 5*t - 4638 = -p*h, t + 3*h - 921 = -0*t. Suppose -2*a - 3*d = -2*d - t, -918 = -2*a - 4*d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 350525?\nAnswer: 350532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 10:38 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m. Let d be m + (2 + -2 - 0). Let z = 60 - d. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 4:20 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**3\/3 + 5*g**2 - 12*g + 1. Suppose -5*k = 2 + 13, 5*k = -2*c + 1. What is the units digit of m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119 + 115. Are i and -1\/35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 times -27175.2\nAnswer: 2119665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10146 = 4*v - 17934. Suppose -21*r - v = -34*r. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*a + 658752 = -108*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 51*q - 298. Let z be f(5). Solve h = -2*h + 4*t - 11, z = -5*h + t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(-2*w - 1 + 1) - 5*w + 12*w - 26*w)*(7*w - 5*w + w).\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 3 + 10*k**2 - 20*k**2 + 4*k**2.\nAnswer: -3*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbeooeeol. Give prob of picking 2 o and 1 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + h - 14. Let l(i) = i**2 + 12*i + 10. Let n be l(-10). What are the prime factors of y(n)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262 and 16518838?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 2 (b) -300 (c) -0.0278\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, b: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 greater than or equal to 1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 75 = -3*x, 2*r - 3*x = -r + 108. Find the third derivative of -r*b**2 - 6*b**5 + 11*b**5 - 21*b**5 - 6*b**2 wrt b.\nAnswer: -960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 7 - (4 - 1). Find the second derivative of 2*c**5 - c**4 - 4*c + c + c**m wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55 - -2225?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h. Does 14 divide o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6506?\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0317 * 22633.\nAnswer: -717.4661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 6*m + 7. Let q(z) = z**2 - z + 5. Let v = -90 - -90. Let i be q(v). What is b(i)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*q - 1502*q + 214*q + 167*q.\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)*q\/(q*q**(-1)\/q)*(q\/(q*q**2))**6 assuming q is positive.\nAnswer: q**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-10))\/8*(-1)\/((-10)\/(-25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122020121220 (base 3) to base 11.\nAnswer: 212033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let d(l) = 8*l + 8. Let h(g) = -d(g) - 4*n(g). Let u(i) = -3 + 2*i - 3 - 5*i - 1. What is -5*h(t) + 6*u(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:58 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/3510*1*3*(-6)\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + t - 7 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-765)*-6)\/((-520)\/52)\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-69)\/18 + 3). Let v be -6809996 + (-3*8\/m - 0). Round v to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -9. Let l = h - 40.000007. Round l to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 5*l + 5. Suppose 0 = -6*b + 19*b + 39. Let f be c(b). Let w be f + 4 - (-6 - -4). Solve 4*h - 19 = 3*j, 3*j - w*h - 10 = 6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1657, -6805, -15379, -27373, -42781, -61597, -83815?\nAnswer: -109429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**2 - 4104 + 2068 + 2036.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*6\/15*-347*(-27)\/18. Suppose 0 = o + 3*o - 52. Suppose -1572 - g = -o*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-u - u - u) + (-3*u - 2*u + 3*u)*(-1 + 4 + 0) + (-2 + 1 + 2)*(2*u + u - 5*u).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2*l + 8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -49821485 divided by -7117355?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2273 (base 8) to base 10\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9363 - -9654. Solve -35 = 298*g - v*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*m - 689*m - 34*m + 58255 = -6*m for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)*(a*a**(-2))\/a)**(-39) assuming a is positive.\nAnswer: a**(429\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*t**3*z**2 + 2*t**3 - 2*t*z**2 + 3*t - 2*z wrt t.\nAnswer: 1062*t*z**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:06 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwpy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008402038 to six decimal places.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjxv when four letters picked without replacement from jvxvkyxyvvxvyx.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = 4*r - 104, 9021*r - 4*q = 4511*r + 4512*r + 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4392 + 12158. Which is greater: 23296\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 10. Let i be u(12). Suppose f - 7 = -i. Which is bigger: 4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4005)\/(-1958) + -2 - (-3)\/(198\/(-267)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Let b = c - -1. Suppose 0 = -2*p + u + 17, u + b*u = -4*p + 69. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c - 2. Let b be i(1). Suppose -q = b*o - 0*q - 16, -q = -1. Let k = -42 + 73. Solve 11 = -o*v + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 6*u + 6*u + 6*u. Let z(g) = 3*g. Let m(s) = 3*s. Let c(p) = -2*m(p) + 3*z(p). Determine j(c(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4640 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 76*t**2 - 10. Let m(a) = 25*a**2 - 3. Suppose 51 = 110*w - 108*w + 11. Give w*m(v) - 6*u(v).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/7 - 23594742*h\/7 - 94378936\/7 = 0.\nAnswer: -11797367, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1271 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 - 8*m + 17. Let q(c) = -2*c**2 - 4*c + 8. Let d(p) = 10*q(p) - 4*t(p). Let d(i) = 0. Calculate i.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(-3*sqrt(2) - sqrt(2)) + sqrt(2)).\nAnswer: -45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-350)\/(-250))\/((-23403)\/(-145))*(-6)\/(-7)\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1017 and 1179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2288*w - 2287*w + 4, -5*r = -2*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*p + 16 - 1, -4*p = -2*x - 6. Suppose x = -f + 7. Suppose f*r + 2*i + 354 = 7*r, 0 = -4*i - 12. What is r rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.422 + -5.3944. Which is smaller: m or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 105, 205, 303, 399, 493?\n\"Answer: -k**2 + 103*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**5\/10 - 5*y**4\/6 + 2*y**3\/3 + 8*y**2 - 5*y + 20. Let x(p) be the first derivative of d(p). Suppose x(m) = 0. What is m?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/7 + 536*l\/7 - 71824\/7.\nAnswer: -(l - 268)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let j(w) = 2*w + 3. Let s(d) = j(d) - r(d). Suppose -o = 4*m - 7*m - 25, 16 = 4*o. Calculate s(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1865 = -5*k + 4*y + y, 0 = -2*k - 5*y + 711. Let c = k + -324. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 - (8 + -17)) + 11 + (4 - 4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*j**3 - 61864*f**2*j**2 + f**2 - 18*j**3 + 158*j**2 - 2*j + 11 wrt f?\nAnswer: 2*f*j**3 - 123728*f*j**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c. Let r be d(1). Let g be (-38 - 2)*98\/r. What is g rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 2:32 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 10*s**2 - 4*s - 19. What is the remainder when 90 is divided by u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 4. Determine a(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 1\/4*z**5 - 3*z**2 - 5\/12*z**4 - 1\/24*z**6 + 0 + 0*z**3 + 9*z. Let k(r) be the first derivative of f(r). Factor k(h).\nAnswer: -5*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s + 1\/60*s**5 + 0*s**3 + 0*s**4 + 1\/2*s**2 + 0. Let t(a) be the first derivative of b(a). Let n(m) = -m. Give t(n(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 9*p**2 + 11*p - 5. Let r be d(10). Let h(z) = 2*z + 10. Let q be h(-7). Let w be 0\/(1 - (q + 3)). Solve w*m - r*m + 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/(-1890))\/(1\/(-3)))\/(760\/20900).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24863944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(24) + sqrt(216)\/sqrt(225) - sqrt(24))) + 2*sqrt(96)\/sqrt(4))\/(4*2*sqrt(300) - (sqrt(300) + 2*sqrt(300))*-1).\nAnswer: 14*sqrt(2)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-8)*2 - -2. Suppose -v - 2*n + 12 = 0, 0 = 4*v - n - n - 88. Suppose j*s - v - 15 = h, 0 = 5*h. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(2\/19))\/(n*(n**(-4)\/n)\/n*n*n))\/((n*n*(n*n**(-2\/11)\/n)\/n*n*n*n)\/n**8)*(n**2)**(-13\/5)\/(n**(2\/13)\/n**5) assuming n is positive.\nAnswer: n**(118498\/13585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 21078*z - 106294. What is d(5)?\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5166 divided by 246?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x*x\/(x**(-4\/3)*x*x)*x*x)*x)\/x*x*x*x**(-1\/5)\/x*x*x**(2\/49)\/(x\/x**(6\/17)) assuming x is positive.\nAnswer: x**(10751\/12495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5090404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4545, -9096, -13651, -18210, -22773, -27340?\n\"Answer: -2*u**2 - 4545*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99, 381, 857, 1533, 2415, 3509, 4821, 6357?\n\"Answer: l**3 + 91*l**2 + 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11654 - -11547. Sort i, 2, -11 in descending order.\nAnswer: 2, -11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - f**3 + f**3 + (-2 + 6 + 6)*(-6*f**4 + 2*f**4 + 2*f**4) as u + r*f + i*f**3 + p*f**4 + b*f**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198276 and 13702?\nAnswer: 3370692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 18 = -2*l, -4*l - 12*i + 15*i = 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:41 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 3*q - 13. Let b be d(6). Let o be -8*b\/16*4. Let w be o\/(3\/(6\/(-4))). Solve -2*u + w = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 7*j**4\/12 + 5*j**3\/6 - 59*j**2\/2 - 14*j + 3. Is c(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 4*u**2 + 2*u - 12. Let t be c(-5). What is the third biggest value in t, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48800000 to the nearest one million.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13105440 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11070*i**2 - 5537*i**2 - 5537*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3997.137 nanoseconds?\nAnswer: 0.003997137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10887.\nAnswer: 3, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (45\/(-9) - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2339166, -2339181, -2339206, -2339241?\nAnswer: -2339286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6074, -7, -6\/7, -0.4 in increasing order.\nAnswer: -7, -6\/7, -0.4, 6074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 24*x - 32.\nAnswer: -4*(x - 4)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1656 or -1655?\nAnswer: -1655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0483015*0.0669\nAnswer: -0.00323137035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h*h**(-2\/31)\/h)))*h**(-1\/3))\/(h*h*h\/((h*h**2)\/h)*h)**(-12) assuming h is positive.\nAnswer: h**(2300\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18741384 to the nearest integer?\nAnswer: 4329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, m: 1}. What is prob of sequence zm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4014.5761 + 4015. Round g to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -20, 5*c - 25 = -784*o + 779*o. Suppose -12*u + 15 = -7*u. Determine h, given that -2\/3*h**5 + 16\/9*h**u + 0 + 0*h**2 + c*h - 20\/9*h**4 = 0.\nAnswer: -4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -3, -62524 in descending order.\nAnswer: 55, -3, -62524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - -2) - (4 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.6509ml in litres?\nAnswer: 0.0606509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:13 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 1313.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -81\/433745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/32248 and 19\/8062.\nAnswer: 32248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c = -1563 + 1401 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 22. Calculate the greatest common divisor of 99 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2651*h + 3264*h + 121 + 3450*h**2 - 121 wrt h.\nAnswer: 6900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/60 + 15*c**2 + 2. Let m(g) = 11*g + 2. Let v(t) = 55*t + 11. Let p(w) = 11*m(w) - 2*v(w). Calculate p(n(d)).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20923865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c**2 - 35*c**2 + 76*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/135258 and -61\/30.\nAnswer: 676290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 1. Let u be q(1). Suppose u*k - 15 = -3*w, 2*k - 6 = -k. Suppose -m = 219 - 216. Sort -4, m, w, 2 in decreasing order.\nAnswer: w, 2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 15128365\nAnswer: 75641825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhextzd. Give prob of sequence zhxt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58632 divided by -21.\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 6*v + 2. Let t be n(0). Solve m + 11 = t*j, -j + 3 = 4*m - 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(72)\/sqrt(3))*6*-4)\/(3*sqrt(108)\/sqrt(36))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11571913*o**3 - 3*o**2 + 318629*o.\nAnswer: -69431478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 206 + 2*d**2 - 63*d - 3*d**3 + 17*d - 207 + d**3 in the form h*d**3 + s + b*d + a*d**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/m**18 assuming m is positive.\nAnswer: m**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2 (b) 0.2252 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boxoexn. What is prob of picking 1 x and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 17*x = 360. Calculate the remainder when 196 is divided by x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 - (-3 + (3 - -2)). Let v = r + 14. Suppose 2*m + 15 = 5*t, m - 9 = -5*t + 6. Solve -v = t*y + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 36, -4 in decreasing order.\nAnswer: 36, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + 0.27. Which is the nearest to -5? (a) 0.5 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1815, -1, 15, -6, 1, 2 in descending order.\nAnswer: 1815, 15, 2, 1, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 40*y + 474. Let k be p(-12). Sort 14, k, 5, -5, 0.\nAnswer: k, -5, 0, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3)*(-3 + 6*f - 23*f + 6*f)*(-2 - 2 + 1)*(0 + 0 - 1) to the form p*f + m and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4638 + -310?\nAnswer: -5048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18774076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s + 136 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -908, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.4, -908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28538 - -10612. What is q rounded to the nearest 100?\nAnswer: -17900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624683 is divided by 6244.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*15\/(-25) - -105. Suppose 0 = o + m - r, 0 = -4*o + 4*m + 11 + 397. Calculate the remainder when o is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwakkoaiwaowiwkok. What is prob of sequence ooiw?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6949.\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*t + 53*t + 4*t)*(-22 + 16 + 14).\nAnswer: 312*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 206, -2 in increasing order.\nAnswer: -7, -4, -2, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*u + 7, 0 = 43281*u - 43282*u - 3*d - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.69 + -5.31. Sort h, -4, 0, -1\/5.\nAnswer: h, -4, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldlldkdl. Give prob of picking 3 d.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 118687741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 minus -2.3?\nAnswer: -185.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:13 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24708928207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 6*b**2 - 7*b + 3. Let l be a(7). Solve 4*u - l*w = -10 + 31, 5*w = 4*u - 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-21)*1350\/2700.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 3, o: 13, w: 2}. Give prob of sequence oww.\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 2. Let a = 2 + -2. Let u be b(a). Suppose -u*z - z + 45 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21461 at least as big as -21455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-15)\/(-45))*16\/(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0 - 1\/40*z**5 + 0*z**3 + 1\/24*z**4 + 2*z**2 - 4*z. Let b(j) be the first derivative of o(j). Factor b(x).\nAnswer: -x*(3*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -605063108*f**4 - 3*f**2 - 39937*f - 964 wrt f.\nAnswer: -14521514592*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5 - 15297*a**4\/2 + 346506*a**3 + 1073919*a**2\/2 + 3822*a - 178986 = 0.\nAnswer: -2594, -1, 1\/2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -4*h - 133 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 8725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 693, 2271, 5293, 10227, 17541, 27703?\nAnswer: 41181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 15 = -3*f, -6*k - 14 = -2*k + 2*f. Let d = -1 - k. Let o = 12 - 13. What is the closest to d in 5, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-84))\/(-20*(-13)\/(-208))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -3. Suppose 2*x + 4 = -2*h, x + 0*h = -2*h - 7. Is 13 a factor of 26\/5*(x - l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from vbbm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -1\/11 (b) 6\/19 (c) 6 (d) -0.5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u + 5. Let l be 1\/(2 + 15\/(-6)). What is the smallest common multiple of 2 and c(l)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z + 5. Suppose -15 = -z*d, -3*d - 292 = -5*g - 2*d. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.6. Let s = -101414.3 + 101414. Which is the nearest to s? (a) -1\/6 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -33, 23, 3.\nAnswer: -33, -4, -1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/x**(2\/3)*x)\/x))*x**1)\/((x**3*x*x)\/(x**7*x)))**(11\/5) assuming x is positive.\nAnswer: x**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppkkppkikp. What is prob of picking 2 k and 2 p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5453 (base 6) to base 5.\nAnswer: -20012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89345\/33 greater than 2706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94, -439, -1358, -3139, -6070, -10439?\n\"Answer: -48*t**3 + t**2 - 12*t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 74, -70, -212, -352, -490?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28239 is divided by 269.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1744 in -0.022, 1, 10, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 147*v + 89. Let y be p(4). Let t = -1353\/2 + y. Solve 0*h + 0 + t*h**2 - 1\/4*h**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 16. Let h(p) be the first derivative of 2*p**3\/3 + 3*p**2 - 8*p + 4. Is h(c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*r + 3*o + 63, -6 = -2*o. Let l be (-2)\/(-5) - (-6)\/r. Suppose 4*w - 3*g - 38 - 32 = l, -4*w - 3*g + 82 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 6:44 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 629619\/28 - 22484. Calculate the common denominator of d and 99\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-374)\/(-31) - 38\/(-1767)*-3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1296*y**3 - 2*y**2 - 2856*y wrt y.\nAnswer: -7776*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2302\/(-420) + 135\/(-25) + 5. Let d = -37\/6 - j. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dppdpttddrdrt. Give prob of picking 2 d and 1 p.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/8 of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 62*d - 202. Give l(6).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3, -2\/5, -4\/7 in decreasing order.\nAnswer: 3, 2\/5, -2\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - 1236\/16. Let w = 132 + a. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*h**4*p**3 + 12*a*h**3 - 42*a*h**2*p**2 + a*h*p**3 + a*p**2 - 9*h**4*p wrt h?\nAnswer: -24*a*h*p**3 + 72*a - 216*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwowwo. What is prob of sequence woww?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f**3 - 3*f**2 - 12*f + 27. What is the hundreds digit of d(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (9 - (5 + 2)) + 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + 42. What are the prime factors of 3\/(-2)*u\/(-18)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -538 - -800. Let k = j - 125. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(5\/9))\/a)**(5\/12) assuming a is positive.\nAnswer: a**(25\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 9*m = -14*j + 45, m = 2*m + m - 6 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 8*n = -4*n - 16, -2*f + 3*n + 11 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(572)\/(sqrt(99) + sqrt(11)) - sqrt(52) - (sqrt(52) + (-2 + sqrt(208) - sqrt(52)) + sqrt(52))))**2.\nAnswer: 30*sqrt(13) + 2941\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}