diff --git "a/data/dm_maths/full_data_1/1970_11255.jsonl" "b/data/dm_maths/full_data_1/1970_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1970_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -445211 (base 8) to base 6\nAnswer: -3115053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 21*w**2 + 12*w + 4. Let p be (2360\/177)\/((-4)\/6). What are the prime factors of a(p)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dduddgkdkkkkdkddk. What is prob of picking 1 k and 1 d?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -283*o**6\/24 - 8627*o**5\/60 - 878*o**2. What is the third derivative of b(u) wrt u?\nAnswer: -8490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 5*x + 2. Let y be r(5). Let c(g) = 20*g**y - 11*g**2 - 12*g**2. Let z(p) = 9*p**2. Determine z(c(j)).\nAnswer: 81*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 + 2 + 2 - 1)*(-3*t**2 - 2*t**2 + t**2) to o*t**2 + s + v*t**4 + j*t + m*t**3 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 784768 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(30 - 6\/2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkkkcrkvvvccv. Give prob of picking 2 k and 1 v.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 3*z + z - 1 + 12*z**2 in the form g + a*z**2 + w*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 3 = 5*q, -3*q + 17 = 5*m. Suppose m*s - 1143 = 725. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = 0, 0 = -l + 5*l + 4*b - 16. Let i(t) = -t**2 - 2*t + 317. Is i(l) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.103*-2.4634.\nAnswer: -0.2537302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 401*y = -51216. Calculate the greatest common factor of 3520 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12141 = 31*o - 40*o. List the prime factors of o.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/484*(-2 + 0)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r + 2*r)*(0 + 0 + 4*r) + 2*r - 2*r - 3*r**2 + (r + 0*r + r)*(-3*r + 0*r + r) + (2*r - 3*r + 3*r)*(1 - 1 - 2*r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y**2 + 177*y + 52. Give q(20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34355 divided by -18.\nAnswer: 34355\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 3:03 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u**2 + u + 1. Let k(d) = 14*d**6 + 3*d**3 - 4*d**2 - 3*d - 3. Let v(o) = -k(o) - 3*x(o). What is the third derivative of v(g) wrt g?\nAnswer: -1680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2126 + 116. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -9*n - 100. Let a be (-9)\/(-6)*n\/(-6). Suppose a*m - 132 = -2*o, 4*m - o = -0*m + 103. Calculate the greatest common divisor of m and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -13. Let c = 179 + v. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + -23310213?\nAnswer: -23310242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 5\/7 (c) -2\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 40898105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m + 0 - 1\/15*m**3 + 0*m**2 + 1\/6*m**4. Factor j(n).\nAnswer: 2*n*(5*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-45520)\/(-4))\/(5\/(-2650)). What is x rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 2. Let q = t + 0. Let k = -0.1 - -0.6. Sort q, 0, k in increasing order.\nAnswer: q, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 212?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/149 in -10\/9, 5, 1, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -33. What are the prime factors of ((-21)\/o - 4) + 1315\/10?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -4*j - 4*j - 3*m, m - 26 = -3*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/864*-6 - (-98)\/24. What is the biggest value in p, 2\/57, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 10) in base 12?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, h: 1, q: 1, v: 10, r: 4}. What is prob of sequence whv?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10197827?\nAnswer: 10197827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 - -189. Is 2\/7 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 2:33 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 5*n**2 - 4*n + 1. Let d be q(3). Let u = -4 + d. Let a be u*-3*(-1)\/3. Solve 5 = a*w - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -601.8 - -601.163. Sort 2\/7, -4\/3, 0.1, q, 2\/25 in ascending order.\nAnswer: -4\/3, q, 2\/25, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73014*w + 88581 wrt w.\nAnswer: -73014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q - 3. Let v be k(1). Find the second derivative of -i - 5*i**3 + 3*i**v - 6*i**3 - 9*i wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**6\/24 + 19*n**3\/3 + 45*n. Let s(u) be the second derivative of d(u). Let m(q) = -3*q**2. Calculate s(m(j)).\nAnswer: -135*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 247*w**2 + 8*w + 8. Let j be g(-4). Let x be ((-10453)\/(-8) - 0)*3. Let n = j - x. Find the common denominator of 17\/6 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -48*q - 570. Give l(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 - -70. Let s = -92 - p. Let u = s + 27.99981. What is u rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415 - 375. What is the smallest common multiple of b and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*sqrt(91)*-2 - sqrt(91) - -2*(sqrt(91) - (sqrt(91)*-3 - sqrt(91))))\/(-2*-6*sqrt(343)).\nAnswer: sqrt(13)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 78730*u\/3 - 10523676.\nAnswer: 2*(u - 397)*(u + 39762)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {r: 1, k: 2, i: 2, h: 1, m: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1336590*m**3 + 1049*m**2 + 60*m wrt m.\nAnswer: 8019540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/57*(-15)\/20. Put b, -3, -1, -3\/5 in descending order.\nAnswer: b, -3\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 647\/170?\nAnswer: 647\/170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 66*q**2 - 4*q + 1. Let d be k(-1). Let n = -143 + d. Let i be n\/(-20) - (-2)\/5. Solve -2*v = -2*a + 5*a + i, -2*a + v = 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1410641619 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26128572 + -66\nAnswer: -26128638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/2519, -4, 0.4, 2 in increasing order.\nAnswer: -4, 35\/2519, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39346858 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i + 10 - 3 - 7.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 53 = -12*z + z, -6 = 2*z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5498655*f**5*z + 2*f**4 - 56*f*z - 289*f + 85 wrt f.\nAnswer: -109973100*f**3*z + 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 90. Let b be l(0). Suppose 0*x - b = 3*x - s, 6 = 2*s. Let p = x - -33. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4*1)\/(-12*(-22)\/(-1056)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(18\/120*(-45)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -7, -0.1, 0.7, -3\/2 in ascending order.\nAnswer: -7, -3\/2, -2\/5, -0.1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/8 - 823*n\/4 + 47265.\nAnswer: (n - 1370)*(n - 276)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1769 divided by -4\nAnswer: 1769\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2240)\/175)\/64)\/((-296)\/(-20)).\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwllwffllwozo. Give prob of sequence ff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4968312227.00000043 + -4968312315. Let o = d - -88. What is o rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + a - 2. Let m(c) be the first derivative of c**3 - c**2\/2 + 3*c + 108. Calculate -4*m(k) - 5*v(k).\nAnswer: -2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 574.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*f - 56, r + 3*f = -4*r + 108. Let s = r + -16. What is the tens digit of 3 - 28\/s*-10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (9 + -3 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**2 + 5*n. Let r be j(2). Does 35 divide (-4)\/r + (2 - 4472\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64 (b) -0.3 (c) -5.4 (d) 229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1173762133 and -94817.\nAnswer: 1173667316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 107*r**3 + 26*r**4 - 107*r**3 + (23*r**2 - 16*r**2 + 9*r**2)*(-13*r - 2 + 13*r + 3*r**2).\nAnswer: 74*r**4 - 32*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -20. Let n = 21 - s. Solve -6*l + n*l - 12 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140314?\nAnswer: 2, 70157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o = 22*o - 156000. Round o to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -26. Let v = 7\/8 + r. What is the third smallest value in v, -5, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10400981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 3*n**3 - 6*n**3 + 10*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 694*k**3 - 38*k**2 + 34*k**2 + k**4 - 628*k**3 + (-3*k + 4*k + k)*(-k**3 - 1 + 1) to q*k**3 + w*k**4 + p + l*k + b*k**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bttzmsmtt. What is prob of sequence mzt?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 114556, 229114, 343672?\n\"Answer: 114558*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2179*o**5 + 269*o - 4?\nAnswer: -43580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482\/5 + 54\/(-135).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:58 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 4*q**2 - 5. Let n be b(-3). Suppose -6*u + 5*u - 4 = 0, 0 = 3*s - n*u - 67. Solve 4*d + s = -d - 3*a, 4*d = -a - 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 (base 12) in base 13?\nAnswer: c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.889 - -3.079. What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5390*p**3 + 2*p - 2. Let b be l(1). Suppose 0 = 5*w + 855 - b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*m + 78 = 0. Suppose -2680 = 5*i - 475. Let s = -311 - i. What is the greatest common divisor of m and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 36 - 64 = -3*k, 5*k = r + 130. Suppose 4*j = 11*w - 6*w + 20, 5*j = -5*w + k. Solve -5*f + w*f = -20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -967, -0.4, -0.7, 9 in ascending order.\nAnswer: -967, -0.7, -1\/2, -0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8489 + 15659. What is f rounded to the nearest 100?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 22*b - 20*b = -18, 5*b + 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(525\/(-10)) + (-7 - (-88)\/12). Let l(h) be the first derivative of -f*h**4 + 4\/5*h**3 - 6\/5*h**2 - 24 + 4\/5*h. Factor l(a).\nAnswer: -4*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 19 (b) -8.7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 0*f**4 + 0*f + 1\/210*f**7 + 0*f**3 + f**2 + 0 - 1\/30*f**5 + 0*f**6. Find the third derivative of s(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258272026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 111 = -63*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -768, -3, -0.2?\nAnswer: -768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2984 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 - 40*n**3 + 20*n**2 + 160*n - 144 = 0 for n.\nAnswer: -2, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznlwwwzwnzwwlwwwlzn. Give prob of picking 1 z and 3 w.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c - 4*w + 6, c + 2*w = 0. Let g = c - -2. Are 6\/11 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(100))\/sqrt(5))\/sqrt(360) - ((sqrt(98)*-1 + 4 - sqrt(98) - sqrt(98))**2 - sqrt(98))*-3.\nAnswer: -3151*sqrt(2)\/6 + 2694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 216\/5. Determine k so that -2\/5*k**2 - n*k - 4\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 7*j**5\/20 + 67*j**4\/60 + 29*j**3\/30 - 3*j**2\/10 + 1231*j. Factor f(r).\nAnswer: (r + 1)**2*(35*r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:00 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32173711 a multiple of 1973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4135\/7 (b) -2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2 + 356*b**2 - 353*b**2 - 2. Let i(z) = z + 1 + 0*z - 76. What is i(x(d))?\nAnswer: 3*d**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42027183769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*w + 33*w + 3 + 2 + 1 in the form o + b*w and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Suppose 4*n + 3 = -5, -5*n + 10 = -4*i. Put 3, i, t in decreasing order.\nAnswer: 3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 8863 = 8874 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + -6 + 30 + 11 + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyqymyqaay. Give prob of sequence md.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5 + 3327*t**4 + 235266*t**3 - 3067986*t**2 - 6828447*t - 3528525 = 0.\nAnswer: -77, -1, 13, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2078 - 3996. Let i = h - -10974. Suppose -k - 5*q + i = 3*k, -k = 3*q - 1232. What is k rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 2*z**2 + z + 12. Let c(r) = -3*r**3 - 3*r**2 - 2*r - 25. Let n(p) = 2*c(p) + 5*i(p). Let h be n(5). List the prime factors of 1 - 6*h - -4.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 23419 = -3*c, 2*y - y - 5854 = c. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 58, -3, -1 in decreasing order.\nAnswer: 58, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-36)*a*a*a**(-1\/26))\/(a*(a**(2\/5)\/a)\/a*a)**18 assuming a is positive.\nAnswer: a**(-5361\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n = -8. Suppose -p + 1 = 0, n*p = 4*v - 9 + 143. List the prime factors of (-1)\/((v\/(-108))\/(-11)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0*t - 6*t**2 - 1\/60*t**6 + 5\/12*t**4 + 1\/30*t**5 + 0 + t**3. Determine v so that p(v) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 15*g**2 + 2*g - 21. What is the remainder when 16 is divided by c(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 6*o + 6. Let s be t(-4). Let y = -4 - 1. Let m = 22.9 - 23. Which is the closest to 0.1? (a) s (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**3 + 31*n**3 + 22*n**3 - 69*n**3 + 26*n**3.\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - 1.2. Let s = -4 + 3.7. What is the third biggest value in 4, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 10) to base 9\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46113303 and 267.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 860 and 2279?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhdahdahd. What is prob of sequence dda?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 0 + 0 - 1225128*u + 1225122*u. Let n(t) = t. Let x = -17 - -55. Let q be 2\/(-10) + x\/(-10). Determine q*n(h) - o(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75639 is divided by 4446.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(8 + 1 + 0)*(-u - 2*u + u) + 5 - 5 + 3*u + 4481*u - 17310*u + 7694*u as o + v*u and give v.\nAnswer: -5096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, m: 7, s: 1, z: 2, k: 2}. What is prob of sequence zmm?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 476, 722, 988, 1280, 1604, 1966, 2372?\nAnswer: 2828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 = -2. Let d be 0 + (4 + a)\/(-1). Let u(n) = -4 + 6 + 0*n + n + 2. Let i(k) = 1. Calculate d*i(r) + u(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24231 is divided by 658?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 0.043231\nAnswer: 0.00389079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52.77 - -0.23. Let s = 53.1 - l. Let q = -0.2 + 0.7. Put s, q, -1 in increasing order.\nAnswer: -1, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 - 4*l - 18. Let m be p(9). Suppose -5*r - m = -4708. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*(-3)\/6 - 3. Solve -16*k + f = -18*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*12\/16*-24.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*1*sqrt(17))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 38*w + 105 + 109 - 317.\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1600159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -501, -482, -463?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 6 - 3*q - 3 + 6*q**2 + q**3. Let o be c(-6). Solve 6 = -3*m + o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 l when three letters picked without replacement from {w: 3, m: 1, g: 5, r: 1, h: 1, l: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*c - 11, 0 = -3*v - 0*c + c + 8. Let t = -7 - -8. Let d be (1 + t)*(-1)\/(-13). Put -3\/8, v, d in descending order.\nAnswer: v, d, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43 and 34087.\nAnswer: -1465741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118 - -76?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(304) + sqrt(304)*-1)*3)**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 6.55.\nAnswer: 8.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 436, 658, 882, 1108, 1336?\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 240 + 1\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 + 154. Let h be ((-145)\/35 - r)*-8. Solve h*s + 20\/7*s**2 + 0 = 0 for s.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 8*r + 9. Let x be g(-7). Let y(h) = x*h + h - 5*h. Let s(q) be the second derivative of q**3\/3 + 6*q - 3. What is y(s(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27293198, -27293203, -27293208, -27293213?\n\"Answer: -5*g - 27293193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6 - 22*t**3 - t**2 + 13 - 3 + t - 2. Let g be v(-1). Let s = g - 3. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 + 2*n + 99292. Let i(d) = -45*d. What is m(i(p))?\nAnswer: -8100*p**2 - 90*p + 99292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7 - 1. Solve -d = -2*d - t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*r + 449*r - 1194*r + 30560 = 935*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 10*f + 15. Let k(u) be the third derivative of -u**6\/720 + 7*u**5\/120 + u**4\/6 + 4*u**2. Let v(x) be the second derivative of k(x). Give v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11060401.\nAnswer: 11, 23, 43717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)\/(3\/(-15)). Suppose 5*v + 3*k - 23 = s, 2*k - 22 = -4*v. Solve 0 = 2*x + 2, -v*x - 3 = -h - h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*i. Find the third derivative of -99 - i*v**5 + 99 + 6*v**2 wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26167 is divided by 3242.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1) + 480\/5. Suppose -4*k + y + 65 = 0. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Suppose 0 = 3*s + u*x - 7, 4*s = -5*x - 0*x. Let a(c) = 2*c - 5*c + 7*c - 1 - c**3 + 4*c**2. Give a(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 23 = -5*x, 4 - 26 = -5*s + 4*x. Let d = 0.91667 - -0.08333. What is the closest to 2 in d, 2\/19, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -211*s**2 - 13. Let v(r) = 70*r**2 + 4. What is -2*c(j) - 7*v(j)?\nAnswer: -68*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -8, -58.6407, -0.2 in descending order.\nAnswer: 1\/3, -0.2, -8, -58.6407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 9 + 4 = y, -2*y - o = -6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*z + 0*z - 3*z + 3*z.\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o)*(-187*o + 275*o - 132*o)*(4 - o**2 - 4).\nAnswer: -44*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63259 or 63006?\nAnswer: 63006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0, -910726?\nAnswer: -910726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -325236 and 13?\nAnswer: 325249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 5, z: 1}. What is prob of picking 2 g, 1 w, and 1 z?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and -0.161.\nAnswer: 7.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16759, -70515, -160101, -285511, -446739?\n\"Answer: f**3 - 17921*f**2 + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 25*c**8\/42 - 13*c**7\/210 + 3387*c**5\/20 - 7565*c**2. What is the third derivative of q(p) wrt p?\nAnswer: 12000*p**2 - 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*h - 4\/11*h**2 - 2\/11*h**4 + 0 - 6\/11*h**3 = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -56. Suppose 3*z - 59 - x = 4*s, 0 = -3*z + 6. Which is bigger: s or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.561 - -2.841. Is 0.2 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.657026 - 647.428974. Let r = b - -648. What is r rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63532633?\nAnswer: 3271, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8*n**3 + 66*n**2 - 22*n - 6. What is b(8)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 + 3 - 34)*(31*p - 1175 + 1175) - 1 + 2 + 2*p - 4*p to the form u*p + k and give u.\nAnswer: -1893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 4 = -g + 6*f, 4*g - 44 = 2*f. Suppose 19*k + g = 24*k. What is the greatest common factor of k and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) -0.002 (c) -3\/7 (d) 345 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/10 - 2)*((-68)\/(-8) + 3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w + 21*w + 10*w - 23*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 5*l**2 - l - 1. Let c be x(-3). Let s = 26 - c. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w**3 + 32*w**3 + 27*w**3 - 119*w**3 + 30*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 103. What is the derivative of -22*c**i + 9 + 305*c**2 - 305*c**2 wrt c?\nAnswer: -66*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257904 divided by 54?\nAnswer: -4776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 210\/132 + (-8)\/2 and 38\/(((-84)\/(-15))\/(-1))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 149908 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by ((-2)\/2)\/(1\/(-66)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 12:29 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 2:41 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8430263714 and 0.5?\nAnswer: 8430263713.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from rrlmarar?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*h + 4*h - 9016. Suppose 0 = 8*a + h + 214. Are a and -68 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 2*s**2 + 3*s + 2. Let j be i(-2). Suppose a - k = 0, 4*a + j*k = 2*a. Suppose -2*y - 2 = -3*f + 9, 3*y - 6 = a. Solve -7 - f = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3470964 divided by 42?\nAnswer: -82642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 78.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*g + 3. Suppose g*p - 1 = 5. Let j(a) = -2 + 3 - 1 + p*a. Let u(v) = 4*v. Give u(j(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (11 + -21) - 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -3*m + s + 36, -262 = -5*m - 3*s. Suppose 37 = 4*w - 7. Let v = w + m. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*q - 6*q - 3*q)*(0*q - 15*q + 3*q) + (0 + 0 + 2*q)*(-4*q + 4*q + q)*(1 - 2 + 2).\nAnswer: -574*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 69 - 3*x**2 - 131 + x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04386 - 96157.\nAnswer: -96157.04386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0)*(-163)\/1793?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30667771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 9. Let z = -8 + v. Let l(d) = 2*d + 1. What is the remainder when l(1) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x - 4. Let c = -261 - 447. Let z = c + 726. Calculate the lowest common multiple of b(-3) and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/65? (a) -10 (b) -0.2 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 10}. Give prob of sequence rr.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-744408)\/434238 + 2\/(238\/183)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -306 - -306.1. Which is the closest to 0.2? (a) f (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9110?\nAnswer: 2, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3575568 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54162 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 345251173249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from hdlhhhhhhxxhdau?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/7 (b) 1\/7 (c) 3192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqiqiiq. Give prob of picking 1 e and 2 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-3440)\/144 - -24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5136 = 2*b, 2*a + 8291 + 4509 = 5*b. Suppose -52 = -8*k - 28. Suppose 5*n = k*w + 2*w + 2540, -5*n - w + b = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4108 - 4107.9. Sort -2\/55, 3, s.\nAnswer: -2\/55, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 2*h + 1. Let n be o(-1). Sort 0, 8, n in increasing order.\nAnswer: n, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -272839*f**3 - 2*f**2 + 1732.\nAnswer: -1637034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:28 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 963 - 949. Let j(l) = -l**3 + 14*l**2 - l + 11. Give j(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16681 - -16682. What is the second biggest value in 0.545, 0.1, -5, o?\nAnswer: 0.545","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:20 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4645 - 1739. List the prime factors of s.\nAnswer: 2, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from eeewweweww.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2707718198 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 382 - 255. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8923\/55 - -803\/5. Let w = s + 47\/22. Determine c so that w*c - 1 + 3\/2*c**2 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {f: 4, a: 3, u: 5, x: 2, o: 1, s: 4}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120012 - 1212112002?\nAnswer: -1211221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4839 and -0.2.\nAnswer: 0.09678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p + 4 = 0. Let f = 14 - 156\/11. Let c = -0.2 + -0.3. What is the second biggest value in c, p, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.084+-159156039\nAnswer: -159156037.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100310220132 (base 4) to base 3\nAnswer: 22022001020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.93 - -0.75. Let a = 0.1 + 0.01. Let r = a + x. Is r greater than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 37 = 101. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 3*q - 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000276 to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 114\/(-19)*(-2)\/4. Solve 4*k - s*k = -n + 6, 15 = 4*n - 5*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = b, 0 = -4*o - 5*b - 38 + 27 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**(-1)*i))**9\/((i**(-5)*i*i)\/i*i**(-5\/4)))\/((i\/(i**(3\/7)\/i))\/i**(-1\/17))**(4\/11) assuming i is positive.\nAnswer: i**(-22739\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31840762897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*c = 157*c - 13*t - 8, c = 21*t - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*j + 9*j - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k**3 - 13569*k**2 + 8130*k + 5424 = 0. Calculate k.\nAnswer: -2\/5, 1, 904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -3. Let y = 33 + -38.8. Let d = y + k. What is the smallest value in 1, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y**2 + 24*y - 27. Give g(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/38 in 5, -0.3, 155?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 17. Let o be (3\/i)\/((-1)\/(-14)). Is 5 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4 + 6*z + z + 2*z - 8*z. Give s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -731 + 738. Solve -4*j - s = -u, 2*j - 5*u = -0*u + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -17*o + 980. 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: Does 20 divide (-187)\/(-5) - 10\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 142*n**2\/3 + 49*n + 12510.\nAnswer: (n - 139)*(n - 18)*(n + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 51*u - 706. Let i be b(16). Let q = 84 - 141. Let o = i + q. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, z: 17}. What is prob of sequence jzjz?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 30 = 12*a. Let n be (a\/(-27))\/((-8)\/(-24)). What is the third biggest value in n, -0.4, 2\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + 11 + 26 + 14 - 14551*x**2 to the form f*x**2 + t + d*x and give f.\nAnswer: -14551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136330 is divided by 426.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - (-286)\/3. Let g be (-14 - -4 - -18) + 11. Calculate the greatest common divisor of a and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.75 + -0.8. Round m to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1692288 = 282*w - 210*w. List the prime factors of w.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -2)\/(32\/12). Let a = 55.33 + -54.33. What is the closest to 2\/5 in 0.3, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:38 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.543 in 1, 113, -2\/25, -5\/4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -0.17.\nAnswer: -2.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35249 + -35152.0098. Let a = h - 97. Round a to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000125017606 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-2\/33)\/(v**(-5)\/(v**(-2)*v)) assuming v is positive.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12d3 (base 14) to base 12.\nAnswer: 1b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - 33. Let n = 180 - l. List the prime factors of n.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -17337?\nAnswer: -4\/17337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 4. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39346000 to the nearest one hundred thousand.\nAnswer: -39300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 5, w: 13}. Give prob of picking 4 w.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvavvrbrv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5}. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102032011 (base 5) to base 13.\nAnswer: 11acbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*552310.\nAnswer: 1104620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6696, 5386, 4076, 2766?\nAnswer: 1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**6\/15 + n**5\/2 - 3*n**4\/2 + 7*n**3\/3 - 2*n**2 - 2*n + 2. Let w(k) = 0. Calculate k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1023084856 to the nearest integer?\nAnswer: 31986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1202 = -5*o + 2*p, -2*o + 599 = -3*p. Let s = -100 + o. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 31*m**2 + 2051*m - 1614. What is j(-67)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/3 (b) 13 (c) -4 (d) 9 (e) -347 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-5))\/(((-168)\/120)\/(-7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 18*y**2 - 17*y + 3. Let q be h(17). Let j be ((-306 - -3)\/q)\/(6\/(-12)). Is j bigger than 203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*510914\nAnswer: 204365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -131.645?\nAnswer: -1448.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*13.03.\nAnswer: 664.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2368136 or 2368135?\nAnswer: 2368136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/20*(7 + -9 - 20)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.106 + 54.106. Let v = l - 56. Which is the closest to v? (a) -5 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-4) - (-14)\/(-28) - 976\/(-64). Put -2, -1, h, -3, -4 in increasing order.\nAnswer: -4, -3, -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.12*-93057.2\nAnswer: 104224.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -49, -66?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -220, -443, -666?\n\"Answer: -223*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2128.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 2:12 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/3*1\/6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 20, 5477, 5, -5 in ascending order.\nAnswer: -5, -3, 2, 5, 20, 5477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {m: 4, h: 1, n: 3, q: 4, d: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-265)\/50 + (81081\/(-330))\/21\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 14*m**2 - 26*m + 30. Is s(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 - -4) - (-4)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 4*l - 12 = -2*p, 6 = -4*p + 2*l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 15. Suppose 3*w = i*w. Suppose u + u = w. Let f(m) = -m**2 - 2. Calculate f(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s + 146. Let h be x(-16). Let w = 43 + -27. Factor -10*a**2 + 3 + 5*a + w*a**h - 2*a - a**4 + 5*a.\nAnswer: -(a - 3)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3250082 and 22.\nAnswer: 3250082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 - f + 152. Suppose -q - 2*q + 8*q = 0. What are the prime factors of l(q)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 4112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2105? (a) -20.1 (b) -1 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.648 rounded to 1 dp?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -v - 1, -30 + 5 = 5*v + 5*d. Let n be (-1)\/v - 602\/(-21). Is (-1 - 1)*n*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.3 + 0.3. Let s = b - -11. Let m = 0 + s. What is the smallest value in -0.4, -1\/5, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 3 (c) 0.48 (d) 4 (e) 19\/5 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 337\/2. What is the second smallest value in -2, z, -7\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + i - 2. Let n be c(0). Let b be 1\/(n\/(-6 + 2)). Find the second derivative of -4*u**2 + 2*u**2 + u + 3*u**b wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4744 in 0, 340, -1\/5?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41\/8? (a) -0.06 (b) 1\/5 (c) -158 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-21 - -11)) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(0*c + c + 0*c) + 3*c - 2*c + c + (-2*c - 2*c + 5*c)*(-3 + 0 + 1) - c + 4*c - 4*c + 1 + c - 1.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Let c = 7.9 - 7. Let a = 0.7 - c. What is the biggest value in a, -3\/2, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 482\/31 (b) -0.3 (c) -7\/3 (d) 0.0293\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (574941*-8)\/(-2). Suppose 5*u - z - 50238 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 68. Let a be t(22). What is the common denominator of a\/(-170)*123\/(-24) and 91\/18?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = 0, -5*v - d - 19 = -6. Let l(f) = 3*f**3 + 2*f**2 - f - 1. Let z be l(v). Let s = 39 + z. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + b + 63 = 0, -b + 43 + 14 = 3*t. Suppose -12*y + 714 = 498. Suppose t*o - 6 = y*o. Solve 0 = o*l - w - 3, -2*l = 3*w - 5*w + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -767741.428 and 0.6.\nAnswer: -767740.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = -0. Let y(u) = 4500001*u - 1. Let c be y(r). Round c to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*3.037\nAnswer: 15.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e65dd - -3?\nAnswer: -4e65da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*c - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**8\/588 + x**7\/1470 - x**6\/30 - 31*x**5\/420 - x**4\/28 - x**2 - 5. What is i in y(i) = 0?\nAnswer: -2, -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -y + 65, -15 = 4*b + 5*y - 120. Calculate the greatest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 1 z when three letters picked without replacement from oezxdbooxdddez?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33a3060 + -3?\nAnswer: 33a305a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*p = -0*p - 86, 0 = 2*u + 2*p - 28. Let k = u - 16. Find y such that 28\/3*y - 38\/3*y**2 - 8\/3*y**4 + 25\/3*y**k + 1\/3*y**5 - 8\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1804\nAnswer: 1\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Calculate c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -893 divided by -11\nAnswer: 893\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02166157896 rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 65. Calculate the smallest common multiple of s and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(17) + -5) - (-3*sqrt(17) + -3))**2 - ((-2 + sqrt(612))**2 + sqrt(85)\/sqrt(5)*-5).\nAnswer: -115*sqrt(17) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/233202 and 23\/699606.\nAnswer: 699606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 189538625 a multiple of 985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 divided by 6?\nAnswer: 707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 16137.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 16 + 0 + 7 + -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2. Let g(z) be the second derivative of z**3\/3 + 3*z. Give a(g(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Let o(t) = -361460144*t + 2. Calculate l(o(g)).\nAnswer: 722920288*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 732581 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i*l**4 + 711*i*l**3 - 465*i*l**2 - 114*i*l + 5*l**4 + 8*l**3 wrt l?\nAnswer: 72*i*l + 4266*i + 120*l + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {m: 1, c: 1, s: 2, k: 2, x: 2, j: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i. Let d = -7\/940 - -383\/940. Factor d*n**3 - 6\/5*n**2 + i*n + 8\/5.\nAnswer: 2*(n - 2)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 minus 63411.2607?\nAnswer: -63411.0207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1.41.\nAnswer: 0.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Let p(o) = o - o**3 + o + y*o**2 - 2*o**2. What are the prime factors of p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + (1*sqrt(128) + sqrt(128) - sqrt(128)) + 4 + -3*(sqrt(128) + 1 + sqrt(128) + -4 - 1*sqrt(128)*5))**2.\nAnswer: 2080*sqrt(2) + 12969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuqqqqqqulnxgqnq. What is prob of sequence gn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(495\/6)*(-201)\/(-134).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 less than 1141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**2 + 27*u**2 - 26*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01749132 rounded to 5 dps?\nAnswer: 0.01749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 22 = 17*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 277 + -152. Let j = -89 + n. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/10, -3, 2, 2\/3, 0.1, 1 in increasing order.\nAnswer: -3, 0.1, 2\/3, 1, 2, 23\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-1809302)\/13*(-3)\/30. Let c = v - 13915. Calculate the common denominator of c and -87\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221 - 100002101?\nAnswer: -100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -62 + -21 + (-309447)\/(-3723). Factor -z*j**2 - 62\/17 + 64\/17*j.\nAnswer: -2*(j - 31)*(j - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14182 = -297*l + 2894 + 4308. Solve l*a = 58*a + 112 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4 - 6. Let f be -1*(-1 + (2 - d)). Is ((-28)\/(-3) - f)*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493 - 99 = -74*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20325 - 20283. Solve -b*x + 51 = 261 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7384185*g**3 + 2079149*g**2 wrt g?\nAnswer: 44305110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3584) - (sqrt(3584) + -4*(sqrt(3584)*-2 + sqrt(3584)) + sqrt(3584)))\/((sqrt(32) + sqrt(3200))*3))**2.\nAnswer: 2800\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -253, -1818, -2, 6 in descending order.\nAnswer: 6, -2, -253, -1818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6. Suppose p*q = q - 10. Is 2*(111 - 0)\/(q + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11248978 and 2894.\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13376 and 179982.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 570 + -551. Suppose 106 = y*z - 27. What is the greatest common factor of 224 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)\/m**5*m**(-2\/5)*(m\/m**(-3\/5))\/m assuming m is positive.\nAnswer: m**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*u**2\/4 - 357885*u\/4 + 14315\/2 = 0 for u.\nAnswer: 2\/25, 2863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -130, 1, -42, 5, -5, -1 in decreasing order.\nAnswer: 5, 1, 0, -1, -5, -42, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 21, 25, 17, -9, -59?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/70 - 6\/(-21). Let i = -0.04 - 0.56. Let p = i + -0.4. Which is the second smallest value? (a) k (b) 2\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 154*i**2 - 620*i - 27821. Determine r(159).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v + 1. Let a be o(-1). Let w = a + 8. Suppose -w*t = 2*y - 126, 0*t + 2*t - 146 = 3*y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1225594 (base 10) to base 16\nAnswer: 12b37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a - 18. What is the remainder when n(7) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -955\/8892 + 1\/468. Which is the nearest to 1? (a) 2 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*q - 316*q = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2085705 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 4*w**2 - 2*w - 5. Let t = 33 - 69. Let i = t + 36. Suppose 5*l + b - 21 = 0, b - 3 + 2 = i. Give y(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**3 + 3*t**3 - 5*t**3)*(-9*t**2 + 21*t**2 + 7*t**2) - t**5 + 5*t**5 - 9*t**5.\nAnswer: 128*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 - 7*n - 1. Let o be u(-5). Suppose 0 = -2*q - 0*q. Let s be 16 - (-3 + q - -2). Calculate the highest common divisor of o and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 112 + 11 = 0. Suppose -204 = -5*d - 3*l + s, d - 31 = 3*l. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65436)\/(-4389) + -2 + -13?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:37 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2460, 9742, 21870, 38838, 60640, 87270?\nAnswer: 118722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.98026 rounded to 1 decimal place?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13661 >= 13662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/14)*d*d)**41 assuming d is positive.\nAnswer: d**(1681\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3887 and 146809?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 3}. What is prob of picking 2 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*y = 4*l - 971, -y + 1623 = 5*l. Is 25 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v + 10. Let q be j(0). Let i(n) = -n**3 + 9*n**2 + 12*n + 18. What are the prime factors of i(q)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 3 + 3)*(m + m - 3*m) + 3*m**3 + 0*m**3 - m**3 + (4*m - 6*m + 3*m)*(35*m - 13*m**2 - 35*m).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/7 and -127\/810?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 20 = -4*a + 4*v, 5*a - 25 = -4*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -17*i - 10. Let j be y(-4). Let q = j + -37. What is the smallest common multiple of q and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 22*t**2 - 3*t - 17. Let b be g(-19). Let i = b - -656. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3674*q = 2430*q - 90812 for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -233430 divided by -5\nAnswer: 46686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/38083 - -5065075\/685494. Let f = 2975475\/109027 - 846\/31. Let y = 376361\/49238 - f. Find the common denominator of w and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v + 6 = 2*j, -v + 2*j = 2. Let b = -3 - v. Let i = -75 - -91. Solve -3*t + i - b = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + -21?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 20 - 174 = 0. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -776137, -3104479, -6985049, -12417847, -19402873, -27940127, -38029609?\nAnswer: -49671319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8364270, -8364299, -8364328?\n\"Answer: -29*f - 8364241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y - 3\/2*y**2 + 14. Let w(i) = -2*i**2. Calculate w(f(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -21*w. What is the units digit of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 13. Let c(w) = -7*w. Let v be c(3). Let o = t - v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4 = -2*c + z, 0 = 3*c - z + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2187*z**3 - 4414*z**3 + 8429*z**3.\nAnswer: 1828*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 19*b - 43*b + 24*b + 4*b**2. Let s(u) = 2934 - 2934 - 15*u. What is s(n(m))?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 768 and 53424?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. What is the nearest to 0 in -1\/2, q, 0.9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 124365306 (base 7) to base 9\nAnswer: 15855200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -151.4 (b) -4 (c) -1\/132 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q + 20 + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjhjjmuumjj. What is prob of picking 2 u and 1 j?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 15770, 2, -9, -1 in decreasing order.\nAnswer: 15770, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**2 + 4. Let f(n) be the first derivative of -n**3\/3 + 3*n**2 + 3*n + 3. Let x be f(6). Let d(a) = -2*a**2 - 1. Give x*y(u) + 10*d(u).\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 x when three letters picked without replacement from {x: 1, s: 7, t: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027879 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.5 - 5. Let s = v + 0.7. Let h = s + -0.4. Which is the nearest to -2\/3? (a) 0.1 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ollo when four letters picked without replacement from {o: 4, l: 16}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/6)*l*l**(-3\/5)*l*(l*l*l\/l**(1\/4))\/l*l*l\/l**(4\/9)*(l**(-1\/2))**14*(l*(l*l*l\/(l\/l**6)*l)\/l)\/(l**(1\/2)*l) assuming l is positive.\nAnswer: l**(967\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 2\/7, -10, 2\/781 in increasing order.\nAnswer: -10, -5, 2\/781, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3 (b) 0.2 (c) -4\/7 (d) -319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90587392 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97750 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -51. What is the remainder when (-3)\/18*-4 + d\/(-3) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -0.3, 1, -63, 2\/5, -9 in increasing order.\nAnswer: -63, -9, -4\/3, -0.3, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4326)\/(-273) + (-4)\/(-26). Calculate the highest common divisor of 80 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 22*t + 19. Let l be w(-23). Let o be (-250)\/(6\/3475200*l). Round o to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -8*h + 4. What are the prime factors of 25 - 2\/h*-1?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 52*r - 460. Solve -5*h + 5 - r = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b63 (base 12) to base 4.\nAnswer: 121323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s**2 + 8*s + 2. Give x(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26114.19km in nanometers?\nAnswer: 26114190000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32981*u = 33023*u + 1092 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 6*l + 1. Calculate x(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = m + 5*v, 3*m - 3*v + 5 = m. Suppose -4 = -m*g - o + 11, -5*g - 4*o = -30. Suppose -5*i + 31 = 2*d, -3*d - 6 - 5 = -4*i. Solve 0 = i*u + g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (39 - 34) + -7 - (-27 - -72).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45434 divided by -16\nAnswer: -22717\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285 = -38*y + 145 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1374 * -0.0647\nAnswer: -88.8978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/609 + -6079\/6699. Is c equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 4) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*t + l + 5, t - l - 3 = 0. Suppose -2*w - 1 = -3*w. Suppose 5*u = 5*h, 2*h + h + w = 2*u. Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 148, 1, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, u: 2, e: 6}. What is prob of picking 2 e, 1 u, and 1 b?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*d = -5, 0 = -2*d - 4 - 4. Solve -5*s = -i - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q. Suppose 0 = -l + 2*d + 7, -l + 1 = -q*l + 4*d. Let h be 14\/5*l\/2. Calculate the greatest common divisor of 21 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3*p**3 + 245866*o**3*p**2 + 9768*o*p**3 + 44*o*p**2 wrt o?\nAnswer: 12*o*p**3 + 1475196*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**3\/6 - 10*r. Suppose b = f + 6*b - 43, 3*f + 2*b - 64 = 0. Let y(v) = 14*v - 33*v + f*v. Give -3*i(a) + 2*y(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*i**2\/7 - 190*i\/7 + 32\/7.\nAnswer: -2*(i + 16)*(6*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 272 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 divided by 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, n: 2, g: 10, p: 4}. What is prob of picking 1 n and 1 g?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111101 - 10001110?\nAnswer: 100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -29293965 at most -175763791\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120110 + 101?\nAnswer: -120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 91 - 301 = 0. Let n = 32 - r. Put 5, n, -4, -31 in descending order.\nAnswer: 5, n, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*12*(176\/16)\/(-33)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -400, -3.\nAnswer: -400, -20, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82545 * -0.02.\nAnswer: -1650.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine fifths of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvx when three letters picked without replacement from bxqbhaaabbaxvba?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 48, 113, 214, 357, 548, 793?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 1110111011?\nAnswer: 1110110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 10*y**2 + 7*y - 1. Let c be h(-6). Suppose -s + 4*i + c = 0, 3*s - 4*i = 4*s - 69. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 n when three letters picked without replacement from {n: 1, j: 2, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019168933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(sqrt(1872) - 2*sqrt(1872)) - sqrt(1872)) + -5 - (-3 + -2*sqrt(468) + (sqrt(468) + -3)*-5)**2.\nAnswer: -23084 + 924*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2\/25, 0.3, 6\/7, 1979\/2, 0.5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(85)\/sqrt(500) - (sqrt(102)*2)\/sqrt(6)*1.\nAnswer: -19*sqrt(17)\/10 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 111795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 1. Let v(t) = t**2 + t + 1. Let y(h) = -14*h**2 - 6*h - 11. Let r(s) = 4*v(s) + y(s). Let c(q) = 3*q**2 + q + 2. Determine w*r(z) - 7*c(z).\nAnswer: -z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**2 + 3*h - 10. Let x(l) = -5*l**2 - 2*l + 5. Give -4*a(u) - 7*x(u).\nAnswer: -u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -23. What is the remainder when q is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8615705 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1176 (base 12) to base 5\nAnswer: 30322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, g: 2, p: 2, q: 6, y: 3}. Give prob of picking 1 g, 1 p, 1 y, and 1 q.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4 + 2 + b - 1 - 3*b. What is the units digit of d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*h**5 + 4800746*h**3 - 14*h - 2207922?\nAnswer: -260*h**3 + 28804476*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -11*i - 18. Let a(t) = -t - 2. Calculate -2*a(y) + c(y).\nAnswer: -9*y - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/27*2\/9*-3.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {v: 5, a: 6, y: 3, x: 1, t: 3}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 - 12*p)*(5 + 2 - 2 - 2*p).\nAnswer: 24*p**2 - 60*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17\/5 + -4. Suppose -6 = -3*m + 6. Let v(b) = b**2 - 5*b - 1. Let n be v(m). What is the third smallest value in 1, n, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 2\/5, 6, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 517181334187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t + 3. Let z(y) = -y**3 + 2*y**2 + 4*y - 2. Let l be z(t). Let w be 3\/6*(l - 1). What is the nearest to -1\/4 in -5, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19800\/(-1375))\/(12\/40)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116553.\nAnswer: 3, 38851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 3*(2\/2 + 3\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/10 (b) -3 (c) -0.3 (d) 0.058 (e) 208 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + v - 13, -4 + 17 = 5*o - 2*v. Suppose 0 = r + 7*b - 2*b - 338, -4*b = -o*r + 976. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589682 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1419294*g**3 + 23*g**2 + 42746233*g wrt g?\nAnswer: 8515764*g + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85477 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -32*h - 3. Let k(s) = 57*s - 29. Let j(t) = -168*t + 104. Let x(p) = -2*j(p) - 7*k(p). What is -5*r(y) + 3*x(y)?\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(126)\/(sqrt(9)*2 + sqrt(9)))\/((-3*sqrt(500) + sqrt(500))\/sqrt(10)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -56 + 59 + 14 - 47\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203967197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 39 = 5*q, 2*q + 5 = -5. Let v be 10\/(-25) + h\/(-5). Let l be (10\/75)\/((-2)\/v). Which is smaller: -0.3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -91 + 110 - 7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111057*h*m**2 + h*m + h + 906*m wrt m.\nAnswer: 222114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + 14*j + 77. Let o be u(-9). Suppose 0 = -27*d + 913 + o. What is the highest common divisor of 215 and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6 = -7*f. Let b be f*4\/(-12)*5. Let u(m) = m**2 + 6*m + 7. Calculate the lowest common multiple of u(b) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.9586 - -0.0414. What is the closest to -1 in g, 1, -2\/9, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 11*p**4 - p**3\/3 + 44*p**2 - 85. Find the third derivative of n(w) wrt w.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 4 - 94 - 509*z**2 + 8.\nAnswer: -509*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*p - 28. What is the nearest to 2\/3 in 0, -1, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299 - 299.163. Let z = -39401650 + 39401650.16300089. Let c = z + t. Round c to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160 or 172?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -25*r**2 - 243*r - 1324. What is q(-6)?\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -14, 0 in descending order.\nAnswer: 5, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/3)\/(-4))\/(6*(-24)\/(-5184))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57102 is divided by 269?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 - 3*i**5 - 4*i**5 + (2*i - i + 19*i)*(i**3 - i**3 - 3*i**4).\nAnswer: -64*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 3:38 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 + 8*d - 40. What is j(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {u: 1, d: 3, n: 1, f: 4, p: 2, x: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + t**2 + 0*t**2)*((t - 2*t - t)*(0 - 2 + 1) - 3 - t + 3 + 0 + 0 - 4*t + 29 - 29 - 7*t).\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -322 - -211. Let c = -64 - k. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67377445, -67377446, -67377447, -67377448?\nAnswer: -67377449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5269, 10543, 15817?\nAnswer: 21091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.12535 rounded to 1 dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 1572, 14, 0.5, 3 in increasing order.\nAnswer: -1.1, 0.5, 3, 14, 1572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 2*u - 761. Let t = -220 + u. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 - 2*u + 1. Let b be t(1). Suppose -b*n + 33 = -17. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -7\/3 (b) -0.3 (c) 2\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {p: 3, j: 1, u: 2, i: 1, d: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5614912 kilograms in tonnes?\nAnswer: 0.0005614912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 527022 and 5566829.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/36 + (-909)\/54?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77 - 75*n**4 - 102 - 145*n**4 + 37*n**4 wrt n?\nAnswer: -732*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 52. What is the highest common divisor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115458 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 35. Let w(i) = 2*i + i + 1 - 37 + i. Let x(s) = -5*t(s) + 4*w(s). Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*m - 28, -5*m + 2*m + 24 = 3*i. Suppose -c - 9 = -a, -3 = i*c - 6. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.071?\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**41)**(-8\/7)*l**(-1\/4)*l\/l**(1\/10)*l**(-1)\/l**(6\/11) assuming l is positive.\nAnswer: l**(70781\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 4689, -52, 0.4, -5, 14, 2\/9?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1273246957245 and 0.3.\nAnswer: -1273246957244.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*3 - (-21 + 6). Solve p + 4*s = -p - 10, -3*p - c = 3*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, -28 in decreasing order.\nAnswer: 5, 1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**7\/21 - x**6\/15 - 43*x**5\/10 + 85*x**4\/6 - 14*x**3 - 3298*x. Determine n, given that m(n) = 0.\nAnswer: -7, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/11449 - -91574\/103041. Let y = -30 - -32. Let -10\/9 + 2\/9*s**y + p*s = 0. Calculate s.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20125603.828 rounded to the nearest one hundred thousand?\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -455 + 460. Let u(m) = -3*m + 0*m + m - w*m - m. Let g(y) = 6*y**2. Give u(g(x)).\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -281 - -280. Which is greater: b or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4348909 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -4*t**5\/5 - 9*t**2\/2 - 10. What is the second derivative of z(m) wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 64*d + 376. Is 167 a factor of x(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**9\/3024 - m**7\/840 + m**4\/12 - 4*m. Let x(l) be the third derivative of s(l). What is the third derivative of x(i) wrt i?\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2644\/33 or -81?\nAnswer: -2644\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -801 * -1\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15278, 61043, 137294, 244031?\n\"Answer: 15243*r**2 + 36*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*o - 873, 354 = s + 4*o - 513. List the prime factors of s.\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 6. Let d(i) = -1. Let x(s) = 21*d(s) - 3*z(s). Let c(u) = u + 616418 - 616418. Determine c(x(a)).\nAnswer: 3*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 855, 831, 793, 741?\n\"Answer: -7*u**2 - 3*u + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9131580 by -9.\nAnswer: 1014620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + -97 + 1 + (1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14442?\nAnswer: 2, 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3174 and -77.\nAnswer: -77.3174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 150 - 417. Suppose -m = -3*u + 3*w, 2*u + 0*w - 134 = -2*w. Suppose z + 4*z = -5*n + u, 2*n = -5*z + 62. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106544\/6365 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1110000101110110001010 (base 2) to base 5\nAnswer: -1421201322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 145.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 10) to base 11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(26\/5)\/((-12)\/(-20)). Let l = -47 - s. Solve l*z = -3*v - 4, 2*v + z + 2 = -2*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 9, 3, -6.35?\nAnswer: -6.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 1 = o, 3*o + 7 = -2*k + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3773521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65784294 is divided by 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208 - -653. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7822*s**2 + 0*s**3 + 3*s**4 + 1 + 6122*s**2 - 3*s**3 + 2*s**3 in the form w*s**3 + l*s + i + j*s**4 + q*s**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4\/3 + 590*k**3 + 154865*k**2\/3 - 105020*k + 158420\/3 = 0 for k.\nAnswer: -178, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 2 + 11*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36715 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.144\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 9*f + 6. Let s be w(-9). Suppose s*p + 78 = 444. What is the remainder when p is divided by (21\/(-2))\/(2\/(-4))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881248498 to the power of 1\/2, to the nearest integer?\nAnswer: 43373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -8. Let s = -6 + 11. Let r = -167 + 167. What is the second biggest value in k, s, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -0.17?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4504981 minus -3878?\nAnswer: 3875.5495019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -36842360 to the nearest 100000.\nAnswer: -36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 4491 - 7899 + 3408 - 8*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 3, -50, -2\/15, -2\/17 in descending order.\nAnswer: 3, 0.05, -2\/17, -2\/15, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17515.999963388 + 17516. What is v rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 10, 6, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432)\/192*186\/54?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -22*c**2 - 697*c + 227. What is u(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**8\/42 + x**5\/12 + 9*x**2\/2 - 6*x. Let l(d) be the first derivative of a(d). Find the third derivative of l(v) wrt v.\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**6\/180 - 35*u**3\/6 - 16*u. Let o(a) be the second derivative of q(a). Let b(f) = -19*f - 2. Calculate b(o(m)).\nAnswer: -38*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 487878 and 248?\nAnswer: 1951512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(4 - (-7)\/(-3)). Suppose r*l = 4*j - 404, l - 107 = 3*j - 399. What is the remainder when j is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 344 = 1222. Suppose 8*c - 3*c - 3*m - w = 0, 276 = 5*c + 2*m. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72235*m**3 - 24077*m**3 - 24073*m**3 - 24078*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - g**4 + 2*g**5 + (2*g + 3*g + 2*g)*(5*g**4 + 4*g**4 - g**4).\nAnswer: 58*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**4 - 4*k**3 - 32*k**2 + 48*k = 0?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yybwyjyyjwkwkbykbyy. What is prob of picking 1 y and 2 b?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.2 (b) -179470 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*t + 47*t - 8*t + (t + 2 - 2)*(0 + 1 - 3))*(-4*t**4 + 2*t**4 - t**4).\nAnswer: -207*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/41503 + 82383471\/332024. Let c = u + -45673\/184. Find the common denominator of c and -107\/14.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.03 (c) 0.05 (d) 5\/3 (e) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5312*k**3 - k**2 + 123 wrt k?\nAnswer: -31872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 422851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2070404303 and 3583.\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305174.\nAnswer: 2, 53, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(56)\/sqrt(2)))\/(sqrt(80)\/sqrt(32) + (sqrt(100)\/sqrt(2))\/sqrt(5)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/11))\/(p\/((p\/((p\/(p*p**(-1\/3))*p)\/p))\/p)))\/(p\/p**1)**(3\/17) assuming p is positive.\nAnswer: p**(-17\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39098 is divided by 170?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 5*(-2)\/14. Let g = -1 - 0. Let n = -17070.1 - -17070. What is the fourth biggest value in c, n, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 459*v. Let h(b) = -89*b. Determine m(h(i)).\nAnswer: -40851*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*c + 710 + 2409 = -1637 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-10)\/(-280)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/12 - j**2. Let a(n) be the first derivative of -n**2\/2 - 4. Calculate a(x(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Let t(y) = 3*y - 3. Let s be t(p). Suppose -s*h = -0*h - 6. What is the lowest common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 5 + 2)*(-2*v + 3*v + v) - 42*v + 9*v - 82*v)*(-7 + 7 + 12 + v) in the form l + p*v**2 + c*v and give c.\nAnswer: -1356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 6673269b?\nAnswer: -66732697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 2*t**3 - 2*t**2 + 31620 - 31620 + 2*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*x**2 + 97*x**2 + 99*x**2 - 290*x**2 - 535 as a*x + v*x**2 + i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-245)\/(-35)*-1*(-3)\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.4 (b) 8\/11 (c) 1\/10 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/10)*y**(-2\/13)*y**(-13)\/y**(-6\/13) assuming y is positive.\nAnswer: y**(-1689\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -12*c - 4. Let j(h) = 11*h + 3. Determine 4*j(v) + 3*k(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-5) - (-24)\/10. Suppose -k*o + 21 = -6. Calculate the greatest common divisor of 81 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -428 + 344. Which is smaller: 41 or z?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 95520, 95506, 95480, 95442, 95392, 95330?\n\"Answer: -6*a**2 + 4*a + 95522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 271 or 201?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28726359*c**4 - 32139010 wrt c.\nAnswer: -114905436*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 2\/7 (b) -136 (c) -2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -h + 3*h - q, -4*h + 3*q = -15. Let c = h + 24. What is the tens digit of c\/135 + (-1166)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227785 is divided by 684?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 856134270 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2, -14, 3 in increasing order.\nAnswer: -14, -2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 + 67*y**2 + 32*y + 11. Let s be r(17). What is the greatest common factor of s and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-2) + (-266)\/120 and 85\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d = -22*d + 441 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 19*l + 1. Let j be c(5). Suppose -4*d + 242 = 2*w, -d - 28 = -w - j. Let t(q) = q**2 - q + 16. Calculate the remainder when d is divided by t(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 15. Let f be 14\/j - (-6)\/15. Suppose 4*h - 20 + 4 = 0. Sort 0, f, h in descending order.\nAnswer: h, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -12. Let i be m\/(-9) + (-4)\/18. Let y be 0 + i + 7 + -4. Solve -t - 2 = -3*r, -4*t = 5*r + 7 + y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4\/5, -241, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7726896 by -46.\nAnswer: -167976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 3 + 3)*(-l**2 + 3 - 3) + 4*l**5 - 5*l**5 - l**5 - 12*l**5 - 8*l**5 - 5*l**5 + l**5 - 7*l**5 - 9*l**5.\nAnswer: -44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4536 and -9\/20.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v = -5*v - 611. Solve 21*d = v*d - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-24))\/(((-3)\/70)\/(-3)). Suppose -w = -5*s + 5*c, 2*s + 1 = -6*c + 3*c. What is the greatest common divisor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(1268*a - a**4 - 1207*a - a**4).\nAnswer: 2*a**4 - 61*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((6\/(-225))\/((-35)\/((-1750)\/190))*5).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5422 (b) -0.03 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/4 - 135*o**3\/4 + 1299*o**2 - 10199*o - 11532.\nAnswer: (o - 62)**2*(o - 12)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*y - 137*y = -100 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c60 + -9?\nAnswer: -c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2690090171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 997*f*j**2*n + 4*f*j*n**3 - 3*f*j*n**2 - 11089*j**2*n**3 - 2*j**2*n - 2*n**3 wrt n?\nAnswer: 24*f*j - 66534*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 4*w + 16. Let a(t) = -6*t**2 + 18*t - 81. Let v(c) = 2*a(c) + 11*p(c). Let o be v(-9). Solve o*r + 15 = -0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one halves of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:36 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b - 6*b + 2 - 2 - b + (-1 - 1 + 0)*(-4*b + 0*b + 2*b) + 2*b - 6*b + 3*b - 1 + b + 1)*(3 - 3 - 1)*(152 + 16*b - 152).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 80, -8 in decreasing order.\nAnswer: 80, 5, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 5*w + 4*m + 13423, -2*w + 8972 = 2*m. What are the prime factors of w?\nAnswer: 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 2*o**2 + 3*o + 13. Determine u(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -343*g**4 - 31798*g**2*p + 109*g*p - 8*p + 45 wrt g.\nAnswer: -4116*g**2 - 63596*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 3*l + l**2 + 8*l + (l**2 + 4*l**2 - 3*l**2)*(-2 + 4 - 3) + (1276 - 6*l - 1276)*(-2*l - 2*l + 3*l).\nAnswer: 6*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066102421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -37, -194 in increasing order.\nAnswer: -194, -37, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2200 - 4*v**2 - 5220 + 2198 + 822.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 40. Suppose 0 = -z + u - 4, -z = -6*z - q*u + 20. What is the least common multiple of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*c - 1178 + 1070 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 259233073.3 rounded to the nearest 1000000?\nAnswer: 259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2259228525.\nAnswer: 3, 5, 30123047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -15 (c) 3\/29 (d) 4 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -w, f - 9 = 4*w + 15. Let p be (-9)\/12 + 309\/f. What is the greatest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmmmzmhmmmmhhm.\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)\/a**(-16) assuming a is positive.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1180 and 13452.\nAnswer: 67260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 5. Suppose -l - 51 = 2*l. Let c = 19 + l. Solve -t - y*q = -5, c*q = 3*t + q - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 28. Let r(n) = n**3 + 7*n**2 + 9*n + 11. Let c be r(-5). Calculate the greatest common factor of j and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from wwaawakakwxakwkt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 28*o - 125. Let n be -1*(-4 - (0 + 1)). Calculate the lowest common multiple of c(n) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65840*f**2*v**3 + 24*f**2*v**2*z**2 - 9421176*v**3*z**2 wrt f.\nAnswer: 131680*f*v**3 + 48*f*v**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 11:44 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.313 - -142.\nAnswer: 152.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1299*c + 13*d + 130 = -1302*c, 23 = -2*d + 4*d - 4*d + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0.52. Which is smaller: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 351 + 351. What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*a**3 - 23*a**3 - 11*a**3 + (-3*a**2 - a**2 + 2*a**2)*(a + 0*a + a).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 240\/40 + (30\/(-4))\/(57\/76)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f + 2*n - 10, -f - 2*n + 6 = 0. Suppose 0 = f*z - 5*i - 26 - 307, i - 315 = -2*z. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000123 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*d + 18056*d**2 - 18066*d**2 - 169*d.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0473 and -42?\nAnswer: 1.9866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 + 450568*h\/5 - 901132\/5.\nAnswer: -(h - 450566)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(3\/(-24)). Suppose -2*z = g*q - 62, -z + 5*z = q - 2. Solve -4*x - 3*u + q = 0, 0 = 7*x - 2*x + 2*u - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1100 and 500?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0165805 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 3*c. Let i(p) = -5*p**2 - 2*p - 69. What is d(n) + i(n)?\nAnswer: -6*n**2 + n - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 7. Is 31 a factor of p(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1239 + -19733\/16. Let l = -19451\/1960 - -12\/245. What is the common denominator of u and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.4 (c) -25 (d) 0.17 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 40*f**2 - 30*f - 448. What is x(41)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 3*l + 1. Let o be a(4). Let z = o + 0. Suppose w - 51 = -z*b, 2*w = 5*b - 33 - 15. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (-376)\/(-40))*-25*(-2)\/(-24)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 159, 381, 699, 1119, 1647, 2289, 3051?\n\"Answer: k**3 + 39*k**2 + 8*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 441943.1l?\nAnswer: 441943100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/(-25) + 3)\/(1\/5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88969, 89018, 89065, 89110, 89153, 89194, 89233?\nAnswer: 89270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/15 - 4508*r\/15 - 1502\/5 = 0?\nAnswer: -2253, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 45*p**3 + 42*p**2.\nAnswer: 3*p**2*(p - 14)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12881071877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w + 1. Let o(z) = 9*z + 2. Let f(d) = -5*o(d) + 6*q(d). Suppose -v = u - 4, 0*v - 20 = -5*v + 4*u. Does 4 divide f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -21899*h + 417. Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12313 and 26614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 474544123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -42697?\nAnswer: 42692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, 51, 86, 137, 210, 311, 446, 621?\n\"Answer: r**3 - r**2 + 21*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -2*w + 189. Let y(x) = -6*x + 130. What is the remainder when 15 is divided by y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 + 0.95. Let w = -16\/7 + 15\/7. Which is the nearest to 1? (a) p (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1965 - 1937. Solve 9*d + 111 = -o*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(980\/45))\/(60\/70).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 51*s**2 + 108*s + 62. Let l be y(53). What is the third derivative of 3*j**2 + l*j**3 - 267*j**3 + 5*j**2 wrt j?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234012263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (474\/27 - (16 - -7))\/(13\/(-117)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 231\/15 + (-39)\/(-65). Let s = 100 - d. Let w = s + -54. Calculate the remainder when 44 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) - 48\/(-2). Suppose -4*y + y + 28 = 4*j, 4 = y + 4*j. Let i = y - -11. What is the highest common divisor of i and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -939287*o**2 + 3259658.\nAnswer: -1878574*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*x = -2*x - 134. Solve 3*g + x*d = -4, 3*d + 0*d = -g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c - 49. Let r(b) = 2*b + 2. Determine -6*r(l) + s(l).\nAnswer: -3*l - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*w + 4*x, x - 5*x = 3*w - 35. Suppose w + 15 = 6*n. Solve i + 4*r + 1 = -6, 0 = 5*i + n*r + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**2 + 20*h**2 - 2 + 26*h**3 + 7*h**2.\nAnswer: 26*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 145 = -2*g, -5*y - 2*g + 435 = -302. What is the least common multiple of 63 and y?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((4 + sqrt(6)\/sqrt(3) - sqrt(2)) + 1) + -1 + (2*sqrt(128) + 4 - sqrt(128)))*6*-5)**2.\nAnswer: 475200*sqrt(2) + 1095300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 = 2*z + 2*z, 0 = 2*z + 5*n + 5. Suppose -81 = -z*y + 44. Is 25 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - -15. Let d = 69 - p. Which is the closest to -2\/9? (a) 0.2 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**2*y**3 - 220*o**2*y**2 + 731831*o**2*y + o*y**3 - 374393132*y**3 - 2*y**2 wrt o?\nAnswer: -2*y**3 - 440*y**2 + 1463662*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 15 = 0, 0 = z + 6*x - 4*x + 1. Solve 2*v = -b - 2*v - 23, z*b = -3*v - 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 27*u + 18. What is m(16)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from hlhlhhllhhhlh.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o + 67*o + 4*c - 21 = -1, -255 = 3*o - 77*c for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112314 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((i*i**22)\/i)\/i)\/i)\/i**(-38))\/(i**(-5)\/i**(-32)))**(-5\/12) assuming i is positive.\nAnswer: i**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 3, 0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppfqfpqffpqpppqqfppu. Give prob of sequence qfuf.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/2, 3, -6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w + 44*w = 0. Suppose 2*i = 2*q - 6*q + 8, -5*q - 3*i + 10 = w. Solve -q*r = 3*v - 9, -2*v + 3*v = -5*r - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756112793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -16. Suppose 2*k + 52 = 2. What is the units digit of (b\/k)\/(1\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, y: 4, o: 2, m: 7}. What is prob of sequence fm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, 1.964 in ascending order.\nAnswer: -2, 0.4, 1.964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 7570*t - 14326225.\nAnswer: -(t + 3785)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2. Let z(m) = m**2 + m + 1. Let y(w) = -8*w**2 - 5*w - 5. Let j be -14 + 14 + -7 + 2. Let n(g) = j*z(g) - y(g). Give n(a(h)).\nAnswer: 108*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 36*c**3 + 63*c**2 + 30*c.\nAnswer: 3*c*(c + 1)**2*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 take away 122017462304?\nAnswer: -122017462286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00819069875 rounded to six dps?\nAnswer: 0.008191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17856*o + 22605 wrt o?\nAnswer: 17856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21010 - -101002?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 211070 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253440 and 945.\nAnswer: 5322240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -y - 22, -515*y - 2*c + 3 = -518*y. Solve g + y*t = -0*g + 20, -6*t = -3*g - 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -3 + 36 + -61.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 6*y + 1. Let o(u) = u**2 - 6*u. Let k(h) = 2*g(h) - 3*o(h). Calculate k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Let n be ((-4)\/6)\/((-3)\/18). Find the first derivative of 0*d**n + u*d**4 - 1 + 0*d**4 - 1 wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31845.\nAnswer: 3, 5, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 235*g - 232*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5709 = 3493*k - 3666*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(4\/(-1)) - 184\/69.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -931808*k**2 + 20*k + 7508?\nAnswer: -1863616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-70))\/(142\/355).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 2 = -4*x + 2*j, 0 = -x + j + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 15 = 3*w + 304, 4*w = -12. Suppose -2*z + 4*z - 4 = 0. Suppose 5*n - u = 2*k - 10, 0 = -2*n - z*k + 58. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/275? (a) 0.2 (b) 2 (c) 0.1 (d) 0.5 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/95 and 11\/49630?\nAnswer: 942970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20022122 + 11122201?\nAnswer: -1122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3510 - 24531\/7. Let s(n) = n**3 - 4*n**2 - 3*n - 5. Let b be s(5). Is p at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let u be a(-1). Let s be 2 - (-2 + 5 + u). Let m be (2 - 2)\/(3 + -1). Solve s = 4*i - m*i - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -24. Sort s, 3, 0.5 in ascending order.\nAnswer: s, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3697121.78 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/((-3)\/20). Suppose -3*z + l = -z. Suppose 30 = z*v + 3*j, v + 4*j - 6 = -0*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -30*n + 1. Let f(z) be the second derivative of -z**4\/12 + 402*z. Calculate a(f(u)).\nAnswer: 30*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 14*z**3 - 4*z**3)*(-2*z - 3 + 3 - 2)*(2 + z - 2).\nAnswer: -22*z**5 - 22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3011138, 3011172, 3011206, 3011240, 3011274, 3011308?\n\"Answer: 34*p + 3011104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0859 + 0.5.\nAnswer: 0.4141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -95\/8*j**4 + 3\/8*j**6 + 0 + 1\/56*j**7 - 243\/8*j**2 + 9\/8*j**5 + 225\/8*j**3 + 19*j. Factor a(r).\nAnswer: 3*(r - 1)**3*(r + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/((-11484)\/(-9)))\/((-90)\/(-20))\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 71. Let z(o) = -2*o - 36. Let a(i) = -4*w(i) - 7*z(i). Let b be a(13). Is (21078\/(-27))\/(4\/b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nynz when four letters picked without replacement from {m: 2, z: 1, w: 10, n: 5, y: 2}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12*q - 107. Give i(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2173*a + 5721*a - 726*a.\nAnswer: 7168*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 337771881 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t - 3. Let k be c(-12). Let j be (-101)\/(-9) - (-14)\/k. Suppose -h + 22 = -j. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:57 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-6*(sqrt(363)*5 + sqrt(363))*1*-5*6)**2 + 3)*-3.\nAnswer: -31755240009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 divided by 3?\nAnswer: -215\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 6*s + 6. Suppose 4*k - 24 + 8 = 2*j, 3*j = 0. Let v be y(k). Let f be -2*4\/(5 + 3). Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.121006mm in centimeters?\nAnswer: 0.1121006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/((-6)\/232). Put -5, -3, k in increasing order.\nAnswer: k, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717\/66932 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -3866 and -0.786.\nAnswer: -3866.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 12 = 0. Suppose 12 = -2*o + a*o. Suppose z - u - 5 = o, 5*z - 2*u = 52. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 12*z + 15 = 0. Suppose 4*m + 4*w + 44 = 0, -w = -4*w + z. Let n be (-3)\/9 - 52\/m. Solve 6*q = n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11456 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -309, -307, -305, -303?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 9*i - 9. Let d(s) = -4*s + 4. Let a(o) = 9*d(o) + 4*h(o). Let v(r) = 4551*r - 9051*r + 4467*r. Calculate v(a(u)).\nAnswer: 132*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -32*t**3 + t**2 - t - 1. Let m(z) = -z**3 + 2*z**2 + 2. Let k be m(2). Let u be (-9 - -8)\/(3 - k). Is j(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 3*r - 5. Give m(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39292 by 1.\nAnswer: -39292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, u: 3}. Give prob of sequence uyu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from nvvvvvsvuswvusvvsnu.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Let d = 0 - x. Which is the closest to 0? (a) 0.3 (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 14908 = -y. Suppose 92872 = -10*u - 37*u. Let s = y + u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + (sqrt(1053) + 0)**2.\nAnswer: sqrt(13) + 1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + n**2 - 2. Let w be g(1). What are the prime factors of 0\/w + 238 - -1?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 3*i**6\/80 + 3*i**5\/32 + i**4\/32 - i**3\/16 + 16*i. Determine y so that c(y) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 1986568608?\nAnswer: 1986568607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40998*u**3*y**5 - u**3*y**2 - 6*u*y**6 - 1812*u - 841*y**2 wrt y.\nAnswer: 2459880*u**3*y**2 - 720*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 4360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-188)\/9400)\/((-1)\/15)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*s + 6. Is ((-2)\/s)\/(4\/36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtq when three letters picked without replacement from {k: 1, z: 1, t: 1, q: 1, w: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -17*y + 231. Let g be j(13). List the prime factors of 65\/2*g*216\/150.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -97 - -5)*(240\/(-70))\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/2 - 55*v**3\/6 + 1255*v**2\/3 + 1750*v\/3 - 572 = 0.\nAnswer: -39, -2, 2\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a9a1 + -2?\nAnswer: a99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42147269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 34 + 7)*(f**2 + 2*f**4 + 0*f**4 + 0*f**4) to n*f**2 + q + h*f + u*f**3 + r*f**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. Let i = 0.09 - -0.08. Let o = 3.83 + i. Which is the closest to j? (a) -0.4 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.593473 - 100350?\nAnswer: -100387.593473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 4. Let v be l(-5). Suppose y - 5*m + 22 = 0, 0*y - 5*m = -2*y - v. Find the first derivative of s**y - 4*s**3 + 0 + 6 + 2*s**3 wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -620737 + 4345162\/7. Let b - 3\/7*h**5 - 9\/7*h**4 + 6\/7*h**2 - 6\/7*h**3 + 9\/7*h = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-three eighths of a millimeter?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172\/23, 2\/9, 0 in descending order.\nAnswer: 2\/9, 0, -172\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 6:32 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 2*o + 819 = 0. Calculate the remainder when 297 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 15. Suppose j - 1 = -2*f - q, 4*j = 5*f + 44. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960)*-1*-1*5)\/((-3*sqrt(18))\/sqrt(6) - sqrt(9)\/(sqrt(108) + sqrt(3)))*-5.\nAnswer: 700*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 386927509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6994299 is divided by 2331431?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 943 + 0.6.\nAnswer: 943.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**8\/112 + t**7\/35 - t**5\/10 + t**4\/8 - 8*t**2. Factor s(v).\nAnswer: -3*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:50 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48507 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: Let y(z) = -z + 5. Let t(g) = g - 2. Suppose d - 187 = -f, -3*d - 5*f + 10*f = -529. Let h = 178 - d. Give h*t(o) - 2*y(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 540 + -263. Suppose -6*f + 365 = -s. What are the prime factors of f?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.051 * 0.02\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -426969 take away 33?\nAnswer: -427002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1789*q - 7190. Calculate m(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 12*a**2 - 13*a - 22. Suppose 3*t - r = 270 - 304, 0 = -2*t - r - 21. Determine o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/14*(-1 - 13) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*n - 3*x, -2*n + 4*x = n - 29. Let z = -241 + 798. Suppose n*i - 145 - z = 0. Calculate the greatest common factor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67976873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1876 + -1837. Sort -2, 3, v in descending order.\nAnswer: v, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/(31 - (-3 + 38)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11866859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32551193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 0*h - 7 + h**2 + h - 2*h**2 + 6. Suppose -6 = 3*p - 18. Let v(r) = 6*r**2 - 5*r + 2. Give p*l(t) + v(t).\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n. Let w(v) = -6*v. What is w(k(g))?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/18 + (-38)\/(-9) + -2. Calculate the greatest common factor of t and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602*y + 37817 = -1888 + 4788 - 30701 for y.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, 13, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) - (1*sqrt(119) + sqrt(119))))*4)\/(sqrt(7) - sqrt(14)\/sqrt(8)).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**3 + 7*x**2 + 35. Let t(i) = -2*i**3 - 2*i**2 - 18. What is 2*f(u) + 5*t(u)?\nAnswer: -2*u**3 + 4*u**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66905120*g**2 + 270925318*g + 2 wrt g.\nAnswer: -133810240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, y: 1, f: 3, e: 4, a: 2, z: 3}. What is prob of sequence wwey?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 2753781 and -11404787.\nAnswer: -8651006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 14 = n, -2*n = -n - 5*m + 21. Suppose -4*o + 4*b = -n, 0*b + b + 1 = 5*o. Suppose 5*q + 0*a - 2*a - 352 = o, 5*q - 353 = 3*a. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185910 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Calculate l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/12 (b) -0.4 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. Let r be 12\/18 - n\/3. Suppose r*w - 2*w = -12. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000188934 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209550 is divided by 5663.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -2\/11 (b) 2 (c) -0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183598 is divided by 680?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**3 - 4*z**2 - 3. Let u(f) = -11*f**3 + 6*f**2 + 5. Let r = 199 - 177. Let s = 17 - r. Give s*u(v) - 8*w(v).\nAnswer: -v**3 + 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 4 + 113*p - 4941289*p**2 + 4941286*p**2 + 3191*p**3 + 1708*p**3 wrt p?\nAnswer: 29394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, -2, -3 in descending order.\nAnswer: 15, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2 + 2*m + 2. Suppose 2*z - 2 = 10. Let x(g) = g**2 + 7*g + 2. Let r be x(-3). Let t(p) = -7*p**2 + 3*p + 3. What is r*y(u) + z*t(u)?\nAnswer: -2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2 - 62. Let h be (3 + -3 - 3) + g. Suppose 2*o + 3*k - h = 37, 0 = o - 2*k - 30. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6129 and 15663.\nAnswer: 140967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3 = u, 22*u - 27*u - 5*s = -15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039185 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 76*u**2 + u + 1. Let f be g(-2). Suppose 0 = 5*l - 4*n - 505, -2*l + 5*l - 5*n - f = 0. Does 30 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/160*(-210)\/(-1344).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + ((-3)\/12)\/(1\/4). Let r be 19\/n*-2*-1. Suppose -3*d = -4*x - r, -d - 2*x = -5 - 18. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z\/(z\/(z**7\/z))))*z\/((z\/((z*z\/z**(5\/2))\/z)*z*z)\/z)*z*z**(-4)*(z\/(z*(z*z**2\/z)\/z*z))\/z assuming z is positive.\nAnswer: z**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g**2 - 3*g)*(11370 + 13592 - 28588).\nAnswer: 3626*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/3, 1.8, 39.\nAnswer: -0.1, 1\/3, 1.8, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or 225\/7?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/291 in 3, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 60*b - 66. Let z be c(61). Which is bigger: -498 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**4\/4 + m**3 - m**2\/2 - 2. Let x(v) = 9*v**2 - 5*v + 4. What is the remainder when x(3) is divided by q(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = -2*c, 0*p + 15 = 3*p. Suppose 4*i + 3*a = -c + 40, -2*a = 2*i - 16. What is the least common multiple of i and 117?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68753295 to the nearest integer?\nAnswer: 8292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from eeecnpelcecc.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**3 + 2*a + 1. Let i(z) = -z - 7. Let q be i(6). Let x = q - -12. Calculate t(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 3 - (50 + 34 + -25).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2*150\/(-42))\/((-7)\/(-49)))\/((-6)\/12).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6))\/((-4)\/(-24)). Let i(y) = -y**3 - 9*y**2 - y + 2. Let f = -2453 - -2474. Calculate the remainder when f is divided by i(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007166 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(104\/(-16) + 2) + (-37 - -35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-15120)\/(-100) - 2\/10*1 and 8.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/19 - (-6)\/57. Let g = -3 + 1. Which is the nearest to f? (a) 0.5 (b) -2\/17 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/9)\/((-7)\/21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 922268 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1083)\/95)\/((-1)\/5). Suppose 0 = -g*s + 41*s + 608. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*s - 70*s = 12750. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7165958586?\nAnswer: 2, 3, 1194326431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 10*i**2 + 4*i - 19. Let z be h(10). Suppose -l = -72 + z. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1770231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148122 is divided by 103.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3 - 931802*w**2 - w + 931802 = 0.\nAnswer: -1, 1, 931802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/21, -2\/17, -14, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 20. Let s be c(-5). Solve s*q - 20 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16336 and 4224898?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 74. Let a(w) = -w + 2. Let u be a(c). Calculate the greatest common factor of 10 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*f**2 - 146*f**2 - 169*f**2 + 824*f**2 - 128*f**2.\nAnswer: 219*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1517 + -1517. Solve b*x - x + 1 = a, -x - 11 = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (187\/66 - -10) + (-1)\/(-6). Solve -15 = 5*p - 2*z, -33*p - s = -30*p + z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 21 + (3 - (15 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -70*k + 71*k - 14, 2 = 2*x + 3*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -11*j - 33 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.65 + -2.55. Which is smaller: r or -0.202?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**4\/4 + 2*c**3 - c**2 + 4*c + 1. Suppose -156 = -210*q + 184*q. What is x(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/30 - 43*o**2 - o + 122. Let p(h) be the first derivative of -43*h**2\/2 - 1. Determine y(p(d)).\nAnswer: 3698*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 n, and 1 o when four letters picked without replacement from {o: 1, n: 6, k: 8}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 358 + -357.8. Let f = 1 + 0. Which is the biggest value? (a) f (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b + 53. Let z be p(-15). Let t = z + 897\/7. Factor -4*d - 16\/7*d**2 + t.\nAnswer: -4*(d + 2)*(4*d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 2, -3*d + 6 = -3*x. Suppose p + p + 3*u - 194 = x, 2*u = 8. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 8*l + 5. Let v be a(-6). Let x = v + -11. Suppose 15 = -5*y + 65. Solve x*j = -i + 3*j - y, -3*j = -i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -140, -266, -390, -512, -632?\n\"Answer: q**2 - 131*q + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t**4 + 7*t**3 + 7*t + 23. Let p(c) = -5*c**4 + 3*c**3 + 3*c + 11. Let s(u) = -3*b(u) + 7*p(u). Find the first derivative of s(k) wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/111 + 24\/37. Let r = 56.1 + -46.1. What is the closest to -0.1 in w, 1, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/9, -4, -2.1 in descending order.\nAnswer: 2\/9, 0.2, -2.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 4. Solve 16 = -o*w - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2\/4 - 22763826*x - 172730591386092 = 0.\nAnswer: -15175884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54672, 109428, 164182, 218934, 273684, 328432, 383178?\nAnswer: 437922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4664 and 185182?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 times -0.17?\nAnswer: -23.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0*t - 3*d + 13 = 0, -5*t = d + 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -2, 19, 14 in decreasing order.\nAnswer: 107, 19, 14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 1537.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -15 - (23 - 12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 36*i + 31*i = -2797, z - 3*i = 923. Let g = z + -30658\/33. Suppose 2*d = 5*y - 2, -5*y - 3*d - 2 - 1 = 0. Do g and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2) - (sqrt(2) - (sqrt(18) + sqrt(2))))*-6.\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/3 - 0)*68715\/(-61080)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and -1.375323.\nAnswer: 0.004125969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*u**2 + 51 - 51)*(-188*u**2 - 20*u**3 + 188*u**2).\nAnswer: -480*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 4*q + 2. Let h be i(-2). Solve h*z = 4*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 226.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 0 - 0. Let r be 4\/(-6) - 14\/(-12). Solve r*g**3 + k + 0*g**2 + 0*g = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 14*v. Let g be f(-14). Suppose -m = -4*w - w + 17, g = 4*m - 12. Find the first derivative of h**2 - 28 - h**2 + 1440*h**4 - 1418*h**w wrt h.\nAnswer: 88*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821195795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z*(z**(4\/3)*z)\/z*z))\/(z**(-1)\/z))**(-39)\/(z\/z**(-2\/25)*z**(2\/29)*z*z)**41 assuming z is positive.\nAnswer: z**(-140728\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5\/9 - 34*q**4\/9 - 22*q**3\/3 - 34*q**2\/9 + 14*q\/9 + 4\/3 = 0. What is q?\nAnswer: -6, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38400148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.9. Let h = 43 + -45. Let j = -2.8 + 3. Which is the closest to -1? (a) j (b) i (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, p: 4}. Give prob of picking 1 p and 2 k.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -15 (c) -124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73091816.\nAnswer: 2, 7, 857, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 + 6*y**2 - 22*y + 22. Let b(a) = -7*a**3 - 11*a**2 + 43*a - 45. Let d(r) = 2*b(r) + 5*u(r). Is d(-9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/2)\/(-9))\/((-1)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/13 + 6216*d**3\/13 - 2302614*d**2\/13 - 4359520872*d\/13 + 13099118472\/13 = 0. What is d?\nAnswer: -627, 3, 1866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 5. Let x(w) = w - 1. Let p(k) = -v(k) - 4*x(k). Let a be p(5). Suppose -a*n = -21 + 5. What is the closest to 0.1 in -1\/7, n, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/5, 1\/3, -3 in increasing order.\nAnswer: -3, -1\/2, -1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46380566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143582, -574478, -1292632, -2298038, -3590690?\nAnswer: -5170582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 224 = -279 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 2. Let l be d(-6). Let w = -14863 + 14865. Solve -a - l = w*m + 9, a - 5*m - 22 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2 - 702*n - 705. What is f(-116)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -33. Suppose -6*o - y + 2 = 0. Which is the third smallest value? (a) -0.12 (b) 1\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4500*d*r**3*t - 6*d*r*t + 185*r**3*t + 59*r**2*t with respect to d.\nAnswer: -4500*r**3*t - 6*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 201, 203, 207, 213, 221, 231?\n\"Answer: q**2 - q + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 + 36*k**2 - 486*k - 1505. Let m(r) = 3*r**3 - 25*r**2 + 324*r + 1003. Let j(f) = 7*m(f) + 5*o(f). Determine s so that j(s) = 0.\nAnswer: -14, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7*c**2 - 3.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2582 - -2590. Which is the closest to i? (a) 4 (b) -5 (c) -2 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -3 (c) 3 (d) 5502684 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 875 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50902354 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/72)\/((-56)\/(-210))*14\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -18 (c) 0.07 (d) 6.3095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 372 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*i**4 - 646\/11*i**2 - 328\/11 - 156\/11*i**3 - 816\/11*i = 0. What is i?\nAnswer: -2, -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n + 84. Let v be b(11). Differentiate -12 + 7*q**2 - v - 60*q**2 + 13*q**2 wrt q.\nAnswer: -80*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 160, 312, 462, 610?\n\"Answer: -o**2 + 155*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -14\/9*j**4 - 1 + 98\/45*j**5 + 0*j**2 + 0*j + 8\/27*j**3. Let r(y) = 0. What is y?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-858)*(-10876)\/(-8157)?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -1\/6*m**4 - 5\/6*m**3 + m + 0 - 3\/2*m**2. Let p(w) = -w**2 - w - 1. Let l be (-6)\/(-15) + 6\/10. Determine l*f(s) - 4*p(s).\nAnswer: 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57436 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:14 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 58\/10)\/(3\/15). Suppose -f*g - 65 = -24*g. Solve b - 2*b = g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 539*w**4 - 3*w**3 - 29*w**2 - 44373*w + 6 wrt w?\nAnswer: 6468*w**2 - 18*w - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6 - -37*(-6)\/(-36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1682 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153199, -306398, -459597, -612796, -765995, -919194?\nAnswer: -1072393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 - 390*i**3 + 5*i**2 + 390*i = 0.\nAnswer: -78, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-105)\/10)\/((-6)\/16). Calculate the highest common divisor of 140 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 4*l**2 - l + 2. Give v(-4).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h - 3*t + 3 = 0, -5*h = t - 1. Is 28 a factor of 30\/(-12)*(-28 + h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-7)\/(-6))\/((-9)\/(-54)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 144008282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6849.296 to the nearest 100.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67892 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -134. Suppose 0 = -5*l - 0*l + s. Calculate the highest common divisor of 176 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-56)\/49)\/((-4)\/14). Let c(a) = -2*a + 13. Let w be c(g). Solve -4*u - 17 = h, -2*u + 1 - w = 2*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -754\/31 - -13953\/682. Let y be (-668)\/8*5*3. Let a = y - -1285. What is the common denominator of a and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4 + 8, 4*p - 24 = -2*i. Suppose -z = -37 - i. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264 a factor of 1453200896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1) + (253 + -2 - 2). Suppose -12*c + 1130 + g = 0. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71562.7 - 0.3?\nAnswer: 71562.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-15)\/(-6))*(-168)\/(-140).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76914236 < 76914230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-14 + 13)) + -23 + (1 - 1) + 44\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r + 16. Let l be h(-7). Let w = l - -9. Suppose g = f + w*f + 80, 5*f = 5*g - 460. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.04, 1\/3, 18?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1017*o + 555*o + 450*o. Suppose 0 = -4*x + x + 12. Let y(s) = -s - x + 0*s + 4. Determine w(y(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 6590*u + 184488\/7.\nAnswer: 2*(u - 23061)*(u - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57929*t + 75055.\nAnswer: 57929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 47*y - 2. Calculate x(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10578966 or -10578975?\nAnswer: -10578975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-12)*(-9)\/(-6) + 13. Suppose -s*w + 5*w = -2226. What is w rounded to the nearest 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)*d*d\/(d*d\/(d**(5\/2)*d)*d*d*d))**(-2\/7)*((d\/(d\/((d\/d**(1\/3))\/d*d)))**(-44))**(-2) assuming d is positive.\nAnswer: d**(1226\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360 + -361.3. Let p = 3.3 + b. What is the nearest to p in -16, -2, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31157450.\nAnswer: 2, 5, 163, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 8*o - 5. What is the remainder when h(-6) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 10*x**2 + 4*x - 47. Let h be l(4). Is -16\/49 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -96, 449, 1\/2?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110101011110 (base 2) in base 6?\nAnswer: -54450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -131.9019\nAnswer: -52.76076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - o + 16 = 0, 18*z = 13*z + 4*o - 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627\/(-836)*14*(-18)\/3.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 28*o**2 - 415*o + 1. Let g be b(-23). Solve -5*h - 5*r = 0, 4*h + g = -48*r + 50*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18*h - 66. Let n be f(-5). What is the first derivative of 136 - 39 - n*r + 61*r + 75*r wrt r?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/63495 and -73\/12.\nAnswer: 253980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94544 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19059431 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*s + 18, 0 = -11*l + 10*l + 2*s + 3. Suppose 11*y - l = 6*y. Is (y + 524\/(-3))\/((-2)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 5*u + i, -77*i = -76*i + 2 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, a: 3}. What is prob of sequence mmaa?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/45 and -8\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 2*y + 2 - 2*y)*(-1 + 1 - 7*y**3).\nAnswer: -21*y**4 - 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 2396.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863 = 5*k + 112. Let d be ((-2)\/6)\/(5\/k). Let i(y) = 7*y**2 + y. Let u be i(-2). Calculate the greatest common factor of d and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 9. Let w(j) = -j**2 + 5*j + 5. Let a be w(6). Let y(c) = 7*c**3 + 1. Let g be y(a). Give m(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:08 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 82, 323, 726, 1291, 2018, 2907, 3958?\n\"Answer: 81*u**2 - 2*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 14 and 2298.\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(2 + 2*6*(sqrt(117)*-3 - sqrt(117))))**2*1.\nAnswer: -13824*sqrt(13) + 6469728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136126*h**5*u**3 + 9*h**5 + 2*h*u - 2*h - 127740*u**3 wrt h?\nAnswer: -2722520*h**3*u**3 + 180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**4 - 155*c**3 + 1000*c**2 - 1840*c = 0.\nAnswer: 0, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1806560917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4082 or -4081?\nAnswer: -4082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -234\/7 greater than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Let u be (-6)\/2 + d + 5. Solve 2*z = 0, -u*g - z - 11 = -2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 + (85 - 37 - (6 - (-3 - 1))))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6182176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 89, 167, 275?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2650 - -30909. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -10.3. Let f = -15 + -11. Let h = f - -53\/2. What is the closest to 1\/4 in m, -0.1, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4822 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**12*o**(-10)\/o*(o*o**0*o*o*o)**(1\/63) assuming o is positive.\nAnswer: o**(130\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/696 and -11\/435.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)\/(d\/(d*d**1)))\/((((d**(-3\/4)*d)\/d)\/d*d)\/(d\/d**(-4\/5))) assuming d is positive.\nAnswer: d**(111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 14*s - 1. Is b(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317\/(1340910\/(-376))*5\/8.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3494 is divided by 576?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 + 9340*n\/3 - 175294.\nAnswer: -2*(n - 4613)*(n - 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18142250 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**7\/840 - k**4\/24 - k**2. Let j(x) be the second derivative of i(x). Let h(l) = -2 + 2 - l**2. Calculate j(h(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -8*v**6\/3 + 5*v**3\/3 + 10. Find the third derivative of j(c) wrt c.\nAnswer: -960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-21)\/(-21) + (-2 - -9)*-4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-10)*565\/678)\/((-22)\/24)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/54 + 133*i**3\/27 + 44*i**2\/3 + 176*i - 3. Suppose w(a) = 0. Calculate a.\nAnswer: -132, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11827 - -11677. Which is greater: u or -156?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19473.01818 from 0.16.\nAnswer: -19472.85818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.87 - -5.302. Let k = g - 0.032. Let a = k + 5. Sort -1, a, -4 in descending order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 27*r**2 + r**2 - 44*r**2. Let p(m) be the first derivative of 3*m**2\/2 - 1. Calculate g(p(c)).\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1748)\/(-6))\/(5*(-2)\/(-30)).\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17483*c**3 + 456*c**2 + 25684910*c?\nAnswer: 104898*c + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152 + 160. Let g(f) = 2*f**3 - 16*f**2 - 2*f + 27. Determine g(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t + 20. Let k be i(0). Let b be 4\/k - (-29)\/5. Suppose 2*z = 4*u + 16, 2 = -7*u + b*u. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i**(3\/10))**(-27) assuming i is positive.\nAnswer: i**(189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 132603?\nAnswer: -132599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 987142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39706447 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3*b - 3 = -3*f, 4*b + 2*f = 20. Solve b*m = 4*m + 3*j - 2, 3*m + 3*j = 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83583.83 to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*v**3 + 178*v**2?\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 51.9. Let g = 80053\/195048 - -1\/3483. Let w = -1\/8 + g. Which is the closest to f? (a) 6 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v. Suppose -4*k + 5*y + 20 = v, -3*k + 2*y + 8 = -0*k. Suppose k*h - 200 = -5*h. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 3 - (-19 - -5). Suppose -4*o + 25 = h, 6*o - 2*h - f = 2*o. Calculate the common denominator of 3\/o - (-2)\/180 - -2 and 17\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 bigger than -2302274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1667 and 4?\nAnswer: 6668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 716 + 2557. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 891048 divided by -1084\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -543.0484 and -10.\nAnswer: 5430.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59090 is divided by 201?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.065188203 to 5 decimal places.\nAnswer: 0.06519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 3680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/3 - 17*r**4\/3 + 106*r**3\/3 - 290*r**2\/3 + 325*r\/3 - 125\/3.\nAnswer: (r - 5)**3*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1356, -1468, -1580?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**4 + 2 - 3*q**3 + 2*q**3 + q**2 + q - 3*q**4 as v*q + f + r*q**3 + m*q**4 + g*q**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.4 + -14.4. Sort u, 1, -0.4, 2\/17 in decreasing order.\nAnswer: u, 1, 2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6697779.4459 + -1068.5541. Let b = z - -6698848.18000028. Let s = -0.18 + b. Round s to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 587*s**2 - 10*s + 300. Let t(h) = -391*h**2 + 7*h - 213. Determine -5*o(y) - 7*t(y).\nAnswer: -198*y**2 + y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/66)\/((-2133)\/1196613)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -1\/180*x**5 + 0 + 5\/72*x**4 + 0*x - 4*x**2 - 1\/6*x**3 - 1\/360*x**6. Factor k(a).\nAnswer: -(a - 1)**2*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:23 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 312*g - 1. Let t(z) = 934*z - 3. Give -8*f(n) + 3*t(n).\nAnswer: 306*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 2842.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 4*z**2 - 2*z + 12. Let f be l(4). Let x(j) = -3 - 2 + 17*j - 2. Is 12 a factor of x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 + -2.5. Sort 2\/5, u, -4\/3 in descending order.\nAnswer: 2\/5, u, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 58*c + 17 - 4 - 4 - 56*c. Suppose n = 5*i - 5, 9*n - 4*n = 4*i - 25. Let j be y(n). Put -5, -3, 2, j in descending order.\nAnswer: 2, j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8\/(n**(2\/11)\/n)*n*n*n*n**(2\/31)*n*n**(-2\/41)\/n*n)**33 assuming n is positive.\nAnswer: n**(538293\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.135575 to three decimal places.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 935, 3657, 8183, 14507, 22623, 32525?\nAnswer: 44207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:11 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*t + 100*t + 32 + 123*t**2 - 121*t**2.\nAnswer: 2*t**2 + 236*t + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88496540 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59175\/45 + 0 + 12?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34470757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 121 - 121 + 235*a in the form c*a + q and give c.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1771637443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 160 = 4*d. Let f be d\/(-18) + 2\/9. Let b(a) = -f*a**2 - 2*a**2 + 8*a**2 - 3*a**2. Let l(k) = -3*k**2. What is b(l(c))?\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*h**3 + 72*h**2 + 367*h**3 - 134*h**2 + 60*h**2 as r + c*h + q*h**2 + n*h**3 and give n.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -329, -316, -295, -266?\n\"Answer: 4*m**2 + m - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (7 - 6)\/(2\/8) and 19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39715 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*y**2 + 30*y**2 - 50*y**2.\nAnswer: -94*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 41*b**2 + 4*b - 8. Let m(i) = -40*i**2 - 5*i + 7. Let y(c) = 5*m(c) + 6*w(c). Is y(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 5*z - z - 8)*(0 - 5 + 3)*(3 - 3 + 1).\nAnswer: 2*z + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-39 - (15 - 9)) + (-1 - 4)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8 - -20) + 12)*1\/2. Solve -g - p = 2*f, f + 13 = -5*g - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-4\/5))\/((v*v**(1\/8))\/v) assuming v is positive.\nAnswer: v**(67\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6 + 3 - 4. Let s(c) = -c - 9. Give -5*a(y) - 3*s(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-110))\/((-338)\/(-1859))*45.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 13. Let n = 40 + -22. Suppose -4*u + n = 3*s, 9*u = 5*s + 4*u - 30. Let f be r(s). Solve 13 + f = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -813 + 1629\/2. Let o(q) be the first derivative of 3*q - 9 + 1\/4*q**3 + l*q**2. Factor o(y).\nAnswer: 3*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) 28 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -12*h - 69. Let r be k(-6). Suppose 3*y = 5*y + 3*z, z = r*y. Solve y = 3*f - 3*j, 2*f + 5*j + 8 = 3*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/309 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -85*y**2 + 132*y + 15. Let j(z) = 43*z**2 - 61*z - 7. What is -13*j(d) - 6*k(d)?\nAnswer: -49*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 4*l + 0*l + (2 - 2 - 2)*(0 - 2*l + 0))*(0*l + 4*l + l) to p*l + u*l**2 + s and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(150)*-6)\/(sqrt(15)\/(-4*sqrt(9)\/sqrt(3))).\nAnswer: 24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3595 is divided by 1789?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*o + 3*o + 2*o)*(-3 + 1 + 4) + 3 + 2*o - 3)*(-41*o**2 + 72*o**2 + 48*o**2) to q + k*o**3 + g*o**2 + x*o and give k.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.5 - -10. Let f = 2.5 - n. Let a = -1333 - -1333. What is the smallest value in -1\/2, -0.1, f, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 224*b + 891*b + 1 + 41*b**2 - 83*b**2 + 41*b**2 as p + y*b**2 + w*b and give w.\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 530444 to the power of 1\/2, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -6, 0, -0.02 in increasing order.\nAnswer: -6, -0.02, 0, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g + 1\/360*g**6 + 0*g**2 + 1\/24*g**5 + 0 - 1\/12*g**4 + 0*g**3. Let w(h) be the third derivative of q(h). Determine w(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1 - sqrt(80))*-5 + sqrt(80) + 2.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6943\/5 - 1389. Which is the second biggest value? (a) 3 (b) -0.07 (c) -2 (d) 3\/8 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 13123231?\nAnswer: -13123240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 251 and 0.14?\nAnswer: 35.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 110 = -3*b. Let q = 11 - b. What is the highest common factor of 22 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*x - 36274 = 77198. Calculate the highest common factor of x and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -10. Let l = c + 11.81. Let a = -0.105 - l. What is a rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**4 - 1371*r**3 - 320*r**2 - 2*r + 365692 wrt r.\nAnswer: -24*r**2 - 8226*r - 640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 48. Let v(w) = -w**3 - 10*w**2 - 2*w - 11. What is the remainder when b is divided by v(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = 9*q + 129*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -120?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 373990 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - x. Let m(s) = 26*s**2 - 3*s. Let d(c) = -m(c) + 3*p(c). Let o(t) = 5*t. Calculate d(o(f)).\nAnswer: -575*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2172804 and 748?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591103 is divided by 197032.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 650*b**2.\nAnswer: 5*b**2*(b - 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 53718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446212928?\nAnswer: 2, 7, 996011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1661 - 1647 = -2*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2704789.\nAnswer: 2704789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 14) in base 4?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4245*v = -1665*v - 158*v + 582528 for v.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 4}. Give prob of sequence joj.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -18, 3639.\nAnswer: -35, -18, 3639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1315.9 to the nearest ten.\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825052171.\nAnswer: 1201, 686971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.090625585 - 18031\nAnswer: -18030.909374415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36724, 146880, 330488, 587560, 918108, 1322144, 1799680?\n\"Answer: 2*i**3 + 36714*i**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1683 = 68\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4360 = -11*o + 22458. Suppose 5*p + o = -662. Round p to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*d - 7614 = -1992*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21714*l**2 + 21714*l**2 - 44*l**3.\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 397705 and 231.\nAnswer: 1193115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -684\nAnswer: -683.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3. Suppose 2*n - 3 = 1. Let y = n + v. Solve 0 = -q - 1 - y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 0.03. Let n = q + -0.03. Let s be ((-368)\/644)\/(16\/(-42)). Which is the nearest to -1? (a) n (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6089, 5630, 5171?\nAnswer: 4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 166*i**4\/3 - 135*i**3\/2 - 6*i - 22. Find the second derivative of u(l) wrt l.\nAnswer: 1328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -47850.\nAnswer: -8\/4785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 3*h**2 - h**2 - 3 - 4*h. Let q(w) = w**2 - 5*w - 2. Let r(o) = 4*q(o) - 5*y(o). Give r(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1072 - 1069. Suppose -60*q**4 - o*q**2 - 24*q**5 + 0 + 0*q - 51\/2*q**3 = 0. What is q?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 2:51 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -603*k + 22317. Determine x(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29236, -57602, -85980, -114376, -142796, -171246, -199732?\n\"Answer: -p**3 - 28359*p - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 - 6*u - 8. Let y(d) = -5*d**2 + 5*d + 7. Determine -7*y(n) - 6*z(n).\nAnswer: -n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, 5, -3, 0, 117 in ascending order.\nAnswer: -161, -3, 0, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/9, 5, -78\/7, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*s - 20, -s + 7 = 2*z - 6. Let c be 3 + 6 - (19\/(76\/24) + -2). What is the fourth biggest value in -1\/4, c, s, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26369, 210955, 711983, 1687679, 3296269, 5695979, 9045035, 13501663?\n\"Answer: 26371*o**3 - 5*o**2 + 4*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 6*m - 45 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - g**2 + 7*g\/2 - 2.\nAnswer: -(g - 1)**2*(g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 4. Let x(t) = -2*t - 8. Let l(d) = 5*s(d) - 2*x(d). Let h be l(-4). Suppose h = n - 6. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56, -126, -196, -266, -336?\n\"Answer: -70*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -5*m**2 + 9*m + 2. Is l(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 17\/78421789?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -13091, -5\/3, -0.3, -1\/3, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 360 - 359.9396. Round l to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2 - 2)*(96 + 4*k - 96) + (2 - 3*k**2 - 2)*(k + 0 + 0) - 67*k**3 - 86*k**3 + 6*k**3.\nAnswer: -154*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(216)\/sqrt(96))\/(sqrt(48)\/(2*sqrt(144) - sqrt(144))).\nAnswer: -4 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 9 = 5*p, 2*f - 7 = -4*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**2 - 3*j + 2. Let r(g) = 6*g**2 + 4*g - 1. Let v(f) = 3*m(f) + 4*r(f). Is v(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)*j**3)\/(j**1)**(-40))\/((j*j**(2\/3))**9\/((j\/j**(-5))\/(j\/j**4*j))) assuming j is positive.\nAnswer: j**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5374 + 5373. Let s = 2 - 2.1. Let b = -0.1 + s. What is the nearest to y in -3\/5, -2, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414932131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 7*f - 77. Let l(p) = -p**2 + 4*p + 44. Let j(d) = 7*l(d) + 4*w(d). Let m(o) = 21*o. Give j(m(r)).\nAnswer: 441*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -472104, 21 in decreasing order.\nAnswer: 21, -2\/7, -472104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.1279 and -126.\nAnswer: 1906.1154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2101\/966 - -4\/483. Is -3 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, 0.1, -9, 0.4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -18*v**2 - 10*v. Let z(o) = -2*o**2 - o. Let b(x) = -w(x) + 10*z(x). Let k(j) = 11*j**2. Give k(b(f)).\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/387041?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 5, 2\/5, -1, 0.6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -63*g + 2 + 64*g + 2. Let j = -2 + 4. Let r(w) be the second derivative of -w**2\/2 + w - 2. Give j*r(p) + l(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/8, -4, -6.\nAnswer: -6, -5, -4, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + b0?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 912 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13281?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 202*m**3 + 18 + 0*m**2 + 8*m**2 - 11 - m + 199*m**3 - 402*m**3. Let t(o) = 4*o + 40. Let i be t(-8). Calculate u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-23 - -12) + 26) - -36\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(63) + sqrt(63))\/sqrt(9)*-6.\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623289?\nAnswer: 3, 207763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 616, 2, -2959 in decreasing order.\nAnswer: 616, 13, 2, -2959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153790840*f**4 + 1545*f**2 - 7936?\nAnswer: -3690980160*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1102813599 rounded to 3 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 16. Suppose 0 = -2*z + 2*w, 4*w - 26 = -5*z - s. Suppose -4*m + 9 = -0*m - r, -z*m = r - 3. Solve m*v + 5 - 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445112 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 2*m**3 + 24*m**5)*(0 - 2 + 5).\nAnswer: 72*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01211 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/14*840\/90. Is 12526 - (518\/(-112) - (-3)\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2593 + 937 = -62*l + 154*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(2\/47)*v**28 assuming v is positive.\nAnswer: v**(1361\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1670 + 1645 - (-1 + -1 + 9) - 8.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 43, -4, -1 in ascending order.\nAnswer: -4, -3, -1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -11 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 164, 134, 104?\n\"Answer: -30*u + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-1)\/(-2) + 3. Solve 4 = 2*b + q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/14)\/((-10)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by ((-11)\/(528\/16))\/((-1)\/33).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11891 and 1034?\nAnswer: 23782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 55*s**4\/24 - 53*s**3\/2 - 696*s**2. What is the first derivative of b(z) wrt z?\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00987943091 rounded to four dps?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -21 + 15 + (0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -42476?\nAnswer: 1\/10619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4223560100 to the nearest one million.\nAnswer: -4224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9))**17\/(i**13*i**13*i) assuming i is positive.\nAnswer: i**(-277\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.44488 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 620 - 603. What is the remainder when t is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 614e53 - 0?\nAnswer: 614e53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(2\/6 + 0). Let u = 4 - v. Calculate the highest common factor of 8 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-9 + -1)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 361373631 and 943.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73.7 + -74.7. Let d = 1 - 1.5. Put 2\/25, d, q, 3\/8 in descending order.\nAnswer: 3\/8, 2\/25, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 1. Let z(n) = -16 + 37 - n**3 - 11*n + 4*n**2 + q*n**2. List the prime factors of z(10).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/10)\/(-2 + 3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*j + 28, -4*f - 4*j + 28 = -3*j. Suppose -7*l = -6*l + 5, -85 = -5*d - 5*l. What is the smallest common multiple of f and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2153 - 2149. Let t = -1 + 4. What is the nearest to -0.1 in t, -5, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2016 - 1052 = -5*m - 3*z, 0 = -5*m + z + 3084. Suppose -5*r = -r - m. Let o = r + -52. Does 34 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 5.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 divided by -2?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000541618 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.75 + 0.28. Let l = r - 0.03. Let d = 5 - 2. What is the closest to 1 in d, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f - 4 + 34 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/(-40))\/((-18)\/8). Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -723*w + 107*w + 959*w**2 - 955*w**2 + 1903 + 21813 = 0. Calculate w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/172 - 159\/2236. Let w = -525 - -173. Let h = w + 350. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -204, -226, -256, -294, -340?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13975, -27973, -41977, -55987, -70003?\nAnswer: -84025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*u = -30, -p - 2*u - 66 = 3*p. Let l be (130\/p - -2)*-3. Solve -4*c + l = -8*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 8. Let d be h(6). Let p be 6 - (-2 - d)\/(-1). Let t(a) = 2*a - 9. Determine t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 18. Calculate the smallest common multiple of (-35)\/(-2)*(-24)\/z and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*r = 930 - 3065, 5*r - 10 = 0. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/7 - 226*f**2\/7 + 928*f - 896 = 0. What is f?\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 6, -1, -2\/2137 in increasing order.\nAnswer: -1, -2\/2137, 1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19679578?\nAnswer: 2, 241, 40829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*t + 198 = -94*t. What is the remainder when 2\/(-7) + 578\/14 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 - 486*k**2 + 486*k**2.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15*24\/(-840)*7\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4826 divide 161944416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 31*s**2 - 2*s + 47. Calculate c(31).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 0.6. Let l be 0\/(9 + -2) + 6\/(-8). What is the closest to 1 in -2\/3, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 26 + 12 = 0. Suppose 5*j = 3*l + 11, 4*l - j + s + 12 = 0. What are the prime factors of (l + 5 + 3)\/((-1)\/(-71))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 4, -9, -18, -17, 0, 39, 106?\n\"Answer: m**3 - 7*m**2 + 3*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-90)\/20*12\/(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 8.9. Let i = -13 + g. Which is the second biggest value? (a) 0.2 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.5532l?\nAnswer: 44553.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 11. Let n = -62 - -61. Which is the nearest to n? (a) 5 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 7*t**2 - 8*t - 2. Let q be k(-8). Let y be 7\/14 - (-3)\/2. Let a = q - y. Let r(m) = -m**3 - 4*m**2 - m + 1. What is r(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514 (base 6) to base 16.\nAnswer: be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7684 equal to -7684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 25*v - 3*v + 4557. Solve -2*d + v = 233 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 3*o**2 - 12*o + 30. Let f be p(2). Solve -3*j + 4*d - 6*d = 11, 3*d = f*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004340858 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*j - 0*l + 7, -j + 3*l = -5. Let r be (-1 - 1)\/(2\/(-4)). Put j, r, 1 in increasing order.\nAnswer: j, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awaaaawwwawa. What is prob of sequence aaa?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -544?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 84278*x - 11508548.\nAnswer: -2*(x + 137)*(x + 42002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3.64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -16443.\nAnswer: 16443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2734866?\nAnswer: 2, 3, 151937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-25)\/10)\/((-11)\/(-22)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184 a factor of 242546270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) 570 (c) -2\/5 (d) 2\/17 (e) -1\/3 (f) -612 (g) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 5, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/5)\/((576\/(-1584))\/((-60)\/22))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/(-20)*10\/63)\/((-1490)\/(-1043)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 737348.19 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7413, -14867, -22321, -29775, -37229, -44683?\n\"Answer: -7454*c + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = -5*i, -2*i + 1 = 4*t - 21. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 - 3*d**2 - 218*d + 38. Calculate u(-8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 + 44 = 5*h. Let b = 8\/37 - 1401\/148. Find the common denominator of b and 1 - (-1 + (-81)\/h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -12899 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 - 2*b**2 + 2*b - 1. Suppose -5*u + 48 = -12. Suppose -4*l = -4*a - u, a + 12 - 1 = 3*l. Let k be s(a). Solve 5*w + 25 = k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2783 divided by 253\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/((-14)\/(-105)). Let p(o) = 15*o - 34. Let g(k) = 5*k - 11. Let c(t) = -7*g(t) + 2*p(t). Let n(f) = -3*f + 6. Give j*c(a) + 8*n(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6591.28 to the nearest ten.\nAnswer: 6590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -42812 divided by -10703\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109882*z**2 + 54855*z**2 + 54874*z**2.\nAnswer: -153*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/4)\/(4\/40). Suppose -3*w = -5*r + 34, -5*r + n = -5*w - 15. Let y(c) = -6*c + 11. Is y(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/5*(-450)\/60. Does 13 divide (-8)\/(-80) + (3951\/(-10))\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -356 - -489. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 66 = -4*o, o + 431*q - 219*q - 217*q - 11 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3853 - 3884) + (109 - 1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -2*u + 2*d, 4*d = -3*u - 0*d + 289. What is the remainder when u is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 42*y**2 + 77*y - 94. Let j be o(-40). Suppose -83 = -j*f + 385. Solve 3*a + 4*m = -m + f, -m = -4*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - o = -3*g + o - o + 62, 0 = 3*g - 23*o - 170 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, h: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364279 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.5 - -21. Sort -5, -1\/3, t in descending order.\nAnswer: -1\/3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.077 + -37.923. Let g = n + 7. Let t = g + 31.0016. Round t to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 153*w + 11*w - 4*w + 0 - 130*w.\nAnswer: 30*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 6. Suppose 7*c - 828 - 1097 = 0. Let i = -284 + c. Sort z, i, 0 in increasing order.\nAnswer: i, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i + 26*i = 560 + 205 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 15. Let r be 92\/k - (-4)\/22. Suppose -52 = -m - 54. Put 3, r, m in decreasing order.\nAnswer: 3, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53394788 * -0.1.\nAnswer: 5339478.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 9 = 2*m, -2*m + 4*t = -20 + 8. Let r(v) = -v**3 - 5*v**2 + 2. What is r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3187 * 0.03\nAnswer: 95.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3047630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 5*z + 5. Calculate the smallest common multiple of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -19*a + 3*a + 5*a - 4*a - 4*a. Let y(l) = 5*l**2 + 5*l. Calculate y(h(o)).\nAnswer: 1805*o**2 - 95*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4086 + 4?\nAnswer: -4082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.32281 months in decades?\nAnswer: 2.49435675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 58. Let o be f(6). Suppose -27 = -o*c + 13. Let p = -0.6 - -0.1. Sort 3\/4, -2\/3, c, p.\nAnswer: -2\/3, p, 3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k + 3716 = 3488. Which is the nearest to -29\/3? (a) 4 (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**4 + 5*t - 3*t - 11*t**4 wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11904 by -5952.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3950, -15855, -35712, -63527, -99306, -143055?\nAnswer: -194780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 4)*(-3*u**2 + 0*u**2 + u**2)*(-u + 2*u + 0*u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 325, 473?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7 + 3. Suppose 0 = 4*u + 2*l + 8, -w*l - 16 = -u + 2*l. Solve u*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -603360 by 33520.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/381, -0.5, -4\/11?\nAnswer: -5\/381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*m**2 - 38*m**3 + 384*m - 72*m**3 + 106*m**3.\nAnswer: -4*m*(m - 4)*(m + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 30138 = 3*a, -5*k - 126*a + 130*a + 50194 = 0. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*b**4 + 113478*b**2*f + b*f - b + 597737646*f wrt b.\nAnswer: 184*b**3 + 226956*b*f + f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 3. Let w = 30 + -17. Suppose -18 = 2*n - 0*n + 4*p, -3*n - w = -p. What is the closest to 1 in r, n, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005186 rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttuegmi. Give prob of sequence gmeu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -821, -1295, -1097, 103, 2635, 6829?\n\"Answer: 55*t**3 + 6*t**2 - 877*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 823720763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + x - 5*x = 0. Suppose -v = 4*t - 168, v + 126 = 3*t - x*v. Let a(h) = -t + 42 + h. Let u(f) = 14*f**2. Calculate a(u(g)).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 16*h + 16. Let t be b(-15). Let p(g) = -g**2 - g + 1. Let a(i) = 2*i**2 + 6*i - 2. Calculate t*a(n) + 4*p(n).\nAnswer: -2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pddqxiiqixppppppi. Give prob of sequence ixpx.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -8*c. Suppose 17*u = 15*u - 5*d + 8, d + 20 = 5*u. Solve -l = -c*l + u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 22 = 3*c, c - 2*b = -0*c. Is (-1)\/c - 47\/(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*r - 3*m, -4*m = -3*r - 2*r + 10. Suppose i - 2 = -1. Let x = i - r. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*s - 3, 0 = 12*s - 10*s + 4*v - 18. Solve 2*c = -3*q + 11, q + 22 = 5*c + s*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536368, -536525, -536682?\nAnswer: -536839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-176)\/(-48)*(-2)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.3885641 rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*t = -2*r - 17, 5 = 5*t. Let o be (0 + 1)*(33 + r). Let q = o - -149. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8453 and -8453 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**2 + 28670*u - 1. Let f(j) = -241*j. Give f(l(p)).\nAnswer: -1687*p**2 - 6909470*p + 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 672 and 189.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12384707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124*-107.\nAnswer: -13268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-63)\/(-12))\/(-3))\/((-6)\/(-24)). Let m(n) = 2*n + 11. Let r be m(j). Let q = 235 - 2113\/9. Which is the closest to 0.4? (a) r (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 + -163. Let r(i) = i**3 - 6*i**2 - 17*i + 68. Let c be r(k). Put -6, 1, c, 0 in decreasing order.\nAnswer: 1, 0, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 3*k - 3*k + 3*k + 5 - 5 + (5 - 9 + 9)*(0*k + 0*k - 7*k) to z*k + x and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4 + 1. Suppose 2*v = 5*j - 98, -7*v + m = -4*v. Calculate the remainder when j is divided by (-2 - -1) + 0 + 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27\/2 + 355\/26. Let t be 1*(-2 + 4)\/4. What is the third smallest value in 1, t, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(304) + 0 + sqrt(304)) + (sqrt(190) - (sqrt(190) + (-6*sqrt(190)*1 - sqrt(190))))\/sqrt(10) + 0 + (sqrt(209)\/(-3*sqrt(22)\/sqrt(2)))**2*-3.\nAnswer: -19\/3 + 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 179 (b) -2\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189643 is divided by 108.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5146951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12552767*a**4 - 16642353.\nAnswer: -50211068*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j + 18 = -2*d, -2*d = -5*j + 18. Let g(i) = i + 12. Let l be g(d). Suppose 1 = o, 2*s + l*s - 2*o - 283 = 0. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 3 + 1)*(-3*a + 2*a + 3*a)*((0*a**3 - 2*a**3 - 3*a**3)*(-3 + 4 - 2) - 2*a**3 + 0 + 0) + (-2*a**2 + 2*a - 2*a)*(5*a**2 - 2 + 2).\nAnswer: 110*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.09\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89347 (base 12) to base 3.\nAnswer: 100020120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {m: 6, p: 3, j: 7, o: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**4\/4 + 7*a**3\/3 - 3*a + 3. Let b be h(7). What is the closest to 0 in 0.1, 4, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -3*p + 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*z**4 - 24*z**4 + 56*z**4 + 16*z**3)*(-z + 2*z - 2*z).\nAnswer: 2*z**5 - 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 9:59 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36706?\nAnswer: 2, 18353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - k)*(-3 - 4 + 6) + 24 - 11 - 6*k - 6 in the form z + n*k and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.7 + 2. Let o = 0.4 + z. What is the second biggest value in 0.5, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + o = -o - 15, -o + 5 = 0. Let x = -7 + 8. Solve -4*g + d = x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54027 + -53803. Let a be 2 + -1 + 1*13. Calculate the greatest common divisor of v and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Let p = -0.252 - -0.052. What is the closest to a in p, 0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/((-20451)\/(-170425))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -c152 (base 15) to base 6\nAnswer: -512522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*x**3\/5 + 186*x**2\/5 - 368*x\/5 - 24.\nAnswer: 2*(x - 2)*(x + 15)*(7*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/2 of a decade?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**11)\/g)\/g)**(4\/3) assuming g is positive.\nAnswer: g**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98.00000097 + -98. Round q to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -3. Let c(n) be the third derivative of n**4\/24 + 2*n**3\/3 - 215*n**2 - 8*n. Let x(s) = s + 5. Let f = -8 + 2. Determine b*x(p) + f*c(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 10, 37, 76, 127, 190, 265?\n\"Answer: 6*u**2 - 3*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10401 divided by -1?\nAnswer: 10401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 564832 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13729 - 46927 = -6*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723*d**2 - 247*d**2 + 379*d**2.\nAnswer: 855*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38195804 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhgghhhhhhghhhh. What is prob of sequence ghhg?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*u - 5550 = 1158*u + 12762 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7709\/30 + -257. Let c = -2474 + 2475. Are u and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 - 52*q. Suppose 31 - 7 = 6*m. Let r(b) = -21*b**2 + 155*b. Let g(l) = m*r(l) + 11*f(l). Find the second derivative of g(x) wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (28\/(-10))\/(3\/(-105)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -170 * -10.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -460*m**2. Let w(h) be the third derivative of h**4\/12 - 2*h**2 - 87*h. Calculate w(b(x)).\nAnswer: -920*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/43 in 5, -0.4, -98\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5738 + 5738 + 7*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*j + 11 + 117 = 0, -3*v + j = -101. Calculate the smallest common multiple of v and 351.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1088, -5, 4 in increasing order.\nAnswer: -5, 4, 20, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2165.630544 + -2233.63054439. Let a = 68 + m. Round a to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/3591 and 89\/438.\nAnswer: 524286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5501912 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1972928150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109.0075 + 104. Let u = 5 + o. What is u rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:48 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 253, 299, 359, 439?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9205941247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388252207.\nAnswer: 47, 457, 64633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9060010 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 + 8*y**3 - 15*y**3 + 5*y**3 - 48836*y**2 + 48837*y**2 in the form o*y**2 + p*y**3 + r*y + n and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/(2*(-26)\/(-2))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 34540*f - 461. Is c(43) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1870*d**3 + 3860*d**3 - 1904*d**3.\nAnswer: 86*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172819911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4068565169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 7. Let k be p(-5). Let x = 11 - k. Suppose -21 + 5 = -3*t - 2*w, 2*t = -x*w + 14. What is the highest common factor of t and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 13*t**2 - 10*t - 13. Let o be u(-6). Let q = o + -73. Is 8 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316808 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = 2*d, -5*y = -0*d - 2*d - 20. Let n be 2 + 1 + d + 76. Let p = n + -75. Solve -p*x - 4*w - 8 = 0, 0 = x - 5*x - 3*w - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let t be j(-3). Let k = 0.15 - 7.15. Let c = -12 - k. Sort -0.1, c, t in ascending order.\nAnswer: c, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 5*l**2 + 13*l + 3. Give r(7).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2*a + 0*a)*(-9 + 10 + 12)*(334*a**2 - 334*a**2 + 359*a**4).\nAnswer: 9334*a**5 + 9334*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-42)*(-45612)\/15928?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13\/(-3) - -2)*2\/7. Which is the biggest value? (a) 0.3 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*w**3*z**3 - w**3*z - 3*w**3 - 89*w**2*z**3 + 77*z**3 wrt w?\nAnswer: -492*z**3 - 6*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.8, -4, -16, -2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*z = -172, -2*z + 144 = 3*l + z. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10051\/4 - -7540\/3. Let s(a) be the third derivative of -22*a**2 + j*a**5 + 0 + 0*a + 37\/6*a**3 + 0*a**4. Differentiate s(h) with respect to h.\nAnswer: 70*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**2 + 0*w**2 - 11*w**2 + 278*w**4 + 5*w**2 + (56 - 14 + 4)*(4*w**4 - 7*w**4 + 4*w**4).\nAnswer: 324*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) -0.3 (c) 0.31 (d) -0.5 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 84\/5*v**3 + 332\/5*v + 132\/5 + 276\/5*v**2 + 8\/5*v**4 = 0. Calculate v.\nAnswer: -11\/2, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 17 - (24 + (-57 - -31))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/17 - 184004*m**2\/17 - 2575762*m\/17 - 9014824\/17.\nAnswer: -2*(m + 7)**2*(m + 91988)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-3)\/(-9))\/(7\/(-21))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/63 at most as big as -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 808935299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -265155, -1060383, -2385685, -4241061, -6626511?\n\"Answer: -265037*v**2 - 117*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + n + 3, 5*r - 5*n - 3 = 12. Suppose 5*v - 2*x + 4600002 = 0, -4*v + r*v = -5*x + 3680005. Round v to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1465256, -2930433, -4395610, -5860787?\n\"Answer: -1465177*n - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6123 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 10*d**2 + 14*d + 10. Let q be z(10). Does 18 divide (2\/3)\/(4\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 - -144.4. Sort 5, 2\/15, c in ascending order.\nAnswer: 2\/15, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/3 (b) 0.1 (c) 40363 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -6*(sqrt(117) + -1))**2 - sqrt(117))*-2.\nAnswer: -5922 + 366*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109484*m**2 + 2*m - 38842?\nAnswer: -218968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -612, 1\/5, -1224?\nAnswer: -612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -1 - 0 - -1. Let a = f + 22. List the prime factors of a\/4 + 1\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 2) + 1 + -1. Let u be (r - 15\/9)*6. Factor u*q**2 - 3 + 3.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17589 (base 10) to base 13.\nAnswer: -8010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3306046 to the nearest integer?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 3 - 3)*((-4 - 4 + 6)*(-2 + 0 + 1) - 2 + 3 + 2) + 33*x + 15*x - 27*x + (4 - 1 - 2)*(x - 2 + 2) - 3 + 3 - x as h*x + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + 25)*((-3)\/(-2) + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68086040*z**6 + 43*z**2 - 1628*z - 141 wrt z?\nAnswer: -8170324800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 16*c - 6*z = 3*c + 4*c - 4, 12 = -2*c + 2*z - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/4 of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-5 - -2)\/3. Let k(y) = -y**2 + 8*y - 2. Let s be k(v). Let p = 16 - s. Solve 2*b + 4*d + p + 2 = 0, -2*d - 10 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87810 and 94.\nAnswer: 4127070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 284115.\nAnswer: 568230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 31*p**2 + 28*p - 22. Let g(z) = -16*z**2 - 16*z + 11. Give -4*b(n) - 7*g(n).\nAnswer: -12*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1014*u**2 + 18*u + 27. What is the hundreds digit of r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b - 2. Let l be 1\/(-1)*-3 + b. Suppose l*j - 42 - 84 = 0. What is the greatest common divisor of j and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1128\/17 in -3, -11172, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -33*j + 178. Give p(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c**5 + 1)*(5 - 5 - 2) - 2*c**5 - 4*c + 4*c + (-2*c**3 + 2*c**3 - 2*c**3)*(2*c**2 + 0*c**2 - 4*c**2).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17468 rounded to three dps?\nAnswer: 0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)\/(11\/(-539)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -19*y + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116.5 + 116. Sort 6, c, 2\/21, 0 in increasing order.\nAnswer: c, 0, 2\/21, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = -4*i + 21, 5*p + 16 = 3*i. Let m = i + -7. Suppose n - 5*n + 184000 = m. What is n rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2493 and 38503?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*s - 0*w - 42, -w + 33 = -5*s. Let h(r) be the second derivative of r**4\/12 + 7*r**3\/6 - 3*r**2 + 282*r + 1. Give h(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -1.15. Let z = -0.05 + s. Let v = -0.8 - -0.4. Which is the biggest value? (a) 4 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 101\/4. Let r = -340 - -2385\/7. What is the second biggest value in f, -5\/2, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 + 2*r. Let m(h) = -8*h**2 - 5*h + 1. Let l(s) = -12*s - 20. Let c be l(-2). Determine c*m(n) + 11*a(n).\nAnswer: n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (33\/(-27) - -1) + 5\/((-45)\/(-47)). Let m(s) = -s**3 - 3*s**2 - 3. Let h(f) = f**3 + 4*f**2 + 3. Calculate u*h(q) + 6*m(q).\nAnswer: -q**3 + 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22243 and 354?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 11:24 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10310 - -20223130221?\nAnswer: 20223201131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*1 - sqrt(180))\/sqrt(12) + sqrt(15))\/(sqrt(48)\/sqrt(4)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33555*m - 33549*m - 3*y + 39 = -38 + 2, -3*y + 15 = -2*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*z - 16577 + 15059 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j + 6. Calculate f(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqoqo. What is prob of picking 1 o and 1 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3708 or -9457?\nAnswer: -3708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (9 - 1 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 20 = 0, -4*t + 40 = -30*j + 34*j for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 1013?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*p = -3*z + 29520, -p + 2 = 0. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from {p: 1, q: 5, d: 2, h: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {c: 1, z: 1, n: 1, o: 2, j: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - x + 14 = 0, -27069*w - 2*x - 1 = -27064*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*f + 15265, f = 2*f + 4. Let l = -8260 + n. Let k = l + 25295\/8. What is the common denominator of k and 37\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 888 + -861. Solve t*k = 21*k - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 24\/4 + (-702)\/72.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 4. Let u(x) = x**2 - 5*x. Let q(g) = -3*g**2 + 10*g + 1. Let h(z) = -2*q(z) - 5*u(z). Let d be h(-6). Let j be w(d). Solve j = 2*r - 1 - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -9 + (-3 - -35) + -27\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 269 = 201. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 4) in base 6?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.21, 3, 24?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 138 + n**3 + 138.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38 and 3898702979?\nAnswer: 3898702941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w - 191. Let b be t(24). Are -1\/1983 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, p: 2, v: 4}. What is prob of picking 4 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442.05991 - 0.06326017.\nAnswer: 441.99664983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.22, 4\/3, -2\/7, 3\/7, 3 in increasing order.\nAnswer: -2\/7, -0.22, 0, 3\/7, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {i: 1, b: 1, c: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:39 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 8*i**4 - 31*i + 18*i**3 - 3*i**4 + 40 - 18*i**3. What is the first derivative of q(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006028481 to six decimal places.\nAnswer: -0.006028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.6. Let c = d - 0. Let s = 1 + 0. What is the closest to -2 in s, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -8.98. Let n = -2.98 + w. Let o = 152.9 - 153. Which is the third smallest value? (a) -0.3 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -506?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + 0.2. Let d = 8972.5 + -8972. Put -3, d, 1, v in ascending order.\nAnswer: -3, v, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133198)\/(-35861)*28\/78?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/(22981\/(-196)))\/(((-24)\/(-14))\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/20 - (-198)\/(-595). Let y = s + 991\/1190. Find the common denominator of y and -59\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 19. What is the greatest common divisor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -309924 and -469?\nAnswer: 309455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**3 - 3*i**2 + i. Let l(t) = -2*t**2 + 2*t - 3*t**2 + 2214*t**3 - 2205*t**3. Determine 3*l(f) - 5*z(f).\nAnswer: 2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - r**2 + 4*r + 6. Let u be p(-4). Let j be ((-27)\/(-4))\/((-1)\/(-8)). Let t = j - u. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54883200 to the nearest 100000.\nAnswer: -54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 2*v**2 - 20*v - 21. Let c be f(-1). Let q(n) = -n**2 - n + 1. Let p be q(1). Let m = 3 + p. Solve m*d + d = c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(3 + -1*2*sqrt(72)*2) + 1)*-2)**2.\nAnswer: -5760*sqrt(2) + 41872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:25 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -240967?\nAnswer: 5\/240967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 2*y - 2. Suppose 4*c - 12 = 16*c. Calculate b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -81, -26, 5, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 9*t - 108. Let l = t + -16. Suppose -l*j + 2*h = 6, -4*h = -7*j + 4*j - 8. Which is the closest to -1\/5? (a) j (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**3\/5 - 41178*h**2\/5 - 28375407*h - 3940339284\/5 = 0.\nAnswer: -6849, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 3*l + 2*m - 111, 4*l = 5*m + 625. Suppose l = 5*g - 40. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 38. Let q be 6\/(-15)*z\/35. Which is the smallest value? (a) q (b) 3\/8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*j + 24 = 0, -5*d + 2*j + 55 = 7*j. Suppose -3*z + 7*v = 2*v + 2, 34 = 5*z + v. Let f be (-92)\/z*2\/(-4). Is f < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 13303 - 13343 - 2*r**2 + 4*r**2. Let z be y(-4). What is the greatest common factor of 512 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16*j**2 - 6*j. Let i(d) = 5*d - 4. Let q(m) = -4*m + 3. Let z(f) = -3*i(f) - 4*q(f). What is l(z(w))?\nAnswer: -16*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 414 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6539 = 51*b - 420 + 1349. What is the highest common factor of b and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101363267?\nAnswer: 101363267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (255*i + 35*i - 4*i)*(2 + 2*i - 2) + i**2 + i**2 - 3*i**2 - i**2 + 2*i**2 - 2*i**2 + (2*i + 2 - 2)*(-4*i - i + 3*i) - 2*i**2 + 3 - 3.\nAnswer: 564*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 times -34489?\nAnswer: -17692857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11541654 is divided by 3847209?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41864 is divided by 439.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 + -82.00000397. What is t rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -16 - (-5 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2))**(-2\/133)*d**(2\/9)*d*d**(-3))\/(d**(4\/3)*d\/d**6)**(-17) assuming d is positive.\nAnswer: d**(-76750\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245570290 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21234060 - -4?\nAnswer: 21234064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 4)*10\/6. Suppose -4*f = 0, -i*t - 4*f + 8 = -t. Solve 4*q + 7*v - 3 = 2*v, t*q = -4*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 2*d, 0 = -2*d + 8. Let n = -33 + -21. Let o be 1\/(-4) + n\/72. Which is the third smallest value? (a) 0.3 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g**2 + g**2 + 4*g**2. Let n(m) be the second derivative of -m**4\/12 - 3*m. What is z(n(v))?\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q + 9*q + 60 - 30*q. Let d be h(5). Let f(z) = -z**2 + 12*z - 18. Calculate f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -1aa9387?\nAnswer: -1aa9382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -2. Let y be (-2)\/12*g\/4. Let l = -512 - -515. Which is greater: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 20*n**4\/7 + 184*n**3\/7 + 48*n**2 + 200*n\/7 + 4 = 0.\nAnswer: -7, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*-22308\nAnswer: -22308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 19\/2. Let n = -77 - -153\/2. Which is the nearest to n? (a) -4 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 354 + -352. What is the closest to -1\/10 in -1, s, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 482788, 965402, 1448016?\n\"Answer: 482614*q + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -86 (base 13) to base 4\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, -3, 4\/17, 5?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(1\/15)\/v*v)*v*v*v**(1\/6)\/v assuming v is positive.\nAnswer: v**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11*s + 3 - 15 + 4*s + s**2. Does 4 divide r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 v when three letters picked without replacement from vvvvvsvv.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/2 - -4 - 3. Let u be v\/(34\/12 + -3). Let b = u + -2. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 284?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -4)\/3 - -3 - -99 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 40, 34, 28, 22, 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-364) - 52\/169?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 10 - 26. Suppose 0*g + l*g = 76. Suppose 5*x - x - 16 = 0. Solve 5*f - n - 21 = 0, 2*f + g - 45 = -x*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/19))**33\/(d**(-1\/20)\/(d\/d**3)) assuming d is positive.\nAnswer: d**(579\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.98. Let w(y) = -14*y - 154. Let n be w(-11). Which is the second smallest value? (a) n (b) 2\/17 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-16)\/2*5202\/(-1156)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8 and -67\/54994.\nAnswer: 219976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*v - 33*v**2 + 0*v + 0*v + 3*v to u*v**2 + d + a*v and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, -9.5, -2, 0 in descending order.\nAnswer: 0, -2, -9.5, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = -5*d + 9, 7 = 2*d + k. Solve 0*s + 4*s = -4*c, d*s + 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1700) + 1 + 1)**2 + 2)*-2.\nAnswer: -3412 - 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10560 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -18, -48, -90, -144, -210?\n\"Answer: -6*y**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6708 by 4.\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 - 8*l**2 - 57*l + 359. Let n be h(6). Calculate the greatest common divisor of 143 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 424, 963, 1718, 2689?\nAnswer: 3876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 4743?\nAnswer: -4\/4743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.5. Let d = -1919 + 1918.7. Put -4, d, n, -0.04 in descending order.\nAnswer: n, -0.04, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.132 * -92.2\nAnswer: 12.1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7 - 3 + f - f**2 - 5*f. Let n be -18*(0 - 3\/6). Let a = 5 - n. Calculate l(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 54 + 4*l + 8*l**2 - 18 + 345 - l to q + y*l**2 + s*l and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59366 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41899*g**3 - 13876*g**3 + 94886*g**3 - 22377*g**3.\nAnswer: 100532*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292 + 292 - 101*a to the form d + g*a and give g.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10396 or 0.1?\nAnswer: -10396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18, -3, -2\/19 in decreasing order.\nAnswer: 18, 5, -2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -5, 131, 21225?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 6:20 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -106, -154, -204, -256?\n\"Answer: -d**2 - 45*d - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2351, -2323, -2277, -2213, -2131?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115777?\nAnswer: 115777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188906 to the power of 1\/2, to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4.029. Let f = 26 - 26.0236. Let s = u + f. What is s rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/11 + 19127*v**2\/11 - 91450968*v\/11 - 91470096\/11.\nAnswer: -(v - 9564)**2*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - m - m + 8, -1 = -4*w - m. Let d be (-3 - -1)*w - -3. Solve 2*k = k + d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154418991*d**2 - 262710*d + 71 wrt d.\nAnswer: -308837982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 3*g**2 + 8*g + 8. Calculate j(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + -2 + -1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q - 1098. What is k(-28)?\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 60928620 divided by 5\nAnswer: 12185724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-2) + (-7)\/(28\/(-6)). Which is smaller: i or 8\/219?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + z + 4. Let f be t(2). Suppose -14 = -f*i + 12. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*1*13739\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1258, -5315, -12078, -21547?\nAnswer: -33722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2761421*x**3 + 781708*x**2 + 2*x wrt x?\nAnswer: -16568526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75093 divided by 21?\nAnswer: 25031\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -214?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 17. Give y(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 6*o - 8 - 4*o)*(95 - 17*o**2 - 95).\nAnswer: 17*o**3 + 136*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9738, 9303, 8868, 8433, 7998?\nAnswer: 7563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16342357505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5687 (base 9) in base 6?\nAnswer: -31254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 395 - 362. Calculate the remainder when 657 is divided by o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3844 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssm when three letters picked without replacement from spomsoss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 - 8*j**2 + 6*j + 2. Let z be d(-7). Let o = 35\/356 + 12037\/2492. What is the common denominator of o and z\/270 + 6\/15?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017726 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 + 337*x**2 + 708*x + 273. Determine t(-54).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**2 + 10*r - 24. Suppose 0 = 10*m - 4*m - 12. Suppose 3*c - 23 = -2*y, c - m*y = 1 - 4. Is o(c) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -259 (c) 3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17470709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**7\/2520 + 17*b**5\/20 + b**2 - 6. Let c(a) be the third derivative of v(a). Let r(p) = p**2 - 1. What is r(c(o))?\nAnswer: 4*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + 23. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1549698479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 4 (b) -1\/7 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 40. Suppose 2*u = r + j, -3*r = 2*r + 4*u + 100. What is the tens digit of 88 + (-9)\/((-45)\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7290.4 or -3629?\nAnswer: 7290.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + f - f + (0 + 0 + 2)*(-f - 3*f + 3*f) + 50 + 17*f - 50 to m + x*f and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-17)\/(-5))\/((255\/225)\/17). Solve -17*c = -0*c + v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 117, 177, 261, 375, 525, 717, 957?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let i(n) be the second derivative of 1\/60*n**5 + 0 - 1\/36*n**4 + 0*n**3 + w*n + 0*n**2. Factor i(r).\nAnswer: r**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 150 = -2*l - 184, -31 = 3*l - 2984*x + 2985*x for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403863 is divided by 7273.\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8 + 6\/28. Let a = -593\/5 + 119. Let w be (8\/(-9))\/(4\/(-6)). Sort w, y, a in ascending order.\nAnswer: y, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -92, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 + -4.72. Let u = r + 0.22. Let y = -0.7 + 0.9. Which is the nearest to u? (a) -0.2 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -0.4 (c) 2 (d) -0.03 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h = 59*h, 0 = -3*r - 2*h - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*u)*(0 + 5 - 3)*(-79 - 25 - 17) in the form d + y*u and give y.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 - (7 - (0 - -12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110011010111001 (base 2) to base 10\nAnswer: -26297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2 = -n, 380*n + 12*p - 36 = 378*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-936)*6)\/((-5)\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - ((-7 - -5) + 9)) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 6*l + 258. Let h be c(0). Let k = h + -1284\/5. Factor 0*f**2 + 0*f**3 + 0 + 0*f - k*f**4.\nAnswer: -6*f**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 34.3703.\nAnswer: -584.2951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and 14481.3665?\nAnswer: 14481.3965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(294))\/sqrt(7))\/((sqrt(21)*1)\/sqrt(7)))\/(6*(sqrt(242) + (sqrt(242) - -1*sqrt(242)*-1))).\nAnswer: sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 0.06907.\nAnswer: -0.62163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -905 + 5?\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**2*m**2 + 96*g**2*m - 178*g**2 wrt m.\nAnswer: 4*g**2*m + 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**5 - 7*a**5 + 32*a**5 + (0*a**2 + 0*a**2 - 2*a**3)*(-2 + 2*a**2 + 2) - 2*a**5 + 0 + 0 - 3*a**3 + 3*a**3 - a**5.\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z. Suppose -4*g - 5*f + 14 = 0, 3*g = -4*f - 0*f + 10. Let r(w) = w + w - 2*w + g*w. Give r(u(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:04 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*q**3 + q**4 + 2*q + 0*q - 172*q**3 as t*q**3 + k*q**4 + d*q + j + p*q**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 2)*(-9)\/9. Suppose w*o = 3*p + 126, -4*p + 49 = 2*o + p. What are the prime factors of o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1330*p - 7296 = 114*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5360 or 5358?\nAnswer: 5360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) -1 (c) -8 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 169*u**5 - 455*u**4 + 186*u**3 + 92*u**2 + 8*u = 0?\nAnswer: -2\/13, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108240.\nAnswer: 2, 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1147748 divided by -66.\nAnswer: 573874\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m**2 - 19*m + 21. What are the prime factors of d(8)?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 55*b**2 - 2*b + 77. Let i(t) = t. Determine i(f(h)).\nAnswer: 55*h**2 - 2*h + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(7\/(-28)). Suppose -3*d - 31 = 5*u, 3*u + 17 = -2*d - z. Let o(r) = 11*r**2 + 5*r + 7. Is o(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248378, -496706, -745034?\nAnswer: -993362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - -0.6. Let r = i + 0. What is the second biggest value in 0.1, r, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236720 by -10760.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.7*365.\nAnswer: 3175.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 15*q. Let t(g) = -39*g**2 - 5*g - 5. Let j(i) = 17*i**2 + 2*i + 2. Let c(p) = 10*j(p) + 4*t(p). Determine k(c(s)).\nAnswer: 210*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -773 plus 164924?\nAnswer: 164151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 3 - 3 + (4*o - 3*o + o)*(-2*o - 2 + 2).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -11. Let b = -0.72 - -0.7. Which is bigger: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3247196, -3247153, -3247108, -3247061?\n\"Answer: p**2 + 40*p - 3247237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 4:13 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1436830, 1436831, 1436830, 1436827, 1436822, 1436815?\n\"Answer: -m**2 + 4*m + 1436827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92718 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9223640.\nAnswer: 2, 5, 293, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229709 and 94607?\nAnswer: 244180667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4316235 divided by -56055.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*i**4 - 9*i**4 + 12*i**4 + (11*i**3 + 36*i**3 - 15*i**3)*(3*i + i - 2*i) to the form o*i**4 + g*i**2 + a*i + l + r*i**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*(j\/(j*j*((j**(-3\/5)\/j)\/j*j)\/j*j))\/j*j)\/j*j*j**(-8))**(-41) assuming j is positive.\nAnswer: j**(1107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 765 and 11424.\nAnswer: 171360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5583442?\nAnswer: 2, 2791721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 10*j - 3. Give x(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 213 + -114 + (-42 - (-7 + 1)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12100001 - -100900001. Suppose o = -29*k + 21*k. What is k rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - -1.98. Let g = -2.1 - -2. What is the nearest to m in 2\/9, g, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = 13*b + 1 + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**2. Let o be j(-1). Suppose f = 4*f - o. Sort f, -3, 4.\nAnswer: -3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - ((-2074 - 4) + 6)?\nAnswer: 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 2*z**2 - 4*z**2)*(2*z**2 - 2*z**2 - z**2 + (-4*z - 2*z + 3*z)*(-3*z + 2*z - z)).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 = -0*c. Let q(f) be the first derivative of 1\/14*f**4 - 2\/35*f**5 - c + 0*f**2 + 0*f + 0*f**3. What is g in q(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3857937020 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71.3 - 71. Suppose 5*t = 4*t - 1, 4*d - 2*t + 2 = 0. Let s = -0.3 - -0.3. Which is the closest to d? (a) l (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -84. Let y = 78 - q. Calculate the remainder when y is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1030)\/(-154) - 6 - (-6)\/(-11). Let s = 5 + -20. Sort s, 5, i, 1\/4 in descending order.\nAnswer: 5, 1\/4, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4, 134*m - 139*m + 3*v + 13 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + l**5 + 2*l**2 + (49*l**4 + 120*l**4 - 23*l**4)*(-1 + 2*l + 1) + l - l - 5*l**5.\nAnswer: 288*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58811*a + 6 - 6 + 74448*a.\nAnswer: 133259*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/3)\/((i*(i*i*i**(-20))\/i)\/i)*i**(14\/5)*i*(i\/(i*i\/i**(-9)))\/i)**(-41) assuming i is positive.\nAnswer: i**(-6437\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Let x be 7*(a + (-921)\/21). What is x rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Suppose 0 = -i*h + 2 + 4. Let k(p) = -3*p - p**h + 4 + 0 - 6. What is k(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y - 6. Suppose -5*z = -y*p - 29, 3*z - 25 = -0*z + 5*p. What is the lowest common multiple of 7 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = v - 12 - 1 - 2, -15*v + 33 = -z - 3*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -7?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1 + 4\/4. Suppose 1 = 2*o - 5*r, 3*o + r = 6 + 4. Suppose 31*q = 35*q. Solve q = i*j - o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05517 + -0.37274692\nAnswer: -0.42791692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14835177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -16\/3*h + 46\/3*h**2 + 10\/3*h**4 + 2\/3*h**5 + 0 - 14*h**3 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w - 410*w**3 + 55*w + 19*w - 123*w.\nAnswer: -410*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -278*f*h - 54*f + 12 wrt h?\nAnswer: -278*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21783*d**2*n - 14*d**2 - d - 519 wrt n.\nAnswer: -21783*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Let o = 118 - 469\/4. Which is the nearest to 0.1? (a) g (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 28*s - 93. Let b be t(-6). Suppose 1879 = b*a - 311. What are the prime factors of a?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1\/17, 2017 in ascending order.\nAnswer: -1\/17, 14, 2017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y - 5*a = 228, 0 = -2*a - 129 - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-9) - 3)\/(186\/(-2232)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/26)\/((-6)\/24). Sort 0, -2, m in descending order.\nAnswer: 0, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 153*a**2 - 3778*a + 122. Determine y(-31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1623*189942\nAnswer: -308275866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 - 20*p + 9. Calculate r(12).\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v - 12*v + 40*v - 241 - 9*v**2 - 5*v - 14*v to the form m*v + f + a*v**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1979, -9099, -20985, -37637, -59055?\nAnswer: -85239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827985\/31 greater than or equal to 155742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p**2 - p - 9. Let n be f(-4). Let y = 47 - n. Let u = y - -37. Solve 5*m - 16 = u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - g = -1628, -23*n - g + 8120 = -18*n. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + -2)*4 - -6*(sqrt(1331) + -2))**2 + ((sqrt(11) - sqrt(99)\/(sqrt(63)\/sqrt(7))) + sqrt(1331) + sqrt(1331) + 2 + sqrt(1331) + sqrt(11))**2.\nAnswer: -4264*sqrt(11) + 146220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4 - 0)\/(3\/2). Suppose -3*u + 7 - s = 0. Let b(q) = -q**3 - q**2 + 2*q + 2. Let g be b(-3). Solve d - g + u = 4*k, -3*d + 14 = -k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*s - 50, 2*a - 2*s - 30 = -6*s. Let k = a - 19. Let b(j) = 2*j**3 - 6*j**2 + 5. Is b(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 + 3 - 3*x**2 + 3*x**2 - 9*x**3. Suppose -2*w - 5 = -l + 2, -3*l + 16 = -5*w. Let v(b) = 5*b**3 - 3*b**2 - 2. Give l*j(s) - 5*v(s).\nAnswer: 2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**8\/84 - t**5\/20 - 2*t**2. Find the third derivative of p(d) wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.18?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 21*k - 12*k - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/10? (a) -37 (b) 6 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461219.31 microseconds to hours.\nAnswer: 0.000128116475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23903480 to the nearest integer?\nAnswer: 4889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18103939 >= 18103945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4890 and 690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.5 - -160.5. Let q = -188.4 + v. What is the second smallest value in q, 0.3, -46?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(9*6\/48*12)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 25?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 4*w**2 + 2*w**2)*((-w**2 - 1 + 1)*(5 - 2 - 1) + 4*w**2 - 4*w**2 - 2*w**2)*(-99 - 29 + 76).\nAnswer: -416*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.791 + 30.0061.\nAnswer: 30.7971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r - 6*r**2 - 15*r + 22*r**2 + r to a*r + z + s*r**2 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425017.74 rounded to the nearest 10000?\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/57, -2, 0.011, 0.2, 3, 0.3?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -97102, -194210, -291318, -388426?\n\"Answer: -97108*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 184, -75 in descending order.\nAnswer: 184, 17, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -3*b + 5*o, 657*b + 50 = 659*b - 7*o + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -442 - -286. Let l be (6\/9)\/((-2)\/f + 0). Suppose -36 = t - l. What is the lowest common multiple of t and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*b + 41*b - 19*b - 28 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 8*y + 1\/2*y**2 + 0*y**3 - 6*y**4 + 36. What is the second derivative of x(r) wrt r?\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9562 is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*a + 38 - 38)*(12 - 1 - 5).\nAnswer: 102*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505261?\nAnswer: 199, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8*i - 13*i = 0. Let w(b) be the second derivative of 5\/12*b**4 + 0 + 38*b + 0*b**2 - 3\/8*b**5 + 1\/12*b**6 + i*b**3. Find j such that w(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 127\nAnswer: -11\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -169, -195, -219, -241, -261, -279?\n\"Answer: n**2 - 29*n - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 408445061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejej when four letters picked without replacement from jejjeejejjjejjjeeee.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**4 - 4*o**4 - 9*o**3 - 3*o**4 + (-1 - 3*o**3 + 1)*(3 - o - 3).\nAnswer: o**4 - 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76)*-3 + 0)**2 - 3*(-5 + 1*sqrt(76))**2)*1.\nAnswer: 60*sqrt(19) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -4519, 83, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 3:17 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -27.5.\nAnswer: 137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/63, -1\/3, -2\/23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.547 to 1 dp.\nAnswer: -55.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -17456.\nAnswer: -17456.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 2. Suppose -c = -4*u - 11, 2*c + 2*c = 2*u + 2. Let s be w(u). Find the first derivative of -2 + s + 5*y**4 + 19*y**4 wrt y.\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let u(g) = -g**2 + 9*g + 4. Let f be u(5). Let n(m) = -f + 24 + 2*m**2. Determine n(s(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -21*f + 0*f**2 + 13\/3*f**3 + 14. What is the first derivative of h(w) wrt w?\nAnswer: 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99552907*w**4 + 6*w + 591417 wrt w?\nAnswer: -1194634884*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 less than -4.4112624?\nAnswer: 56.5887376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = -4*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - i)*(0 - 3 - 5).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 115073101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 11. Let c(q) = 12*q - 45. Let l(f) = -2*c(f) - 9*s(f). Let t(o) = -4*o + 13. Let z(g) = -7*l(g) - 5*t(g). Determine z(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4754a + -4?\nAnswer: -47551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -3, 45, 0.13, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8395.304 millilitres in litres?\nAnswer: 8.395304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4658 divided by 1?\nAnswer: 4658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q\/(q*q\/(q\/q**2)))\/q)\/q)**(-33) assuming q is positive.\nAnswer: q**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -898 divided by -15203.\nAnswer: 898\/15203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 257, 256, 243, 212, 157?\n\"Answer: -t**3 + 6*t + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -523423325 + 0?\nAnswer: -523423325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + h + 45 = 3*q, -q + 3*h - 26 = 0. What is the tens digit of (q + 41)*(-4)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212808649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38556 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10453361 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*u = a - 1, 4*a - u - 17 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2)*q))**(-15\/8)*(q*q\/(q**(-3\/5)*q))**(-43))**(1\/4) assuming q is positive.\nAnswer: q**(-1451\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 348 = y, y + 4*y = 3*a - 278. Let x = 168 + -83. Which is smaller: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 14 - (19\/((-95)\/75))\/((-15)\/10). Let b be 7\/2 + (-1)\/(-2). What is the nearest to r in -0.04, b, -0.2, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13341677 (base 9) to base 13\nAnswer: -1495b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-46)\/3) + 12\/18. Suppose -5*d - 4*j = -191, -j = -d + i + 25. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + -29. Let c = n + 70. What are the prime factors of 2\/1 + 115 + (-2 - c)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 25660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 20 = -9*f + 6*f, -3*f + 20 = z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 97 (b) -4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -1*(-30)\/(-5). Solve -i - 3*t = -10, 1 - 9 = q*i - t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 5*z**2 - 5*z - 5. Let p(v) = -39*v - 316. Let f be p(-8). Give t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Suppose 4*q + 3 = -z. Is q smaller than -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2909 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-16) + 8755\/20. Let l = o + -286. What is l rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-2*l - 3*l**5 + 2*l).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43 - 9*m**3 - 106 + 94 + (4*m**2 - 2*m**2 - m**2)*(-4 + 4 - 2*m) + 3*m**3 - 2*m**3 + 2*m**3.\nAnswer: -8*m**3 - 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1458 divide 587738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**3 - 199*d**2 - 22*d + 59. What is u(20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 18*s = -79*s - 12*s - 34 - 70, -p - 4*s = -1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose m = -5*j + 3*j - 5*v + 29, -3*v = j - 13. Let c = j - 16. What is the smallest common multiple of 2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*t - 76, -y + 0*t + 4*t - 2 = 0. Let p(d) = d + 9. Let c be p(y). Put -3, c, -7 in increasing order.\nAnswer: -7, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65094 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqs when three letters picked without replacement from {q: 1, s: 7, y: 6, k: 4}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 8*o + 5. Let i be w(6). Suppose -4*b - 2 = -2*j - 6, 5*b - i = 4*j. Let s be 45\/(-6)*j\/5. Solve g - 30 = -5*d, -d = 5*g - 18 - s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000116090924 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 341. Let o(r) = r**2 + 90*r. Calculate k(o(s)).\nAnswer: 2*s**2 + 180*s + 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 1. Which is the third biggest value? (a) -3 (b) 3 (c) w (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100120111 + 0?\nAnswer: -100120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2829\/425 or -8?\nAnswer: 2829\/425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 != -772\/287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*a - 49*a + 96*a)*(114 - 114 - 10*a) as i*a**2 + k + g*a and give i.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -15*i - 2. Let u(j) be the third derivative of -5*j**4\/24 - 76*j**2 + 3. What is r(u(h))?\nAnswer: 75*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k - 6. Let r be 22\/6 + k\/9. Suppose 0 = 4*o + 2*w + w - 16, -r*w = -16. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 2:04 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-8)*1\/(-3). Let n = -0.9 + -0.1. Let c = n + -1. What is the nearest to 0 in c, h, 5\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 43461.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -2\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 1:00 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20807080 minus 5.3617?\nAnswer: -20807085.3617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -51. Let n = 4 - 3.8. What is the third smallest value in n, 0.4, -2, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*x + 23 = 0, -5*z + 281 = -2*x + 280 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 19*s - 209. Let h be y(11). Factor 14\/13*m**2 + 6\/13*m + 10\/13*m**3 + 2\/13*m**4 + h.\nAnswer: 2*m*(m + 1)**2*(m + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = 30*o - 36*o. Is 90\/7*1862\/o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -2\/9, 8, 4, 0.08, 4\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11425.\nAnswer: 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**6\/24 + z**4\/8 - z**2\/8 - 7. Factor d(v).\nAnswer: -v*(v - 1)**2*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136897.03 - 136897. Let h = -12\/29 + 111\/58. Let u = 3.4 - 3. Put u, 0.3, d, h in decreasing order.\nAnswer: h, u, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2155245252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544824 is divided by 3537.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(156)\/sqrt(4)*-6)\/(sqrt(432)*-1))**2.\nAnswer: 2*sqrt(13) + 29\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1 - (-42)\/(-15))*5. Let p = v - -11. Let n = 10 + p. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 335 + -326. Put x, 7, -5 in increasing order.\nAnswer: -5, 7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(1\/4)\/f)*f*f*f*f*f*(f**5*f)\/f)\/(f**2*f**(-1\/3))*(f**(1\/2)*f\/(f**(-3\/5)*f))\/(f**(-1\/6)*f\/f**(-5\/3)) assuming f is positive.\nAnswer: f**(581\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 537*k**2 + 66 + (k + k**2 - k)*(1 + 3 - 1))*(-2*k**2 - k**2 + 0*k**2).\nAnswer: -1620*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/23)\/q)\/(q*(q\/((q*q**(-2\/3)\/q*q)\/q)*q)\/q*q)*(q**(-2\/7))**(-40))**3 assuming q is positive.\nAnswer: q**(3308\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = j - 3*j - 5*w, 156 = -4*j + 4*w. Let k = -35 - j. Let d be 5\/5*(21 - k). Solve 2*u + 2 = 0, -5*y - d = -4*u - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 + -3. Let k = 1.3 + -0.2. Let q = l + k. What is the second smallest value in q, 2, -2\/21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 + o - 546. Let h(n) = -2*n + 1866 - 5606 + 1873 + 1867. Calculate h(m(y)).\nAnswer: -8*y**2 - 2*y + 1092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3797 = 145*v - 698 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 271 = 2*z. Suppose -9*l + z = -52. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 41. Let q(w) = -9*w**2 + 3*w - 3. Let d(a) = 18*a**2 - 5*a + 5. Let u(l) = c*q(l) - 3*d(l). Let h(j) = 2*j. What is u(h(k))?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0) + 2 + (5 - 5). Suppose -5*o - k - 20 = 4*k, -g*o + 3*k + 6 = 0. Sort -2, 12, o in decreasing order.\nAnswer: 12, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - w = 8, 3*r + 12 = -4*w - 11. Let m = -5 - 1. Let l be (5\/9)\/(2\/m). Which is bigger: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.492901 years in centuries?\nAnswer: 0.03492901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 5*z**2 - z - 3. Let j be r(-5). Let k be 4 - (-6 + j + 3). Suppose -b = 1, -k*q + 3*b = 4*b - 54. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 11. What is the closest to m in 0.1, -0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.084 - -0.04. Let k = m + -31.956. Let c = k + 31.999906. What is c rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26743 and 1833.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -300*n**3 - n**2 - 6*n. Let f(u) = u**3 - u. Let h(p) = 5*f(p) - y(p). Is h(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 - 0?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002932616 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1540069, 2 in decreasing order.\nAnswer: 1540069, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 431648212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499)*-1)\/sqrt(3).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63561*d**3*o**2 + 4*d**2*o**2 - 3*d**2 - 78*d*o**2 - 2*d wrt d?\nAnswer: -381366*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-14 - (3 - 5)) + 7 - (-59 + 17)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:24 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -6, -3*x + 5321*z = 5324*z - 87 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/30*17 - (-36)\/(-54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -38*m**3 + m**2 + 2*m. Let d be v(-1). Suppose 33*j = 34*j - d. What is the second derivative of 18*t**3 + 2 - j*t - 2 + 0 wrt t?\nAnswer: 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(108) + (sqrt(108) + -2)*2 + sqrt(108) + 3.\nAnswer: 3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 8. Let m be 8 + 6\/(-1 - x). Is (-5)\/(-10) - (-2463)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 101\/3 + (-8)\/(-24)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*k - 45, k + 13 = -b + 3*k. Suppose 0 = 5*f + 25, -21*r + 25*r - 4*f - 1348 = 0. Let z = -334 + r. Sort b, 6, z in ascending order.\nAnswer: b, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3623842 and 8912.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2301333 - 1301?\nAnswer: -2303300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/2948620 and -63\/4717792.\nAnswer: 23588960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14163 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -22 + 50 - 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -3 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 12. Let p be x(6). Suppose -1\/4*v**3 + 0 + p*v**2 + 1\/4*v = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3425*n**3 - 1557*n**3 - 1328*n**3 - 2*n**4 + (n**3 + 3*n**3 - 3*n**3)*(-5*n + 2*n + 2*n).\nAnswer: -3*n**4 + 540*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gctccnhmmcgchghmmmgg. Give prob of picking 3 m and 1 c.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 57 - 3*a + 2*a + 24 in the form s + u*a and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 1. Let j(t) = 3*t - 8. Let n(m) = 3*j(m) - 3*y(m). Let l be n(4). Suppose l - 18 = -5*k. Solve 1 = 4*i - k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 54.6. Put x, -3\/2, 5, -2\/9 in decreasing order.\nAnswer: 5, x, -2\/9, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205994355 to the power of 1\/2, to the nearest integer?\nAnswer: 14353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b + 3*b. Let m be (6\/(-12))\/(b\/(-176)). Let o = m + -51. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12600853.\nAnswer: 1667, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*z = -91*z - 168. Let g(j) = -j**3 + 8*j**2 - 6*j + 4. Determine g(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -287246 and 3.675465?\nAnswer: 287249.675465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*u**3 - 10375*u**2 - 2*u - 401182 wrt u?\nAnswer: 138*u - 20750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -2. Let d = k - -0.4. Let y be ((-264)\/(-4554))\/((-4)\/(-6)). What is the third biggest value in y, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 98. Let f be j + -3 + -3 - -29. What is the third derivative of 5*w**2 - f*w**6 + 16*w**2 - 12*w**2 - 7*w**6 wrt w?\nAnswer: -3960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 38*w**2 + 353*w - 695. Give d(-46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -1\/4, -40926018 in decreasing order.\nAnswer: -0.04, -1\/4, -40926018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 111506882 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3252 by -5.\nAnswer: -3252\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c. Let m be r(-1). Suppose 2*x + 8 = -f - 6, -4*x - 28 = -5*f. Let k be 3\/x + 30\/21. Solve -m*g + h + 3 = -0, -g + h = -k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -61538942090051.\nAnswer: -61538942090049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1974, 3934, 5892, 7848, 9802, 11754?\nAnswer: 13704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743140 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*n - 16 - 45 = 0, 0 = -5*b - 4*n + 40. Find the common denominator of b and 54\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-4) - -5)\/(1\/5386). Suppose -3*z + 2016 = -3*u, -4*z + 3*u + q = 4*u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575 + 4*n**2 + 5*n**2 + 3*n**2 - 1273 + 698.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 9, 3*q + q + 5*s = 1269. What are the prime factors of q?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 2)*(-4*n + 3*n + 0*n) + 27*n - 51*n + 12*n)*(-2 + 2 + n).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60271881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*a - 20 = -4*v, -4*v + 20 = -4*a. Suppose -6*q + 1053 = -v*q. Suppose -13*l = -4*l - q. Is l a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17835 + 6536*g - 17835 to the form s + f*g and give f.\nAnswer: 6536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*-4 + sqrt(33)\/sqrt(275))**2.\nAnswer: 1083\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - 10*l - 6. Let z(o) = 3*o**3 - 9*o - 5. Let d be 1\/(-5) - (-1798)\/290. What is d*z(q) - 5*c(q)?\nAnswer: 3*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301856 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.8. Let k = w - 0.2. Let o = -0.9 - 0.1. What is the second biggest value in -0.4, o, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -952 divided by 68?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaaaaaaaabaaabaaa. Give prob of sequence bb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 53 + 15725*p.\nAnswer: 15725*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/2523 - 57953\/95874. Find the common denominator of g and -89\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -947 + 950. Let m = -2.2 - -0.6. Let g = -1.4 + m. Which is the smallest value? (a) x (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2831 and 1900581?\nAnswer: 1903412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10016 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 6*k - 6. Let v be -2*(2 - -81)*5\/(-10). Suppose -8*l - v = -131. Determine j(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, a: 9}. What is prob of sequence iaia?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.5 and 57380908?\nAnswer: 57380915.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2\/9 + 26368*f\/9 - 86908928\/9 = 0?\nAnswer: 6592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = 10*z - 126 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 575064 and 81?\nAnswer: 5175576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (6 - (-6 + 10) - (-4 + -2))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o - 62. Determine d(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32469042 divided by 317?\nAnswer: -102426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 5*l = 12. Let o be (2 - 48\/10)\/((-2)\/5). What is the nearest to o in 5, 1\/16, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - n + 5*n)*(166 + 247 + 21) to the form w + i*n and give i.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3273, 3349, 3425, 3501, 3577, 3653?\n\"Answer: 76*y + 3197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 not equal to 0.12529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 - 922\/7. Let w = 0.16 + 0.04. Is w equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220187057?\nAnswer: 47, 659, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4\/7 - 50644*y**3\/7 - 158899136*y**2\/7 + 8893316080*y\/7.\nAnswer: -4*y*(y - 55)*(y + 6358)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.138839*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11748809 is divided by 1009?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993546407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*s - 132 = 321*s - 155*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109918 - 24971. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.52? (a) -1 (b) 2.42 (c) 2\/5 (d) -26 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 3*d + 7. Let i be m(-5). Let u = -3 - i. Suppose -3*r - 3 = 3*y, -4*r + 0*r - 5*y - 7 = u. Solve -4*z = -4*p - r*z - 14, -4*z - 12 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-35))\/(12\/(-30)*4)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(7 - (-8 - -5)). Sort -58, 1, 5, d in ascending order.\nAnswer: -58, d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -12\/5 (c) -1 (d) 0.5 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 3*k**2 + 9*k - 6. Let d be g(5). Let o(z) = -3*z - 28. Let q be o(d). Suppose -2*f + f + 21 = 0. Solve 4*r = -f + q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 + 1. Let b = -0.05 + 0.15. Let d = 0.96 - -0.04. What is the nearest to c in d, b, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.3. Let v = 213 + -214. What is the nearest to k in -2\/9, -0.4, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from xdzdxddzxxdxwxyddd.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**5\/20 - 19*w**4\/12 + 55*w**3\/6 + 363*w**2\/2 + 1909*w. Factor r(g).\nAnswer: (g - 11)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.53 + 1.23. Let l = -3 - -3.3. Let z = l + d. Which is the smallest value? (a) 1 (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66*((-246)\/(-18) - -1). Suppose 692 + n = 5*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.2. Let a = 0.2 + s. Let z be -7*(-32)\/280 - (-58)\/(-60). What is the second smallest value in a, 2, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1 + 5*v - 6 + 0. Calculate the remainder when a(4) is divided by (38\/57)\/(2\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 310140?\nAnswer: -310132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174755699?\nAnswer: 17, 37, 59, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1018433*k**5*w + 2*k*w + 3*k - 12313*w wrt k.\nAnswer: 20368660*k**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 6. Let i(k) = 18*k + 17. Let s(n) = 6*i(n) + 17*r(n). Let d(q) be the first derivative of -5*q**3\/3 - 1583. Give d(s(c)).\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*a + 15, l = 2*a - 3 - 3. Let h(d) = 318*d - 3*d**2 - 312*d - d**2 + d**3. Let y be h(a). What is the greatest common factor of 216 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 284*q**2 + 2*q + q + 1 - 281*q**2 + (0 - q**2 + 0)*(9 + 5 + 5) + (0*q - 4*q + 3*q)*(-q - 1 + 3*q + 2) to y*q + a*q**2 + b and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.3497 - 0.6503. Let y = 3 - 3.2. Sort y, 0.3, 1, b in descending order.\nAnswer: 1, 0.3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 23. Let c = y + 15. Suppose -18 = 2*t - 5*w, -5*t + 5*w = 19 - c. Are t and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -29 + -4 - (28 - 32) - 13?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-9 - -8 - -2) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 335 (b) 0.3 (c) 5 (d) -2 (e) -0.01 (f) 0 (g) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 3. Let b(d) be the third derivative of d**4\/12 + d**3\/3 + d**2. Let a(n) = 19*n + 92. Let o be a(-5). Determine o*b(g) + 2*k(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*i = -237*i - 99 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 3\/34, -1\/7, 11, -2 in descending order.\nAnswer: 11, 3\/34, -1\/7, -0.19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and 34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320710 and 80600?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24712 divided by -6178.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17763882 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 656023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.419844 minutes in hours?\nAnswer: 0.1069974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/13, 360, 11?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0299972 + -0.03. Round n to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40494 divided by 13498?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 2*s. Let m(p) = -p**3 - 6*p**2 + p + 8. Let c be m(-6). Let x = 1 - 2. Let o(y) = y**2 + y. Give c*o(n) + x*d(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*k**3\/7 - 43224*k**2\/7 - 46716498*k\/7 - 18679684\/7 = 0. Calculate k.\nAnswer: -2161, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -3. Suppose -y*n = 41 - 137. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2887 + 16183.3?\nAnswer: 16183.5887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57214, -114034, -170468, -226510, -282154, -337394, -392224?\n\"Answer: j**3 + 187*j**2 - 57388*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**6\/70 - 27*f**5\/140 + f**4\/7 + 18*f**3\/7 + 1423*f. Solve y(l) = 0 for l.\nAnswer: -9, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:10 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002443 rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58630460?\nAnswer: 2, 5, 7, 29, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1032, -1876, -2720, -3564, -4408, -5252?\nAnswer: -6096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 3\/2)*10. Suppose d*s = -22 - 8. Let f be 10\/s - (-1)\/(-3). Which is the third smallest value? (a) -1\/5 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524075 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 25*n**3 - 15*n**2 - 2*n - 6. Let k be a(3). Put -1, k, -2 in decreasing order.\nAnswer: k, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1501 - 1479. Solve 21 = -0*p + 3*p + 3*z, z - u = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 11*s - 6. Let y be v(10). Suppose 3*b + 4 = -i, 4*b = -2*i - 10 + 2. Suppose 3*t + b*c - 4 = -5*c, -7 = -3*t - 2*c. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/108*(-6)\/(-102).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/33 and ((-1)\/(-5))\/((-1056)\/120).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -2*k**6\/15 + 2*k**5\/5 - k**4\/3 - 51*k. Factor g(n).\nAnswer: -4*n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 19*b - 20*b = 6, 0 = 2*b - 8. Solve 10 = 6*c - j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-4) - 2\/8. Let t be 502\/(-10)*5\/(-4). Let b = t - 63. What is the nearest to 2\/3 in w, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 1. What is z(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 b when four letters picked without replacement from rrbrbrrrrrrbsrsb?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10*0.000585\nAnswer: -0.00585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6967552 and 12512?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2 + 21*j - 12. Let s be c(-8). Solve -s*h = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 15. Let p(x) = -x**3 + 3*x**2 - 4*x + 3. Let a = -13 + 15. Let i be p(a). Let t(h) = -1. Let b(n) = i*z(n) - 15*t(n). Calculate b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:14 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -586*b**4 - 8*b**3 + 20*b**2 - 1576984?\nAnswer: -2344*b**3 - 24*b**2 + 40*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8)**15\/(d\/d**(-33)*d*d**13) assuming d is positive.\nAnswer: d**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6008*q**4 - 15*q**2 - 7*q + 44?\nAnswer: 144192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-18)*84\/14*(-1)\/(-20)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Let i = 2506 - 2501. Solve -i*h - 5*y = 15, -4*y - p = -4*h - h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6 - 2 = 0. Let p = -3 - n. Do p and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10925985 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83 - -7?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 20*t**2 + 6092*t + 3642. What is b(-304)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g. Let q(s) = s - 5. Let m(u) = -u + 6. Let k(n) = -5*m(n) - 6*q(n). Give k(d(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 + -35. Let q = m + -44. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/1)\/(5\/(-42*(-10)\/(-60))*-2)\nAnswer: -77\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 818424629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 21 = 3*i, 4*o - i = -6 + 13. Suppose 0 = o*k - 2*r - 36 + 1, 0 = -5*r + 25. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 3*u + 15. Let m(c) = -c**2 + c - 1. Let d(l) = -3*m(l) - n(l). Differentiate d(z) with respect to z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-19)*x**(-31)*(x\/(x*x*(x**(1\/19)\/x)\/x))**37)**(3\/10) assuming x is positive.\nAnswer: x**(-426\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 37.2.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from vvwwhvvvwvwwv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t**3 + t + 5*t**3)*(12*t**2 + 5*t**2 + 12*t**2).\nAnswer: 29*t**5 + 29*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(1\/(-1)*2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-6) - (-235 - -228)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**4*o - 2*m**4 - 212*m**3 - 10*m - o - 3 wrt m.\nAnswer: 36*m**2*o - 24*m**2 - 1272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49372 divided by -1340.\nAnswer: 12343\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-3)\/12*0. Suppose -8*d + 21 = -4*g - k*d, 0 = -g - 4*d + 21. Solve -3*q + 4 = g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 5*a**7\/42 - a**3\/3 - 4*a. What is the second derivative of m(g) wrt g?\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538947 to the power of 1\/2, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 2641, 6626, 12205, 19378, 28145, 38506?\nAnswer: 50461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/158634 and 37\/44065.\nAnswer: 793170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)\/r**(-6\/13)*(r**(-2\/7))**22*(r**2*r*r**6)\/(r*r\/(r*r\/(r*r**(2\/15)*r))*r*r**(-7\/2)) assuming r is positive.\nAnswer: r**(-9439\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 5 (c) -0.07 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*m - 76 + 140*m**3 + 1085*m**4 - 1081*m**4 - 148*m**2 + 220 = 0. Calculate m.\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-2) - -2) + (-1800)\/(-200). Let m(b) = b**3 - 11*b**2 - 26*b + 13. Let w be m(13). Solve w - p = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49681779.\nAnswer: 3, 7, 229, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126620 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 17. Let o be ((-5)\/d)\/((-80)\/12 - -7). Solve o*g = g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 665 and 100795.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by (-1573)\/143 + 116\/1?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = 7*p - 58 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 6*a - 187, -4*g - 4*a + 30571 = 30443 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 4. Let a be w(3). Let y be a\/(-4) - 105\/(-2). Suppose 5*b + 2*j = y, 4*j + 1 + 14 = b. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -2\/15 (c) 473302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -3257?\nAnswer: 39084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59475894.\nAnswer: 2, 3, 17, 59, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -70498\/79 less than -892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = -2*x - 298 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6220*d**3 + 3*d - 63?\nAnswer: -37320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0159595784 to 5 dps.\nAnswer: 0.01596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.2 + 18. Sort 5, k, -0.7 in ascending order.\nAnswer: -0.7, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 5:01 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = -8*k. Let d = 5 + k. What is the remainder when 1383\/30 - d\/30 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.1 + 7. Let n = -0.1 - y. Let k = 8 + -12. Which is the closest to 0.1? (a) -2 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.21 (b) 5 (c) -0.08 (d) -101947\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-6)\/4)*12. Suppose -c + u*c = 0. Solve y + c*y = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 15*x = 0. Let r(j) = j**2 - 7*j + 438. Calculate the remainder when r(x) is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 25853277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 - 56*g**2 - 414*g - 360 = 0. Calculate g.\nAnswer: -15, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16011, -32629, -49247, -65865, -82483?\nAnswer: -99101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 74*u**2 - 193*u - 4080. Give m(-23).\nAnswer: -2286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {j: 4, v: 1, q: 2, z: 1, l: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3233 + 980. Suppose 7*m - r = -51. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -11\/5, 19, -4770?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 3*z. Let s be q(3). Let y = s - 8. Suppose 2*o + 5 = -b, -4*o + 0*b + 4*b + 20 = 0. Solve o = 5*u - y + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -106. Let y = -77 - u. Which is the fourth smallest value? (a) -1\/3 (b) y (c) 13 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 35 = 4*n, 3*n + 0*i + 4*i = -35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21842827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 162?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -1\/30*x**4 + 2\/15*x + 1\/15*x**2 - 10 - 2\/45*x**3. Factor s(c).\nAnswer: -2*(c - 1)*(c + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -484306365 minus 0.3?\nAnswer: -484306365.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 512.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.3 + 7. Let o = v + -0.2. Let l = -0.09 - -3.09. What is the closest to 1 in l, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5\/19, 3?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-10)*2\/((-19)\/(114\/(-9)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2 + 15*q**2 + 3*q - 18*q**2 + q. Determine t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 - 5 + 5 + (0*t + 0*t + 2*t**2)*(3*t**2 + t**3 - 3*t**2) + t**5 + t**5 - t**5 + (0*t - 4*t + 3*t + (-1 - 2 + 5)*(-4 + 4 - t))*(-6 + 5 + 0 + t**4).\nAnswer: 4*t**5 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 35 = -34 + 357. Solve 0 = 3*s + 9, -10 = j - s - g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19599 is divided by 816?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:26 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3642 (base 9) to base 15.\nAnswer: -c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 - (-3 - -8 - -4). What is m in -4*m**b + 1\/3*m**3 - 64\/3 + 16*m = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u - m + 42, 5*u + m = 102. Let y = -18 + u. Suppose 0 = y*c - 7*c. Are 1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -39. Let o be (20 - -2) + 62 + -51. Let h = r - o. Solve -7*z = -4*d - 2*z - 15, -z = -h*d - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2857 + -88581\/31. Are x and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.31 - -0.023824.\nAnswer: -52.286176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1953\/(-3906)*19*2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -4 (c) 277\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**2 + 3*h**2 - 4*h**2)*(-2*h + 335 - 195 - 182) to the form s*h**2 + v*h + k + u*h**3 and give s.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1)\/sqrt(11)*-5 + sqrt(1008) + -1 + 3 + 2.\nAnswer: 4 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1661972 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -19 (c) 0.08 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 3:38 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36225\/2 - 18113. Which is the closest to 13\/14? (a) -4 (b) 2\/19 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s - 53*s = -35. Suppose -s*q - 8 = -3*q, -4*q - 1160 = -2*h. Calculate the greatest common factor of h and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (3 + -3)\/3. Suppose -2*r - 12 = 5*p, 7 + o = 5*r + 3*p. Suppose 0 = r*l + l - 150. Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*108810\/(-1209)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 924 and 40491?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27460716*c*s**3 - 36632498*s**3 wrt c?\nAnswer: -27460716*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, k: 1, f: 2, i: 1, h: 1, s: 5}. Give prob of sequence hk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*b + 20*b + 170 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-26)\/(-8))\/((-3)\/(-960)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2646.2073 hours?\nAnswer: 110.2586375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -20\/7 (c) 704 (d) -5 (e) 0.2 (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(4\/(-40)*-2). Let r(m) = m**2 + 6*m. Let t be r(-6). Suppose -2*s = -c - 4*s - 3, -a*s - 15 = t. Solve c*q + 20 = 4*n + 6, -5*q + 25 = 3*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109109641871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 596 = 0. Let i(c) = -1006*c**2 - 4*c - 4. Let l be i(-1). Let y = l + p. What is y rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by -329*(-10)\/70 + (-6)\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4948305, 3, 7.\nAnswer: 2, 3, 7, 4948305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*s = -41 + 12, 0 = 5*d + s - 24. Suppose 30 = d*z - 2*z. Solve -6*o + z = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:14 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0.08, 0.7, 9, -2\/7, 5, -0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + v**2 + v - 1. Let z(h) = 10*h**3 - 10*h**2 - 11*h + 10. What is 22*a(y) + 2*z(y)?\nAnswer: -2*y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-15))\/(312\/1071). Let x = j - 3\/52. Which is the third biggest value? (a) x (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 14*m + 16. Let q be (28\/10)\/(1\/5). Let z be c(q). What is the derivative of -14*p**3 + 9*p**3 - 6*p**3 + z wrt p?\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4599810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + -0.77. Let i = -287\/165 + 4\/55. Let p = -0.05 - -0.45. Which is the closest to -2\/3? (a) p (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 518*c + 3. Let t be k(-9). Let v = 56051\/12 + t. Let u = 11\/80 + 3541\/720. Find the common denominator of u and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49745 + -21362. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 3*s - 3. Suppose -2*o + 5*r = 3*o, -4*o - 3*r - 21 = 0. What is f(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -15*j + 1. What is the units digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235770*2\nAnswer: -471540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 7\/2*i**4 + 0*i**3 + 226 - 1\/2*i**6 + 139\/2*i**2 + 0*i + 0*i**5. What is the second derivative of f(v) wrt v?\nAnswer: -60*v**3 + 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 119 - 141 = -q, -i - 14*q = -32. Solve 30 = -2*s + i*c, -17*s = -20*s + c - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*w - 185*w + 284 - 11720 = 6728 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/18*(-56)\/(-140).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 1.1 (c) -2 (d) -2\/19 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 - (16256352\/(-36))\/17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -40*k - 16. Let t(w) = -6*w + 1. Let u(f) = f + 2. Let d be 6\/(-4)*(210\/(-18) + 13). Let p(b) = d*u(b) + t(b). Determine 2*o(g) - 11*p(g).\nAnswer: 8*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -1, 8, 0.2, 3, -10 in increasing order.\nAnswer: -107, -10, -1, 0.2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**9\/84 - d**5\/12 - d**2 - 9*d. Let g(x) be the first derivative of i(x). What is the third derivative of g(o) wrt o?\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003860 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25138 + 7948 = 2*l + 4*n, -3*n + 49629 = 3*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from hhhhihhhhiihhhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 274a5595?\nAnswer: -274a5593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + j + 2. Let h be c(-1). Find the third derivative of 14*s**3 + h*s**2 + 5*s**2 + 2*s**2 wrt s.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 7}. Give prob of picking 1 e and 3 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 485634439 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 3, m: 2, k: 4, f: 1}. What is prob of picking 1 f and 2 w?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = 7*k - 4*d, -71493*d + 85 = 4*k - 71496*d for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5+-250\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 374*w.\nAnswer: -w*(w - 374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940 is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -24*h - 300. Determine d(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 56 + 72 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*(sqrt(2448) - sqrt(2448)*-1))*-5.\nAnswer: -20 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-1)\/(-5))\/((-84)\/210)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus 3083?\nAnswer: -3082.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b - 4*b**2 - 1\/24*b**6 + 0*b**3 + 1\/24*b**4 + 0*b**5 + 0. Find the second derivative of t(w) wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - 24*x - 6. Suppose 6*o - 2*o = -44. Let w be j(o). Find the common denominator of ((-3)\/8)\/((-132)\/w) and -63\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9*y. Let o(c) = 4*c + 3. Determine j(o(t)).\nAnswer: -36*t - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 14. Let j be (-5)\/(((-1705)\/66)\/(-31)). Determine g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -651 + 711. Suppose 0 = -3*c + 4*c + 39. Let h be -2*(c\/6 + -1). Calculate the highest common factor of p and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140880 and 960.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 2*m + 38 - 5 + 3*m + m as k + j*m and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**3 + 1292*y - 2590*y + 1298*y.\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 417373*q - 834750.\nAnswer: (q - 2)*(q + 417375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 10:55 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k = 5. Suppose -4*m + 3*m = 5*x - 16, 2*x - 1 = k*m. Let y = 157\/145 + -14\/29. Which is the third smallest value? (a) -0.1 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29889285 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(26\/182).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250538*d = 250913*d + 10500 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10883033*m*y**2 + 2096*y**2 - 1250 wrt m?\nAnswer: -10883033*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*z**2 - 90*z**2 + 201*z**2 - 54*z**2 - 647*z**3.\nAnswer: -647*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 - 1 + 1)*(-8 - 2*f - 3*f**2 + 4*f + 0*f).\nAnswer: 15*f**4 - 10*f**3 + 40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.3 + -0.3. Let n = -16 + l. Which is the third biggest value? (a) -0.4 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.61845 months in centuries?\nAnswer: 0.125515375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.33875.\nAnswer: 1.01625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = -w + 2*w, 0 = -t - 4*w + 19. Let b be -1 + (t - (0 + 2)). Is (-1)\/(-2) - 194\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 0.3, -0.3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (414 - 414 + 10*u**2)*(-2 + 2 + 4) as c + j*u + x*u**2 and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8185 + -16?\nAnswer: -8212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 4*z**2 + 8*z - 4. Let p(w) = 2*w**2 - 3*w + 3. Let o be p(2). Let q be m(o). Let r = -7 + q. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 44*u**2 + u - 8. Let y be x(2). Let j = y + -174. Sort j, 5, 2, 4 in increasing order.\nAnswer: j, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -275*g**2 + 282 - 548 + 265 - 3*g - 2*g**2 - 3*g**2 - 4*g**2 + (g - 3*g + 0*g)*(-3*g - g + 3*g).\nAnswer: -282*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209496 is divided by 104741?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15 + 20 + 3*-1. Suppose 3*i - v*b - 332 = 0, -3*b = -6*b - 12. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/(-12)*(-6)\/(-5). Let d(s) = 2. Let q be 84\/16 + 2\/(-8). Let v(c) = 3. Let b(w) = q*v(w) - 7*d(w). Let g(z) = -2*z**2 + 4. Give j*b(k) - g(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.075159 - 3452846?\nAnswer: -3452849.075159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 2*s + 26. Let p be q(0). Suppose -2*t + 4*c = -10, 5*c = 4*t - 0*c - p. Solve -4*a - 25 = -t*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 0, -3, 298, 167, -2 in decreasing order.\nAnswer: 298, 167, 0, -2, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, b: 2, p: 1, d: 1, x: 4, m: 2}. What is prob of picking 1 k, 1 b, 1 m, and 1 p?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1036510 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132822*b - 128107*b + 627095 for b.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 5*o + 33. What is q(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 7 - (-1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j**3 + 0*j + j + 939989920*j**2 - j - 939989920*j**2.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-266 - 13562286\/(-51084)) + (-1)\/22\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 111*h**2 - 33*h. Let t(m) = -7*m**2 + 2*m. Let q be (55\/33)\/(3 + 39\/(-18)). What is q*s(y) + 33*t(y)?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8883.299+5\nAnswer: -8878.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.41? (a) -0.5 (b) -21\/5 (c) 0.03 (d) 0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 10:41 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -698 - -698.00000201. What is f rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 + 0.73. Let j = 0.1893 - -0.1107. Sort -3\/5, j, s, 0.8.\nAnswer: -3\/5, j, s, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28003862321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -30*w**4 + 90*w**3 - 50*w**2 - 4*w + 2. Let d(s) = 60*s**4 - 181*s**3 + 98*s**2 + 8*s - 5. Let i(g) = -2*d(g) - 5*m(g). Find u such that i(u) = 0.\nAnswer: -1\/15, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlvlvlffl. Give prob of sequence hfvl.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 49*z**2 - z + 32. Let j(f) = -f - 8. Determine -4*j(u) - w(u).\nAnswer: -u**3 - 49*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1))\/o)**4)**19*o**(5\/4)\/(o*o\/(o**(-3)\/o))*(o**(5\/2)*o)\/o**(3\/5) assuming o is positive.\nAnswer: o**(-1557\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 48 (b) -2\/5 (c) 2\/3 (d) 0.05 (e) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-6) + -5)\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 2722578 + 0*u + 907526 + 907525 + 907527.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.19 - -55.19. Put 68, -5, 5, x in decreasing order.\nAnswer: 68, 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -283 + 926. Let w = l - 385. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*n**3 + 278*n**3 + 106*n**3 + (n + 2*n**3 - n)*(1 - 1 + 1))*(0*n**2 + n**2 - 4*n**2).\nAnswer: -864*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12101*u**6 - 3*u**3 - 22283*u**2 + 3.\nAnswer: 1452120*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91480, -91479, -91478, -91477, -91476?\nAnswer: -91475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/909, -8, 7\/5, -2 in descending order.\nAnswer: 7\/5, -2\/909, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 141.6802395 and -8.\nAnswer: 133.6802395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (2 - 220\/45). Is y > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003054272186 to 7 dps.\nAnswer: -0.0000305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2107 or -1964?\nAnswer: -1964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223 - 227. Let o(j) = -j**3 - 2*j**2 - 7*j - 10. List the prime factors of o(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*h - 3*h - 33*h)*(0*h**2 + 2*h**2 - h**2) to o*h + p*h**3 + c + s*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1611549*p - 960604 wrt p.\nAnswer: 1611549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t - 14*t**3 - 20*t**3 - 10*t**3 + 13*t**2 - 19*t**2 - 1 + 8*t in the form p*t + u*t**2 + b*t**3 + g and give b.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.3 in 1, 0.0787, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/117 + 2363\/2574. Find the common denominator of s and 1*6*10\/32.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(8\/((-192)\/180)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2)*(-c + 3*c - 3*c) + 1 + c - 1 + c + 0*c + c)*(-89*c + 84*c - 112*c)*(-c - 3*c + 3*c).\nAnswer: 585*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = 3*h, 0 = 5*h + 3*x - 3 - 0. Suppose -q + 4*a + 45 = h, 5*a + 40 = 2*q - 35. Is 26 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**8\/6720 - t**7\/420 - t**6\/48 + t**5\/20 - 11*t**2. Let o(h) be the third derivative of w(h). Factor o(c).\nAnswer: 3*(c - 5)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1234200 and 40600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1384397066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 12*k + 16. Let p be z(-7). Suppose 12 = -p*j + 39*j. Let q be ((-4)\/(-10))\/((-2)\/(-10)). Do q and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i - 2 = 37*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4\/12 + 7*s**3\/3 - 9*s**2 + s. Let m = 35 + -23. What is the units digit of t(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 49*b**4\/4 + 2*b**2 + 4*b - 20. Give p(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5\/3 - 2*b**4 - 2*b**3 + 44*b**2\/3 - 17*b + 6 = 0?\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 3*(2*sqrt(405) - sqrt(405)))\/(sqrt(27)\/sqrt(3)*4).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnbnnbbbnbbbnnb. What is prob of sequence nn?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4 + 3 - 3 + 4*m**2 - 6 + m. Let y be h(-4). Let n = y - 29. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/24)\/(u*u**(-6)))\/(u**(2\/13)\/(u*u*u*u*u*u**3)) assuming u is positive.\nAnswer: u**(3995\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 11. Let f be d(11). What is the first derivative of -2*a + 2*a - 1 + f + 3*a wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p**24\/p))))**(43\/4)\/(((p**(-1\/39)\/p)\/p)\/p)**(5\/2) assuming p is positive.\nAnswer: p**(-17857\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 4*l. Let u be -4*(-2)\/12*l. Suppose r - u*r - 5600000 = 0. Round r to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10324 + -10140. What is the remainder when 638 is divided by b?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126046744 - 233081744. What is g rounded to the nearest 1000000?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433152 times -0.03?\nAnswer: 42994.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u = -3*r + 28*u + 9840, -2*u + 9840 = 3*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + 25. Let h = 27 - 11. What is the remainder when a is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388048246?\nAnswer: 2, 29, 127, 139, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 250 = -2*u. Let o = u - -70. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15191*p**3 + 2*p**2 - 754*p + 753*p - 2*p**2.\nAnswer: 15191*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 617 and 58602043.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787038?\nAnswer: 2, 3, 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 5*n**2 - 6*n - 7. Let y be r(7). Suppose -8*j + y = -j. Calculate the highest common divisor of 56 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -51*y - 232*y - 8*y + 14*y. Let c(a) = 4*a**2. Calculate b(c(f)).\nAnswer: -1108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 319\/18 + -4111\/234. Let j = 5.1 + -5. Suppose 0 = -5*g - 15, -3*g = -2*q - 0*g + 9. Which is the closest to j? (a) -1\/5 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1337 - 1?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)*j*j)**(-34\/3) assuming j is positive.\nAnswer: j**(-187\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k - 9, h - 23 = 3*k. Suppose -7702 = h*j - 30396. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59195 - 388?\nAnswer: 58807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59.69 - 60. Let t = q + 0.3096. Round t to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.064 rounded to 1 dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 20 = 4*q, 4*b = 7*b - 2*q - 10. Solve 0 = -b*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-500) - (-21255)\/1625.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 25 = x. What is the greatest common factor of x and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23173, 23183, 23195, 23209?\nAnswer: 23225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (sqrt(192) + ((-2*sqrt(192) - sqrt(192)) + sqrt(192) - sqrt(192)))\/sqrt(4))*-6.\nAnswer: -72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1387*6\nAnswer: 8322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 203*b**2 + 834*b + 1252. Determine o(-207).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.35 + 0.334. Let w = -0.016 - a. Which is bigger: -12 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-247)\/(-49400))\/(1\/(-8))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p**3 - 6*p - 3*p**3 - 2*p**3)*(-2 + 6 + 3*p - 2) to the form m*p**4 + q*p + d*p**3 + v*p**2 + w and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 540740*v + 1622175.\nAnswer: 5*(v + 3)*(v + 108145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 762?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 8286884?\nAnswer: -8286888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from jjmmmmjmjmm.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6052327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2045 = 16*j + 141. Calculate the highest common divisor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/11 (b) -1 (c) 5 (d) 1\/81 (e) 6 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than or equal to 7.95819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) - (-38)\/(-30). Let z be (3\/36)\/(3\/(-16)). Let u = -1 + -2. Which is the second smallest value? (a) z (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 1, c: 2, a: 2, p: 1}. Give prob of sequence icp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1. Suppose 2*k + 3 = 3*r, -r + 15 = 3*r + k. Let y(l) = 11*l - 1. Let a(o) = r*i(o) + y(o). Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 16}. Give prob of picking 2 p.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j = -35. Let g be 5*(j\/(-5) + -1). Let i = g - -1. Solve -i*q = 3*m, 0 = -4*m - m - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4 + 675*i**2 + 650*i - 1320 = 0. What is i?\nAnswer: -11, -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8386 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 41193?\nAnswer: 41192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3224.9996973 + -3225. What is w rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.6, 2, 7\/2, -2, -100?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 214*w**3 + w**2 + 2*w - 3. Give f(1).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4360*s**3 - 13*s**2 - 26*s + 13. Let y(n) = 1090*n**3 - 3*n**2 - 6*n + 3. Determine 6*o(v) - 26*y(v).\nAnswer: -2180*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 (base 6) in base 10?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 6*d. Suppose y - 1 = 4*x, 4*x = -x - 4*y + 25. Suppose c = x - 7. What is v(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/810*-10)\/(((-4)\/(-18))\/(-2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = 0, 5*q - 54 + 36 = -i. Solve 2*w + 1 = -q*r + 6*w, -28 = -4*r - 2*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73, 110, 171, 256, 365?\n\"Answer: 12*w**2 + w + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) -0.5 (c) -3 (d) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 10 + 9 - 10 + 11 = -5*g, 4*g = -20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462895 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030666.\nAnswer: 2, 7, 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**6\/210 + 3*n**5\/140 + n**4\/28 + n**3\/42 + 7*n. Factor d(y).\nAnswer: y*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8832?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*((-6)\/(-18) + 1797 + 4)?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4\/d)\/(d*(d\/d**(-6\/13))\/d))**30\/(((d\/d**(-10))\/d)\/d*d*d*d*((d\/(d*(d**(-6)*d)\/d))\/d)\/d*d*d*d*d)**(1\/14) assuming d is positive.\nAnswer: d**(4070\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1083 - 1083.0579. Let m = i + -0.0421. Which is the closest to -2\/3? (a) -3\/2 (b) -3 (c) 5\/4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*h**4*k + 4*h**4 - 2*h**3 - h*k - 190 wrt h?\nAnswer: -180*h**2*k + 48*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (9 - 18) + -19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 5*d + 7. Calculate v(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let w be j(-4). Suppose 35 = w*t - 17. Let y = -7 + t. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1025280 by -1335.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + -1 + (sqrt(605))**2).\nAnswer: 2*sqrt(5) + 1208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Suppose g - v - 3 = 0, -n*g - 5*v = 3*g - 15. Let d = 2 - -1. Solve 5*r - d*a + 8 + g = 0, a = -r - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.913, 3, 1\/7, 5, 0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1601 + -18428873989.\nAnswer: -18428875590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626717409 is divided by 692.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*d - 1031 = 0, 0 = -b - 2*d + d + 206. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.17 (b) 1 (c) 3 (d) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.361243 rounded to 3 decimal places?\nAnswer: 0.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 - 2690?\nAnswer: -2791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 453 and 1167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-30))\/(357\/(-28) + 13)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4245 and 2.1263.\nAnswer: 0.90261435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039179 to 5 decimal places.\nAnswer: 0.00392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/179, 0, 6, 1\/6, -7.3 in descending order.\nAnswer: 6, 1\/6, 0, -2\/179, -7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.5 (b) -794\/3 (c) 1\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 2020 + 7938. What is the least common multiple of 2 and j?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-5) + (-26814)\/1230 - (-7 + -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 9:33 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.1 - -8.21. Let d = -0.11 + w. Is 2\/7 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 382 + -361. Let y = -12 - -30. What is the smallest common multiple of y and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8799783 rounded to the nearest one hundred thousand?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (446*v + 31*v**3 - 446*v)*(-4 + 0 + 2) in the form n*v + l*v**2 + i*v**3 + m and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 133, 61, -81, -317, -671, -1167?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let t = 28 - 25. Solve -7 = -2*a - k*q, -t*q = a - 2*q - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3015 * -6.6\nAnswer: 19899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*c + 3064 + 124, -c + 1060 = -p. Calculate the least common multiple of c and 672.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = 21. Solve j*g + 6 = 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425 is divided by (-2138)\/(-18) - (-70)\/315?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1105 + 551?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -753883332, -753883331, -753883330, -753883329, -753883328, -753883327?\nAnswer: -753883326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220298335.\nAnswer: 5, 2557, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/12)\/(1\/(3\/(-1)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8577 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/110*0)\/(-10))\/(-12*10\/(-120))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - -0.01. Let v = -0.03 - l. Let g = -2 - -1. What is the closest to v in g, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2685549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2 - 878*p - 192721 = 0.\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (237\/(-158))\/((-10)\/(-164)). What is the second biggest value in h, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-16))\/3)\/(189\/84).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20281\/5 <= 4057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26753 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -13 - (25\/15 - (-3293)\/(-111))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Let z(l) be the second derivative of l**4\/12 + l**2\/2 + 8*l - 39. Let k(t) = -7*t**2 + 3*t - 4. What is f*k(c) + 5*z(c)?\nAnswer: -2*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - g**3 + 4*g**3)*(-3 + 0 - 1) + 544*g**3 + 954*g**3 - 341*g**3.\nAnswer: 1161*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -68.425368 and 5.\nAnswer: -63.425368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25*-14*(-288)\/60. Suppose 0 = 7*d - b - 8799. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -7388?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tatsuktttaasesa. Give prob of sequence aat.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 14135.5456 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6195 - 6196. Let q = 18 + -37. What is the nearest to q in -1\/2, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/12 - 13*n**3\/3 - 18*n**2. Let h be d(-14). Is (-594)\/(-10) + h\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -790400.9 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9088 + 13568. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 17, 2.\nAnswer: -4, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - 10 - (-5 - 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.45 and 500.\nAnswer: 500.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -571*v**6\/6 - 5*v**4\/4 + 17*v**3\/3 - 283*v + 2. Find the third derivative of f(z) wrt z.\nAnswer: -68520*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x**2 - 7*x - 4. Let b(f) = 4*f**2 + 3*f**2 + 3*f - 18*f**2 + 2 + 5*f**2 + f**2. Determine 5*b(d) + 2*w(d).\nAnswer: -3*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0364125 - -14.3085375. Let w = g - 6.344956. Let y = -8 + w. What is y rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from pukpjppjjuppskj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -2*n - 18*i + 308, -2*n = -3*i - 294. Suppose -5*k - 40 = -n. Solve -3*s = 2*f + 9, -4*f - k = s - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 0, -85, -2\/3, 0.5, -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*b + 8 = 0, -8*b - 4 = 5*r - 10*b. Solve r = 2*y - 0*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 - 61?\nAnswer: -61.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/39)\/((-35)\/(-1386)) + 6\/(-10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8929 is divided by 1474?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -731 + 768. Which is smaller: 112\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12647 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/4 + g**3\/3 + 9*g**2\/2 - g. Let s(d) = 2*d**2 + 2*d + 8. Let c(p) = -4*a(p) + 5*s(p). Let c(o) = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 517 or 515?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 53 = 2*h, 2*h = -2*r - 3*r - 2988 + 2957 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 12*h**2 - 5*h**2)*(63 - h - 24 - 21).\nAnswer: -7*h**3 + 126*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 134120 greater than 134120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161123 is divided by 2731.\nAnswer: 2725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 428430*k**5 - 112*k**2 - 17*k wrt k.\nAnswer: 25705800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/4 - 8*z**3\/3 - z**2 + 8*z + 5. What is the remainder when s(-8) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 12) to base 5.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 30 + 10. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51.2 - 64. Let b = -11 - x. Let w = -2.1 + b. Sort -1, -1\/4, w.\nAnswer: -1, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514262222?\nAnswer: 2, 173, 233, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 78339*k + 1 + 10.\nAnswer: -78339*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 46. Let w be h(-22). Let s(y) = 2*y - y + w*y + 3 - 4*y. What is s(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8901 or 8902?\nAnswer: 8902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 30*j + 395. Let r be v(-13). Let n be -10 + 16 + (2 - -17). What is the highest common factor of n and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*s - 5*m, -2*m + 20 = 2*m. Let c(k) be the second derivative of 0 - 6*k + 1\/6*k**3 + 0*k**2. Give c(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = g - 18, 5*n - 2 = 3*g - 0*n. Suppose -g + 2 = -4*w. Let k = 38 + w. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, k: 7}. Give prob of picking 1 k and 3 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i - 54. Determine u(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 0*n**5 - n**5 + (0*n**2 - 4*n**2 + 5*n**2)*(-3*n**3 - 2*n**3 + 2*n**3) + (3*n**5 - 4*n**5 - 2*n**5)*(0 - 2 + 4).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 88, 99?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 352845583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130\/287 - 1\/41. Factor 9\/7*b**3 + f*b**2 - 6\/7 - 9\/7*b + 3\/7*b**4.\nAnswer: 3*(b - 1)*(b + 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c + -2cee29?\nAnswer: -2cedcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) -1 (b) 0.3 (c) -89.3 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 866\/5 - 1467\/10. Let h = m - 26. Which is greater: h or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-33)\/(r*r*r**(1\/8)*r) assuming r is positive.\nAnswer: r**(-289\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341 and 56885?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000099905884 rounded to 7 decimal places?\nAnswer: 0.0000999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1600\/7, -0.306, 2.3 in increasing order.\nAnswer: -0.306, 2.3, 1600\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**12*n**20)\/(n**(-14)\/n**(-18)))**(14\/5) assuming n is positive.\nAnswer: n**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 11) in base 10?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21000222411 + 0?\nAnswer: -21000222411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/2 + 2321*k**4\/2 + 1972891*k**3\/2 + 727556115*k**2\/2 + 49545049248*k + 145387685376 = 0.\nAnswer: -736, -423, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 28. Let f(n) = -370*n - 8. Let l be f(0). Give u(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/(-4)*(-32)\/(-40))\/(-4). Is f greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 2*i + 13. Let k = -64 - -76. What is the hundreds digit of c(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 508792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -3 (c) -55 (d) 16\/3 (e) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 + 7*w**3 - 243 - w**3.\nAnswer: w**3 - 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 0 + 5) - -5 - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 70. Let u be p\/(-2)*(-3)\/(-9). Let j = -16122 - -16124. Which is the biggest value? (a) j (b) -3\/13 (c) -0.3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = 4*t + 2*s, 6 = 3*t - s. Suppose -12 = -t*d - 2*d. Solve -w = d + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 49741574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 11:39 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiuu. Give prob of picking 1 u and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 11*a**2 - 18*a + 10. Let f(n) = 3*n**3 + 21*n**2 - 36*n + 19. Let y(k) = -3*f(k) + 5*q(k). Is y(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {j: 1, h: 1, y: 1, u: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11398 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 5*r**2 + 6*r + 2. Let z be v(6). Suppose -z = -4*x - 22. Which is the third biggest value? (a) x (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7988*y + 8010*y + 14 = 234 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5 + 54*b - 95*b + 42*b. What is i(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {m: 3, d: 1, q: 3, n: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816.7209 grams to kilograms.\nAnswer: 0.8167209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108990 and 315?\nAnswer: 108990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 422*m**3 - 17728*m**2 + 91320*m - 864.\nAnswer: 2*(m - 36)*(m - 6)*(211*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -41. Let g = o - -27.00095. What is g rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2481968, 2481974, 2481982, 2481992?\nAnswer: 2482004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*b + 33, -x - 9 = 15*b - 14*b. Let y be (285\/(-30))\/19 - b\/8. Factor 3\/4*i**2 + 1\/2 - y*i**3 + 5\/4*i - 1\/4*i**4.\nAnswer: -(i - 2)*(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -3*q**8\/560 - q**7\/28 - 37*q**6\/360 - q**5\/6 - q**4\/6 + q**3\/3 + 8. Let a(y) be the third derivative of p(y). Factor a(f).\nAnswer: -(f + 1)**2*(3*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (9 + -5)) + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26\/7, 0.04, -2\/3, 2\/7, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 16. Let f(a) = a**3 + 6*a**2 - 5*a + 3. Let k be f(g). Let s = k - -23. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 4*o - 2*o - 15, -2*o + 3488 = -5*f + 3503 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1447*t**2 - 453804. Let g(p) = -2*p**2. What is q(g(j))?\nAnswer: 5788*j**4 - 453804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 48. Calculate the lowest common multiple of r and (12\/30)\/(5\/175).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 7:52 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + k**2 - 9*k**3 + 2*k + 5*k**3 to j*k**2 + o*k**3 + w + b*k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + a - 1)*(-2 + 3 - 2)*(-6*a**3 + 49*a**3 - 29*a**3) as f*a + b + c*a**4 + l*a**3 + x*a**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 71411893*j - 71411899*j + 122 + 3*j**2)*(1 - 3 + 4).\nAnswer: 8*j**2 - 12*j + 244","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 4*u**2 - 3*u + 5. Let v be i(5). Find the common denominator of (-886)\/112 + (-10)\/v and (2\/(-6))\/(24\/711).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7471*n**3*u**3 - 12*n**3 + 616*n*u**2 wrt u?\nAnswer: -44826*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3206217 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20759 by 2.\nAnswer: -20759\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 391067523*b**3 - 351353693.\nAnswer: 1173202569*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -u - 23. Let m be (12\/54)\/(u\/(-14902)). Let l = 826 - m. Calculate the common denominator of l and -91\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - i**2 - 3*i**2 - i**2 + i**2 - i**2 + (i - i + 2*i)*(0*i - i + 0*i) - i**2 + i - i - i**2 - 3*i + 3*i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -3 (c) -44 (d) 1\/203 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1362450 and -73\/27644550?\nAnswer: 856981050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -40*o**5 - 395*o**4 - 910*o**3 + 520*o**2 + 950*o - 125 = 0.\nAnswer: -5, -1, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0)\/((-119)\/476).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(4 + -4). What is the derivative of 5*m - 4 + 3*m + d - 2 wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55328.38 millilitres?\nAnswer: 55.32838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4026 - -4028. Solve -17*j = -o + 87 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*k + 2 + 0 = 0, 0 = -i - 3*k + 11. Suppose 3 + 7 = i*x - 5*u, 3*u + 6 = x. Suppose -5*n = -4*p - 10618, x = -4*n + p + p + 8492. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7576 - -7589. Solve 83 = -16*t - i for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1)\/(3 + -8 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 3}. What is prob of picking 2 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 12, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118722 is divided by 886?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 622860.4mm?\nAnswer: 622.8604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50503723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 21, -4, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/5 - 222*w**2\/5 + 2394*w + 285190 = 0.\nAnswer: -95, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 3)*-2*1*4.\nAnswer: -72*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1775 and 18.015?\nAnswer: 1756.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -42910?\nAnswer: -42913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d + 122*d = 146718. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.89982 * 0.5.\nAnswer: -6.94991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 + 0.02. Let h = u + 0.28. Let x = h + 3.02. Which is the nearest to -1? (a) 2 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337 divided by -2\nAnswer: -337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -827, -924, -1011, -1082, -1131, -1152?\n\"Answer: n**3 - n**2 - 101*n - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13 - ((-3)\/((-585)\/152) - (-1725)\/(-1725)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.1504 to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (761\/(-110) - 2) + 35\/350.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -37aeed (base 15) to base 12\nAnswer: -a88b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2 + 2*p + 1. Let l be b(-1). Suppose -l*z + 5*w + 35 = 0, 0 = z + w + 3*w - 2. Let h be ((-50)\/22 - -2)\/(z\/(-4)). Which is greater: 2\/9 or h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 475*x**3\/6 - 3*x**2\/2 - 2*x + 79. What is the tens digit of a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 6) in base 11?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1651882 by -1.\nAnswer: 1651882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 - 4*i. Let p(l) = 2*l - 3*l + 2*l. Let s = 302 + -306. Give s*p(c) - a(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98134 (base 13) to base 15.\nAnswer: 56677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6374 + 57368\/9. What is the third biggest value in 1\/11, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**5\/120 + 5*f**3\/6 - 5*f. Let m(p) be the second derivative of q(p). Let h(l) = 2*l. Give h(m(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1381 = -3*z - 2*c, -2*z - 10*c + 8*c + 922 = 0. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 16*g**2 - 12*g - 221. Let j be c(14). Solve h - 4 + 1 = 2*w, -3*w - j*h = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 610*q**4*t**3 + q**4*t**2 + 25*q**2*t**3 - 2*q**2*t + 96*t**3 wrt q.\nAnswer: 14640*q*t**3 + 24*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -1 + 1 + 0. Suppose -5*o = -31 + 16. What is the second derivative of a - a + 0*a - 2*a**i - o*a wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**4\/12 + 2*d**2. Let r(b) = -10*b + 7*b**2 + 17*b - 9*b - b + 3*b. Determine g(r(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1037 + 1051. Which is the biggest value? (a) v (b) 15 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (21 - (13 + -23)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-55)\/(-143)*11*2\/(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 129. Let r = 2 - -7. Calculate the remainder when l is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 20*l + 18. List the prime factors of u(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-132)\/(-2) - (40\/(-4) - -13). What is the highest common divisor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14309 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154671096.\nAnswer: 2, 3, 19, 59, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 224819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -1 - (-30 - 18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102211122222 - 2?\nAnswer: 2102211122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(243) + 3 + sqrt(243) + (sqrt(33) - sqrt(3300))\/sqrt(11) + 0)**2.\nAnswer: 126*sqrt(3) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m + 37 = 5*t, 2*t + 2 = 4*m. Sort -28, 3, 2, t in descending order.\nAnswer: t, 3, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 + 63. Let n = 139 + h. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**3 - 3*j**2\/2 + 213*j - 14. Let p(f) = 10*f**2 - 10*f + 640. Let m(i) = 7*d(i) - 2*p(i). Is m(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26910374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z + 556*z + 91*z - 14145 = 0 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r = -62*r - 2790. Sort r, 5, -4 in ascending order.\nAnswer: r, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 3*t + 103962*t**3 - 103963*t**3 - 1 - 2*t. What is m(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5\/5 + 44736*c**4 - 4166262444*c**3\/5 - 23358276624*c**2 - 734293201728*c\/5 - 267041747712 = 0. What is c?\nAnswer: -20, -4, 37294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 5*b**2 + 4*b + 4. Let x be l(4). Suppose x*s = 14 - 2. Solve s = f, -3*m - 3*f = 2*f - 21 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74826 + -74793.747. What is p rounded to one dp?\nAnswer: 32.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3023 + -2213?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 11811 = x + 11810, 0*x - 2 = x + x + 2*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 65\/2. Which is the nearest to -0.4? (a) -5 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 1 - 3. Let w be (-8)\/(-4) + -5 - (-43)\/15. Which is the second biggest value? (a) 0 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 5237310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139501 - 86667. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.21201 tonnes to micrograms.\nAnswer: 42212010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416933.7 meters to nanometers.\nAnswer: 416933700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5579 - 4?\nAnswer: 5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 4*u - 3. Let c be n(-5). Factor 4*b + 2*b + 21*b**c + 6*b + 3*b - 6.\nAnswer: 3*(b + 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166407.7214 rounded to the nearest 100?\nAnswer: -166400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-4\/31)*(k\/k**(-1)*k)**(-31)*(k**(1\/2)*k)**(-4)*(k\/((k*(k**(-3\/7)*k)\/k*k)\/k)*k)\/k*k\/(((k*k**5\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(-704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44822.2*0.2\nAnswer: -8964.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1091825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4762.\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -5 (c) -2631 (d) 12 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136601005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 29917377.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426573991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 17 = -d + 13*s, 88*d - 87*d + 2 = 4*s for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 139234.74 times -8\nAnswer: -1113877.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10434 and 15670129?\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.885961 from -1569.\nAnswer: -1569.885961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4*r**2 + 535*a**2*r**2 - 247*a*r**2 - 3*a - 2*r**2 wrt a.\nAnswer: -24*a**2*r**2 + 1070*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*o + 8 = 110*m - 111*m - 351*o, 0 = m + 12*o + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f**2 + 9846 - 3*f**2 - 9842.\nAnswer: -75*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1231*u + 160*u + 3239*u to the form x + a*u and give a.\nAnswer: 4630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015709?\nAnswer: 1015709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 + 2*o**2 + 2*o + 1. Let l be w(-1). Solve a + l = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110 (base 3) to base 4.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 34*k + 520 = 0. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 114921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09047 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 950\/105*4 + 10676\/(-56049)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) + (sqrt(24)\/(sqrt(16)\/sqrt(2)))**2 - sqrt(192)) + ((sqrt(243) + 0 + sqrt(243))**2 + sqrt(96)\/sqrt(8))*-4.\nAnswer: -3885 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -2131, -5, 0 in descending order.\nAnswer: 41, 0, -5, -2131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104430 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-15) + 3339\/7155?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*n**2\/5 + 52*n\/5 - 16\/5.\nAnswer: 2*(n + 4)*(7*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 12. Let j be y(-4). Put 5, -0.3, j, 2\/5 in decreasing order.\nAnswer: 5, 2\/5, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - ((-1050)\/72)\/35. Which is the fourth biggest value? (a) 7 (b) -1\/18 (c) -0.2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238872560.\nAnswer: 2, 3, 5, 59, 87491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 27 = 10*s. Which is the smallest value? (a) 1 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 19*z - 22 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.254? (a) 0.08 (b) 0.8 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 28 + 60. Let b = 16 + k. What is the lowest common multiple of ((-2)\/(-3))\/(b\/(-144)) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3 + 1. Let o be (u\/5)\/((-1)\/(-5)). Let n be o\/2*(-8 + -3). Solve 0*k - 2*k = -f, -5*f + n = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 5*h**4 - 4*h**3 + 2*h**3 + 4009927*h - 2 + 2*h**2 - 4010039*h as f + p*h + t*h**2 + s*h**4 + o*h**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(2176) - 4*sqrt(2176)*-2)\/(sqrt(16)\/(sqrt(8) - (sqrt(40)\/sqrt(5) - sqrt(8))) + (sqrt(72)*3 - sqrt(72))).\nAnswer: 32*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**3 + 225*q**2 + 1188*q + 960 = 0. Calculate q.\nAnswer: -4, -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(-3 + 772314\/(-15)). Suppose -6732547 = 3*l + b. What is l rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*p + 1040. Let k = 320 - p. Let t = -13 + 26. Calculate the highest common divisor of t and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100101001000001 - 1?\nAnswer: -1110100101001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:23 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -4\/3*f**3 + 6*f - 3 + 0*f**2. Differentiate q(z) with respect to z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -305092184 and 2679.\nAnswer: -305089505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 34533*j. Let c(m) = 2*m**2. Give c(p(v)).\nAnswer: 2385056178*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4830 is divided by 116.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d. Let x(l) = 216 + 56 - 58 + 19*l. Let p be x(-11). Let m(g) = 7*g - 1. Let z be (-4)\/(-14) - 48\/(-28). Calculate p*k(i) + z*m(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24492.21 rounded to the nearest one hundred?\nAnswer: 24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -47523 divided by -389?\nAnswer: 47523\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 2. Let c = u + 10. Suppose -2*n = -4*k - 22, -2*n = 3*k - 3*n + 16. Put k, c, -3 in descending order.\nAnswer: c, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b + -1412c1?\nAnswer: -1412ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 - 4.6. Let w = n - -2. Let x = -57 + 56.5. Which is the closest to w? (a) x (b) -0.2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)\/(sqrt(16)\/sqrt(8)))\/(sqrt(24)\/(sqrt(12)*-1) + (sqrt(22) + sqrt(22)*2)\/sqrt(11)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103780 is divided by 1327.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -2*n**5\/15 + 24*n**4\/5 - 2182*n**3\/45 + 252*n**2\/5 + 392*n\/15 - 328. Suppose a(m) = 0. Calculate m.\nAnswer: -1\/5, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 4076?\nAnswer: -41\/4076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132934.\nAnswer: 2, 66467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -246341 (base 12) to base 10\nAnswer: -591457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -49*z**2 - 12*z + 4. Let i(r) = -17*r**2 - r + 1. Let v(b) = -3*i(b) + j(b). Suppose 5*m = 2*k + 4 - 18, 5*m - 28 = -4*k. What is v(k)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c - 81 = 0. Calculate the smallest common multiple of (c\/15)\/(12\/40) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(204) + sqrt(204))\/sqrt(6))\/(sqrt(16)\/((sqrt(8) - sqrt(40)\/sqrt(5)) + sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2 (b) -1\/6 (c) -54314\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 6*u**2 + 9*u + 6. Let g = 707 - 709. Let m be y(g). Solve 4*d + 40 = m*n, -n - 16 = 4*d - 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 569205*m + 2846025. Give h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 10:34 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Suppose g*y - 1 = 11. Suppose -f - y*f = -185. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*o + 26 = 0, 2*j + 4*o + 32 = 7*j. Is j - 3 - 742\/(-2) - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/5)\/((-3)\/(45\/6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 934918 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8147604?\nAnswer: 2, 3, 821, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 54 = 4*s, n - 3*n - s + 115 = 0. Let k = n + -86. Let y = 49 + k. What is the greatest common factor of y and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960848107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504 and 1288?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -713?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 0*z**3 + 2 - z**3 + 3 - z. Let j be k(0). Let n(o) = -o - 3 + j + 1 + 2. Give n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34140 - -1?\nAnswer: 34141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*9*10\/(-21). Suppose 0 = -4*r - 2*a + k, 0*r + 2*r - 3*a + 5 = 0. Suppose 20 = 5*b, -r*b + b + 37 = 3*s. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**3 + 5*r**2 - r + 1. Let t(d) = d**3 + 2*d**3 - 2*d**3 + 0*d**2 - d**2. Let y(l) = s(l) + 6*t(l). Does 12 divide y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16340081*f - 162. Let k be i(-2). Round k to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*h*k**3 + 57912239*h + 7*k**3 + 210916*k**2 wrt k?\nAnswer: 18*h*k**2 + 21*k**2 + 421832*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2956*v + 1481*v + 1471*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-33) + 3\/((-1782)\/152).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 58.7 and 4?\nAnswer: 54.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -842 divided by -1.\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15395567, 30791150, 46186733, 61582316?\nAnswer: 76977899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 2\/2123 (b) -5 (c) 3 (d) 1 (e) -45\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 6*j + 3. Let f be h(-4). Let m = f - -8. Suppose x = -r - 2*x + 2, m*r - 6 = -5*x. Calculate the smallest common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.138423 rounded to the nearest 10?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)*j**(1\/3)\/j*j*j**(-2\/27)*j*j\/j**5 assuming j is positive.\nAnswer: j**(-128\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181630 and 4047248.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2030*l*p**4 - 307*l*p**2 + l*p - 13*l - 20*p**3 wrt p?\nAnswer: -48720*l*p - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 - 42*a**3 + 62046*a**2 + 124210*a + 62124 = 0 for a.\nAnswer: -186, -1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 3. Give t(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/8)\/((-325405)\/(-363820) - 1). Let n = x - -5\/591. Calculate the common denominator of 18\/7 and n.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**4\/(i**(1\/11)*i*i**(-7\/3)\/i) assuming i is positive.\nAnswer: i**(140\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*l + 70. Let k(z) = -389*z**3 + 6*z**2 - 7*z - 2. Let m be k(4). Calculate the remainder when 2\/11 - m\/286 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3276938, -3, -0.3 in ascending order.\nAnswer: -3, -0.3, 0.3, 3276938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00700411 to 4 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 26752 = 4*p, 189*d = 186*d - 2*p + 20054. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347510?\nAnswer: 2, 5, 19, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.982 millimeters in meters?\nAnswer: 0.454982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 821173 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2665 * 1\nAnswer: -2665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/2 + (-188)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let x(o) be the second derivative of o**6\/180 + o**3\/6 + o. Let q(s) be the second derivative of x(s). Determine q(j(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u**2. Let h(r) = -11573237*r**2. Calculate t(h(s)).\nAnswer: -1071518517265352*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-8)*(-12)\/(-10). Suppose 5*u - 3*u - 2*m = 6, u - p = -5*m. Differentiate u*i**3 - 2 - 6*i**3 + 2*i**3 with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-10)\/(-160))\/((-1)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 19*v - 50 = 0. What is the tens digit of -4*(-26)\/v*-10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**3 + 14*g**2 - 3. Let c(b) = -14*b**3 - 29*b**2 + 7. Let i(m) = 3*c(m) + 7*s(m). What is the third derivative of i(v) wrt v?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (-2*sqrt(208) + 3) - (sqrt(208) - (-1 + sqrt(208)))*2)**2 + -5*(0 + sqrt(208))**2 + -1.\nAnswer: -120*sqrt(13) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167216 and 4424?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 815.934 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 4\/10) + 1. Let a be (-22)\/(-48) - (-7)\/(-56). Put -4, a, q in increasing order.\nAnswer: -4, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42786*g = -2*k - 42794*g + 140, 25 = 4*k + g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15360 by 5120.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7949 divided by 6?\nAnswer: 7949\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 144, 190, 274, 408?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-2)\/2 - 26. Let c be 4*2\/(v\/15). Let z(y) = -5*y - 3. Is z(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 5*g**2 - g + 3. Let i be w(4). Suppose -r = -5*v - 21, 3*r + i - 15 = -4*v. Is (v\/(-3))\/((-2)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -39 - 5) + 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/3, 32\/3, -1\/2 in ascending order.\nAnswer: -1\/2, 1\/3, 0.5, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-176))\/(0 + 18\/4)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 11370 = -v, 96*v - 101*v - 5*d = -56640. List the prime factors of v.\nAnswer: 5, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/14*-5 + (-4)\/(-14). Let f be (-1 - (-2 + 1))*x. Solve 0*c + 3*c - 9 = f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -12*w**3 + 12120176*w**2 + 303006275*w\/3 + 631264375\/3 = 0?\nAnswer: -25\/6, 1010023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (492660\/504)\/(-115) + 3 + (-6)\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 13*z - 13. Let q(r) = 4*r**2 + 2*r + 12. Let l(g) = g**2 - g + 1. Let b(a) = 5*l(a) - q(a). What is -11*b(d) + 6*v(d)?\nAnswer: d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2. Suppose -3*w = -8*w + 20. Let c(o) = 0*o + w*o + 4*o - 3*o. Calculate c(p(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-525))\/(((-108)\/(-1905))\/(-2)) - 14\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + k - 22 = 0, -5*z = -2*k - k + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 774 and 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (1 - 2)*-22. Let w = x - -11. What is the units digit of (20\/w)\/(2\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a860c86 + -3?\nAnswer: -a860c89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.515469 to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 8*v**2 - 10*v - 16. What is the units digit of t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 4, t: 4, o: 1, x: 2, c: 2}. What is prob of sequence jzzc?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 29656536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1525 - -7596\/5. Suppose -w - 3*w - 141 = -3*o, 111 = -3*w + 4*o. Calculate the common denominator of x and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4221423 by 1407141.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-154)\/(-8) + (220\/80 - 3). Solve 4*i = -4*z, -z - 11 = -5*i + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-22) - 59285100\/33. Let d = s + 696518. What is d rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23 (b) 38 (c) -2\/13 (d) 47 (e) -4 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - x**2 + 8. Let l(r) = -r**3 + 2*r**2 + 2*r + 1. Let y be (-1)\/(-1*(-2)\/2). Let i be l(y). Let o be -4*(-1)\/(-2) + i. Determine f(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73632393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -47. Solve -z*g + 3*u + 10 = 0, g + 2*u = 3*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316244.908 rounded to the nearest 1000?\nAnswer: 316000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 11*c**2 - 13*c - 1. What is t(10)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 9*u - 17. Let b be t(4). Let m(h) = -3 + 5*h - 1 + 5*h. What are the prime factors of m(b)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2265924 + 2265924 + 359*z.\nAnswer: 359*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2632326258 to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.2 - -4.43. Let l = b + -1.43. Which is smaller: 8 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -1\/12*q**4 + 0 + 1\/5*q**5 + 0*q**3 + 3*q + 0*q**2. What is the third derivative of w(x) wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -2) + 3 + 1 + -4 + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4437, 17614, 39577, 70326?\nAnswer: 109861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -3\/7 (c) -3 (d) 1\/118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/23 (b) -3 (c) 2 (d) 1\/3 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12493, 846, -3 in descending order.\nAnswer: 846, -3, -12493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/5, 0.1, 2, 0.02?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5201453?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5969 and 39243.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636 and 718620?\nAnswer: 38086860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 12*p**2 - 3*p + 18. Suppose -7*m + 69 + 15 = 0. Let k be r(m). Let z = 10 - k. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 30 = -8*t. Suppose 2 = t*v + 4*o + 1, -v = -o + 7. Let p(h) = h**3 + 2*h**2 - 2*h - 1. Give p(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15972*u + 69428?\nAnswer: 15972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192*j**5 + 353*j**2.\nAnswer: -11520*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -45*y**3 - y - 1. Give p(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7349, 14882, 22413, 29942, 37469, 44994?\nAnswer: 52517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-8 + 7 + -2) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -2) + 23 + (-1112 - -1139).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -38*z**3\/3 - 7*z**2\/2 + 40*z + 17. Let j(c) be the first derivative of a(c). Is j(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -804*c - 66738. Determine w(-83).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 57*c**2 - 181*c + 9. Let m be z(3). Sort m, -3, 1 in ascending order.\nAnswer: m, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 40*g**2 + 10*g - 23. Let t = 114 + -108. Is v(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-3) + (-3)\/(-9). Let i = -5 - q. Solve 0 = 3*r + 12, -2*r = 3*n - 1 - i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1. Let a(f) be the third derivative of -f**5\/60 - f**4\/24 - f**3\/6 - 11*f**2 - 2*f. Give 3*a(z) + 3*v(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 - 347 + 5*i**3 + 159.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60754531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4963 + -3?\nAnswer: -4966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsepeetpsp. What is prob of sequence ts?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7b1b (base 16) to base 9\nAnswer: -47206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**2 + 3*y**2 + y**2 + (0 + 0 - 2*y)*(-5*y + 4*y + 0*y) - 4 + 4 + y**2 + 29*y**2 + 42*y - 42*y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxixxxxxxxixxxix. Give prob of picking 1 i and 2 x.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 20 = -5*i, 3*d - 11 = -d + 3*i. Suppose 2*p = -a + 5*a - 1008, -d*a - 3*p = -1249. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103356 and 1485?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1 + 6*s - 3*s + 9. Suppose -12*n - 26 = 3*n + 79. Calculate c(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -5403?\nAnswer: 5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/580538 and 45\/49.\nAnswer: 4063766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142.05 + -130.05. What is the nearest to -2\/5 in -13, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 3*k + 4*l - 12, -3*k = -l - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/1539)\/(16\/(-10) - (-212)\/120).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 - 19944*u**2 - 33968700*u - 2714424048 = 0. Calculate u.\nAnswer: -3282, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34947870 from 0.3.\nAnswer: 34947870.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*i**2 + 28\/3 - 10\/3*i.\nAnswer: -2*(i - 2)*(i + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*o**2 + 4208*f**2*o**2 + 2*f*o**2 + 292*f*o + 19*f wrt f.\nAnswer: -6*f*o**2 + 8416*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-4) + (1299*15)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 - 292. Let f = a + 78. Let s(b) = b**3 + 6*b**2 - 2*b - 4. Let t(i) = -2*i**3 - 12*i**2 + 4*i + 8. Let w(v) = -13*s(v) - 6*t(v). Calculate w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faffaffffffaff. What is prob of sequence faf?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/7*(4 - (-1 - -4)). What is the nearest to 0 in 2, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/6 + 3 + (-1326)\/396. Which is the closest to -1? (a) k (b) -2\/5 (c) 9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 47 = -3*z - 32, 6*z - 8*a = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.62 + 29.72. Put 11\/17, -11, n in descending order.\nAnswer: 11\/17, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 78 = -478. Let x = g - -83. Do x and 25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1674714 and 27?\nAnswer: 15072426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33467 and 60787?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7347 or -7345?\nAnswer: -7345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 5. Let w be 1\/(-2)*(30 + -4). Let n = w + 9. Give l(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 822 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 145. Let r(f) = -2*f - 2. Let c be r(-2). Suppose -2*x - c = -5*a + 48, -5*a + 50 = -x. What is the remainder when a is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -328478 (base 13) to base 15.\nAnswer: -187602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 - 5*z**2 - 20*z - 54 - 10 - 40*z.\nAnswer: -5*(z + 1)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.9 times -0.65?\nAnswer: -53.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/21, 5, -2, 0.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*z = 76*z + 68. Is (z\/(357\/14))\/(2\/(-10461)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -30*i + 3. Let z = 17842 - 17843. Determine r(z).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1779102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 38661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.1 + -14.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 1, j: 2, p: 1}. What is prob of sequence djp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18242362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49\/1947 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p**2 + 2*p - 1. Calculate f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-6)*(-18)\/(-36)*(-2 + 4). Suppose 8*y - 15 = 3*y. Suppose y*j - 2 = 2*j. Which is the third biggest value? (a) -0.28 (b) j (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51618 + 24*d + 51618)*(-4*d + 4*d + d**2).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1583098609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 3286*d**2 - 5*d - 17555*d**2 - 5300*d**2.\nAnswer: -19569*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6252033 + -54?\nAnswer: -6252107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015138524405 to 7 decimal places.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-2)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3758293 is divided by 1223?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -38*c + 481. Suppose c*j + 2 = -50. What is the third smallest value in -1\/8, j, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, x: 7, i: 1, j: 1, l: 4, a: 1}. What is prob of sequence lj?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.86 - 1.46. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**3 + 8*y**2 - 4*y + 8*y**3 + 0*y**2.\nAnswer: -4*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-22)\/5)\/(4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**3 + 6*l + 4. Let h(w) = -3*w**3 - w**2 - 5*w - 3. Let z(r) = -2*g(r) - 3*h(r). Factor z(o).\nAnswer: (o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 + 2*i**3 - 1 - 4*i**3)*(142*i + 116*i - 36*i).\nAnswer: 222*i**4 - 222*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156856036721\/2381590 + 570\/238159. Let b = -68646 + z. Let m = 2789 + b. What is the common denominator of 61\/4 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6254, 50090, 169118, 400934, 783134?\n\"Answer: 6266*b**3 - 26*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -3102?\nAnswer: 3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 4. Let x be i(6). Suppose 3*r + 4*q = 2*r + 32, -14 = -r + x*q. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 26 = -4*l, -4*l - 56*p + 6 = -58*p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p - 29*p + 250358 - 251140 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 4*p**3 - 7*p**3 - 3*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3)\/(-3*24\/(-324)). Solve -a*i - 9 = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206484 (base 9) to base 3\nAnswer: -20020112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 126*o**3 + 2*o**2 - 2*o - 4. Suppose 0 = -y + 2*s + 5, -s + 0*s + 14 = 5*y. Let j be z(y). Let l = -2053 + j. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/7))**(12\/11)*(b**(-2\/25))**(11\/4) assuming b is positive.\nAnswer: b**(5153\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.310539 millennia in decades?\nAnswer: 631.0539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2. Let g be ((-20)\/(-5))\/((-2 + 3)*-2). Let b be 9*1\/3*g. Let q(a) = -a**3 - 13. Give b*q(h) - 39*m(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:01 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**7\/126 + j**6\/15 + 19*j**5\/60 - 2*j**4\/3 - 454*j. Suppose z(k) = 0. What is k?\nAnswer: -3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/9)*i*i**8)\/(i**(-16))**(5\/4) assuming i is positive.\nAnswer: i**(268\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (-2 - -3 - (66 + -55) - -15).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixfxvffxmfxfifcvf. What is prob of sequence mv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -128 - 84. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103734 divided by 2?\nAnswer: -51867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 582*j - 13999. Give t(24).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 683 and 4664207.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72735936 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1927 + -1.7723\nAnswer: 1925.2277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 - 3 - 5*f - 3 as o*f + j and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -113539.03*-5\nAnswer: 567695.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i + 26004 = 3*i + 27064 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 7*x - 10. Is x <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - 9 - 3) - (79 + -78).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**2 - 340*w + 5257. Let j(g) = -3*g**2 - 170*g + 2631. Let u(n) = -3*b(n) + 5*j(n). What is the first derivative of u(i) wrt i?\nAnswer: 18*i + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -3\/8 (c) -0.2 (d) 4\/5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19565\/6 - -3262. Let d(q) be the second derivative of -a*q**3 + q**2 + 38*q + 0. Give d(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/(-56) + 1\/4. Let k = 18 - 17. Sort k, -4, g in decreasing order.\nAnswer: k, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + q**4 - q**2 - 10 - 14*q + 2*q**3 - 3*q + 14 to d*q + z*q**3 + t*q**4 + w + n*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 67 + 103 + 58 + 55 - 343 + 60.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/55 - (-365)\/(-11). Let u be 1\/3*18\/t. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176649 is divided by 43964?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21941556974271 - -0.5.\nAnswer: 21941556974271.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17058, -17044, -17030, -17016, -17002, -16988?\nAnswer: -16974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/3 - 306344*n\/3 + 5865415396\/3.\nAnswer: 4*(n - 38293)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6763330, 13526662, 20289994?\nAnswer: 27053326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12767887 (base 9) to base 11\nAnswer: -3616644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153.1 - 153. Let h be (-1)\/2 - 21\/6. Let y = -89 - -86. Which is the nearest to d? (a) 4 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 t, and 1 k when four letters picked without replacement from illtklgl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 - -157. Suppose 2*p - 3*d = -2*p + 40, -5*p = 2*d - w. What is the remainder when 49 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 0 + 5)**2 - (-5 + (sqrt(96)\/sqrt(4))\/sqrt(8)).\nAnswer: 89*sqrt(3) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 5*y + 3*f - 124 = 0, 5*f - 16 = -y. Let b = y - 12. Suppose 0 = 4*j + 6 - b. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 15799*u**3 - 11*u**2 + 16*u - 8. What is the tens digit of k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/21)\/(o\/(o*(o*o*o**(-35))\/o)) assuming o is positive.\nAnswer: o**(-716\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.7194mm in meters?\nAnswer: 0.8567194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6237 and 6237?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4 - 1 - 5 + 3. Let s(d) = -5*d**2 + d + 2. Let c(p) = 3*a(p) - s(p). Does 23 divide c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*i + 5*x = -53*i - 10, -2*x = 2*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.89214 or -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.8869l in millilitres?\nAnswer: 635886.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-26)\/u*u)**39*(u\/(u\/(u\/((u\/u**(-15\/8))\/u))))\/(u\/(u**7*u)*u) assuming u is positive.\nAnswer: u**(-7135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19722 and 92036.\nAnswer: 276108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415\/(-166)*(-8)\/(-12).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 741.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 885 + -887. Let g = -5.3 - -5. Are g and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4340*l + 102323.\nAnswer: -4340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 - -a1?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 13. List the prime factors of t*2*3\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.067 + 0.262. Let y = -0.084 + l. Let s = -0.110906 + y. What is s rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12620*-600\nAnswer: 7572000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-282)\/4*(0 + -2). Let f = -1553\/11 + r. Let n(g) = -g**3 + 9*g**2 - 9*g + 5. Let y be n(8). Which is the second biggest value? (a) -5 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k + 10. Let n be d(7). Is 14 a factor of (-10)\/(-15) - n\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l**(1\/2)*(l*l**3*l)\/(l\/(l\/(l*l*l*l**(-5)*l*l))))**1 assuming l is positive.\nAnswer: l**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f - 109*f - 6*f - 10*f.\nAnswer: -156*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4350 and 93786?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 1\/2*r**4 - 2\/7*r**7 - 4\/5*r**6 - 18 + 1\/2*r**3 + 3*r - 9\/20*r**5 + 0*r**2. Suppose q(o) = 0. What is o?\nAnswer: -1, -1\/2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -252*n**2*q**3 + 20*n**2 + q**4 - 37 with respect to q.\nAnswer: -756*n**2*q**2 + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 8*i**2 + 8*i + 13. Let t be z(9). What is the biggest value in -0.1, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*y - 36, 4*a + 4*y + 34 + 130 = 0. Let x be (570\/a)\/((-2)\/16). Suppose -10*u + x = -276. What is the greatest common divisor of u and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**3 + 2*f**2 + 2*f + 10. Let v(k) = -k**3 + 1. Let t(j) = -p(j) + 8*v(j). Suppose 0 = o + 2*a, -9*o = -14*o - 2*a - 8. What is t(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 7, -64, -165, -296?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 4*k. Suppose u - 13 - 36 = k. Suppose -2*z - u = -3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 17*p**3 - p. What is a(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 2*d**2 - d - 4 + 1 + d + d**2 - d + (-10 - 4*d + 10)*(63*d - 44*d - 47*d) + 3*d**2 - 4*d**2 + 0*d**2 + d**2 - 2*d**2 + 0*d**2.\nAnswer: 113*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-8)*(-5 + 52\/4). Let v(i) = -5*i + 9. Let c(y) = y - 1. Calculate r*c(b) - v(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 961470560 a multiple of 1255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1. Let y(a) = -55*a - 4. Calculate 6*d(p) + y(p).\nAnswer: -55*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + l**3 - 2*l**3)*(4*l - 15*l - 7*l).\nAnswer: 90*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -56108280 divided by 467569\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9440 divided by 6.\nAnswer: 4720\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 2, 1, -8, 0.2, 214\/7 in decreasing order.\nAnswer: 214\/7, 2, 1, 0.2, -0.1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15574323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 + 9990*w + w**2 - 9956*w as b*w + t + o*w**2 and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10981808 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0055 - -4.0055. Let q = -0.4 - 1.6. What is the nearest to 4 in -1, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31069*400\nAnswer: -12427600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6*n**2 - 42*n + 38. Let f(l) = 3*l**2 + 2*l. Calculate the least common multiple of p(10) and f(2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 421*r**2 - 173331*r - 748212 with respect to r.\nAnswer: 842*r - 173331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1000021022022?\nAnswer: 1000021022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -25, -4, -0.1, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 10110.49939768\nAnswer: -10110.89939768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48 and 3 + (-332)\/8 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 = 0, 4*c = -2*a + 7*a - 11. Let n(q) = -3*q**2 - q - 5. Let z be n(c). What is z rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -9. Let c be (0\/1)\/((3 + -1)\/(-2)). Is z at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 - 1\/2*r**3 + r**2 - 5\/6*r**4 + 0*r. Is b(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7. Which is the nearest to u? (a) 5 (b) 2\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2939, -77, -57 in increasing order.\nAnswer: -77, -57, 2939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 60 - 7*v**3 - 2*v)*(3*v - 3*v - v**2).\nAnswer: 7*v**5 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.062 - -28.062. Let c = 20 - y. Let m = c + 7.99999976. Round m to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2148139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 11*o + 35. Let t be v(6). Solve -5*y + 14 = -2*y - s, 4*s + 28 = t*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 27*z - 3. What is t(3)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123 + 143 - 250)*(-3*r**2 + r**2 + 4*r**2).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 3 + 5 + 5*m - 5. Let n = 145 + -150. Let z be o(n). Put z, -4, -2 in decreasing order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 2\/19*v**2 - 2\/19*v**4 + 0*v**3 + 0.\nAnswer: -2*v**2*(v - 1)*(v + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.298315 + -0.2975. What is v rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 377\/28980 + -6\/805. Let l(v) be the second derivative of -1\/18*v**3 - 5*v + 1\/60*v**5 + 0 + 1\/18*v**4 - 1\/4*v**2 - j*v**6. Find s, given that l(s) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3272, -6492, -9666, -12794, -15876?\nAnswer: -18912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p = 168. Let d = -39 + p. Suppose -d*m - 27 = -5*t - 10, 0 = 5*t - m - 9. Solve -2*x + 2 - t = -n, -n - 9 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Let s(g) be the second derivative of -g**4\/12 + 7*g**3\/6 + 2*g**2 - 427*g. List the prime factors of s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4607391 = -72*v + 6484281. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c**3 + c**2 + 46*c - 92. Give r(2).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3 - i**3 - 1935*i**4 - 2742*i**2 - 650*i**4 + 609*i**4 wrt i.\nAnswer: -47424*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 11*f - 484 = -3*g, f = 2*g - 332. Solve 3*y - 31*y = -g for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2 + sqrt(1584) - sqrt(1584)) + sqrt(1584))*-4*-2*3)**2.\nAnswer: 691200*sqrt(11) + 22867200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1705 - 1683. What is the smallest common multiple of s and 76?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 304.4 + -102.4. Is 2 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-38380)\/(-12))\/(-5 + (-182)\/(-36)). What is w rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*68\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 - -26.1. Let p = m + -22.6. Which is the closest to 0? (a) p (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 83*j**2 + 166*j + 6865. What is z(-84)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wncqdnwdcdwdqdwddq. Give prob of picking 1 n, 1 w, 1 d, and 1 q.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -262.733 + -0.067. Let h = i - -268. Let v = -13 - -13.1. Put v, h, 2\/5 in descending order.\nAnswer: h, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)\/sqrt(9) - (1*sqrt(5) + sqrt(5) + -3))**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/54)\/((-4)\/6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 + 3*i**3 + i**3 + (-4*i**2 + 3*i**2 + 2*i**2)*(-i + i - i) + i - 2*i**3 - i + 9*i**3 + 6*i**3 - 9*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 625*b**2 - 270*b**2 + 469*b**2 + (-5*b - 5*b + 5*b)*(4*b + 0 + 0) as w*b**2 + n*b + t and give w.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.057 - 72.943. Let c = -15.81 - 57.91. Let g = u - c. What is g rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2480*v + 128428. Calculate t(52).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1005, -958, -911, -864, -817, -770?\n\"Answer: 47*u - 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 37 = -3*h, 2*u + 5*h = -2555 + 2510 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n - 10*n - 868 = -n + 1628 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238338989 to the nearest integer?\nAnswer: 15438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3213 - -131212?\nAnswer: 122444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4080.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67409 by -222.\nAnswer: -67409\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 4:01 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 3. What is the tens digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0) + (8 - 3) - ((8 - -9) + 73)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*309.\nAnswer: 154.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1696\/(-106) - (53\/(-4) - 1)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7717703 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215 + 233. Suppose 10 = g + 4*g. Suppose -2*x - g = -5*v + j, 3*v - 4*x = 26. What is the closest to v in 2, -3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36119\/60 - -602. Let d = 30313\/20 + -1516. Let a = d + z. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + 452 - (3 - 2).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 5713884?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.4 (b) 5 (c) -3 (d) -3\/1163 (e) 1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba (base 14) to base 2.\nAnswer: -10100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (176 + -191 - (-7 - -1 - -69)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317038163 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 + 3*d**2 - 2*d - 1. What is the remainder when k(2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2 + 2)*(-3223 - 1532 + 482 - 8242 + 1338).\nAnswer: -22354*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.6269 to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4323, 4322, 4321, 4320, 4319, 4318?\nAnswer: 4317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 4, 70, 1, -10, -5 in decreasing order.\nAnswer: 70, 54, 4, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 2*t - 2. Let d be v(-2). Let c(x) = -x**2 - 18*x - 28. Let b be c(-12). Let n = b - 42. Solve -y = d - n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 19 + 16. Suppose -v + 6 = -d. Let u(k) = 4*k**2 - k + 1. Let f be u(d). Solve 9 = -f*p + 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97608236 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**2 - 1 - 4*k**2 + k**3 + 0 - 2*k + k = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f - 4. Let k be d(1). Suppose 3*y + 53 = k*x - x, -2*x + 19 = y. What is the remainder when (20 + 1)\/(1 - 5\/x) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 153 = -2*k, -5*k + 141 = g - 0*k. Suppose 1060 + g = 3*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*h - 1 - 3 = 0, -5*m + h = -44. Suppose 0 = 5*q + 2*a - 10, 4*a = -0*q + 4*q - m. Factor 6*v**q + 4 - 2 - 2 + 2*v**3.\nAnswer: 2*v**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/29 less than -114.53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36062? (a) -12\/11 (b) 0.087 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211303 to the power of 1\/2, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124504?\nAnswer: 2, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:11 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -100, 3, -1\/16862, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -17.\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 3:06 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316*154\/17248 - -3*(-1)\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.82. Let z = d + 0.62. What is the closest to 2\/3 in z, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 3, 6, 1744\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, -2\/25, 4022.6, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Let s = 2 + v. Suppose -s*r = -118 - 12. Solve k + 3 = -g, r = -2*g + 5*g - 4*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 1024 = -4*x. Suppose -6*q - x = 134. Let o = 69 + q. Solve -b + 0*f - f + 6 = 0, -10 = -o*b + 3*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = 26. Let u be (-1 - (-6)\/(-4))*131\/655. Which is the nearest to u? (a) -2 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*8\/(-4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351 by 3.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49672672 and 316?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*r + 4*v, 2*r + 2*r - 45 = -5*v. Let d(w) = w**2 + 4*w - 3*w + r*w - 84 + 83. Give d(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206 - 190. Calculate the highest common divisor of 32 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*b*r*w + 2*b*r + 13*b*w - 2*b + 311*r*w + 5*r - w wrt b.\nAnswer: 5*r*w + 2*r + 13*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 5316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*q + 2. Let x(a) = 249*a**3 - 124*a**3 - 5*a - 133*a**3 + 6*a + 2 - 3*a**2. List the prime factors of x(q).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 313604*u**3*x**3 - 83*u**2*x**3 + 2*u**2 - 102*x**3 wrt u.\nAnswer: 1881624*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*c**13)\/c))**(1\/38) assuming c is positive.\nAnswer: c**(-11\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -29*z**2 - 325*z - 55. Let u be p(-11). Solve -31 = -u*m + 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 9*h + 42 - 7 - 28 + 24*h.\nAnswer: 33*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (933*b**3 - 446*b**3 + 340*b**3)*(0 + b**2 - 4*b**2 - 3).\nAnswer: -2481*b**5 - 2481*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41031.9999982957 - -41032. Round s to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-2 + 1))\/7. Let r(b) = b**2 - 3*b + 3. Let x be r(3). Suppose -6*f = -x*f. Is f > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40*576\/(-4275) + -6 and 2\/437.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*u - 12. Let o be u\/(-6)*(-30)\/(-4). Let h(y) = -2*y + 50. Let v be h(23). Let a(w) = w + 4. Let b(i) = 2*i + 5. Determine o*a(j) + v*b(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1113235 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112160 and 28870685.\nAnswer: 3505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13418 + -7756. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 240*t + 95*t - 4589*t - 251*t to b*t + h and give b.\nAnswer: -4505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -460 - -445. What is the units digit of d*(6 - 700\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7987 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -5, 13?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 2)*2\/(-1). Suppose 629 = -z*j + 3*u, -2*j - 6*u = -3*u + 301. What is the units digit of j\/(-15) - 2\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -3 - (28 + -19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -16*t**3 + 10*t**2 - 18. Let r(q) = 8*q**3 - 4*q**2 + 9. Give -2*m(o) - 5*r(o).\nAnswer: -8*o**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -10 - 10. Suppose 15 = -3*m - 3*g - 3, g + 14 = -2*m. Let x be 348\/42 + m + 66\/14. Solve -3*u = 4*s + 3 + 8, x*s = -i*u - 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*o + v - 2, 0 = 3*o - 4*v + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -516 - -247.1. Let s = -201 - l. Let y = s + -68. Which is the closest to y? (a) 0.5 (b) 19 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -1\/73, 7, -1?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5875 + 0.032?\nAnswer: 8.6195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11752 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 + 210.7. Which is the closest to -0.1? (a) w (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 29 = -41. Suppose -b - 11 = 2*f, -2*f + 24 = -p*b + f. Let i be (-379)\/(-3) + b\/27. What is the greatest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 1\/4, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1769 - 3743. Let k = -15771\/8 - w. Calculate the common denominator of k and (-8)\/(-12) - (-470)\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-81)\/(-36))\/(6\/8). Suppose 4*h - 3 = 5. Suppose 0 = -x + o + h. Solve -x*t + 3*t = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*o**6 + 2*o**5 + 157*o**2 + 2 wrt o?\nAnswer: 5280*o**3 + 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16430944021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(1\/15)*q*q**(-2\/43)*(q**(-6))**(-3\/37) assuming q is positive.\nAnswer: q**(59821\/23865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1596*w - 4664 - 124 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17670 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 433.3.\nAnswer: -436.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 219531814 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**7\/2520 - i**4\/12 - 2*i. Let f(d) be the third derivative of z(d). Let t(u) = 2*u**2. Determine f(t(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -77.2. Let n = -31.5 + 29.8. Let s = b + n. Round s to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 - (-12 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 71. Give s(-33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-34 - -44 - -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83 and 1916885?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 4*x - g, 85 = 3*x + 4*g + 21. Suppose -x - 1 = -5*f. Suppose -v = 5*d - 0*v + 859998, -f*d - 2*v - 859996 = 0. Round d to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 4*z + 24 = 3*d, 0 = 2*d - 4*z - 22. Suppose -2*f - d + 13 = 0. Suppose l**4 - 4*l**3 + 6*l**3 - 3*l**f = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4 = 2*z. Let s(p) be the third derivative of -p**4\/24 - 5*p**3\/3 + 6*p**2 - 23. What is s(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 + 6.57. Let a = -6.618 + k. Let y = 0.18200129 - a. What is y rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntty when four letters picked without replacement from tyyntyt?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4193, 2197, 4 in descending order.\nAnswer: 2197, 4, -4193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720*i = -733*i + 39. What is the highest common factor of i and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.053 - 7.6292.\nAnswer: -7.6822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54224281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7320 times -86747\nAnswer: 634988040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 830744351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50853 times -6.744?\nAnswer: -3.42952632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96.49 - -97. Let r = q + -0.5099941. What is r rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 296*h + 300*h = -2, 0 = h + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/120 + j**5\/20 - 5*j**4\/24 - j**3\/6 - 3*j**2. Let m be x(-4). Suppose 0*g + 30 = m*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 58323 + 6*o**3 + 58316 - 7*o**2. Let m = -20 - -41. Let p(y) = -y**3 + 2*y**2 + 2. Give m*p(i) + 6*x(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 11935\nAnswer: -5967.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 4.64. Let q = w + 1.359963. Round q to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 + n**4 - 4*n**4 + (2*n**3 - 4*n**3 + n**3)*(3*n - 6*n + 4*n) + (3*n**3 - 4*n**2 + 4*n**2)*(2*n - 3*n + 3*n).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g*j**2 - 316*g*j - 236572*g + 2*j**2 - 9*j wrt j?\nAnswer: -4*g*j - 316*g + 4*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 26*s - 25*s. Let x(a) = a + 2. Let r be x(-2). Solve 4*i = -r - s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153025 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59627583 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 14baa700?\nAnswer: 14baa705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 9*n**2 - 3*n + 9. Calculate the remainder when o(-9) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/395611 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (1 + -3 + -4080). Suppose -2*z - 5*t = -2040, -4*z - 3*t + t + u = 0. Suppose -2*c = -3*c + z. What is c rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + b. Let c be l(0). Suppose 2*w + 44 = 6*w - 3*r, w + 2*r = c. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 15*c**2 + 12*c + 22. Let z be j(16). Let n be (3 - z\/4)*(-10 - -12). Is 26 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5641077, -5641074, -5641071, -5641068, -5641065, -5641062?\nAnswer: -5641059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 + 2*r - 4. Let x be g(4). Suppose -x*i - 6 - 2 = 0. Let k = 10 + i. Calculate the highest common divisor of 12 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 - (0 + 6 + -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 32 = -28*r + 23*r, 0 = -3*v - 3*r + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6500 + 12998 - l - 6498.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 0.02 (b) -5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**3 - 13*r**2 - 10*r - 15. Let d(b) = 11*b**3 - 20*b**2 - 15*b - 22. Let a(x) = 5*d(x) - 7*g(x). What is a(-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81659, 163322, 245007, 326726, 408491, 490314, 572207?\nAnswer: 654182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -481*j - 4310. Let s be c(-9). Let u be (-202)\/(-10) + (-6 - -4). Is s equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91885 is divided by 432?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 - 1573*w**2 + 1573*w**2.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 6 = -2*o. Let y be 21\/o*(2 - 2\/(-3)). What is the hundreds digit of (y\/(-2) - 54)*4\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -619*l**2. Let y(w) = w. Give g(y(j)).\nAnswer: -619*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1624*a + 13377 + 36349 = -81179 + 10729 for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-45)*-3)\/(2\/5). Find the third derivative of -13*o**6 - 16*o**2 + 0*o**2 - 5*o**s wrt o.\nAnswer: -1560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x + 4 = 0, 4*m - 70 = 2*x. Calculate the highest common factor of 153 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*v = 97*v + 244. Solve -4 = 123*g - v*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) - (-2)\/(-12). Let j be (4*30\/(-48))\/(1 + -4). What is the closest to 0 in o, -2, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -28. Solve -t - 4*b = 1, -4 = -3*t - i*b + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k - 7. Let b(s) = 10*s + 8. What is 6*b(g) + 7*p(g)?\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - (-193)\/3. Suppose -2*q + 580 = -4*w, w = -11 + 2. Calculate the highest common divisor of i and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 3*g**2 - 6*g. Let d(f) = -5*f**2 - 13*f. Give -3*d(m) + 5*i(m).\nAnswer: -5*m**3 + 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11000100110110100110 (base 2) to base 6\nAnswer: -25140530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let d(x) = -3*x - 8. Let g(b) = d(b) - 4*n(b). Let m be g(6). What is the smallest common multiple of 20 + -3 + 5 + m and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(5 + 0)\/(-90).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f - 3. Let u be 2\/(-5) - 69\/15. Let z be o(u). Let a = -61 - -121. Calculate the highest common factor of a and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(2*sqrt(156) + sqrt(156)))\/sqrt(12) + (((sqrt(325) - sqrt(13))**2 + sqrt(13))*-6 - sqrt(13) - (sqrt(1573) + sqrt(1573) + -1)**2))*4.\nAnswer: -30164 + 136*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/5 - 2*n**3 - 23*n**2\/5 - 12*n\/5.\nAnswer: n*(n - 12)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 74555385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**(-8))))\/y*y*y*y\/((y**(-17)\/y)\/y) assuming y is positive.\nAnswer: y**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 849, 3527, 7991, 14241?\n\"Answer: 893*z**2 - z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.015 or 19192?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54300698 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 799531074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/782 + (-1370)\/(-115).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**3\/3 + 13*o**2\/2 - 4*o - 441. Let z be (5 - 132\/28) + 68\/7. Determine b(z).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 22*t - 117*t - 398*t in the form p*t + n and give p.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, 222, 3, 1\/2 in descending order.\nAnswer: 222, 3, 1\/2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107252\/2059 - -3051\/58. Calculate the common denominator of t and 56\/5.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 3*c**2 + 3*c**2 + 30*c + 50*c in the form k*c**2 + a + g*c and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 2012*d**2 - 256000*d - 750000.\nAnswer: -4*(d + 3)*(d + 250)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) -5 (c) 2\/137 (d) 0.3 (e) 97\/5 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 10 = -18*s. Let l(o) = o**3 + 3*o**2 - 2*o + 3. Let w(q) = 2*q**3 + 5*q**2 - 4*q + 5. What is s*l(v) + 3*w(v)?\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(2\/13))\/n)*n**(-29))\/((n\/(n**25*n))\/n*n*n**(-8)*n))**(4\/23) assuming n is positive.\nAnswer: n**(200\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 18*m**2 + 6*m + 4. Let n(z) = -2*z**2 + 10*z - 12. Let a be n(4). List the prime factors of f(a).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-8 - -3)\/(-5). Let t be b + 5\/(45\/12)*-3. What is the second smallest value in t, -0.2, -2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1779136 divided by 64?\nAnswer: -27799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4139, -4, 417 in decreasing order.\nAnswer: 417, -4, -4139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z + 142 = 2*s, -5*s = z - 389. What are the prime factors of 144\/14 + (-22)\/s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4838682 is divided by 278.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 14*r**2 + 11*r. Let i(c) = 7*c**2 + 6*c. Let f be 24\/(-14)*(-14)\/4. Let g(b) = f*x(b) - 11*i(b). Let m(a) = 2*a**2 + 8*a**2 - 11*a**2. Give m(g(s)).\nAnswer: -49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -36102610?\nAnswer: 10830783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:43 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*b = -84*b - z - 5, 0 = 5*b + 2*z - 46 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3668441 + 459541 = 0. Let n = -52146013\/65 + o. Let s = n + 106\/5. Sort s, 0, -3 in decreasing order.\nAnswer: 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 45, 69, 111, 177, 273, 405, 579?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 11. Let l be 2\/(-4) - x\/(-4). Put l, 1, 3 in decreasing order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -746\/121 - -170512\/27225. Let r = s - 4\/45. Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 37. Let a = 39 - d. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, 0.3, -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.779973 minutes?\nAnswer: 0.01299955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -111638.39873 and 0.4?\nAnswer: 111638.79873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2388, 2400, 2410, 2418, 2424, 2428?\n\"Answer: -k**2 + 15*k + 2374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512b (base 12) to base 16.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + a**2)*(2*a + 3*a - 6*a) - 2*a**3 + 1 - 1 + 2 - 1 + 0 - 2*a**3.\nAnswer: -5*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3025710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (17 - 59) - 30 - (-112 + 2 + 0)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7692.511 decades?\nAnswer: 769.2511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 0 = -6. Let i be (-2)\/(n + -2 + 36\/18). Solve h - 12 = -i*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -11. Suppose 4*j - 11 = 3*h, 3*h - 2*j = 7*h + r. What are the prime factors of (174\/h)\/(((-18)\/20)\/3)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - -73. What is the highest common factor of n and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*j**2 - 74*j**2 + 39*j**2 in the form l*j**2 + p + s*j and give l.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1101001?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 570? (a) -10\/3 (b) -53 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 188 divided by -4\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1604 != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9)*(-117)\/52*-4. Solve -s*a - 3*c = -5, -6*a - c + 19 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cb0d8 (base 15) to base 9\nAnswer: -1182475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.4 (c) 0.2575\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - u**2 + u**2 + (-62 + u + 62)*(u + 7*u**3 - u).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 7:35 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luolqkkulullllloq. Give prob of sequence ll.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 + (-1 - 2) - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**16*(((d**1\/d)\/d)\/d)**(1\/31) assuming d is positive.\nAnswer: d**(-126\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**3\/3 - p**2\/2 + 4*p - 79. Let f be v(3). Solve -4 = 6*m - f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 68 + 7 = 39 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/3 - (16 - (-190255)\/(-39)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -4*y**3\/3 + 3*y**2\/2 - 2*y - 8428. Let s(r) = -9*r**2 + 7*r - 5. Let j = -10 + 16. What is j*s(g) - 14*w(g)?\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s - 9. Let p be c(4). Suppose -5*z + 3*y + 5357 = -0*z, -5*y + 3187 = p*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 2. Let v be (-20)\/(-6) - ((-14)\/21)\/(-2). Suppose -v*o - 7*o = -0*o. Determine m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416009 is divided by 2377.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (61\/4 - (-75 + 89)) + (-134)\/(-8). Solve -s = 4*g - 2*o, -2*g = -3*o + 54 - 43 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:15 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514 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: Calculate 21311509 divided by -4.\nAnswer: -21311509\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 6 - 3)*(3*d - 2*d + 2*d) - 3 + 2*d + 3)*(-d**2 + 4*d**2 + 3*d**2).\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**5\/20 + 2*l**4\/3 - 3*l**3\/2 + 3*l**2\/2 + l. Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1170.64 + 26.64. Let l = t + 1143.99999447. Round l to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - 9) + (-396)\/(-27). Let p = -6 - -4. Let v = 3 + p. What is the closest to 0.1 in 2, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -622 - 1790?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338629.\nAnswer: 23, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -5*j**6\/6 - 4*j**5 + 5*j**4 + 170*j**3\/3 + 225*j**2\/2 + 90*j + 132. Determine t so that d(t) = 0.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmalaadalmalaaaaa. What is prob of picking 2 a?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -5 + -12 - -3) + -29 - (1 + 8).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**5\/60 - v**4\/8 - v**2\/2 - 1. Let f(p) be the second derivative of i(p). What is the second derivative of f(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1.12.\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98)*-4)**2*5)*-6.\nAnswer: -42*sqrt(2) + 47040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*w - 13. Put w, 8, 4 in decreasing order.\nAnswer: 8, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35809566 divided by -108186?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 375332285287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201 and 7152?\nAnswer: 479184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015221 rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 - 2))\/(90\/(-315))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 3. Let y(l) be the third derivative of l**5\/60 + 7*l**4\/8 + 11*l**3\/2 + 53*l**2. Let h be y(-19). What is x(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2268 and -79\/33516.\nAnswer: 301644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-203)\/42 + 5 + (-7)\/6. Let o(j) = 5*j. Give o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -3, -4\/5, 0.11, -2, -0.5, 6\/11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - g**3 - 4*g**3 + (-2*g**2 - g**2 + g**2)*(-3*g - 2*g + 4*g) + 6*g**3 + 8*g - 5*g**3 + 0*g + 0*g + 2*g**3 + 0*g.\nAnswer: 3*g**3 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26333 to three dps.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arrararaarararaaarr. What is prob of picking 1 r and 2 a?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(187) + (sqrt(187) + -2*sqrt(187) + sqrt(187))*3)*2)\/(sqrt(44)\/(sqrt(4) + (sqrt(28)*-2 - sqrt(28) - sqrt(28) - sqrt(28))\/sqrt(7))*-2).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118514619.\nAnswer: 3, 29, 454079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1161.61ug?\nAnswer: 1161610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f + 71. Let n be l(15). Let p be (-47 + 1 - -10)*2\/n. Calculate the highest common divisor of 432 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 7. Let s be -3 + (-3)\/h + 3. Solve s*k = -4*b - b + 23, -b = -k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/25 + (-134)\/(-1675))\/(-2). Let q(w) be the second derivative of 10\/3*w**3 + j*w**2 - 4\/3*w**4 + 0 + 11*w - 1\/5*w**5. Let q(k) = 0. Calculate k.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 41*i + 90. Determine f(28).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q**3 + 3*q + 2. Let w(v) = 26*v**3 - 8*v - 6. Determine -3*w(t) - 8*x(t).\nAnswer: -6*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w**3 + 161*w**3 - 33*w**3 - 33*w**3 - 31*w**3 - 29*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (4476\/(-28))\/(-3) + (-4)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 3. Let f be g(6). Let a be ((-17)\/4)\/(f\/(-60)). Suppose -a = 2*i - 7*i. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + 3*c + 3. Let r(p) = -p**2 + 5*p + 13*p**2 - p**2 + 5 - 2*p**2. Let u(d) = 5*n(d) - 3*r(d). Let g(l) = 9*l**2 - 4*l. What is g(u(m))?\nAnswer: 36*m**4 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/60 - r**4\/12 - 2*r**3\/3 + r**2. Is a(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p*w**4 - 7*p*w**3 - 2*p*w - 2*w**4 - 73*w**3 + 329115*w**2 wrt w?\nAnswer: 96*p*w - 42*p - 48*w - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.938 - 0.638. Put -6, -2\/11, s in decreasing order.\nAnswer: s, -2\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by -1.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8*d - 7 = 0. Is 1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7824 + -625897\/80. Find the common denominator of -4\/595 and h.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -340*n**6 - 2*n**5 - 1917*n**2?\nAnswer: -40800*n**3 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*m - 198.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1306966212 and 6932?\nAnswer: 6932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5 - 16*x**4\/3 + x**3 + 46*x**2\/3 + 8*x = 0. Calculate x.\nAnswer: -1, -2\/3, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 2*m - 2*m + (1 + 0 + 1)*(4*m - 6*m + 3*m) - 5*m - 2*m + 3*m)*(0*m**2 - 14*m**2 - 14*m**2).\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58164, 58135, 58106, 58077, 58048?\n\"Answer: -29*z + 58193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 2444?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + o - 18, 3*k + o + 3*o = 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -92*u - 2951. Calculate h(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 50554 divided by 4410\nAnswer: 3611\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 295 = 3*g + 9*s - 71, 8*g + 4*s = s + 141 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 9*a**2 + 4*a - 16. Let r(f) = -f**3 + f - 1. Let o(z) = -2*r(z) + t(z). Let k be o(9). Solve 10 + 6 = k*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpphzchpzzzpzzppzzp. Give prob of picking 1 c and 2 p.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1279 + -1276. What is the biggest value in 1613\/5, k, 4?\nAnswer: 1613\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157487*p**2 + p**3 + 157487*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/((sqrt(4) + (sqrt(4) - (sqrt(8)\/sqrt(2) - sqrt(4))))*3))**2 + 3 + (2*sqrt(864) + sqrt(864))\/(sqrt(48)*2))*5.\nAnswer: 275\/18 + 45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32841.\nAnswer: 3, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 20.5.\nAnswer: -61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 7:28 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3637188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2 - 3*i + 2. Suppose 4*u + 21 = -b, 4*u = 3*u - 2*b. Let h(t) = 7*t**2 - 4*t + 2. Give u*c(v) + 5*h(v).\nAnswer: -v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6314*i + 3. Let z(b) = -373*b - 2. Calculate g(z(c)).\nAnswer: 2355122*c + 12631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2357124 to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j**(-7)*j\/j**(4\/3)*j**(-2\/11))\/(((j**9\/j)\/(j\/j**6))\/(j**2)**(-1\/26)) assuming j is positive.\nAnswer: j**(-8405\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3814)\/(-52)*116 + 60\/(-390).\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**3 + 6*g**2 - 5. Let q(y) = -3*y**3 - 6*y**2 + 4. Suppose -26 = 5*a - 3*c, -2*a - 79 + 81 = 5*c. What is a*f(s) - 5*q(s)?\nAnswer: -s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -38. Let p = n + -62. Let d(m) = -29*m - 50. Is d(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 4*r + 3. Let z be q(3). Let x = -0.067 + -1.933. Which is the nearest to z? (a) 1 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.901864 decades in months?\nAnswer: 108.22368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 12*y - 1. What is the units digit of h(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s + 59. Let o be i(-5). Solve o - 27 = -8*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16340 + 246*n - 140*n - 107*n - 16338 + 32678.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1123 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66484 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401541 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2472 and 1301930712?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -75?\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 49*y**2 + 399*y + 59. Let x be q(-40). Is -1501 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 8 = 14*c. Suppose -5*q = 4*p - 11, -5*q + 8 = -c*q + p. Which is bigger: q or 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 13*o + 0*o**3 - o**3 - 15*o in the form f + v*o + u*o**2 + r*o**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113030 + 113035. Let m(p) = p**3 - 5*p**2 - 6*p + 2. Let x be m(6). Factor 1\/11*o**w - 1\/11*o**3 + 1\/11*o**x + 0*o + 0 - 1\/11*o**4.\nAnswer: o**2*(o - 1)**2*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381159013 a multiple of 9413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -3 - ((-14 - 61) + (0 - -12) - -15)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -392*z**2 + 3 + 1015*z - 1167*z - 6 + 394*z**2 as v + f*z + b*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**3 + 26*s**2 + 51*s - 5. Determine i(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Let f = -0.17 - -0.03. Let g = f - -1.14. Which is the nearest to g? (a) 2\/3 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 145586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - -239. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 12. Solve l*y + 6 = -14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dll when three letters picked without replacement from {d: 2, l: 3, w: 10}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*l - t + 3*t, 2*t = 3*l + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12616, 50458, 113518, 201790, 315268?\n\"Answer: -h**3 + 12615*h**2 + 4*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-229 - -199 - 842\/(-28)) + 145\/28.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**9\/168 + n**5\/30 - 3*n**2 + 5. Let p(t) be the second derivative of a(t). Find the third derivative of p(h) wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4905.48 to the nearest 10.\nAnswer: -4910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 22*h - 20 = 5*b, 4*h - 8 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5 - 38 = 0. Suppose -2*d = 2*h + 1 - 3, h + 9 = d. Suppose -n*a = -10*a - d. Sort 3, 1, a in increasing order.\nAnswer: 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 53 (b) -0.0657578 (c) 0.1 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 839384816 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 n when four letters picked without replacement from rfnrnnnnr?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 0 + 1 - n**2 + n**2.\nAnswer: -4*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 19*d**2 - 29*d - 15. Let w be y(-21). Is 34 a factor of ((w\/10)\/(-3))\/((-47)\/(-940))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 297987.2ng?\nAnswer: 297.9872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -819636, -1639266, -2458894, -3278520?\nAnswer: -4098144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, t: 1, y: 5, o: 1}. Give prob of sequence teye.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5\/4. Which is the second biggest value? (a) 0.2 (b) 1 (c) 1\/23 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1234 divide 184812478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7942.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -9. Let k(z) = -2*z**2 + 29*z + 19. Let x be k(g). Solve 3*b - x*w = 19, -2*b - 2*w + 7 = w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 21532?\nAnswer: 11\/21532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2469*r = -6249*r - 23218 - 48602 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 4*d + 4*d)*(0*d + 0*d + 2*d**4) + 102*d**4 + 117*d**4 + 7*d - 228*d**4 - d**3 - 6*d**5.\nAnswer: -10*d**5 - 9*d**4 - d**3 + 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = 15*w + 21. Solve -2*i = w - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = -44*i + 14*i + 108 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 - -186. Solve 3 = m*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 24*p**2 + 43*p - 75. Give a(22).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(5*u**4 + 18 - 18)*(-44 + 59 + 86).\nAnswer: -505*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6231 is divided by 103.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - -0.7. Let t = -0.7 - b. Let y be 3\/2*12\/(-63). What is the closest to -0.1 in y, -0.4, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = -3, w - 5*a + 3 = 0. Let d(r) = -r - 18. Let b be d(w). Solve -2*i + 2 = b, y - i + 3*i = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 36.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u - 12. Let g(t) = 27*t - 48. Let o(b) = -2*g(b) + 9*y(b). List the prime factors of o(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27189307757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13840288 or 13840285?\nAnswer: 13840285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58768359 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 5?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -277*l - l**2 - 6 + 55 + 289*l. Let u be s(15). Solve 0 = u*z - 17 + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 7*b + 6. Suppose 2*v + 3*f = 29, -v - 4*f + 6 = -3*v. Calculate the least common multiple of a(v) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 + -65. Suppose 3*g + 3*q = -q - 1, 3*q = 2*g - 5. Let k be (g\/x)\/(7\/14)*6. Solve 10 = -2*l - k*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p - 1. Let a(y) be the first derivative of y**3 - 2*y**2 - 4*y - 4. Let u(d) = a(d) - 4*x(d). Suppose u(o) = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = j - u, -5*j + 654 = -24*u + u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65180574 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -286 - -288. Let u(m) = j*m**2 + 5 - 12*m - 3*m - 3 + 6*m. Determine u(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3826035475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - a = 3, 5*h = 3*h + 4*a - 32. Put -6, -28, h, -4, -3 in descending order.\nAnswer: h, -3, -4, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c - 1. Let m(t) = 11*t**3 + 8*t**2 + 2*t + 2. What is m(v) + 2*z(v)?\nAnswer: 11*v**3 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*o + z - 0*z, 0 = 4*o - z - 4. Let y be (-109)\/(-9) + (-40 - 966\/(-21))*-2. Factor 2\/3*w + y*w**2 + o.\nAnswer: w*(w + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 64*r**2\/7 + 122*r\/7 - 60\/7.\nAnswer: 2*(r - 30)*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 53314*o + 9. Let g be m(7). Let w = -122137 + g. Suppose 5*v + 4*x + w = -53934, v = 4*x - 60996. Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -17.6. Let y = 1.2 - 2.1. Let q = x - y. Sort 2, q, -0.3 in ascending order.\nAnswer: q, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2354\/9 - 66911\/252. Find the common denominator of -75\/2 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 247*l**2 - 3*l - 36*l**2.\nAnswer: 211*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let y(g) = g. Let c(a) = -6*a + 14. Let i be (9 - 5)\/4*-3. Let x(q) = i*y(q) - c(q). Calculate x(m(p)).\nAnswer: 3*p - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1398 - -1.33\nAnswer: 1.1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -176.55 and 2?\nAnswer: -353.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 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: Let z(w) = 96*w - 767. Let f be z(8). Put 0, f, 120 in descending order.\nAnswer: 120, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 30*z - 2*i = 32, i = 4*z + 39. What is the closest to -3 in 2\/17, -1, -7, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9*o + 25 = 4*o, -10 = 2*o. Suppose -9*h - 3*h + 22020 = u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*sqrt(1584) + sqrt(1584) + sqrt(1584) + sqrt(1584) + sqrt(1584) - sqrt(1584) - sqrt(44) - sqrt(704)*-2)\/(sqrt(20)\/(sqrt(15)\/sqrt(3)*-3)))**2.\nAnswer: 35743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -1\/9*k**3 + 0*k + 1\/12*k**4 + 2 + 0*k**2. Determine i, given that z(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*f - 865 + 34, -3*f + 15 = 0. Is 29 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -14, -21, -30, -41, -54, -69?\n\"Answer: -p**2 - 2*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17030053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62abb (base 14) in base 5?\nAnswer: 30104414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.5381135 + 14.2381112. Let y = -4.7 + v. What is y rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 4*o**3 - 3*o**3 + 8*o**3 + 8*o**3 + 28*o - 29*o + (2*o**2 - 2*o**2 + 2*o**2)*(-4*o - 2*o + o).\nAnswer: 8*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, -2\/15, -0.3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 8*a - 340. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or 789?\nAnswer: 789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 1 + 0 + 50.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966255 is divided by 482061.\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1737 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/1*(55\/(-10))\/(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91427, -182853, -274279, -365705, -457131, -548557?\nAnswer: -639983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 292104 and 900?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.8 + -13.7. Which is the nearest to v? (a) 1 (b) 0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:57 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 46. Let v(n) = i + 7 + n + 38. What are the prime factors of v(10)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - (-17)\/3) + (-104)\/(-6). Suppose 2*j - 107 = 2*o + 79, -j + 69 = 5*o. Find the first derivative of -j*v + p + 89*v - 15*v**2 wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*u + 21, -27*f + 23*f - 36 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*x - 320*x + 599*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 - 6*j + 2*j**3 + 6*j + 18 in the form c + p*j + f*j**3 + r*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 194944.\nAnswer: 584832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 20. Let t be p(16). Let l = 0.99 + -1. Let v = 3.01 + l. What is the second biggest value in 0.1, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (-56)\/(-21))\/(2\/20694)?\nAnswer: 2, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*z + 6. Which is smaller: 1\/22 or z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 362535*s - 2537990.\nAnswer: 5*(s - 7)*(s + 72514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -39*z**4 + 6*z**2 + 6*z + 2. Let w(v) = 39*v**4 - 5*v**2 - 5*v - 2. Let n(t) = 5*o(t) + 6*w(t). What is the derivative of n(a) wrt a?\nAnswer: 156*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:40 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 46*b. Let m be o(9). What is the third derivative of -37*f**2 + m + 23*f**4 - 414 wrt f?\nAnswer: 552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1. Let u(z) = -2*z - 1. Let r(w) = -6*w + 3*w + 2*w. Let y(q) = -3*r(q) + u(q). Calculate p(o) + y(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfhhwdhhhc. What is prob of sequence chh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 26*p. Let k(b) = -21 - 8 + b - 9 - 2 + 26. What is k(n(l))?\nAnswer: -2*l**2 - 26*l - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 80, 121, 162, 203, 244?\n\"Answer: 41*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -21*g - 60 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50783 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g - 684 = -134 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3337 + -0.3237. Which is the second biggest value? (a) -9 (b) j (c) 3 (d) 2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -20*8\/(-40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 688, 1248, 1966, 2848, 3900, 5128?\nAnswer: 6538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/((g**(-2\/9)*g)\/g))\/g)**(-2)\/(g*g**(-1))**(8\/7))\/((g**1*g*g*g**(2\/13)*g*g)\/(g**1)**(12\/17)) assuming g is positive.\nAnswer: g**(-13709\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 + 200. Are -43 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143508182*p**2*q**3 - 699*p*q**3 + 5*p*q**2 + 21156*p*q wrt p?\nAnswer: 287016364*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 2*v**3\/3 - v**2 - 1. What is the second derivative of a(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.551 and 82?\nAnswer: 75.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 874, 875, 876, 877, 878?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -872 + 924 - (5 + 112)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 179*s**5\/20 - 769*s**3\/3 + 325*s**2. Find the first derivative of y(v) wrt v.\nAnswer: 1074*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*x**4 + 2*x**2 - 180*x**3 - 3031*x + 180*x**3 - 21*x**4 - 46*x**4 wrt x?\nAnswer: -1380*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382997875 a multiple of 689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 2*p = 16*s + 4, -5*s + 2*p + 10 = 0. Let r(y) be the first derivative of -7 + 2\/33*y**3 - 2\/11*y**s + 1\/22*y**4 + 0*y. Factor r(t).\nAnswer: 2*t*(t - 1)*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - ((-15)\/3 + 2). Let w(s) = s - 1. Calculate w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2324 and 10292?\nAnswer: 72044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/(9\/(-1458)). Let h = c - 238. Let o = -55 - h. Is 25 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*q + j + 133, -3*q - 2*j + 189 = 0. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 39. Suppose -5*f = -2*f - z. Suppose r = 2*h - 215, -2*h - 2*h - f*r = -434. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 13616340.\nAnswer: 149779740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 2*z + 6. Let j(u) = -5*u - 4. Let h be ((-4)\/(-12) - -1)*(-3)\/2. Let y be j(h). What is the tens digit of g(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 966293511 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5194028 or -1\/3?\nAnswer: -5194028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973342\/126 + ((-92)\/45 - -2)*10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-720)\/135)\/(-7*(-6)\/9)*(-42)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 289.7 + -285. Let i = m + -4.7. Which is the closest to i? (a) 0.2 (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 9, r: 10}. Give prob of sequence ggg.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:10 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3311 (base 6) to base 2\nAnswer: 1011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 95 (base 13) to base 7\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*g**3 - 191*g**3 - 182*g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 (base 8) in base 11?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*26\/(-12)*(149 + 21 + -173)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 154*i**5\/15 - i**4\/4 + 61*i**3\/6 + 1462*i**2. What is the second derivative of u(n) wrt n?\nAnswer: 1232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:50 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 8*s**2 - 23*s - 19. Let g be n(-10). Solve z = 5, -z - g = 4*y - 0*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*b = -498*b - 500*b - 3*r + 246, 169*r = -b - 254 for b.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 231, -13\/2, 2570?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 4*g**2 + 4*g - 20. Suppose u + 12 = 16. Let r be q(u). Sort 3, 0, -1, r in ascending order.\nAnswer: r, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 - 4)) + -3682 + 3705\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**4\/12 - p**3\/2 - 5*p**2 + 18. Let z be (8 - 2)*(-2)\/(-4). Determine u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3199, -3211, -3241, -3301, -3403, -3559?\n\"Answer: -2*x**3 + 3*x**2 - 7*x - 3193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*l + 67 = 169, -170 = -5*m - 2*l. Suppose 4*x - m = 18. Suppose 8*h = 11 + x. Calculate the greatest common factor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3269808?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -279562328 divided by 66817?\nAnswer: -4184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/25282880 and -19\/560?\nAnswer: 25282880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/6 - 3*j**2\/2 + 52020*j - 1. Let a(b) = -13*b. Let q(p) = 4*p. Let h(u) = -2*a(u) - 7*q(u). Calculate h(f(c)).\nAnswer: 4*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 791*r**3 - 8*r + 4. Let q(l) = -3165*l**3 + 30*l - 15. Determine 4*q(u) + 15*t(u).\nAnswer: -795*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 9, 2*c - 4*u - 2 = 14. Solve 2*o = x + 1, -c*o - 2*o - 3 = -x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909933735 plus 39?\nAnswer: -909933696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/((-20)\/90). Solve -9 = g*p, -2*a - 4*p = p + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14*d**2 - 5*d + 9. What is the remainder when s(-3) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*22\/3520*-16)\/(-41).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 5 - -25) + (-57)\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1659\/158 + 3 + -31?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 6)*((4 - 3 - 2)*(-1 - 2*r + 1) + 3*r - 3*r - 3*r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 3 + (6 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6756, -16811, -26866, -36921?\n\"Answer: -10055*t + 3299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 22. Suppose -w*m + 10 = -17*m. Let m*l - 6*l - 2*l**2 - l**2 - 3 - 2*l = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -707.00998 - -707. What is d rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -397.48 less than or equal to -0.2005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -46761113 divided by 1508423?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 4*m + 4*j - 184, -8*m + 4*j = 100 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 1, s: 1}. What is prob of picking 1 m and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 796380900 and 1958.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.4 - 158.4. Let t = q + 71. Which is greater: t or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (72\/(-13))\/6)*(21 + -18)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7\/w)\/((w\/w**(-11))\/w))\/(w*w*(w\/w**6*w)\/w*w*w*w**3*w) assuming w is positive.\nAnswer: w**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-7 - -34) + -45 - -32) + (-1 - -13)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/261, -2, 3?\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.8*-968.5.\nAnswer: -42420.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.7, 1\/2, 834, -0.1 in increasing order.\nAnswer: -1, -0.7, -0.1, 1\/2, 834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/4 in 86, 11, 0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gigjic. What is prob of sequence iggc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75691 by -983.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + 0 + ((-3887)\/(-115) - 26))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*y**3 - y**3 - 127*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -23. Which is the second biggest value? (a) j (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o + w + 85, 4*o + 5*w = 39. Suppose -2*d + o + 38 = 0. Let n = d - 27. Solve -c + 1 + n = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*h + 3*n, 11820*h - 11817*h + 12 = -n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 47710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32261 + 2?\nAnswer: 32263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -22, 0.3, -21\/2, 24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 936591.9ug in nanograms?\nAnswer: 936591900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/4)\/(2\/1). Let t be (-2 + x)\/((-2)\/8). Suppose 3*z = -0*z + 2*r + 14, -t = 4*r. Which is the third biggest value? (a) 2 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 473722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3144 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -425700, -425701, -425702, -425703, -425704?\n\"Answer: -j - 425699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from dbb?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12851?\nAnswer: 71, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 315211932 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4100 - 2452. Let w = -8192\/5 + d. Determine a so that 24\/5*a + w + 3\/5*a**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x + 1. Let u(l) = -18 + 16 - 11*l**2 + 10 - 10*l. Let v(o) = 24*s(o) - 3*u(o). Find the second derivative of v(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/54 (b) 2\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**5 - 3105*a**4 + 489715*a**3 - 2368495*a**2 - 489720*a + 2371600 = 0.\nAnswer: -1, 1, 5, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -14404.967 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*s - 56*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 406, 406, 408, 412, 418, 426?\n\"Answer: b**2 - 3*b + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = o - 60, 8 = -4*g + 2*g. Let c = o - 41. What are the prime factors of (4\/(-10))\/((-2)\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1380.98, -3, 1\/3?\nAnswer: 1380.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 12*r + 4. Suppose 3*d + l + 24 = -3*l, -l + 51 = -4*d. Let x be z(d). Solve -w = x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/((-6)\/12). Let i be (-3)\/24 + l\/(-24). Suppose -4*m + 9*m - 445 = i. List the prime factors of m.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*n = -64*n + 486000. What is the least common multiple of n and 300?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -659 + 1335. Let r = b + -679.97. Let t = r - 0.03. What is the second biggest value in t, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-4) + -3 + -1. Let w be (-10 - -10) + 3 + z. Let k(t) = -t + 7*t**2 - 1 + w*t - t - t. What is k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-4)\/(-20)*-20. What is the highest common factor of o and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/200 and 1\/12724?\nAnswer: 636200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 1*(sqrt(704)*2 - sqrt(704)))\/(sqrt(8)\/sqrt(32)*-3)*1)**2.\nAnswer: 11264\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -286 + 285. Find the common denominator of (5392\/(-3240))\/u - 8\/10 and -47\/36.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30659143609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*f**2 - 14*f**3 + 11*f**3 + f**4 - 35*f**2 - 11*f in the form n*f**3 + b + d*f**4 + z*f**2 + s*f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hffbaamaabafabhfbhja. What is prob of sequence hbja?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**3 + 229*l**2 - 969*l - 605. Give j(41).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5129, -6039, -7561, -9701, -12465?\n\"Answer: -v**3 - 300*v**2 - 3*v - 4825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*m + 96 = -323 + 773. Determine a so that -54 - 343\/2*a**5 + 1253*a**m + 837\/2*a - 1152*a**2 - 294*a**4 = 0.\nAnswer: -4, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*125*(-7 + -57). What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60191763*q + 60191763*q - 5*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141*k - 2579*k - 1596*k.\nAnswer: -5316*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32875, -33022, -33167, -33310, -33451?\n\"Answer: l**2 - 150*l - 32726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 3*v + 3. Suppose 0 = 2*h - 0*h + 8. Let y be p(h). Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -5 (c) -1 (d) 3\/17 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b - 61. Let p(a) = 6*a - 32. Let s(m) = -5*p(m) + 3*u(m). Let f be s(8). Let g be 6\/255*5\/10. Is g <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 19*z**2 + 7*z + 138. What is the lowest common multiple of p(-19) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prrpppprppr. What is prob of picking 2 p?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*z + 13. Solve 1 = -z*a - 2*p + 7, 5*p - 15 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:06 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times -707035\nAnswer: -919145.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25395 - -25394.9999982417. What is n rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.5. Let r = 6.2 - 6. What is the nearest to m in r, -3, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + (737 - 184 + 96)*(0 + 0 + 1))*(-u**2 - u + u).\nAnswer: -651*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8657123 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2 (b) -4 (c) -236 (d) -5\/3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -b, 0 = -12*p + 116*b - 121*b - 33 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9571 - -172229\/18. Suppose -5*v = 2*l + 14383, 0*l + 5*v = l + 7199. Find the common denominator of q and (l\/90)\/(-11) + (-4 - -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-591)\/(-52) - (-18)\/(-24). Which is bigger: g or 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 303772 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-15) + ((-2718)\/(-30) - 0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15523 divided by -271.\nAnswer: -15523\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 4:46 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 + 31*s - 1. Let w be r(10). Solve l - 4*l = -w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*m - 4 = -8 - 10, -86*m - 91*m + 3 = -3*d - 174*m for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (0 - -1*130). Let w = y - 226. Round w to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 27*c**2 - 10*c - 12. List the prime factors of y(-4).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0)*(0 - 0). Suppose 37 = 5*q - n*m - 2*m, -2*m + 35 = 3*q. What is the remainder when 26 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -14\/5*t**4 + 18\/5*t**3 + 0 - 8\/5*t + 24\/5*t**2 = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = c + 92. Let d = c - 38. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4220569 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 - 138152 + 138164 + f**3 - 5*f**2 + 4*f**2 - 4*f to z*f**2 + a*f**4 + r*f + l + i*f**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 373387321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -17434.6 - -17435. Which is the smallest value? (a) -6257 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5210919 divided by 2133\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 4.1. What is the smallest value in -17, g, -0.3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 8*r**2 + 10*r - 4. Let b be f(9). Suppose 0 = -u + 7*l - 2*l - 4, -b*l = 0. What is the units digit of (2 + u + 8)*19\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -4. Suppose 3*o - 2*o + 5*q = -6, o - q = 12. List the prime factors of z\/(o\/(-21)) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 2. Let y be w(4). Find the second derivative of 241*o - o**y + 2*o**2 - 244*o wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((-3)\/((-18)\/14)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91129723?\nAnswer: 3701, 24623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let h(r) = 3*r + 3. Let j = 2900 - 2899. What is j*h(g) - 5*d(g)?\nAnswer: 8*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000397649781 to five dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8*(-5 - -3). Suppose -n = -3*n. Let r = -124\/1005 + -2\/201. Sort a, r, n in increasing order.\nAnswer: a, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 4*r**2 - 5*r - 8. What is the tens digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529577.\nAnswer: 529577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 1811644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.5 - -9. Let u = -354\/41 - -10093\/205. Let n = u + -41. Put y, n, -3.1 in decreasing order.\nAnswer: y, n, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*m + 2 = 0, -4*f + 5*m - 7*m - 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(576\/60))\/(2\/(-12))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 8 = -5*z. Suppose -4*g - 5 = -7*g - z*w, -3*g - 3*w + 9 = 0. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 94, 91, 88?\n\"Answer: -3*s + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 2. Let r be n(-4). Let u be 2*292\/(-24) - r\/6. Calculate the lowest common multiple of 25 and u\/(-6) + -2 + 2*2.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/49)*z))**(-2\/11)\/(z**(16\/9))**21 assuming z is positive.\nAnswer: z**(-60086\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 13*k**2 - 2*k. Let o be c(-13). Differentiate 9 - o - 25 + 10*m with respect to m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-8) - (-14)\/4. What is the third derivative of 2*n**h + 4*n**2 - 5*n**2 + 0*n**3 - n**3 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274753?\nAnswer: 31, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 8*m + 4, -4*w + 35 = -2*m - 29 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1211 (base 5) to base 10\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48550, -97183, -145792, -194365, -242890, -291355, -339748?\nAnswer: -388057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.5197444 - 44.52. What is w rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:31 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = 7. Factor -2\/15*k**4 + 0*k + 0 + 0*k**q + 2\/15*k**2.\nAnswer: -2*k**2*(k - 1)*(k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 647.9999589 + -648. Round k to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 + 172.9. Let o = -8 - l. Are o and 8.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 498835 and -0.4.\nAnswer: 498834.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-6)\/216*(-15)\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (29189792\/(-20))\/(-4) + 243\/405 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*v + b - 3, -2*b + 2 = 0. Suppose 3*j = -v*j + 24. Suppose 3*k - 33 = 5*c, 0 = j*c - 3*c + 15. 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: Evaluate 9 + 182\/(-10 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 326821.\nAnswer: -3\/326821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2261, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w. Let v be h(3). Let t = v + -13. Solve -2*o + 3 = -t*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371.58 less than 1.101?\nAnswer: -1370.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250329.\nAnswer: 3, 83443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-90)*18934470\/8332\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 58268448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2215 + -8a0a?\nAnswer: -67a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 794497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73818475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 11*u**2 - 32. Calculate p(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.97 - 0.03. Let v = -38687\/116241 + -20\/38747. Sort r, 2, v, 3.\nAnswer: r, v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/15))\/v**(-13) assuming v is positive.\nAnswer: v**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225\/31 or -6?\nAnswer: -225\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2389587.61 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-432)\/15)\/((-4)\/30). What is the common denominator of (-1)\/(-4) + (-406)\/k and 9*(3 - 175\/49) - -1?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 26*t**2 + 168 + 15*t**2 - 63*t**2 + 20*t + 25*t**2 - 15. List the prime factors of f(-23).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7982690 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 641376 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 178*n - 205*n + n**3 + 16*n**2 - 6*n**2 - 12. Let y be k(-12). Suppose -5*a - y = -4*i - 1, -i + a = -5. Solve 0 = u + 1, 2*u = -i*b - 12 + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/29486 and 19\/18?\nAnswer: 265374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*z**3 - 5*z + 83*z**3 + 45*z**2 - 14*z**2.\nAnswer: 713*z**3 + 31*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l**2 + 9*l**3 - 12*l**2)*(12 - 4*l - 12) + (-2 + 2 + 2*l)*(-16*l**3 + 37*l**3 + 5*l**3).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, -1, 246 in ascending order.\nAnswer: -1, 104, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1270, 1258, 1246, 1234, 1222?\n\"Answer: -12*h + 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 0, -3, -0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20283379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - t + 19 - 8, -3*t = -3*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 3.09.\nAnswer: 8.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-1)*(-1216)\/3040*14\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let f(n) = 3 - 3 + b + 2*n. Let r(u) = u. Determine r(f(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**2 - 69*a + 198. Let g be l(6). Put -0.05, g, -1\/121 in ascending order.\nAnswer: -0.05, -1\/121, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 25.3. Let j = d - 0.8. What is the nearest to 1 in j, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-3*sqrt(726)).\nAnswer: -sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-153)\/(-18) - 9\/6. Solve -2 = -x - g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 3*r**3\/2 + 9*r**2\/2 - 304*r. Let m(l) = -8*l - 8. What is 6*m(p) + 5*t(p)?\nAnswer: -3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**3 + 2*t**2 - 6. Calculate n(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -54*p**3 + 4*p**2 + 4*p. Let z = -25648 - -25573. Let k(x) = -1025*x**3 + 75*x**2 + 75*x. What is z*c(q) + 4*k(q)?\nAnswer: -50*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 15*j**2 + 73*j + 456. Let k be l(-8). Let o = 56 + -30. What is the greatest common factor of o and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/3*(-7)\/(-17 - -122)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*d**5\/8 - 39*d**4\/4 - 21*d**3\/4 + 9*d**2 + 93*d\/8 + 15\/4.\nAnswer: -3*(d + 1)**4*(9*d - 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:06 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 1. Let i(z) = 4*z - 1. Let o(k) = 3*d(k) + 2*i(k). Let q = -9 + 6. What is the units digit of o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -124, -255, -384, -511?\n\"Answer: o**2 - 134*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 981, 1025, 1099, 1209, 1361, 1561, 1815, 2129?\n\"Answer: f**3 + 9*f**2 + 10*f + 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 0 + sqrt(19) + -1 + 0 + sqrt(38)\/sqrt(2).\nAnswer: -1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-147)\/15 - 3)*-5. Let s = p + -25. Calculate the remainder when s is divided by -12*(4\/3 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8*z = -272910. Is z\/(-66)*-1*6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - f**3 + 16*f - 6*f**2 - 139 + 163. Let u be c(-6). What is the greatest common factor of 414 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -13 (c) -0.1 (d) 67 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12631 is divided by 67.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:34 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w*((w*w*(w**6\/w)\/w*w)\/w)\/w*w*w**4*w**(-7))**(-20) assuming w is positive.\nAnswer: w**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 10*y**2 - 24*y**2 - 19*y**2 to p*y**2 + s + i*y and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 + 1 - 3*i + 4*i + 2*i - 131*i**2. Let k be n(-2). Is (-6)\/(-8) + 0 - k\/4 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 35, 2.\nAnswer: -9, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71367\/5 or 14272?\nAnswer: 14272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0066 - -22.\nAnswer: 21.9934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 74*h + 1343. Calculate o(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 29*n**3\/6 + n**2\/2 + 2*n. Let u(i) = i**2 + 7*i + 7. Let y be u(-6). What is the tens digit of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/54)\/((-8)\/(72\/(-3)))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 >= -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1020700*16.\nAnswer: -16331200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -284209378*f**3 + 289998236 wrt f.\nAnswer: -852628134*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/30*(14\/4 + -2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 7*l**2 - 6*l + 3. Let j be x(8). Let i = -28 - -19. Let d(h) = -35*h - 144. Let v be d(i). What is the highest common factor of j and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.192328, 2\/83, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/41, 8, 0.2, -3, -4 in increasing order.\nAnswer: -4, -3, -12\/41, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109004215 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068695.502 rounded to the nearest 100?\nAnswer: 1068700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54760 and 6.\nAnswer: 164280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/2 + 19175*j\/2 + 124553 = 0. Calculate j.\nAnswer: -19162, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2612945*j**2 + 28742380*j + 165 = 0. Calculate j.\nAnswer: -3\/522589, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5189*m - 4061 wrt m.\nAnswer: -5189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2821773 and 477.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1008261.7 to the nearest one hundred.\nAnswer: 1008300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6680\/75 - 68 - ((-8)\/30)\/(-4)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85877761691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**2 + 5*u + 1. Let i(c) = -c - 2. Let f(s) = 3*h(s) + 7*i(s). Determine f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*a + d, 8*d - 9*d = a - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0*j + 2\/3*j**4 + 11*j**2 + 11\/6*j**3 - 1\/10*j**5 + 0 - 1\/120*j**6. What is the hundreds digit of u(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + (-7 - 0) - (1 - (-15 + 5)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l*l\/(l*(l\/(l**(-2\/7)*l))\/l)*l)\/l)**(-16))**48*(l\/l**(2\/7)*(l\/l**(-4)*l)\/l)**(-4\/3) assuming l is positive.\nAnswer: l**(-60064\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10366.\nAnswer: 2, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 7. Calculate n(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 684*b. Let s(z) = -z - 15. Give g(s(k)).\nAnswer: -684*k - 10260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a1 (base 11) in base 9?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 6*l + 14*l - 10*l)*(l - 6*l + 2*l) to c*l + r*l**2 + j and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 275 - 593 = -626 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79 or -30\/7?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 30321?\nAnswer: -30312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -291*x**4 + 4*x**3 + 3119*x**2 - 4909*x - 637.\nAnswer: -3492*x**2 + 24*x + 6238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6353*h**2 - 12801*h**2 + 6447*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3050, 10544, 18038, 25532, 33026, 40520?\nAnswer: 48014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - -11) + 6\/(-3). Suppose -2*l = -j - 21. Suppose l*a = 17*a + 2. What is the greatest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 23, 45\/1079?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8518)\/(-168))\/((-65)\/(-10)). Let z = -43\/273 + g. Calculate the common denominator of -93\/2 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f - 11361. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z**3 + 2*z**2 - 1. Let x be n(1). Let q be (-4)\/(2\/(-6)*-2). Let m = q - x. Is 2 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8235294 to the power of 1\/2, to the nearest integer?\nAnswer: 2870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, 7755 in increasing order.\nAnswer: -5, 0.1, 7755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*i. Suppose 0 = -3*b + 3*d + 9, 2*b + d - 34 = -4*d. Let a(x) = x**2 - 7*x - 5. Let t be a(b). Put t, i, -4 in descending order.\nAnswer: i, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1985, 3968, 5951, 7934, 9917, 11900?\n\"Answer: 1983*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(539)*-1)**2.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-6 + -4 + 23 - 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 13*s - 16. Determine l(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9269.2 milligrams in kilograms?\nAnswer: 0.0092692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4 - c - c**4 - 1002 - 1328*c**5 + 662 wrt c.\nAnswer: -26560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 6175910\nAnswer: 617591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 = -13*v + 14*v. Suppose 0 = -k + 2*o + v, -k + 395 = -3*o - 2*o. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23634 and 23634 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138192 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-493920)\/(-1404))\/40*48. Determine d, given that -2\/13*d**5 - 12152\/13*d - 1346\/13*d**3 + 88\/13*d**4 + t + 7924\/13*d**2 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33150 is divided by 16336.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - i**2 + 4*i - 2. Let r(y) = 9*y**3 + 11*y**2 - 10*y + 17. Let h(z) = -r(z) - 4*u(z). Let f = -5 + -1. Give h(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 928858270*p**4 - 1147679330*p?\nAnswer: 11146299240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 0 + 9)*(-11*a + 30*a + 1 - 2).\nAnswer: 380*a - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 g when four letters picked without replacement from uttuoauuoaagguauuou.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052165 rounded to 6 decimal places?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = d + 13, 3*d + 35 = 5*v. Let y be ((-2)\/1 - -35) + 4\/v. Suppose -q - y + 195 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -69, -275, -617, -1095, -1709, -2459?\n\"Answer: -68*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-7))\/((-12)\/(-42)). Differentiate -3*s**u - 5*s**2 + 4*s**2 + 12 wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(((-63)\/7)\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 2*v**7\/525 - v**6\/150 - v**5\/25 + v**4\/30 + 4*v**3\/15 + 7*v**2. Factor j(a).\nAnswer: 4*(a - 2)*(a - 1)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 - 15199*a + 991380. Give c(67).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -191*a - 1108. Let m = 421 - 299. Calculate the remainder when m is divided by w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -443070*t**3 + 1807*t**4 + 443070*t**3 + 3*t**4 + 2*t**4 - 4*t**4 + 0*t**4 + 3*t**4 - t**4 + (-2*t + 4*t - t)*(-3 + 3 + 2*t**3) - t**4 + 0*t**4 - t**4.\nAnswer: 1810*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s**3 + s - 1. Let d be w(1). Let l = d + -12. Suppose n - 6 = -l. Which is greater: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.6739343 to one decimal place.\nAnswer: 119.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-4 + 0\/4). Suppose -u + 0*u = f. Let i be u - -8 - 2\/(-2). What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 42*l - 28 = 44*l, 2*x + 2*l + 22 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, g: 1, d: 1}. What is prob of picking 2 v and 1 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 0*t**2 - 11*t**5 - 25\/4*t**4 - 10\/3*t**6 + 203 + 0*t + 10\/3*t**3. Solve c(p) = 0.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-145)*(-5)\/(-16)*6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.7811 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from egmiieaeeimmie.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -129?\nAnswer: 19\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1126044386 and -0.534354.\nAnswer: -1126044386.534354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.149 - -0.651. What is the third biggest value in 4, y, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {g: 8, k: 1, u: 1, q: 2, s: 3, d: 3}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Suppose 0*x + 27 = -3*o + x, 0 = o + 5*x + 25. Let a be (o\/4)\/((-3)\/6). Solve l = -n + 4, 3*p + a*n = 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 569*h**2 - 108*h - 1. Let y(z) = 570*z**2 - 90*z - 1. Calculate -5*r(a) + 6*y(a).\nAnswer: 575*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2595 is divided by 564.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 263, -2 in increasing order.\nAnswer: -5, -2, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -19 + 382 + -365.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13\/(b*((((b\/(b\/b**23))\/b)\/b)\/b)\/b)*((b*b**(5\/9))\/b*b)**1)**(-16) assuming b is positive.\nAnswer: b**(784\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597166, 596713, 596260, 595807, 595354, 594901?\nAnswer: 594448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 7*g**4\/6 + 9*g**2 - 19*g. Differentiate l(h) wrt h.\nAnswer: 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 553502 and 332609?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3571762.\nAnswer: 2, 23, 77647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 283.\nAnswer: -1\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = 10*c - 100. Suppose 3*p = 46*x - 44*x - 611, -c*x = p - 1187. List the prime factors of x.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000100 + -101?\nAnswer: 1110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20ff (base 16) to base 11.\nAnswer: 638a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7027691497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 8 - 34. Calculate the remainder when 101 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14 + 10*z + 14. Let x(y) = -7*y. Let n(u) = -5*k(u) - 7*x(u). Let p(o) = o**2. Calculate n(p(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/(-196))\/((-6)\/(-32)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.79 - -12667.6?\nAnswer: 12639.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1644 * 1604\nAnswer: -2636976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veee when four letters picked without replacement from {e: 4, v: 3, w: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 117. Suppose -d = -0*d - o. Suppose d = 2*i + i. Solve -5*n = g - i, g - 4*g + 29 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*n**3 + 116*m*n - m - 291*n**3 + 5*n**2 - 3*n - 4 wrt n?\nAnswer: -6*m*n - 1746*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 + -1205.08912749?\nAnswer: -1204.92912749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 + 2*y + 2. Let n(j) = 4*j**2 + 2*j + 3. Suppose 0*m = -2*m + 6. Let f(w) = m*a(w) - 2*n(w). Find u, given that f(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -45*v**2 + 2. Let p(k) = 6*k. What is p(y(f))?\nAnswer: -270*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**5)\/(x**3*x))\/((x**(-14\/5)\/x)\/(x*x**(3\/14))) assuming x is positive.\nAnswer: x**(491\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(30) - -6*sqrt(270))*-1*3)\/(2*sqrt(1440)*2*-6).\nAnswer: 19*sqrt(3)\/96 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4131 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.54, 5, 0, -35, -1\/9, 59 in descending order.\nAnswer: 59, 5, 0, -1\/9, -0.54, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8620794 and 17784?\nAnswer: 34483176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 96744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 2, i: 5, o: 10, x: 1}. Give prob of picking 2 i, 1 t, and 1 o.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 6*d**2 - 1\/40*d**6 - 1\/8*d**4 + 0*d + 0*d**3 + 0 + 1\/10*d**5. Let q(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + 3 + 12 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42077 - 42067. Solve 0 = -303*l + 305*l + w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10210200 (base 3) in base 4?\nAnswer: -223110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/9 - 400*u\/9 + 398\/9 = 0.\nAnswer: 1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*h + 38 = -2*z + 85*h, -2*h = -z - 20 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m + 283 - 107. Let b be -14 + (-3 - -6) + -3. Which is bigger: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 257, -21\/2, -10\/7?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*j, -1092*d + 5*j = -1084*d - 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 7*m + 80 = 0. Suppose -24 = 14*w - m. Solve -4*f - w = 0, f = -c + 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-2*5)\/sqrt(7).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 2*g**2 - g + 1. What are the prime factors of c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 11*w**2 + 7 + 6*w + 0 + 6 to the form o*w**2 + f*w + a and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 16964, 2, 17614?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from vbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 11:04 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1515*o**4 - 44*o**2 - 6*o**2 + 11*o**2 + 17*o - 15*o**2 wrt o?\nAnswer: -36360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwp when three letters picked without replacement from {p: 10, w: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 13*j - 37. Let u = 81 + -65. Suppose -3*q + 12 = -18. Calculate the lowest common multiple of y(u) and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016833 to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 - 80. Calculate the remainder when x is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u - 42 = -2*z, 3*u = 2*z - 33. Let o(q) = q**3 + 8*q**2 - 6*q + 7. What is o(u)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*f + 4*q, 3*f - q - 71 + 5 = 0. What is the remainder when 2 - ((3 - 90) + -1) is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 + 0.8. Let i be (-2)\/(-4)*(-16)\/(-10). What is the third smallest value in i, 6, w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**5 + 1984737*s**4 + 3969486*s**3 + 6*s**2 - 3969483*s - 1984743 = 0?\nAnswer: -1, 1, 661581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12475 = 8*v - 13*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217958248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:51 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -56*g + 6. Determine v(3).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 623 and -11.\nAnswer: -6853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrbrbr. What is prob of picking 3 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -7) + (4 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3290052?\nAnswer: 2, 3, 274171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -15, 2*v + 5*g - 3543 - 51664 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3092*r - 80518. Calculate o(25).\nAnswer: -3218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 280*i**2 - 3*i - 7. List the prime factors of a(2).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v - 8. Let q be a(16). Calculate the greatest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -2. Suppose -13 = -2*w + s. Suppose -21*u + 1601 - 1223 = 0. Calculate the least common multiple of w and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 30*d - 68. Let a be k(-2). Let v(n) = n. Let j(g) = -2*g**2 + 3*g. Suppose 2*l - 3*l = -1. What is a*v(b) + l*j(b)?\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5906*d**3 + 3*d + 5213*d**3 + 16073*d**3.\nAnswer: 15380*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*o + o. Let k be (-3)\/((-9)\/6)*o. Solve 4\/3*c**2 - 4\/3*c**k + 0 + 10\/3*c**3 + 0*c - 10\/3*c**5 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 90155 + 2084?\nAnswer: 92239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 3*o + 1. Let u(j) = -j**2 - 2*j + 21. Let m be u(0). Suppose m = -5*a - 24. Let h be -8 - a - 4\/1. Give t(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32953? (a) 0.5 (b) -1 (c) -3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**4\/6 - 11*z**3\/3 + 24*z**2 - 13*z - 1. Find n such that a(n) = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3 = -3*d, 7*c - d - 1 = 9*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(-4\/13)*f)*f*f)\/(f**(-8\/3)*f))\/(((f*(f**4\/f)\/f)\/f)\/f**(-2\/37)) assuming f is positive.\nAnswer: f**(4214\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**3 - 105*k**2 + 106*k - 77. Give c(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4987 - 2937. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5420 = -u - y + 5424, 2*u - 3*y + 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 6 = -76 - 38 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -2\/9 (c) 1\/19 (d) 36 (e) 3 (f) -0.024\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-12) - (-2)\/6. Let s = 19.2 + -19. Which is the closest to u? (a) s (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94539704?\nAnswer: 2, 7, 53, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2253215 (base 10) in base 14?\nAnswer: -4291dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 10 - 2. Suppose 3*l - t*l = -2. Suppose -8*m**l - 3*m + 5*m**2 + 0*m**2 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.0717 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -656\/27?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/17 - 55\/51. What is the nearest to -1\/16 in 5, d, -2\/11, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4*y**2 + 3 + (-3*y + y + 3*y)*(0*y - 2*y + 0*y))*(y**2 + 0*y**2 + 0*y**2) as m*y**2 + r*y**4 + j + o*y**3 + u*y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g - 94. Let n(u) = -16*u + 125. Let f(m) = 8*n(m) + 11*p(m). What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -11. Suppose -5*x - 4*g - 23 + 2 = 0, -3*x + p*g = -17. Calculate the remainder when 0 + x + 12\/3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2845*k + 5868. List the prime factors of g(19).\nAnswer: 31, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252150 and 22.\nAnswer: 2773650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 110 = -6*j. Suppose -j*a = -5*a - 1070. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2579 - 502904\/195. Suppose -3*p - 2 = -4*b - 5, 4*p - 4 = -b. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -11*a + 8. Let y(b) be the second derivative of -5*b**4\/12 - 2*b**3\/3 - 2*b**2 + b. Let j(q) = 14*q**2 + 11*q + 11. What is a*j(u) - 11*y(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 15, s: 3}. Give prob of picking 2 y.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 108 and 290.2.\nAnswer: 31341.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 34.91. Let o = j + 0.59. Let y = o + -0.4999973. What is y rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.98559ms in nanoseconds?\nAnswer: 99985590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 9 + -8 - (-1 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.9 and -161.\nAnswer: -168.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24820, 64, 29 in increasing order.\nAnswer: -24820, 29, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -114\/11, 0.1, 171?\nAnswer: -114\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + 25*b + 16. Let c be n(-8). Let s(k) be the first derivative of 1\/6*k**4 - 2\/3*k**3 + 8\/3*k + 0*k**2 + c. Find d, given that s(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3}. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b - 39*b + 0 + 0.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4439958, -8879924, -13319890, -17759856, -22199822?\n\"Answer: -4439966*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 393 divided by -393\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 49, 45, 41, 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340370930 and 1230?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 5 = -33. Solve 2*z - 22 = -5*k, 0*z = w*k - 5*z - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/15*-35 + 163339\/(-5797).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(sqrt(1573) + 1))**2.\nAnswer: 792*sqrt(13) + 56664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)*j**(2\/5))\/(j**(2\/13)*j**(-5)) assuming j is positive.\nAnswer: j**(1169\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -354, 6, -1, -3, -12, -2 in descending order.\nAnswer: 6, -1, -2, -3, -12, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 6. Let a = -123 - d. Let k(f) = 2*f + 2. Give k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/5)*y*(y**(-2\/27)\/y)\/y*y*y*y**(1\/12)*((y\/y**(-8))\/y)\/y)**(2\/17) assuming y is positive.\nAnswer: y**(4433\/4590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f*f**(1\/56)))*f*f**32\/f assuming f is positive.\nAnswer: f**(1849\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.6 and -105.\nAnswer: -96.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.021, 28, -1 in ascending order.\nAnswer: -1, -2\/11, -0.021, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 12) in base 7?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 152?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 53 = 38. Is u less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 178 - 25 - 9 = 0. Let r be (1 - -1)\/((-6)\/(-9)). Suppose 0 = 6*f - r*f - 63. What is the remainder when f is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*d + 12. Calculate the remainder when 164 is divided by d - (-3)\/(15\/25).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0 - 14. Let r = -49 + 105. Calculate the greatest common divisor of f and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 806827 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 + -185e?\nAnswer: -18a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 106878 = -9*x. Let l = x - 324944\/3. Let q = 1461 + l. Calculate the common denominator of q and 65\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(81)\/sqrt(144)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1980391 is divided by 1081.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.9, -1, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/(-10) + 2 - (-3)\/(-15). Suppose -2*r + 3*z + u = -11, 19 = 5*r - z. Differentiate r*f - 9*f - 4*f - 15 + 7*f wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + -7 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -172*g**4 - 16807 + 5*g - 2*g**2 + 16262 + 2*g**2 wrt g.\nAnswer: -688*g**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/282387 and 13?\nAnswer: 282387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -a2590 (base 12) in base 15?\nAnswer: -42a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 9*s + 8. Let a be r(-7). Let w(t) = -14*t - 44. Let c(g) = 5*g + 15. Let p(i) = 11*c(i) + 4*w(i). Calculate p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -15. Suppose 84 = -0*u + 3*u. Suppose 5*x - 5*k = 140, 0 = 3*x - 5*k - 66 - u. What is the remainder when x is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 259*i - 1334 + 10658 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-8) - (-1)\/4. Put -0.2, z, -3 in increasing order.\nAnswer: -3, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 6:17 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20863.3t in kilograms?\nAnswer: 20863300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21330987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204197157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77)*1*5 - 2*sqrt(77)*2))\/((sqrt(84)\/sqrt(4))\/sqrt(3) - (sqrt(7) + (-2*sqrt(112) - sqrt(112)))).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.031 + 0.031. Is 0.036 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - 19. Let g = -191 + 213. What is the remainder when b is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + (-2 - (-1 + -7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210121201 - -1202200?\nAnswer: -201212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1304, 2613, 3944, 5309, 6720, 8189?\n\"Answer: 2*g**3 - g**2 + 1298*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 + 6*x**2 - 4*x - 3. Let p(q) = -2*q**3 - 6*q**2 + 5*q + 4. What is 2*p(v) + 3*u(v)?\nAnswer: 5*v**3 + 6*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 15*r + 19. Let h be x(-16). Suppose -2*s - h*s + 210 = 0. Let g = 45 - s. Solve 2 = -4*o + 3*a + g, 2*o + 4*a = 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 210*i**4 + 18*i**3 - 20*i**3 - 3*i - 1 - 336*i**4 in the form l + o*i + d*i**2 + f*i**4 + q*i**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) - 92\/28 - -186. Let z = -105 + c. What is the greatest common factor of 117 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -378, -634, -1126, -1932, -3130, -4798?\nAnswer: -7014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 18*k + 19. Give q(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 4:05 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -1\/4 (c) 4\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*t + 3. Let d be (6\/(-10))\/(t\/60). Solve 5*c + 13 = -y - 3, -3*y = 3*c + d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2096.4 + -2095.9. Which is the fourth smallest value? (a) k (b) 34 (c) -3 (d) 2 (e) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 + 1 - h**3 + 14*h - 27*h - 4*h**2 to the form r*h**3 + j*h + d*h**2 + t and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -48440 (base 10) in base 2?\nAnswer: -1011110100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1668004040 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 16. Let v be y(7). Let m = v + 2. Let n = 91 - m. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58c1 (base 14) to base 6\nAnswer: 155321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*((-217)\/(-62))\/((-1)\/34) is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 - -0.09. Let q = 1.9 - j. Let y(u) = -u**2 + 8*u + 11. Let o be y(9). What is the closest to q in -3\/4, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-3*((-32)\/24 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 + 6*n**2 + 0*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + 0.47. Let p = f - 4.4. Which is the second smallest value? (a) p (b) -2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 - 2141206*a - 1146190783609 = 0.\nAnswer: -1070603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-4433)*-36 + 2\/(-31).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155635968 take away 234?\nAnswer: -233.9844364032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 9*c + 32. Let f be g(11). Let b be 2\/(-6)*-12*87\/2. Suppose 10 = -5*n, -3*j = -4*n - 164 - b. What is the greatest common divisor of j and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 232\/9 + -26. Suppose -8*f - 78 = -5*f. Let z be 1\/(-26)*-22 - f\/169. Which is the closest to 0.1? (a) -1\/2 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -163901*j + 655611. Give x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37 - 5\/(5\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 minus 0.1?\nAnswer: 576.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2004206*o**3 + 1002103*o**3 - 94 + 1002102*o**3.\nAnswer: -o**3 - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1621320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 6:14 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1035 and 68894223?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + 1197505422.\nAnswer: 1197505422.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 - 2*g**4 - 3*g**4)*(-15*g + g + 625 - 637).\nAnswer: 28*g**5 + 24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1289 + -816. What is the common denominator of 31\/18 and o\/132 + 4*-1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3221 (base 4) to base 16.\nAnswer: -e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 424 - -6788. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-11)*i**(-10\/9)\/i*i assuming i is positive.\nAnswer: i**(-91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**8\/z)))\/(z**7\/z*z))**17 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*3)\/sqrt(6))\/((1*sqrt(42))\/sqrt(6)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 9*m**2 + 6*m - 6. Let b(g) = -8*g**2 - 5*g + 5. Let n(r) = -6*b(r) - 5*o(r). Let a = 18 - 8. Let h(c) = -10 + a - c. Give n(h(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12.3. Which is the smallest value? (a) -5 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**4 + 89*b**3 - 89*b**3)*(-4*b - 1 + 0 + 2*b).\nAnswer: -12*b**5 - 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1411 (b) 34\/7 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0 + 0)*(-706*w + 706*w + 18*w**2)*(-19 + 19 + w).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + (-1 + -1 - -7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:45 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.2 + 1.8. Let s = -6 + p. Which is the nearest to 0.1? (a) s (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i**3 + 25*i**2 - 14*i - 36. Calculate r(-5).\nAnswer: -1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h - 3196626359 + 818316359 = 0. Round h to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*d - 3*h, 3*d + 34 = -4*h + 87 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31633?\nAnswer: 7, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 13) in base 12?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:13 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41370815 to the power of 1\/2, to the nearest integer?\nAnswer: 6432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7178 or 7180?\nAnswer: 7178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 6, n: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -324 - -318. Let x be ((-9)\/(-99))\/((-3)\/195). Which is greater: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*a + 451*a**3 + 344*a.\nAnswer: 451*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 3 + (sqrt(11) - (1*sqrt(22)\/sqrt(2) + sqrt(11))))**2.\nAnswer: -6*sqrt(11) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10953 + 708?\nAnswer: -10247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 6*k**2 - 5*k - 6. Let h be q(7). Suppose 0 = 11*j - h*j - 6. Suppose 4*m - 90 = -5*a, -72 = -a - 3*a - j*m. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 3)*(-4*d**3 + d**3 + 4*d**3) + 0*d**3 + 4*d**3 - 5*d**3 - 2*d**3 + 2*d**3 + d**3 + (-d**3 - 4*d**2 + 4*d**2)*(1 + 1 + 0) - 1 + 1 - d**3.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37836807\/32 - 1182278. Let q = i - 971\/8. Find the common denominator of 2\/(16\/73) - 0 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 54*b - 8. Let y(u) = 217*u - 11. Let n(x) = -579*x + 29. Let r(f) = 3*n(f) + 8*y(f). Calculate a(d) - 8*r(d).\nAnswer: 62*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6934690 or 6934712?\nAnswer: 6934690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 821713359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13302, -26586, -39870, -53154?\nAnswer: -66438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -20. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22330 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7 - 119*s**2 + 30*s**2 + 10.\nAnswer: -89*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18095 divided by 2585\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812*b - 842*b + 36600 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 9 - (2 + -1 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.4 + 9. Let g be (-9)\/(-95) - (-18)\/171. What is the third biggest value in t, -0.2, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/183200 and 101\/666848.\nAnswer: 16671200","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put 1596, -4, 38 in decreasing order.\nAnswer: 1596, 38, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.675 times -0.4?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9534.6421927 - -9538.7422. Let d = -0.006 - -4.106. Let k = o - d. Round k to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*t + 114, -5*i - 733*t + 61 = -736*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*k - 0. Let a be (-1 - -3)*k\/(-14). Let v = 4 - 5. Is v less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 8*x**2 - 6. Let r be u(8). Let i = -0.7 + 0.8. Put r, -0.3, i in ascending order.\nAnswer: r, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 699 - 679. What are the prime factors of 75\/(-5)*-6*r\/6?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304930 and 2318.\nAnswer: 353413870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13547?\nAnswer: 19, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 0.3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 885156.6 months to centuries.\nAnswer: 737.6305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -1\/6*v**3 + 0*v**5 + 0*v + 0*v**4 + 0 + 1\/40*v**6 + 2*v**2. Find the first derivative of a(b) wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, f: 12, n: 3}. What is prob of picking 4 f?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25205 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2974922.\nAnswer: 2, 1487461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 357 = 23*b. Calculate the remainder when b is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.042 + -36. Let g = -0.042 + b. What is the nearest to 0 in -3, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 25. Let k = -5187 - -5188. Which is the second smallest value? (a) k (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(-2\/7))**(-16\/3)\/(((g\/(g\/(g\/(g*g**(2\/15)\/g*g*g))))\/g)\/g**9*g**6*g\/((g\/((g**1*g)\/g))\/g)) assuming g is positive.\nAnswer: g**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6\/5. Let k(b) = b**2 - 16*b + 30. Let z be k(14). Factor -r*t**z + 0*t + 0.\nAnswer: -t**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1133\/8 (b) 26 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5755 divided by -1151?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-33))\/u)\/(u\/u**(14\/3))*(u*u**(-26)*u)**(4\/7) assuming u is positive.\nAnswer: u**(482\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p**3 - 3*p**2 + 1. Let v(x) = -x**3 - x**2 + 1. Let z(m) = -g(m) + 3*v(m). Differentiate z(k) wrt k.\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1095898 rounded to 3 dps?\nAnswer: 26.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -o - r + 22, 0 = -2*o - r. Suppose -w = 5*u + 52 + 13, 0 = o*u - 3*w + 43. Is 3 a factor of (6\/(-3))\/(4\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - -1)*(5 + 44\/(-8)). Suppose -2*m - 82 = -2*u, -a*m - 95 = -3*u + 24. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 8. What is the lowest common multiple of 5 and (-22)\/(-4) + (-3)\/o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -5, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8685 + 1536?\nAnswer: -7148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120790 + 750227. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 106 + 5?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -26*z + 1537. Let p(r) = -2*r - 5. Let g(k) = -d(k) + 2*p(k). Differentiate g(a) wrt a.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 104428659\nAnswer: -2088573.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 + f**2 - f + 13. Let r be ((-45)\/20)\/((-12)\/(-64)). Let l = r + 12. List the prime factors of n(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.4 + 21.1. Let s = 12 - l. Which is the nearest to 1\/3? (a) -1 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q = -62*q - 60 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56636 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 19*g**5\/5 - 37*g + 2. Find the first derivative of o(d) wrt d.\nAnswer: 76*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -4*s**3\/3 - 22*s**2 - 40*s - 145. Factor l(t).\nAnswer: -4*(t + 1)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 54. Factor -d + 2*h**5 + 4*h**2 + 6*h + 3*h**3 - 6*h**3 - 5*h**3.\nAnswer: 2*(h - 1)**3*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 8321460?\nAnswer: 24964380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8624 or 8621?\nAnswer: 8624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 95883.0888 rounded to the nearest one hundred?\nAnswer: 95900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10066236?\nAnswer: 2, 3, 838853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 253\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -24 - 6. Let v(i) = -i**3 - 7*i**2 - 9*i - 2. What is the tens digit of v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144053255.\nAnswer: 5, 23, 457, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1529*t - 1523*t - 5124 = 0. What are the prime factors of t?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b6 - 939?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*i + 4*x, 20 = -3*x - 2*x. Let c = i + 6. What is the greatest common factor of c and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328 divided by -2352\nAnswer: 41\/294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31258 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 + 108.108. Let g = t + -5.108. Sort 0.07, g, 1, -3\/4 in ascending order.\nAnswer: g, -3\/4, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*w + 9*q - 4*q, -4*w + 5*q + 9 = 0. Let j = 90 - 21. Let p = -64 + j. What is the smallest value in p, w, 8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -37. Let n(x) = x + 1. Let p(s) = -10*s - 12. Suppose v + t + 3 = 0, v + 2*t = 5*v. Determine d*n(j) + v*p(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 875\/10*(-420)\/1050?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/531 and -23\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0253443974 to six dps.\nAnswer: -0.025344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1437 - -1.8563. Put -4, t, -0.052 in increasing order.\nAnswer: -4, -0.052, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(-2 + sqrt(147))**2 - (-1*1*sqrt(147))**2*3.\nAnswer: -594 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -2*u**5\/5 - u**4 + 8*u**3 - 14*u**2 + 10*u + 33. Factor d(w).\nAnswer: -2*(w - 1)**3*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 56?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7 and -87.1298966438.\nAnswer: -86.4298966438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -1\/9*v**2 + 0 - 26\/9*v = 0?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4866862 and 4862.\nAnswer: 4866862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 6*v - 3. Suppose 2*b = -3*b + 20. Suppose -5*m + 4*m = -b. Let f be w(m). Solve 0 = r - 4, f*r - 32 = 8*x - 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 + t + 862. Let g be l(0). Let v be g\/(-2 + (-2 - -6)). Let j = -208 + v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -32*m**2 + 5*m + 9. Give c(-2).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)*0\/(-13). Let d(u) = -u**2 + 60. Is 6 a factor of d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 18*j - 6 + 2*j**2 + 4*j**2 + 16*j + 2*j**3. Let m be t(-6). Let w(i) = 2 + 4 - 24*i**2 - m. Let n(r) = 4*r. Give n(w(a)).\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c + 2*c)*(-2 + 2 + 2*c) + c**2 - 4*c + 4*c + 3*c**2 - 2*c**2 - 3*c**2 + (-5*c + 4*c + 3*c)*(2*c + 2*c - 5*c) - 4*c**2 + 8*c**2 - c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1308*u + 2405. Let r(k) = -654*k + 1206. Let h(d) = -9*r(d) + 4*t(d). Find the first derivative of h(v) wrt v.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 2*s**2 + s - 1. Let j be 5*(85\/75 + (-4)\/12). Let g(t) = -2*t**3 + 5*t**2 + 3*t - 1. Calculate j*g(a) - 9*m(a).\nAnswer: a**3 + 2*a**2 + 3*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2ceb (base 16) to base 7\nAnswer: 45345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**6 - 39*m**4 + 452*m**2.\nAnswer: -120*m**3 - 936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 2. Let s(t) = -t**2 - 6*t + 4. Let n be s(-7). Which is the closest to 0? (a) n (b) m (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {x: 1, q: 1, p: 2, f: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19869, 19857, 19845, 19833, 19821, 19809?\nAnswer: 19797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(220))\/sqrt(11).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -83, 3, -0.3?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -391395010 to the nearest 100000.\nAnswer: -391400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*-6*(-2)\/540?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37099017.\nAnswer: 3, 101, 40813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32472 - 32322. Is 75 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/198)\/((-16)\/(-6))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4573.\nAnswer: 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1141 + -668. What are the prime factors of h?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = 5. Let a be (17\/(-4) - i)*-4. Let w(p) = p**2 - 8*p + 11. Let k be w(a). Calculate the highest common factor of 180 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 168 = 11*z. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 263b - -4?\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/36 + -5)\/(149\/(-10728)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.037529?\nAnswer: 0.037529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 11*o**2 + 12*o - 20. Calculate the remainder when g(-9) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -675, -2, -1 in descending order.\nAnswer: 34, -1, -2, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -350 - -5?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(4 + 0 - 2)*((1 + 3 - 5)*(2*f - 3*f + 3*f) - 5*f + 2*f + f - 2*f - 2*f + 5*f + 59*f - 40*f - 580*f) to k + q*f and give q.\nAnswer: 2256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 195705*t**3 + 10568080*t**2 + 540*t.\nAnswer: 5*t*(t + 54)*(39141*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 - 2084 + p**3 - 347 + 66 + 4*p**3.\nAnswer: -p**3 - 2365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.00043 - 0.005342. Round m to four decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 11. Determine p(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 31 - 43 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33d9 (base 15) to base 6\nAnswer: 122540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 + p + 4. Let v(h) = -h**3 + h**2 + 3*h - 5. Let n(r) = -2*s(r) - v(r). Suppose -5*g - 15 + 0 = 0. Calculate n(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 30*x - 162. Is 33 a factor of z(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*p**3 + 107854*p**2 - 21114009*p wrt p.\nAnswer: -912*p + 215708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2800 - 1985. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74819430 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1458060 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64626 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 16.3?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*d + 22 = -0*d, 22 = -o + 4*d. Which is smaller: o or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 51*i + 11. Suppose -6*s = -4*s - 8. Let o be v(s). What are the prime factors of o\/7 - 2\/(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -363*l**2 + 465*l**2 + 2 + 8699*l**3 + 794*l**2 + 457*l**2 wrt l?\nAnswer: 52194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 1. Let n(m) = -5 - 2*m**2 - m**2 - o*m + m**3 - m**2. Is n(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let d = 78181345 - 78181346.99999997. Let n = m + d. What is n rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 3487 = 10*a + 3*z, -a + 1754 = -2*z. What is the second derivative of -236*n**2 + 1638*n - 3596*n + a*n wrt n?\nAnswer: -472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 11 (c) 0 (d) -3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29\/3, 0, 1\/5, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/14)\/(i**(-1\/5)*i))\/(i**(4\/7)\/((i\/(i**(-4\/7)*i))\/i))*(i\/(i*i**(-1)*i*i))**(1\/52)*i*i**(2\/3)*i*i**5 assuming i is positive.\nAnswer: i**(32317\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45910 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*i = 1459 - 4244, -2770 = -3*x + 2*i. What is the smallest common multiple of 140 and x?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3 - 1093*v**2 - 48162*v = 0.\nAnswer: -1047, -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*b + 1271 - 189 = -63*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-7))\/((-2)\/(-28)). Let z(q) = -17*q - 2 + d*q**2 + 2*q**2 - 3*q**2 + 11. Is z(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 1)\/10 + (-10)\/(-50). Suppose -6*p + p = l. Suppose 3*v - 7*v + 16 = p, -108 = -2*n - 5*v. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002654807 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 379?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(3 - 3 - q**2) + (2*q - q - 2*q)*(-3*q + q + 0*q) - 779734 - 22*q - 22*q - 4*q**2 + 779727.\nAnswer: -q**2 - 44*q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 30*j**2 + 7 + 31*j**2 - 11*j - 14*j**2. Let u be f(7). Suppose -7*k + u = 4*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1352 (base 6) to base 12.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 99416.8*-0.1\nAnswer: -9941.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Suppose -o - 14 = -2*o - 3*g, c*g - 10 = 3*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7181, 9830, 12489, 15164, 17861, 20586, 23345?\nAnswer: 26144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 6*z = 3*b + 147, -5*z + 4*b = -371 + 397 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 - 3)*(k + 0*k + 0*k) - 3*k + 11*k - 2*k)*(-9 + 1 - 2)*(2 - 2 - k) in the form j + v*k**2 + z*k and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87.3 + 87. Put -0.4, 4\/7, l, 2\/9 in increasing order.\nAnswer: -0.4, l, 2\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1373*f - 50047 = 189*f + 1522*f + 94901 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59*x + 5*x - 58*x - 4)*(-6 + 5 + 3)*(4*x + 0*x - 2*x) as n*x + f + i*x**2 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 3*y + 30, -4*d = -y - 26. Solve 4 + d = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 89 - 11 = 18*r - m, 14*m = -3*r - 9*r - 156 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 103 = -2. Let b = d - 15. Solve b*m - 5*m = -20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23*(-32)\/(-3312))\/((-2)\/144)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552 = -7*q + q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (17 - -8 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 14*l**2 + 1 - 12*l**2)*(-5*l**2 - l**2 + 4*l**2).\nAnswer: -4*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2081 - k - 1868 + 3976.\nAnswer: -k + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 161231b0?\nAnswer: 161231ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, j: 8}. Give prob of picking 3 j and 1 s.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35435 - 7443 + 47473 = 1677*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-2)*1893*-4. Suppose -2*q = -3*b - 212012, -3*q - f = -4*q + 2*b. What is q rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1019 and -436 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 154.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 755, 2969, 6657, 11819, 18455, 26565?\n\"Answer: 737*d**2 + 3*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 5*m + 7. Let j be a(-6). Let c be -3 - (-147)\/29 - 2. Let z = -19\/145 - c. Sort z, j, 0.5.\nAnswer: z, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 19*y**2 + y + 1. Let z be a(1). Solve 0 = m + 5*c + z, -4*m - 14 = 4*c + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 325 + 117841?\nAnswer: 118166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + t - 7. Let b be r(-3). Let l = 117 + b. Suppose l = 3*x - 37. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 5*c**2\/2 - 6*c + 2. Let d(w) = w - 1. Determine 4*d(f) - p(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.388060577 - 1.74?\nAnswer: 2.648060577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 4*z + 30 - 70 + 38 - 2*z**4 to i*z**3 + s*z + k + q*z**2 + h*z**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddkadkdadaadhhkd. What is prob of sequence hdah?\nAnswer: 2\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 5*z + 6*z)*(2*z + 0*z + 0*z)*(0*z - z + 0*z)*(-20*z**2 + 30*z**2 + 40*z**2).\nAnswer: -1100*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -2*o + 14*g, 0 = 5*o + 10*g - 8*g + 7. Sort 0, 3, -1, o, 15.\nAnswer: o, -1, 0, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/2 and 11\/(-18) + (-10)\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2123.01724 - 2123. What is g rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d + 10*d + 0*d + 171831 = 0. List the prime factors of d.\nAnswer: 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1604554, 1604556, 1604558, 1604560, 1604562?\nAnswer: 1604564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = 22. Let c = -9 - r. What is the nearest to 0 in c, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726831.56 rounded to the nearest 10000?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8189?\nAnswer: 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/16 + (-19881752)\/(-352).\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 278, -0.3 in decreasing order.\nAnswer: 278, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 476 and 0.04.\nAnswer: 19.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052059?\nAnswer: 269, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67113.11 centuries in millennia?\nAnswer: 6711.311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*l - 38 = -4*c, 10 = -2*l. Let o be (c - 8) + (-1 - -11). What is the common denominator of -1 + -2 + (-165)\/o and -5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9988.15997 to the nearest 10.\nAnswer: -9990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -2 + 3\/5*j + 3\/5*j**4 + 6\/5*j**2 + 6\/5*j**3 + 3\/25*j**5. What is g in k(g) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17347 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -866*k. Let x(o) = 2*o**2 - 85928. Calculate x(h(a)).\nAnswer: 1499912*a**2 - 85928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -1, -5, 0.1, 2, 761, -2\/3 in decreasing order.\nAnswer: 761, 26, 2, 0.1, -2\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*k**2 - 11*k**3 + 21*k**3 - 9*k**3 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 1 b when three letters picked without replacement from {l: 1, b: 1, t: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/126 and 59\/6650.\nAnswer: 59850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from edhhhhe?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219611*v - 221127*v - 65188 = 0 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8912101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11 = 15. Let m = 32 + f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(30)\/sqrt(6) + -5).\nAnswer: -4*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**4))\/(r\/(r*r**(-6\/25)))*(r\/(r\/(((r*(r\/(r\/r**0)*r)\/r)\/r)\/r)))**(-1\/2))**(-3\/31) assuming r is positive.\nAnswer: r**(-639\/1550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4445 - 3355 = -6*t. Let h = 2029 - t. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.43 + 0.57. Let f(c) = c**3 + 5*c**2 + 4*c - 9. Let g be f(-3). Let x be ((-3)\/(9\/(-2)))\/(95\/g). Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 11:49 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519.213 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 443 - -61?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 62526222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2234, -1\/4, -2.9, -6 in decreasing order.\nAnswer: 2234, -1\/4, -2.9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 2309?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187c79 (base 14) to base 9.\nAnswer: -1561042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 x, and 1 h when four letters picked without replacement from ooxrxhxzxrocxcrorx.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + q + q + (q - 3*q - 5*q)*(0 - 1 - 1) - 2*q + 3*q + 0*q.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 39 = -7*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 divided by 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 2*v**5 + v**4)*(-2 - 1 + 1) + 234*v**5 - 63*v**4 - 237*v**5 + 275*v**4.\nAnswer: -7*v**5 + 212*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p + 57 + 105 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 3*d + 4. Let y be k(0). Let x be (0 - -1)\/(-4 - 18\/12). Let l = -2 - -2.5. What is the third biggest value in x, y, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-9 - (-32 + 7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**5*n**(3\/5)\/n)**25\/(n**(5\/3)\/(n**7\/n)*(n**(3\/11)*n)\/n*n**(-7)) assuming n is positive.\nAnswer: n**(4985\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.033 + 2.967. Let r = k - 8. Suppose -10 = -4*l - 2. Which is the closest to l? (a) r (b) -1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339732 to the power of 1\/2, to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:00 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 4*n**2. Let p(b) = 2*b**3 + 23*b**2 + 13*b - 10. Let u(h) = -p(h) + 3*q(h). Calculate u(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 4 - (35 - (38 - 12)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 6 (c) 6728\/365 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 8*a**2 - 6*a - 8. Suppose -132 - 66 = 22*y. What is k(y)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhnnnhhhh. What is prob of picking 1 h and 1 n?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46008426 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23285 minus -175?\nAnswer: 23460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -24*h. Let r(v) = 65*v. Calculate r(u(p)).\nAnswer: -1560*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.3, 0, 0.3, -9\/7, 0.03.\nAnswer: -9\/7, -3\/5, -0.3, 0, 0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 0*t**3 + 0*t**2 + t + 0 + 1\/3*t**4. Factor x(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiyiiiiyiiyyiyiii. What is prob of picking 2 y?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225 = -160*a - 15*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 9. Let n(g) be the first derivative of g**2 - 13*g + 713. Calculate v(n(f)).\nAnswer: 4*f - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:25 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**(-27\/4)\/(((q*q**0*q*q)\/q)\/q*q**(-1\/14)) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1513\/3382*108\/459.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5\/8 - 63*a**4\/4 + 5551*a**3\/8 + 1370*a**2 - 141000*a - 800000 = 0.\nAnswer: -160, -8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -63*y**5\/20 + y**4\/6 - 12*y**3 - 8*y - 3. Find the third derivative of j(m) wrt m.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 186 - 974. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 615*f + 2. Let z(x) = -34*x**2. Calculate z(c(r)).\nAnswer: -12859650*r**2 - 83640*r - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -494.416 take away 6192948?\nAnswer: -6193442.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-240)\/(-45)*(-3)\/(-2). Let j(x) = -x**3 + 9*x**2 - 8*x + 8. Give j(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*4\/(-14) + -2. Which is the third biggest value? (a) 0.22 (b) -2\/9 (c) -4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1852005, 3703990, 5555975?\n\"Answer: 1851985*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 783 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w**2 + 47 + 43 + 54*w - 38. Let j(s) = s**3 - 61*s**2 - 162*s - 155. Let v(q) = -4*j(q) - 14*x(q). Factor v(d).\nAnswer: -4*(d + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 8*o**2 + o + 9. Determine h(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/(-6) - (-6)\/(-2). Let a = 0 + 3. Suppose 5*h + 10 = 0, 0*j - j = a*h - 36. Calculate the greatest common factor of u and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, r: 3, t: 1, w: 4, d: 1, k: 5}. What is prob of picking 3 k and 1 r?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/75*30\/(-3)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1226, -4104, -8820, -15362, -23718, -33876, -45824, -59550?\n\"Answer: 2*j**3 - 931*j**2 - 99*j - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -5. Let l = -0.07 - 5.93. Let n = -1 - l. Which is the second smallest value? (a) n (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mwwwwmwwmmwmwwww.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -2*n**6\/15 - 2*n**5\/5 + n**4\/3 + 4*n**3\/3 - 91*n. Factor l(a).\nAnswer: -4*a*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0634546972 to 3 dps.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/(2\/(28 - -4)). Let m(z) = -2*z**2 + 18*z - 11. Let s be m(o). Suppose s*t = -5*n + 100, t - 2 = -4*n + 72. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27\/17705 + 566479\/53115. Let j = 61\/5 + -143\/15. Determine u so that j + b*u + 14\/3*u**2 = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**3*z - q**3 - 2*q*z - 81*q + 77*z - 184 wrt q.\nAnswer: -6*q**2*z - 3*q**2 - 2*z - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1034 + -1057 - (-1 + (-2 - 1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0.24, 4, 0.15, 3, -0.1.\nAnswer: -3, -0.1, 0.15, 0.24, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1029375, -0.6, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(3) - sqrt(432)*-1)*-6)\/(4*sqrt(294)*2 + (sqrt(294) - (sqrt(294) - (2*sqrt(294) - sqrt(294))))*-4).\nAnswer: -3*sqrt(3)\/182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240324 - -3?\nAnswer: 240332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -74*p**3 - p - 1. Let t be l(-1). Let z = -291\/4 + t. Factor -z*h**2 + 2*h + 1.\nAnswer: -(h - 2)*(5*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 205?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020831289?\nAnswer: 17299, 59011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1438 + 1446. Solve -k*m - m = 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 1. Let l = 7 + s. Suppose -3*v = -l*w + v + 34, 2*w - v - 16 = 0. Solve -2*m - w - 9 = -5*f, 4*m + 11 = f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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 be 74\/35 + (-2)\/1. Let g = f - -2\/7. Which is bigger: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*z + 54, -2*x + 67*z + 18 = 66*z. Let b(i) be the first derivative of -i**4\/4 + 11*i**3\/3 - 5*i**2 + 3*i - 2. Calculate b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103, -130, -167, -208, -247?\n\"Answer: j**3 - 11*j**2 - j - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201120222 (base 3) to base 5.\nAnswer: -2041330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2. Let c(q) be the second derivative of q**6\/120 - 23*q**4\/12 - 15*q. Let m(f) be the third derivative of c(f). Determine v(m(w)).\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 24*x + 16. Is f(-12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084439896?\nAnswer: 2, 19, 673, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/((-1)\/3). Let n = q - -3. Solve y = 5, 4*u - n*y + 8 = 2*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let c = 2845 + -2842. Let y(t) be the first derivative of 0*t + 0*t**2 - 10 + 23\/3*t**c. What is o(y(a))?\nAnswer: 46*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2057) + -1)**2 + 0 + ((sqrt(2057) + -1)**2 - sqrt(2057)) + 0)*-6.\nAnswer: -24666 + 330*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (132\/16)\/(12\/128)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226423, -452787, -679151, -905515, -1131879, -1358243?\nAnswer: -1584607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (8 + 5 + -15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - -2. Let l = r + -28.48. Let u = l + 0.87. What is u rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**2 - 12*i - 11. Calculate the remainder when 117 is divided by f(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b**2 + 44*b - 4. Let s(l) = -7*l**2 + 46*l - 3. Determine -2*m(z) + 3*s(z).\nAnswer: -5*z**2 + 50*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*137.\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 2*n - 4*n)*(-6*n + 18*n - 24*n)*(-4*n + 2*n + n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of (56 - 40)*(1166\/8 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2395 (base 10) to base 12.\nAnswer: -1477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37428183 and 14625.\nAnswer: 4678522875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5216 in -3, -6\/11, -4, -43?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*k - 0*f + 1, 3*k - 4*f - 5 = 0. Let g be 45 + k\/(0 - 3\/9). Suppose -328 - g = -4*t. List the prime factors of t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*s - 104. Suppose 5*k + 6 = t, -2 = -t + k - 4. Let g be ((-2)\/6)\/(t\/(-60))*-1. What is the greatest common divisor of g and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 3, -2\/2847, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 10*y**2 + 2*y + 5. Is p(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 19 = -12*g. Solve -3 - 9 = -4*z + 4*o, 0 = -g*z + 5*o + 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 702.5663 kilograms to tonnes.\nAnswer: 0.7025663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - 1*sqrt(228))*4*-1*2)\/((sqrt(432) + (6*(sqrt(432) + -3*sqrt(432)) - sqrt(432)))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*t = -188*t - 69876. Round t to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -72, -122, -190, -276, -380?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-1102) + 462\/29.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 2. Let x be o(5). Let d = -11 + x. Suppose -8 = 2*i - 6. Which is the nearest to i? (a) -5 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/5))**(2\/41))**48 assuming v is positive.\nAnswer: v**(672\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 337*h**2 + 1022*h - 6700. Calculate z(334).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 149 greater than 1334\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3 bigger than 12.661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 7*n - 2. Is (2*(-1)\/n)\/(23\/16882) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8861.\nAnswer: 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 5:04 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-2)\/60)\/((-877)\/(-254330))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173.0162 + -173. Round k to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 != -217\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dov when three letters picked without replacement from {m: 2, d: 4, v: 3, o: 3, u: 2, k: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -1\/13, -1, 0.06, 2\/3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4\/3 + 5456680*i**3\/3 - 661626687150*i**2 + 240598537196966000*i\/3 + 19019674765574624375\/3.\nAnswer: -5*(i - 363805)**3*(i + 79)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 1 - 3*n - 5*n - 7. Determine o(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 31\/56*u**8 + 0*u**5 + 0*u**3 + 0*u**6 - 31*u - 9\/4*u**4 + 0*u**7 + 0*u**2 + 0. Find the third derivative of h(n) wrt n.\nAnswer: 3720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.532097ml in litres?\nAnswer: 0.004532097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -516 (b) -21 (c) 2068\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -o + 4*d, -2*o + 4*d - 14 = 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) - (-83 - -3). Suppose 0*z - 4*s - 32 = -4*z, -3*s - 32 = -5*z. Does 30 divide (0 - -3)\/(z\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3648)*2*5)\/(6*((sqrt(363) + sqrt(363) + sqrt(363)*3)*2 + sqrt(363))).\nAnswer: -40*sqrt(19)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87\/15 + (-3)\/(-15). Let s = n - 6. Is s > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**3 - 142560*y**2 + 142525*y + 855330 = 0.\nAnswer: -2, 3, 28511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 10490\/53623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/110*(-10)\/4. Let v be (-6)\/(-15) - 3\/(-5). Is x less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*y + 6*y + 3*z, 2*y + 2*z - 20 = 0. Let f be 6\/(-15) + 87\/y. Let p = f - -3. Solve a = -3*j - p, a - 10 = j + 2*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33412?\nAnswer: 2, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = -21. Suppose -2*j + 12 = -4*p - 6*j, -4*p = -3*j - 23. Suppose -h = -p*a - 19, -r*a + a - 123 = -5*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 7\/30*z**4 - 1 - 2\/5*z**2 + 1\/15*z**3 - 3\/25*z**5 - z. Let y(m) be the first derivative of r(m). Solve y(g) = 0 for g.\nAnswer: -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -1\/18, 4, -1 in descending order.\nAnswer: 4, 4\/3, -1\/18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169 - 164. Solve 5*h - n = -24, -8 = u*h - 4*h - n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllbllbblllllllbllb. Give prob of picking 1 b and 1 l.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1929*y - 35861 - 34094 - 46788 = 49151 for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18807 (base 9) to base 7\nAnswer: 53020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -1031508731480.\nAnswer: -1031508731480.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1357 + 827 = -46*p - 122*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 17 + 11. Factor -1\/4*f**x - 1\/4 + 1\/2*f.\nAnswer: -(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -17365\nAnswer: -34730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 18*c + 2348 = 15*r, 920 = 2*r - 4*c. Is 445 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1281 = 46*v + 1663. Let z = -2013\/5 + 15799\/40. Find the common denominator of z and (78\/4)\/(v + 52).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-588)\/(-8) - 1\/2. Let b(c) = 32 - q*c - 20 + 9. Is b(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*w + 19716 = 0, -2*c - 4*w = -6*w - 13160. Suppose -c = -7*o - g, -5*o + o + g = -3764. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/5 - 1758*m\/5 - 257547\/5 = 0.\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 654135996 divided by -12?\nAnswer: -54511333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-8 + 5) - (1 + -16 + -4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*j**2 - 19*j**2 - 4 - 16*j**2.\nAnswer: 4*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 236*d**2 + 4*d - 236.\nAnswer: -4*(d - 59)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14150 and 14825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -101141.9861 rounded to the nearest 100?\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + 4*-1*sqrt(108)) + -2*sqrt(108)*-1*1*6)**2*5.\nAnswer: 33600*sqrt(3) + 425360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28760 - 28757. Solve w*p - 172*f = -167*f + 9, 5*f + 3 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 53*m**6 - 303*m**2\/2 + 235. What is the second derivative of a(x) wrt x?\nAnswer: 6360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2802046617?\nAnswer: 3, 311338513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.74 + 8.6274. Let k = u - -0.139. Round k to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 72\/20*30\/9. Let h = 28 - c. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5718237 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 946, -4, 22.\nAnswer: -4, 4, 22, 946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5616000 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 21 = -139. Suppose 0 = -4*k + b, -5*g - k + 30 = -3*k. Suppose 2*j - 6*w + 3*w + 6 = 0, 4*w = 4*j + g. Solve -2*v - 2 - 6 = j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8214533 millimeters?\nAnswer: 0.0008214533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3008 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 9*t + 1)*(-6*t**2 + t**2 + t**2) as n + z*t**3 + a*t + g*t**2 and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12 (b) 14 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 5*b - 12 - 8, -4*b = 3*p - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 236*f**2 + 600*f - 23067. Determine w(-233).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k - 6*k + k)*(-2 - 5 + 5).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - -47) + (1 + -15 - (2984 - 3003)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 14) to base 10.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/37721 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 - 3*m**2 - 2*m - 3. Let d be f(-4). Let p = -46 + d. What are the prime factors of p?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 911443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 4\/5 (c) -12 (d) -5 (e) -0.047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 5. Let i = 0.7 - -5.3. What is the closest to 2\/7 in i, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3864 - -4?\nAnswer: -3860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(2\/7)*u)*(u**(3\/7)\/u)\/u*(u*u*u*u**(1\/10))\/u**(-1\/6))\/(u**(-2\/13)*u**(-6)*(u*(u**(-2)\/u*u)\/u)**0) assuming u is positive.\nAnswer: u**(10324\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 0.2, 2\/29063, -0.5, 2, 2\/143?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1032650132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 + 19 + 11*h - 177 - 9*h.\nAnswer: 2*h - 347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 354 - 354 + 41*p as m + b*p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 245785 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 323496.\nAnswer: 323488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = b - 113, 0 = -b + c + 121. Let o(a) = -a**2 - 5*a + 6. Let f be o(-5). Suppose f*h - b = h. Solve v - 3*v + u = -11, -4*v + 3*u = -h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-58)\/6*27\/3. Is v*15\/(-9) + 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*y - 2028 - 5502 = 0, -y = 0. Let i = -295 - p. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431 * -0.4\nAnswer: 172.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzywywymyyymzywhmhy. What is prob of picking 1 z and 1 m?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c**3*h**3 - 21*c**3*h**2 - 8597*c**3 + 2*c**2*h**3 - 17*c**2*h**2 - 19*c**2*h + 522*c*h**3 + c*h + 26*h**3 wrt c?\nAnswer: 84*h**3 - 126*h**2 - 51582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 11*d**2 - 42*d. Let z be f(-14). Suppose -j - 6*j + 861 = z. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 572*j - 34064. What is g(201)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4422 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c - 0*c. Let p(y) = -6*y + 4. Let x(u) = 7*u - 5. Let s = 31 - 18. Let g = 9 - s. What is c*p(z) + g*x(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19089, 19169, 19281, 19425, 19601?\n\"Answer: 16*t**2 + 32*t + 19041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0 (c) 0.06 (d) 440 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**2 + 800*j + 40000 = 0. Calculate j.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(14)\/(sqrt(2)*-2) - sqrt(7)) + sqrt(7)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003282222106 to 5 dps.\nAnswer: 0.00328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9445 divided by -1515.\nAnswer: 1889\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3031, 12053, 27075, 48085, 75071, 108021, 146923?\n\"Answer: -2*x**3 + 3012*x**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 846, -5, -17973 in decreasing order.\nAnswer: 846, -5, -17973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 999718416 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.5 + -56. Let t = -2.96 - 0.04. What is the nearest to 2 in i, -2\/15, t?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03692672 rounded to five decimal places?\nAnswer: -0.03693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 312 - 2*x + 3*x**2 + 7\/3*x**3 + 1\/4*x**4. What is o(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1456)\/150696*((-3)\/1 + 12).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436362 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 791 (base 13) to base 3\nAnswer: 1210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/(3\/3) + 2. Suppose 8*j = -2*y + 3*j + o, -3*y + 3*j = 15. Factor y*n + n**2 + 0*n**2 - n.\nAnswer: n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 156555*f - 2036060.\nAnswer: 5*(f - 13)*(f + 31324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100\/159 + 2\/53. Let m = -38 + 1635\/43. Let z = 79\/301 + m. Sort 0.4, z, q.\nAnswer: z, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 61, 88, 115?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 159566607?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/5 + 2578018*x**3\/5 - 830770812026*x**2\/5 - 166155709218*x + 332309356020 = 0. Calculate x.\nAnswer: -2, 1, 644505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82262905 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1571715511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 1:45 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-42))\/(219\/(-146))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a - 18. Let l be p(-10). What is the greatest common divisor of 55 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i - 64*i + 24 = 0. Suppose -i*y = -y. Let j be (4 - 3)*y*-1 + 2. Solve 3*x = j + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:03 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26246?\nAnswer: 2, 11, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0 + 2*a + 0*a**5 + 0*a**3 + 0*a**2 + 0*a**4 - 2\/45*a**6 - 1\/63*a**7. Let c(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -23, -37, -69, -125, -211, -333?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10436.79mm in centimeters?\nAnswer: 1043.679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -129, -5 in ascending order.\nAnswer: -129, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*k - 18 = 0, u + 3*k = 4*k - 2. Suppose u*f - f - 1 = 0. Does 3 divide (-6)\/(-4)*(3 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-124) + (110\/72 - 18\/12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -8 - 0. Suppose 7*u - 1200 = u. Suppose 4*b - r*a - u = 0, 4*b + 5*a = a + 160. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -198 - -304. Let n = -55 + z. What is the remainder when 203 is divided by n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 81 = 405. Suppose -g + 1 = -2*k + 15, 5*k - 65 = 4*g. Let f = g + 32. What is the lowest common multiple of r and f?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000030715 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**3 + 4*u - 3. Let l be t(1). Let j be (1 + 0)*(88\/14 + l). Let q = 0.2 - -1.8. Which is the closest to q? (a) -1 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -257 (b) 0.08 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 34*i**2 + 696*i + 67. Calculate o(29).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + -8 + 8\/(224\/444)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1394 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-6) - 1295\/(-490). Which is the nearest to 2? (a) 1\/2 (b) -0.17 (c) -2\/7 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0811542243 rounded to 6 decimal places?\nAnswer: -0.081154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z**3 + 466*z**3 - 3*z**2 + 3*z**2 - 137*z**3 - 90*z**3.\nAnswer: 184*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*l**4 + 2*l**3 + 17*l + 21 wrt l?\nAnswer: 2964*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -133613, -267236, -400859, -534482, -668105?\n\"Answer: -133623*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-3)\/(-6) + 7. Let u(x) = -47*x - 1 - 2 - 5*x**2 + 9*x**2 + 53*x - x**3. Let d be u(g). Solve -8 = d*s, -16 = 2*y + y + s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 477728783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14913227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.1, 79.2?\nAnswer: 79.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 161*y**2 - 6*y - 3. Let z be j(-1). Which is greater: 165 or z?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353083925?\nAnswer: 5, 23, 167, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/32, 13, 1\/2, 1\/4, -2\/11, 32?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 30. Let z = 25 - b. Calculate the remainder when 1\/(-3*(-3)\/351) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 + 2*q**2 + 15*q + 1. Let l(t) = -5*t**3 - 4*t**2 - 30*t - 2. Let p(b) = 7*i(b) + 4*l(b). What is the second derivative of p(h) wrt h?\nAnswer: 6*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m - 5. Suppose 0 = 31*s - 12 - 19. Let i be f(s). Is i greater than 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 16 = 2*q, -2*j = -3*q + 8 - 32 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 1:54 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53113 is divided by 784?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 64930336477+-0.386\nAnswer: 64930336476.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let b be (r + 1)*(-540)\/(-24). What is the greatest common divisor of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 14*h**2 + 17*h**2 - 7 + 2 + 65*h**2 to the form g*h**2 + y + s*h and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001010011 (base 2) in base 5?\nAnswer: -213001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -606, -1202, -1800, -2400, -3002, -3606, -4212?\nAnswer: -4820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 22955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280377*q**4 - 373701*q**3 + 93279*q**2 + 45*q = 0. What is q?\nAnswer: -15\/31153, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.1 - -32.1. Sort 3\/10, 4\/3, b, -5 in increasing order.\nAnswer: -5, 3\/10, 4\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1282496 (base 13) to base 5.\nAnswer: 2441144301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.259297m in kilometers?\nAnswer: 0.005259297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 1. Let i be 1 - (-14)\/(4\/2). Suppose -4*k + 8 = -i. What is the remainder when l(k) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1547959*h*t - 1461057*h wrt t.\nAnswer: -1547959*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*g**5 - 369170*g**3 + 28*g - 1056205?\nAnswer: 460*g**3 - 2215020*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/8)*(o\/(o**(-1)*o))\/o)\/(o**1)**(-45) assuming o is positive.\nAnswer: o**(369\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 94\/20 - (-126)\/420 - -12. Let z(b) be the first derivative of u - 2\/21*b**3 + 0*b + 4\/7*b**2. Let z(k) = 0. What is k?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {q: 8, z: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 8:40 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 478385.4 days in seconds?\nAnswer: 41332498560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 92, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42*-1985371\nAnswer: 83385582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 13) to base 7\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9094, -9037, -8980, -8923?\n\"Answer: 57*t - 9151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12928, -54018, -123278, -220714, -346332, -500138?\nAnswer: -682138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/((-2)\/6). Let z = -2 + -4. Let y = 6 + z. Solve -5*p = j*c - 11 + 36, y = -c - 5*p - 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 378614 and 378614 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 14*s - 15. Suppose -5*y + 4*i = -15, 5*y + i = s*i. Do y and -1\/16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 5*l + 46. Let x = 24 - l. What is the third derivative of -2*c**3 + 2453 - 2453 + 11*c**x wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*t = 3*c + 490*t + 11, -15 = 3*c - 3*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n**(-2\/7)*n)\/n*(n**(7\/2)*n)\/n)**(1\/9)*(n**13*n\/n**2)**(-39) assuming n is positive.\nAnswer: n**(-58895\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = 4*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = 6. Suppose -2*i - 11 = -t, 0 = -5*t + c*i + 40 - 5. Solve 0 = -5*q + 4*r + 11 - 37, 4*q + 20 = t*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y = 5*g, 5*y = -g. Solve -16*j + 0 - 16 = y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2208 - -0.1608. What is the second smallest value in c, -1\/44, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.8. Let s = 0.2 + o. Let k = -0.0444 - -0.0444. Which is the smallest value? (a) 0.2 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**3 - 5*z**2 + 5*z**2)*(-2 - 3 + 3) - 2 + 2*z**3 + 2 + 41*z**3 - 433*z**2 + 433*z**2 - 2*z + 2*z - 2*z**3 + (0*z - z**2 + 0*z)*(-1 + 3*z + 1).\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/22161750 and 77\/66485250.\nAnswer: 66485250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1580 - -1660. Calculate the greatest common factor of q and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 390*h + 503*h - 2*h**2 + 1074*h - 2 to v + z*h**2 + p*h and give p.\nAnswer: 1187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1760*r**5 - 58174*r**4 + r**3 + 120074276*r**2 wrt r.\nAnswer: 105600*r**2 - 1396176*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -4212?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020519045 to the power of 1\/3, to the nearest integer?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*y - 52*y + 3*o + 30, 4*y + 2*o = 40. Solve u = -3*b - y, 6 = -u - 183*b + 182*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8211 + 0.87. Let n = -0.1511 - l. Is n at most as big as -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o - 4*o + o)*(o + 1 - 1) + (-3 - o + 3)*(-5*o + 3*o + o) + 0*o**2 - 3*o**2 + 4*o**2 - 138*o**2 - 35*o**2 - 460*o**2)*(3*o - 3*o - o).\nAnswer: 632*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*h - 24 = -69*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 18*i - 12. Let v be c(-17). Find the third derivative of -2*f**2 - 6*f**5 + f**5 + 56*f**5 + v - 4 wrt f.\nAnswer: 3060*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 21*z - 16. Let u = 18 + -23. Let c(j) = 2*j - 7. Let l be c(u). Is k(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (0 + sqrt(1100))**2 - (-3 + sqrt(33)\/sqrt(3)) - (sqrt(66) + 5*(sqrt(66)*1 + sqrt(66)))\/sqrt(6).\nAnswer: -1097 - 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1264.5 + -1264.4993489. Round s to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -165*y - 160*y + 326*y. Let i(h) = -125*h - 141. Let p(b) = -i(b) - 3*r(b). Differentiate p(f) with respect to f.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2974 - 6*w + 2614*w**3 - 2974 + 6*w.\nAnswer: 2614*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 smaller than 1117010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Let t be (24\/(-9))\/((-2)\/(-9)). Let r be t\/(-45) + (-2)\/3. Sort n, 0.2, r in increasing order.\nAnswer: r, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 16*g**3 - 2*g**2 - 16*g - 32. What is i(-2)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3147, -6399, -9661, -12945, -16263?\nAnswer: -19627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + p - 5*p = 36, 3*d - 39 = -p. Solve -2*f + 5*f + b - 6 = 0, 3*b + d = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2441 + -11?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(2\/45)*o*o*((o*(o*o**(-1\/6))\/o*o)\/o)\/o assuming o is positive.\nAnswer: o**(349\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 2. Let p be o(2). Suppose 0*w = -w + p. Let r = 11 - w. Solve 0 = 5*l + 10, -3*z - 5*l = 3 + r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 443 - 288. Suppose r - 14 = -3*o, 0*r = -5*r + 4*o + 13. What is the units digit of (h\/25)\/(1\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpt when three letters picked without replacement from ptttp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.41848 times -1691\nAnswer: -707.64968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**2 + 1037811*x\/2 + 129726.\nAnswer: 3*(x + 86484)*(4*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 10:38 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19\/(2128\/6244) + (-9)\/12 and 946?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2604561881 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/41 and -21\/10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4581 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 2*i**2 + i + 4. Let r be t(5). Let f be (-9)\/((1\/2)\/(7\/(-2))). Calculate the remainder when 19 is divided by r\/(-14) + 18\/f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*c**2 + 4*c - c + 1166*c**2 - 3*c.\nAnswer: 955*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**3 - 9*d**2 - 9*d + 1. Let f(n) = n**3 - 43*n**2 - 9*n + 378. Let h be f(43). Let j(l) = 3*l**3 - 4*l**2 - 4*l + 1. What is h*j(a) + 4*z(a)?\nAnswer: -3*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72\/5 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 3*d. What is g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6670 by -1334.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.17*413340\nAnswer: -483607.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1625 divided by 1625\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10000 and 469520?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwcwcww. Give prob of picking 2 c and 1 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 + 85*h**2 + 27*h + 7. Let a be f(29). Let r = a + 1402. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = -162*q - 410*q + 730*q. Solve -2*l = -q*l - 4*w - 4, -l - 3 = w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v = 4*a - 29*v - 20, -a - v + 1 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 + -180. Suppose -2*k + z*c - 159 = -6*k, 0 = 5*k + 4*c - 200. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 4. Let a = 54 + -47. Let i(y) = -y**3 + 5*y**2 + 14*y - 2. Let c be i(a). Let t be m(c). Solve t = 2*q - 6*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021641 rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(704)*-2)**2 - (3 + (sqrt(704)*-1 - sqrt(704))**2)) + 2 + (sqrt(704) + -1 + sqrt(704))*-3*-5.\nAnswer: 240*sqrt(11) + 98544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*v + 3*w, 5*v + 6 = 2*w - 17. Let q(k) = -k - 4. Let p be q(-8). Let n(j) = 5 + j + p + j - 9*j. Let y(u) = 4*u - 5. Give v*n(b) - 5*y(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, h: 14}. Give prob of sequence he.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 76*a + 605. Let t be w(-8). Sort -11, -14, t in decreasing order.\nAnswer: t, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - -68. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnve when four letters picked without replacement from {o: 10, n: 3, v: 4, e: 2}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/x**(-2))\/x)\/x*x*x)**(-2\/61))**(-2\/19)\/((x\/(x\/x**(1\/2)))**(-1)\/(x\/(x\/((x**(-1\/3)\/x)\/x)*x))**(-1\/36)) assuming x is positive.\nAnswer: x**(18976\/31293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/6 + 13*n**2\/2 - 20. Let u(g) be the second derivative of x(g). Give u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 u when three letters picked without replacement from {h: 2, e: 5, u: 7}?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26060066 (base 7) in base 15?\nAnswer: 31b6de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*(-72)\/54. Solve -o*i = c + i + 17, -5*c - 29 = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-15960)*14 + (-6414)\/(-1980). Find p, given that -34\/11 + d*p - 2\/11*p**2 = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43767001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 10)*(i**2 + 0*i**2 - 2*i**2)*(-31 + 5*i + 31).\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8435947 decades to centuries.\nAnswer: 0.08435947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0173462*0.5\nAnswer: -0.0086731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0193211 * 0.2.\nAnswer: -0.00386422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnpppxxxnxxxnxxxp. Give prob of sequence xp.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -52656 <= -52655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71143104*i**3 - 17857*i**2 + 360*i + 3 wrt i.\nAnswer: -426858624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1706093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -11 + 209*d**2 - 2*d - 208*d**2 + 2*d. Let o(q) be the second derivative of -2*q**4\/3 - q. What is m(o(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -8*a**3\/3 - 9*a**2\/2 - 9*a - 1. Let x = -38 + 47. Let g(z) = 3 - 2*z**2 - 4 - 1 - 2*z. What is x*g(s) - 2*t(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o + 175. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 8) to base 6\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -41?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063387 is divided by 280.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + t + t = 6, -3 = 4*k - t. Suppose -3*v - v - 364 = k. Round v to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4945 and 173935.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -24*a**3 - 50*a**2 - 8*a. Let k(i) = 73*i**3 + 148*i**2 + 26*i. Give 13*g(r) + 4*k(r).\nAnswer: -20*r**3 - 58*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/64 and 49\/620.\nAnswer: 9920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/29 + -95\/116. Let q = 1 + 3. Let r be 2\/(-2) - q\/(-3). Is r less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -272131, -272167, -272203, -272239, -272275?\n\"Answer: -36*b - 272095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42159 = a + 5*v + 42181, -a + 4*v = -14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1421343 (base 6) to base 2\nAnswer: 10011101100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) -2 (c) -208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, g: 1, f: 2, r: 1, e: 2}. Give prob of sequence fez.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Let u = 6 - n. What is the closest to 0 in 4\/5, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 786\/30 + 1\/(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/2)\/((5\/(-30))\/(-1)). Let o = j - 9. Factor -3\/5*l**2 + o + 1\/5*l.\nAnswer: -l*(3*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123216673 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/132 and 71\/40?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuukuuuukuuuuukuuuuu. What is prob of sequence ukku?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1091 and -2325?\nAnswer: 2536575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (0 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(170))\/sqrt(10)*4.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244564.77 nanoseconds to minutes.\nAnswer: 0.0000040760795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 7 - 7 - 10*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5356 and 676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1992*z**3 - z**2 - 34050*z.\nAnswer: -11952*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 17 - -21) + -10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - ((1 - -2) + -3). Suppose 9*m - 28 - 476 = z. Let y = m - 40. Calculate the highest common factor of y and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 629*n**2\/3 + 4888*n + 29040.\nAnswer: (n + 12)**2*(n + 605)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 3190\/31?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3 - 39468*x**2 + 3945864*x - 3906400 = 0.\nAnswer: 1, 100, 9766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - 3*w + 3. Suppose -45*k = -46*k + 4. Let p be ((-14)\/8)\/((-1)\/k). Let m(f) = 4*f**2 + 7*f - 7. Give p*u(z) + 3*m(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 55\/2 + (-1)\/(-2). Let t be -1 + 4 + (-2 - (4 - 7)). What is the greatest common factor of h and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhuodur. What is prob of picking 1 o and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 14, 16, 16, 14, 10, 4?\n\"Answer: -c**2 + 7*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -275*z**3 + 1650*z**2 - 63*z + 383. Determine x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227 + -225. Let l = -0.012 + -26.988. Let d = l - -22. Put 5, w, d, -0.4 in descending order.\nAnswer: 5, w, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-828)\/759)\/((-6)\/(-22)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 - 5*n**3\/6 - 2*n**2 - n. Let i be d(-3). Find the third derivative of g - g - g**i + g**5 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/((-8)\/56 - (-50)\/56). Let j be 4\/(2\/1) - a. Let n(t) = -t + 21. What is the lowest common multiple of 32 and n(j)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5 + 19*n**4 - 37*n**3 - 34*n**2 + 24*n = 0.\nAnswer: -1, 0, 1\/2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, -53, -166, -279, -392, -505?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 4*c - 4. Let b be n(4). Suppose i - 3*z = -b, 5*z + 0*z = 25. Let s be (-3)\/5*2\/i. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*b**3 - 57*b**3 + 0*b**2 - 33*b - 3*b**2 + 37*b as o + z*b**3 + u*b + h*b**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + h + 1. Calculate w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/3, -43525.771, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2 and -31\/4754?\nAnswer: 4754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 + 276. Suppose -233 - 71 = -16*f. Calculate the greatest common divisor of f and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.074 (b) 4 (c) -0.2 (d) 119.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4555716128.\nAnswer: 2, 4241, 33569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/9 + 16*r**4\/3 - 2*r**3\/9 - 16*r**2\/3 = 0.\nAnswer: -24, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + 0)*1\/2. Let y be (-6*z\/(-6))\/(-4). Let v = 0.3 + -1.3. Which is the second smallest value? (a) 2 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 6*d + 3. Let m(x) = -x**3 + 4*x**2 - 7*x - 4. Let o(a) = -4*b(a) - 3*m(a). Factor o(g).\nAnswer: 3*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 13) to base 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.2 - 30.1787. What is g rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3425 by -3425.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 207227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1160, 4044, 11864, 27086, 52176, 89600, 141824, 211314?\nAnswer: 300536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (342 - 307) + 2 + -7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 56*l + 54*l + 1934 = 0, -2*l - 1468 = -3*h. What is the highest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1614.3377 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 25 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104936372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21470090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 31*n - 219. What is p(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-15))\/(2*2\/(-30)). What is the units digit of u\/((-10)\/156) + (-3)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-18 - (11 - -14)) - (1 - -5) - 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114860395 a multiple of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 55. Let a(c) = -1881*c. Calculate a(s(n)).\nAnswer: 1881*n + 103455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 5*l + 5 - 2 + 2*l. Calculate the smallest common multiple of a(7) and 10 - (-6 + -1 + 6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68871\/2 - -33403. Are y and -1033 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -421 + 454. Solve o*n + 3 = 30*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130743 and 427.\nAnswer: 55827261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (356*x - 181*x - 177*x + 8)*(-86707 + 0*x + x + 86376) in the form h + i*x + v*x**2 and give h.\nAnswer: -2648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -11*n. Let i(o) = 418*o. Suppose 5*y + 0*y = 10. Let k(l) = y*i(l) + 77*j(l). Let v(f) = f**2. Give v(k(a)).\nAnswer: 121*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-10)\/(1 + 1). Let v be ((2 + 1)\/q)\/1. Which is bigger: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6045, -12046, -18047, -24048, -30049, -36050?\n\"Answer: -6001*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.522405 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -517800 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273497389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58 or 13086?\nAnswer: 13086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let r(c) = 2*c - 17. Let l(o) = 3*n(o) - r(o). Let x(v) = 4*v**3 - 365*v**2 + 95*v - 364. Let u be x(91). Determine l(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -54*p**2 - 116*p + 1514. Determine d(11).\nAnswer: -6296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 211, 423, 637, 853?\n\"Answer: q**2 + 209*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.14404*-57.57\nAnswer: -8.2923828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 4. Suppose -4*h + 8 = 24, -4*h = -3*y + 13. Let r(f) = -1. Let m(u) = y*g(u) + 5*r(u). Differentiate m(n) with respect to n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/120 + (-2)\/(-8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 118 + 118.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7659 to 2 decimal places.\nAnswer: 4.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -8\/3*c**4 - 16\/5*c**6 - 16\/3*c**5 + 0*c - 88\/105*c**7 + 0 + 0*c**3 - 1\/12*c**8 + 46*c**2. Suppose h(d) = 0. Calculate d.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 26*c + 34. Let n be q(14). Solve j - n = -3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -20a?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -9 - 1 - (2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.2. Let u = -0.46168 - -0.66168. What is the biggest value in -8, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1083 - 763. What is the remainder when l is divided by 72?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11550 - 11549.9. Sort 2, 0.04, i, -3, -3\/7 in decreasing order.\nAnswer: 2, i, 0.04, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**6*t))\/t**(-7)*t**(-10)\/t**(-9) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < -200.477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -44*v**6\/3 + v**4\/3 + 38*v**3\/3 + 1505*v**2. What is the second derivative of h(q) wrt q?\nAnswer: -10560*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 4, 29, -8, -3 in increasing order.\nAnswer: -8, -3, 1, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.139708 litres?\nAnswer: 139.708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1069965\/32240 + 15\/(-80).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/5 - 592*p\/5 - 43808\/5 = 0 for p.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i, 2*w + 3*i = 2233 + 1787. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -766, -1516, -2266, -3016?\nAnswer: -3766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19053131.\nAnswer: 23, 828397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*m + 0*k - 2436 = 5*k, -29*m - 4*k + 50 = -19*m - 8*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 18*y + 2. Let s be m(-13). Let k be 2943\/s + 6\/(-21). Let p = 49 + k. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.51 + 0.71. What is the biggest value in 5, -3, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5043 * 67.8\nAnswer: 341915.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -16, -71, -168, -319?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/1*598\/1495.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-7) + (-8)\/28. Is 1\/48 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*o - 12 = x, x + 2*o + 6 = 0. Suppose -4*h + 327 = x*d - d, -2*h + 3*d + 181 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times 17071\nAnswer: -20485.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((714\/(-105))\/(-17))\/((-2)\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(sqrt(35)\/(3*sqrt(7))))\/(sqrt(250) - (sqrt(250) + (-3*(1*sqrt(250) - sqrt(250)) - sqrt(250)))).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4316403*d**2 - 165359*d - 3 wrt d?\nAnswer: -8632806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-9)*(9\/(-6) - -1). Suppose c*k + 2 = -8, -o = 3*k - 6. Suppose 4*r + a + a = 50, a = -r + 14. Calculate the remainder when o is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69 or -70?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 15*g - 17*g + 4*a, 0 = g - 5*g + 134*a - 368 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/9)*o*o**(-3\/5))\/((o\/o**(-1\/7))\/o**(2\/11)))\/((o**(-1))**(-39)*o\/((((o*o**(1\/2)*o)\/o)\/o)\/o)*o*o*o**(-2\/3)) assuming o is positive.\nAnswer: o**(-292253\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 85*u + 576. Let x be j(-6). Solve 3*i + 5 = 2*f, 3*i - 18*f + x = -21*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32860064 and 82150160?\nAnswer: 164300320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 9:20 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.27, -0.4, -0.3, -1, 0.04 in decreasing order.\nAnswer: 1.27, 0.04, -0.3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-50) + -1 + 4*(-14)\/112.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10164 - 2937399\/289. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + k = -0*d + 56, -3*d + 5*k = -80. Let u(j) = 1 + 4*j - 7*j + 2*j. Calculate the remainder when d is divided by u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15872022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/16 + 79 + -70)*(-2 - 26).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 135871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, 68, 87, 108, 131, 156, 183?\n\"Answer: k**2 + 14*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from -0.0566.\nAnswer: -0.1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 52.1. Let y = 442\/243 + -75371\/25272. Let h = 20\/13 + y. Sort h, i, -3 in decreasing order.\nAnswer: h, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 + 2185. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 1)*(1 - 2 + 2) - 25 + 12 - 46)*(0*v - 6*v + 2*v).\nAnswer: 232*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101944 = -5*x + 928381. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 = -6*t + 3*t, -7 = 2*t + k. Suppose -l = -4*l + 12, 42 = 5*z - 2*l. Calculate the remainder when z\/5*(-24)\/t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*w, -22 = 4*o + 3*w - 2*w. Let p = 2.4 - 2.5. What is the third smallest value in o, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 880600 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 17*r**2 + 2*r - 8. Suppose -2*j + 50 = -4*z, -2*j + 0*j + 3*z + 46 = 0. Is 13 a factor of s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z + 26. Let o be r(-2). Let m(q) = 4*q**o - 270*q - 335 + 336 + 267*q. Give m(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1439 - 1398. Let z = 216 - 138. Calculate the remainder when z is divided by i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5))\/(x*((x\/(x\/(x*x**8*x)))\/x)\/x*x)*(x**(-4\/3)\/x)\/x**(-14) assuming x is positive.\nAnswer: x**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.32388?\nAnswer: 0.32388","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**5\/60 + r**4\/24 - r**3\/6 + 3*r. Let v(b) be the second derivative of i(b). Let z be -6 + (0 - -1)\/1. Determine v(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -126 and -10585?\nAnswer: 1333710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226000 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 55*k**2 - 18*k - 981. Let u be c(-55). Solve -4 = x, u = -196*b + 191*b + 4*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208 a factor of 202615159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = f - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 17 = 66. Suppose 0 = 4*l + d - 292 + q, 300 = 5*l + 2*d. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {h: 1, y: 4, v: 1, k: 4, u: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5*y - 10 = 4, 4*t + y = -8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*w*z - 9740*w + 621*z**4 wrt z.\nAnswer: -11*w + 2484*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 38, 126, 280, 518, 858?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*m - 3*q + 11 = 264*m, 85 = 5*m + 5*q. Let i(u) = -4*u - 5 + 5*u + 0*u. Let f be i(5). Solve -2*p - 10 = 3*n - f*p, -m = -n + 2*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -12*w + 104. Solve -w = -z + 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10512 divided by -72?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 30*i**2 + 106*i - 6. Let t be v(-25). Let y = t - 465. Let x(a) = -10*a + 2. Determine x(y).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1344559 - 0.5\nAnswer: 1344558.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*m - 242 = -m, 2*k - 3*m - 258 = 0. Let g be ((-16)\/4 - k)\/(-2). Let x = g + -41. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1\/2, 1\/4, -0.1, -0.01, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Suppose -1 = -3*s + 5*k, d*k + 2 + 4 = 4*s. Suppose 3*c = 5*c - s. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 66. Suppose 8*t - 52 = 12*t. Let f = t - o. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r*r**(-1\/6)\/r*r))*r\/(r*(r**(-2\/39)\/r)\/r*r) assuming r is positive.\nAnswer: r**(49\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*i - 307*i = -36. Let f be -3*(-4)\/i*(-35)\/15. Solve f = b + b - h, -b = -4*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 282932*h - 283527*h - 6 + 2.\nAnswer: -595*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 5*v**2 - 7*v + 9. Let i be f(6). Suppose -5*c + 5 = -i*z + 31, 4*c = z - 25. Let o = -2 - c. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2274092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(1900)*2 + sqrt(1900))**2 + sqrt(19))*-4 + -3)*-4.\nAnswer: 16*sqrt(19) + 273632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 - -14?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 2*h**2 - 21*h + 15. Find the first derivative of t(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o - 8, 650 = 5*r - 5*o. Let f = -76 + 12. Let k = f + r. What is the greatest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x\/(x\/(x*x**1))))\/x)**46*(x**(2\/13)*x*x)\/x**(-3))\/(((x**(2\/5)*x*x)\/(x*x\/(x\/x**(-1))))\/((x**7*x)\/(x\/(x**(-7)\/x)))) assuming x is positive.\nAnswer: x**(-2876\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 + 5*m - 5. Let a(i) = i**2 - i + 1. Let z(k) = k + 18. Let n be z(-13). Let h(o) = n*a(o) + l(o). Let x(q) = -10*q**2. Determine h(x(u)).\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -10*r**2 + 7*r. Let c = 332 - 353. Let t(b) = -b**2 - 3*b. Let h(s) = 4*s**2 + 10*s. Let p(m) = 2*h(m) + 7*t(m). Give c*p(w) - 3*u(w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 87774 = 86451 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -3\/23 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p + p**3 - 2*p**2 + 52 - 11*p + 40 + 110. Is d(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (-5 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727299248 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11278 - 141?\nAnswer: -11430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21897999*o**2 - 151205081.\nAnswer: 43795998*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffa when four letters picked without replacement from ffaafaaaaaaaaaaaaaaa.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -238, -4, 20 in ascending order.\nAnswer: -238, -4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**2 + 2*n**2 + 2*n**2 + (1 - 1 - 2*n)*(-4*n + 2*n + 0*n) + 0 + 0 + 2*n**2 + 3 - 3 + 4*n**2 + (-5*n**2 + 3*n**2 + 3*n**2)*(3 + 4 - 5).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5476 - 5474. Solve n - 3 = f, n - t*f - 7 = -0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11854027 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.5. Let t = -0.5 - p. Let k(f) = f**2 + 4*f - 5. Let y be k(-5). Is y less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 + -6.93. Let h = c - -4. Which is smaller: h or 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + -5.2. Let i = 2.45 - -2.55. What is the biggest value in -2, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -7338996\nAnswer: 66050964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1394260 to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1076529 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*t**2 - 21*t**2 + 6 + 2339*t - 2354*t - 1 as m*t**2 + w*t + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4596*v**3 + 9197*v**3 - 4593*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 715\/2 - 348. Let f = 9 - k. Which is smaller: 82 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -29. What is the first derivative of 1034*b - 19 - 1034*b - 17*b**t wrt b?\nAnswer: -51*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*y**3 - 140*y**2 + 440*y**2 - 162*y**2 + 0*y**3 - 138*y**2.\nAnswer: 55*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5eb + -2?\nAnswer: -5ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1000 and 5812750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7630*d + 1512*d + 5499*d + 5530*d - 460*d.\nAnswer: 19711*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6954 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 - 152 = 911*p. Let d = 0.13 + 1.57. Put 4, 3, p, d in increasing order.\nAnswer: p, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7 + 2*h**3 - 138*h**2 - 102*h + 12 - 12*h**3 - 14 + 21.\nAnswer: -2*(h + 1)*(h + 13)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 4*v - 6. Let d be w(-6). Let n = 9 - d. Which is smaller: 4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9022329 is divided by 5678?\nAnswer: 5665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -12. Suppose -f = -4*f + 9. Let c = 1 + f. Solve 6 = -2*w - 4*u, -14 = 3*w + c*u - i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1427221 (base 11) to base 4.\nAnswer: -21113101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.97 + -0.38. Let v = p - 0.59. Which is the third biggest value? (a) -3 (b) 1 (c) 5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 111 = -2643. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2911?\nAnswer: 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 12312.\nAnswer: 160056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**5 + 3*p**4 - 38*p**3 + 3*p**2 - 6011*p + 261 wrt p.\nAnswer: 100*p**3 + 36*p**2 - 228*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -23, -24, -23, -20, -15?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jczpjpcjjjjr. Give prob of picking 1 z, 1 p, and 2 j.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**5\/20 - 8*y**2. Let r(x) = -x + 2. Let w = 1 - 8. Let a(t) = 3*t - 7. Let s(j) = w*r(j) - 2*a(j). Give s(g(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1601?\nAnswer: -1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2670\/165 - (-2)\/(-11). Suppose -l = -2*z - 4*n, 4*z - 3 = -3*n + 9. Suppose -o + z*o + 1262 = 5*h, -2*h = 2*o - 500. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x*(x*x*x\/((x*x**(-3))\/x*x))\/x))\/x*x*x*x**(-7\/5))**(-47) assuming x is positive.\nAnswer: x**(799\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 4*g**2 + 6*g + g**2 - 2*g**2 in the form p*g + b + t*g**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -577904.\nAnswer: 1\/288952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48553.785 - -48653. Round h to zero decimal places.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/30)\/((2196\/(-36))\/732).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1733*z + 1861*z + 1408 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0*g - 3*g + 5689, -3*g - 2867 = -2*n. Suppose -4*o - y = -0*o - 1430, 4*o + 3*y - n = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9112650 divided by 6\nAnswer: -1518775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) 0.02 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 308.2784 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17011, -17013, -17017, -17023, -17031, -17041, -17053?\n\"Answer: -y**2 + y - 17011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/7 (b) -17 (c) 1 (d) 1\/2 (e) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 20. Let r = -7 - a. Factor 18\/5*x**3 + 0 - 14\/5*x**2 + 4\/5*x - 2*x**4 + 2\/5*x**r.\nAnswer: 2*x*(x - 2)*(x - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -909202 divided by -64943\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5775 - -12375. Suppose -4*b + 174532 = -u. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1081 divide 77981178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axu when three letters picked without replacement from {x: 1, u: 2, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**4 + 3*f + 6. Let r(q) = -2*q**4 + 2*q + 5. Let h be (6\/3 - 3)*2. Let a(x) = h*u(x) + 3*r(x). What is the first derivative of a(b) wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a - 43 + 1\/2*a**2. Calculate k(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596254 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 - 17*r**4)*(545 - 902 + 800) in the form t*r + b*r**2 + k*r**4 + x*r**3 + o and give k.\nAnswer: -7531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/30 + 9*q**4\/4 + 5*q**2 + 21. Find u, given that k(u) = 0.\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107, -496, -1011, -1658, -2443?\n\"Answer: -n**3 - 57*n**2 - 211*n + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 12. Let b = 2.8 - 3. Let m = 0.3 + b. Put 5, g, m in increasing order.\nAnswer: g, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:36 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220600 and 2100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(5*sqrt(108)) + 6*-2*(0 + sqrt(3)) - ((sqrt(3) - sqrt(12)*4) + -1 + 5 + -1 + sqrt(3) + -4 + (sqrt(3) - sqrt(12)\/sqrt(4)))**2.\nAnswer: -109 - 359*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113 (base 4) to base 14.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 16 = 4*u, 3*u = 187*i - 182*i + 24. Let k(p) = 10*p - 17. Determine k(i).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 53*v**5\/60 - 3*v**2 - 4*v. Let l(n) = -n. Give d(l(z)).\nAnswer: 53*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -441 + 881\/2. Let h = -27.2 + 27. What is the fourth biggest value in s, -0.4, h, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 475 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -r + 16. Suppose -2*o + 102 + 62 = 5*s, -4*s = 8. Calculate the greatest common factor of o and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115968 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 46*b**2. Let k(c) be the first derivative of 23*c**3\/3 - 164. What is o(k(d))?\nAnswer: 24334*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 - (-2)\/6. Suppose y = -o - 3*o. Suppose -4*h - 88 = 3*a - 5*a, -5*a - 3*h + 155 = o. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 13*m - 22. What is the remainder when 23 is divided by n(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 161. Let j = 110 - t. Suppose j*g - 16 - 324 = 0. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13072109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/4 (b) 1\/3 (c) -3.26 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/11 - 32*k**2\/11 - 285*k\/11 - 450\/11 = 0. Calculate k.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - o - 2 = 4*o, 1 = -o. Let w(g) = 7*g - 4*g - 3*g + h - 5*g. Calculate w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**28*n\/n**(-9\/10) assuming n is positive.\nAnswer: n**(-251\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4256 and 54796?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25063484647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 163 = 22*r - 267 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5328232 a multiple of 1126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83d683 - -4?\nAnswer: -83d67e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + 34488)*10\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y. Suppose y - 48 = -4*o. What is the greatest common divisor of o and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68938 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 17 = -5*f - 24, -2*f + 90 = 3*d. What is the highest common factor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 d when three letters picked without replacement from tvtddg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(576)*-1 + sqrt(576) + sqrt(576)*1*-2)\/(3*sqrt(12)*-1 + (sqrt(12) - ((sqrt(1728) - sqrt(1728)*1) + sqrt(1728) + sqrt(12)))))**2.\nAnswer: 256\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8684 divided by 1788?\nAnswer: -2171\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**4 - 82500*b**3 - 4133608*b**2 - 28777584*b - 41680800 = 0.\nAnswer: -42, -6, -2, 20675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1126606646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**2 + h - 790. Calculate c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + a + 542, -409 = 4*d - 7*d + 2*a. Suppose 2*j - d = -3*j. Let k = j - 21. What is the least common multiple of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2165837*z. Let p(g) = 24*g. Determine b(p(j)).\nAnswer: 51980088*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 2*u**2 + 5*u + 6. Let v be s(5). Let k = 64 + v. What is the greatest common factor of k and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7*d**2 + 1 - 2401760*d - 7*d**2 + 3*d**3 + 2401760*d.\nAnswer: 3*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 1428?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Suppose -35 = -b*x + 3*l - 7*l, -l + 14 = 3*x. Solve 2*u - 3 = -2*u + x*y, 4*y + 20 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/12)\/a**6)**(28\/5) assuming a is positive.\nAnswer: a**(-511\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = -3*d. Find the common denominator of 2 - (225\/6 + d) and -59\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3*(-3)\/15)\/(32\/(-480)). Solve 4 = -2*p - 2*f, k*f + 10 = -2*p + 4*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-4)*2\/3. Suppose -5*a - 8 + n = -3*j, -3*j - 4*a = 4. Solve -5*y = 5*r - 30, j*r + r = 4*y - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15020723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 2*v**2 + 4*v - 15. Let b be u(5). Let i be 2*b\/(-15)*3\/(-2). What is the derivative of 2*r**4 + 4*r**2 - 4*r**2 + i - 5*r**4 wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130210 (base 4) to base 11.\nAnswer: -1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1))**(-8))**2)**(-49) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:13 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 20. Suppose -2*m = -5*z - 4*m + 10, -2*z + c*m + 33 = 0. Let v be -3 - (z + (-842)\/120). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let q(b) = -1305*b**2 + b. What is z(q(l))?\nAnswer: -1305*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20191 or -20181?\nAnswer: -20181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*h**2*j**2 - 8*h**2 - 1977*j**2 wrt h?\nAnswer: -74*h*j**2 - 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222271 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*a**2 + 62*a**2 + 68*a**2 - 263*a**2 + 67*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2371 - 2376. Which is the closest to -1? (a) s (b) 8.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-33)*(-5 - (10 + -14))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -18*j. Let c(b) = 35*b. Give 4*c(r) + 7*m(r).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 20. Let g be v - 4 - -6 - -240. Suppose 1188 = 5*h + g. What is the greatest common divisor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112\/79 or 2?\nAnswer: 112\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 776772, 776773, 776774, 776775?\n\"Answer: k + 776771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*d = -2*k - 372, -3*d = 3*k - 384. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 2*q)*(q**2 + 0*q**2 - 2*q**2) + q**3 - 3*q**2 + 3*q**2 - 3*q**3 - 3*q**2 + 3*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(68)).\nAnswer: -6 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/8)*w**3\/w*w**(1\/6)*w**(-3\/5)*w*w*w*w*(w*w*w\/((w*w**(-3\/2))\/w)*w)\/w*w**5\/w*w**(-3)\/w**(2\/7) assuming w is positive.\nAnswer: w**(9371\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33720013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -1\/3*n**2 + 0 + 1\/18*n**4 + 1\/9*n**3 + n - 1\/30*n**5. Suppose u(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2956*i**5 + 41*i**2 - 22*i**3 - 2*i**4 + 16 + 17*i**2 + 2958*i**5 - 52*i = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:01 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.26, -785, -0.4, 22.8?\nAnswer: 22.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -952678*p**5*z - 2*p**2*z**3 + 72*p*z**2 + 4*p*z - 78*z**3 + z - 1 wrt p.\nAnswer: -19053560*p**3*z - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - q. Let r be (-16)\/(-10) + 18\/45. Suppose r*z - 5*u = 1520, q*u = z - 2*z + 778. Round z to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218858218.\nAnswer: 2, 43, 83, 30661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14578\/11385 - -43\/207. Calculate the common denominator of b and -2\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-252))\/(2 - (-3)\/(-9))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -344.18972.\nAnswer: -343.78972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -228*z - 1593. Let v be c(-7). Solve -v*f + 8*f = 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 5*w. Let h be k(-5). Suppose 4 = 2*o - h. Solve 4*y = -4*u + 8, 0 = -o*y + 2*u - 2 - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4682535*j**3 + 98527*j wrt j.\nAnswer: -28095210*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*n*x + 3312143*n - 52127*x + 31 with respect to n.\nAnswer: -14*x + 3312143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 485 and 109513?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {t: 6, n: 1, o: 1, j: 10, c: 2}?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 14*o**2 + 7*o + 17. Let n be r(14). Let l = 190 - n. Calculate the remainder when l is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/348291?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*1*(-2 + sqrt(176)*-2 + 4*(sqrt(176) - sqrt(176)*2) + sqrt(176))*4*2)**2.\nAnswer: 737280*sqrt(11) + 40587264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913930 divided by 182786.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdw when three letters picked without replacement from {w: 1, d: 1, f: 1, g: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = l + 3*l. Which is greater: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(4960\/(-651) + 8)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2738, -5423, -8068, -10667, -13214?\n\"Answer: y**3 + 14*y**2 - 2734*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 514536, 1029072, 1543608?\n\"Answer: 514536*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {n: 7, i: 3, g: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 9:40 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 556 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.8 - -43.\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-2))\/11)\/(37\/(-74))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 34 - -32) + 14\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1082157, -2164310, -3246463, -4328616, -5410769, -6492922?\n\"Answer: -1082153*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.8 + -2.8. Suppose 3*n = d - 4*d - 12, -4*d - 19 = 5*n. Which is the biggest value? (a) -0.4 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-40)\/(-105)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10489239777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 160 = 51*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 449809 or 450126?\nAnswer: 449809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/30))**11 assuming o is positive.\nAnswer: o**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 7*w + 1. Let x be y(6). Let f be x\/10 - (-35)\/2. Suppose 0*p + p - 15 = 0. Solve 0 = g + 3*u + f, 5*g + 6*u - 5*u + p = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtu when three letters picked without replacement from tutttumtututuumtt.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, q: 4, t: 2, l: 1}. Give prob of picking 2 q and 1 g.\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 587.9953 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180341\/6 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, e: 3, k: 1, i: 1, u: 1}. Give prob of sequence qiku.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 301783\/1100 - 12051\/44. Let q = v + -7\/25. What is the second smallest value in -1, -2, 7\/2, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*t**3 - 3*t + t + 33*t**3 + (-2*t**2 + 0*t**2 + t**2)*(-t + 0*t + 2*t).\nAnswer: 13*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 0 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126508 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 857 - 31. Let i = -306 + x. What is i rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156837*x - 156835*x + 627336*x - 156832*x - 2*x**3 - 156832*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383*s + 384*s = 18. Calculate the remainder when 69 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61522 and 30571.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 974*c - 19567 + 39039 + 20462 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 2125?\nAnswer: 14875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 3. Suppose 4*k + 2 = 2*k + r, l*k + 2*r = 4. Suppose 2*c - 101 - 1 = k. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*r - 6*a + 437, -r + 5*a + 115 = 0. What is the greatest common factor of 154 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 5 (b) 2 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**2 + 2*x + 3. Let c be l(-2). Suppose 0 = -5*u - c - 65. Let d = -2 - u. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 195?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*p + 49, -5*m - p + 32 = -171. Suppose -2*f + m = -16. Calculate the greatest common factor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.01927 + -0.168995\nAnswer: -1.188265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 41609523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15493 = w - 3*l, 5*l - 48347 = -2*w - 17405. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1072*c - 16 = 5*u - 514*c - 552*c, -4*u - 5*c - 14 = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*v = -120*v + 252. Let h be (-12942)\/v - (-3)\/7. Round h to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/29)\/((b*(b*b\/((b\/b**5)\/b*b)*b)\/b)\/b))**(-27\/4) assuming b is positive.\nAnswer: b**(1161\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2300 - -3?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (25\/10)\/((-1)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18453536 divided by 5.\nAnswer: 18453536\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18 - 585\/30)*28\/(-6). Solve -22 = -p*k + 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2708\/28 + 6\/21.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 2798*o\/3 - 138060.\nAnswer: 2*(o - 135)*(o + 1534)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 18 - 9 - (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 5*n = -26*l - 2*n - 16, -n = l - 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:40 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26\/19 - 296\/133. Which is the nearest to n? (a) 5 (b) -2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q - 185*q + 8514 + 763 - 1607 = 0 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 42*q - 67. Determine v(-45).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 13*m + 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 1. Let m be n(-3). Suppose 6*j + 4*o = j + 71, 2*j - 5*o = m. Calculate the remainder when 30 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11973115 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-3)\/(-6)*2. Suppose h*m - 60 = 3*m. Let u = m + 86. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927792 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d + d)*(-5*d**3 - 18133*d**2 + 0*d**3 - d + 3 + 18129*d**2) - 17 + 17 + 17*d**4.\nAnswer: 12*d**4 - 4*d**3 - d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/4 - 1)*-32*1. Suppose 5*w - 3*k - 92 = 0, -3*k = 2*w - 0*k - 20. What is the highest common factor of c and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509863 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 226 = -5*h. Let b = 24 + 33. Calculate the remainder when h is divided by b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 33609980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -13*y + 4491. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzpzoondn. Give prob of sequence oozd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/10 and 50\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let t = -19502 + 19500. Let r(y) = -9 + 9*y + 9. Give t*c(l) + r(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*o**3 + 3*n**3*o - 5*n**2*o**2 + 20*n*o - 2*o**3 wrt n.\nAnswer: -6*n*o**3 + 18*n*o - 10*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c - 10*c + 55*c - 4*c - 5*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-4))\/(11*(-4)\/(-88)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2872447 and 624445.\nAnswer: 14362235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 79, 200, 429, 802, 1355, 2124, 3145?\n\"Answer: 6*s**3 + 7*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w - 17. Let c(n) = -5*n - 8. Let u(l) = 13*c(l) - 6*f(l). Suppose 2*t = -g + 3, 2*g - 6 = -3*g - t. Let a = g - 0. What is u(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*b**3 + 1 - 3 - 7*b + 11*b + 1 + 2*b**2 - 6*b in the form o*b**2 + h*b**3 + s + d*b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -13558231 to the nearest 100000.\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4941 - 4936. Which is the smallest value? (a) 11 (b) 2.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 247*h*l + 281297*h - 2*l**2 + 479*l wrt l?\nAnswer: 247*h - 4*l + 479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 101*x - 31. Let m(d) = -402*d + 130. Give -2*m(l) - 9*t(l).\nAnswer: -105*l + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/2)\/(5\/10). Calculate the highest common factor of 44 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7901657 is divided by 2358?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*o**2 - 517*o**2 + 265*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 3*w**2 + 2*w**3 - 4*w**2 - 2*w**4 - 4*w**2 - 2*w in the form r*w + d + m*w**2 + v*w**3 + u*w**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 2. Suppose 5*z - 1 - 1 = -4*a, -a = -3*z + 8. Give i(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-6))\/((-533)\/(-1599))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1090*m - m**2 + 1090*m. Let u(p) = -p**2 + 0*p**2 - 7*p**2. Give o(u(z)).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 273 - 273.000209. Round u to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvq when three letters picked without replacement from vvvvvvvvvvvvvvvvvq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11215 divided by -5.\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1 - 1 + 0 - a. Let y be (-20 - -20 - (-6)\/(-2)) + 2. Let k(f) = 10*f + f**3 + f**2 + f**3 - 3*f. Calculate y*k(z) - 6*n(z).\nAnswer: -2*z**3 - z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24610, 49322, 74032, 98740, 123446, 148150?\n\"Answer: -j**2 + 24715*j - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - 4*i + 4. Let q = -28 - -24. Let h be ((-21)\/12)\/(q\/16). Let g(v) = -11 - v**2 + 7*v + h*v**2 - 20*v**2 + 4*v. What is 4*g(w) + 11*y(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + (-175)\/(-5))*1. Let p = -30 + y. Let n be 8\/p*-10*-300. What is n rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -191, -827, -1895, -3401, -5351, -7751, -10607, -13925?\n\"Answer: -m**3 - 210*m**2 + m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + k + 1. Let l(u) be the second derivative of 7*u**5\/20 - u**4\/12 - 5*u**3\/6 - 2*u**2 - u. What is -l(b) - 5*s(b)?\nAnswer: -2*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57180.51mm in centimeters?\nAnswer: 5718.051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -764*s + 626256 = -728*s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 4*f + 2*f)*(1847 - 928 - 916) + 2 + 2*f - 2 as i + t*f and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 4*x - 1. Let c = 16 - -40. What is the remainder when j(-3) is divided by (c\/(-16))\/((-1)\/6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878479?\nAnswer: 7, 125497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 2510636?\nAnswer: -2510644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21533040503\/14072295 + 4371328\/2855. Let v = y + -4\/795. Calculate the common denominator of 33\/2 and v.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3776 times 270\nAnswer: -1019520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, r: 2, l: 5, c: 7}. Give prob of sequence hh.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886192 is divided by 2126.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 4 (c) 19 (d) 0.4 (e) 0.06038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 7*n - 3. Let r be w(-5). Let g(p) = p**3 - 8*p**2 + 7*p - 3. Let x be g(r). Let u = x - -5. Solve -u*z - 1 = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -58*z**2 - 4*z - 79. Let u(r) = -29*r**2 - 2*r - 34. What is 3*s(n) - 7*u(n)?\nAnswer: 29*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 8)\/((-2)\/(-18)). Suppose b - 3*b - 3*y = -37, -4*y + l = -b. What is the first derivative of 7*u**4 + 1 - b*u**4 + 2*u**4 wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182 greater than 4729\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52208)\/(-42168))\/(4\/126).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 + 25*n**2 + 0*n**5 - 22*n**2 + (4*n - 4*n + n**2)*(4*n**3 + 0*n**3 - n**3).\nAnswer: n**5 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 213*g - 40. What is the remainder when z(1) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636708513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3882657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503 = -5*u + s, -218 = -2*u - 1306*s + 1304*s. Calculate the greatest common divisor of 246 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 32. Let y = -21 + w. Put -1, -3, y in ascending order.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 19*n - 307. Give g(40).\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122742554.\nAnswer: 2, 11, 43, 129749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 2061655 = 5971925. Round l to the nearest one thousand.\nAnswer: 211000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*q - 0*q - x, -5*q + 153 = -x. Suppose -v = -q - 50. Suppose -v = -5*p - 1. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13478*f - 8787 wrt f.\nAnswer: -13478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/32))\/(a*(a\/((a*(a*(a**(6\/13)\/a)\/a*a)\/a*a*a*a)\/a))\/a) assuming a is positive.\nAnswer: a**(1011\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 140\/(-300)*5 + 662\/6. Solve k - 5*o = 22, -k - s = 2*o - 95 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -470*l - l**3 - 177371 - 99*l**5 + 177371 wrt l?\nAnswer: -1980*l**3 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -0.04 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide ((-3696)\/(-6))\/((-6)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -13 - 27. What is the hundreds digit of ((-1192)\/h)\/(16\/(-40)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssesssessz. Give prob of picking 1 z, 1 e, and 1 s.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 185*b**2 + 307*b - 3. Let y(x) = x**2. Give d(y(r)).\nAnswer: 185*r**4 + 307*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 13 + 83 = -3*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*c + 2*c**3 - 12 - 17*c - c**3 - 7*c**3 + 0*c**3 in the form j*c + i + p*c**2 + b*c**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*o + 55*o + 69*o - 76*o + 167*o to the form p + j*o and give j.\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 888894 to the power of 1\/2, to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 2*t**7\/21 + 22*t**6\/5 + 167*t**5\/5 + 45*t**4 - 168*t - 2. Find w, given that b(w) = 0.\nAnswer: -27, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (5 - 17)) + (-1 - 2) - -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 7. Determine b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13750)\/(-9240) + 10\/(-8). Let v(h) be the second derivative of 11*h + 6\/7*h**2 + b*h**3 + 0 - 1\/70*h**5 - 1\/21*h**4. Determine r so that v(r) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -66*g**6\/5 + 122*g**4\/3 + 135*g + 2. What is the third derivative of i(x) wrt x?\nAnswer: -9504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 14. Let b be 12299998*(s + -2) - 2. Round b to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(2369\/(-12978))*(-2)\/(-7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/20 and 31\/325119348.\nAnswer: 1625596740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 430 - -594. What is the tens digit of q\/34 + (-16)\/136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*l**3*p - 3*l**3 - 76*l**2*p - 2*l*p wrt l?\nAnswer: 150*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*w + 3277 + 6191 = -2286 + 330 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53415.979 + -53368. Let m = -48 + y. What is m rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4 - 16*s**3 - 61*s**2 + 76*s = 0.\nAnswer: -4, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5249434374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Suppose l - 978 = -r*l. Let o = l - 30. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33090169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -139, -991, -1843?\n\"Answer: -852*w + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 4943 (b) -0.1 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0 (c) -0.1266\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1597970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-110)\/88*(-12)\/210\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2116 + -2101. Calculate the smallest common multiple of 264 and x.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 41 + 41)*(g**2 + g**2 + 0*g**2) + (161 - 161 - 23*g**3)*(1 - 1 + 1).\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 6:40 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 2, m: 2, w: 1, p: 1, l: 1}. Give prob of picking 1 n and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(15\/(-3)))\/((-8)\/(-16))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*p - 21645 = 147*p. What are the prime factors of p?\nAnswer: 3, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 - -235. Let c be (-71)\/(-1) - (-1 - 3). Suppose 0 = -5*i - 3*b + 132, -3*i + 3 = 3*b - c. Calculate the remainder when n is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 18 + -5 - (2 - (3 - -3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41\/2, -2166, 10?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123712597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 + 189. Let n be 0*4*4\/32. Suppose n = 2*o - h - 57. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.629 + 7.449. Let s = v - 0.72. Let i = 6.4 - s. Which is the second biggest value? (a) 2\/9 (b) 5 (c) -2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52570 (base 8) in base 13?\nAnswer: 9c61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*v + 2*d, -43*v + 5*d + 7 = -47*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + 2\/(-42). Let v = -0.16 + 0.06. Let y be (6\/8)\/(30\/24). Which is the nearest to t? (a) v (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71874, 71873, 71866, 71853, 71834, 71809, 71778?\n\"Answer: -3*p**2 + 8*p + 71869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*t - 23944, 54*t + 2*f = 58*t - 23914. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 29. Suppose -4*x + 39 + 1 = 0. Calculate the remainder when x is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngggkgkookdhgnkokgd. Give prob of sequence kh.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/6*v**3 - 1\/12*v**4 + 49\/12*v**2 + 0 + 17\/6*v.\nAnswer: -v*(v - 17)*(v + 1)*(v + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5 - 380*j**3 - 2070*j**2 - 4185*j - 2970 = 0. Calculate j.\nAnswer: -3, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q - 27 = 0. Suppose -883*d + 889*d = 2808. Let b = d + -438. What is the smallest common multiple of b and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/269580 and -8\/15?\nAnswer: 269580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w. Let v(q) = 5*q - 8. Let j(n) = 6*n - 1. Let b(h) = -6*j(h) + v(h). Determine b(k(s)).\nAnswer: -124*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 15*y**2. Let o be a(2). Suppose h + 5*f + 17 - 1 = 0, -5*h = -3*f - o. Suppose 4*c - 21 + h = 0. Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95014*d**2*o**3 - 48*d**2 + 89*o**2 wrt o?\nAnswer: 570084*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -49*b**2. Let i(n) be the second derivative of n**3\/3 + n - 30. Calculate v(i(z)).\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10820*r - 6. Let n(k) = -14*k. Determine w(n(c)).\nAnswer: 151480*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-2)\/9*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2102.140606 to one decimal place.\nAnswer: -2102.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5 - 645*f**4 + 10815*f**3 - 34995*f**2 + 24822*f = 0?\nAnswer: 0, 1, 3, 14, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**24*w)\/w*w))**(-2\/125)\/(w**(3\/40))**(-21) assuming w is positive.\nAnswer: w**(1959\/1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/17969514 and -71\/48.\nAnswer: 143756112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32594 (base 10) in base 4?\nAnswer: -13331102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x**2 + 26*x - 125. Suppose 3*n - 4*l = -6*l + 24, 40 = 5*n + l. Is o(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 69*z**3 + z**2 - 1. Let l be d(1). Let i = -29 + l. Calculate the smallest common multiple of i and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 22*y - 49. What is w(-13)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9976 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: Factor h**4 - 667780*h**3 + 148642930944*h**2 - 11028809997827568*h - 22058214572721168.\nAnswer: (h - 222594)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 2. Suppose -6*i = k*i. Let w(h) = 2*h + 47. List the prime factors of w(i).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/56*(-12)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2144 - 2152 + 4334 - n. Determine b(19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44210*l**3 + 2*l**2 - 308 wrt l.\nAnswer: -265260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/756 and 145\/336.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 600*g - 46. Let v be q(3). Suppose t + d = -2642, 7*t + 2*d = 2*t - 13216. Let w = t + v. What is w rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, o: 6, f: 5, h: 1}. What is prob of sequence oio?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 7, m: 1, n: 3, e: 3, r: 1}. What is prob of sequence ern?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*y - 3 + 13 = 0, -2 = -5*a + 4*y. Suppose -a = 2*r - l, 2*l = 5*r - 1 + 4. Let z be (-1)\/3*9\/(-12). What is the nearest to r in 0.4, z, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4*k - 24*f**4 + 115*f**3*l**2 + 5*f**2*l**2 - 18*k*l - 8*l**2 + 8 wrt f?\nAnswer: -24*f*k - 576*f + 690*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 16 = 3*h, 0 = -3*v - 3492*h + 3487*h + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 58*m**2 - 170*m - 124. What is the hundreds digit of f(53)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001001000100111 (base 2) to base 14.\nAnswer: 29739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x + 61. Let r be i(-12). Let w = -24\/7 + 65\/21. Which is the closest to 0? (a) 0.4 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-24)\/(-9)))\/((-9)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7942969mg?\nAnswer: 0.0000007942969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 44*k + 665. Give o(-14).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 434700138406515 + -434700134797817.17800117. Let y = -3608547.822 + u. Let g = 150 - y. Round g to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113 - 114 + 58*m - 112 + 337 to z + p*m and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.3 + -28.5. Let x = t + -97.8. Let o = x + 112.99796. Round o to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10602316 to the nearest integer?\nAnswer: 3256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2. Suppose 0*p + 3*p - 9 = 0. Suppose -2 + p = i. Let n be (i + 1\/(-1))\/2. Calculate y(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*r - 5*h + 53 - 12 = 628*r, 149*r - 5*h - 3109 = 0 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*m - 5*s - 215, 89*m - 173*m - s - 67 = -81*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v\/(v\/(v\/v**(5\/8))*v*v))*v**(16\/5)*v**(-4\/7)\/(v\/v**(-12)) assuming v is positive.\nAnswer: v**(-1889\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4102316 + -1?\nAnswer: -4102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 35. Let f = -1 - n. Let i = -13.5 + f. Which is the third biggest value? (a) i (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2 = 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*5*(-19)\/((-665)\/(-14)). Find the third derivative of -5292*a + 42*a**6 - 18*a**l + 5291*a - 17*a**6 wrt a.\nAnswer: 3000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58, 14, -44, -122, -226, -362, -536?\n\"Answer: -x**3 - x**2 - 34*x + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/20*8\/31198. Let r = n - 546019\/842346. Calculate the common denominator of 19\/3 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, o: 6}. What is prob of picking 1 a and 3 o?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a - 8849 + 272839 = -1038874. List the prime factors of a.\nAnswer: 2, 27143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*b + 3\/2*b**3 - b**2 - 1\/2*b**4.\nAnswer: -b**2*(b - 2)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101159.\nAnswer: 101159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286695?\nAnswer: 3, 5, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814 is divided by 1042?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/102 and 24\/78*(4158\/816)\/(-9).\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 - 65151*d\/2 + 13932648.\nAnswer: 3*(d - 43002)*(d - 432)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 598\/4 + (-2)\/(-4). Let x = 273 - 269. Suppose d = x*b - 366. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:08 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-350)\/45)*(-18)\/27?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.89987l in millilitres?\nAnswer: 43899.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47745706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(((s\/(s*s**(-4)*s))\/s)\/s))\/s**(4\/3)*((s\/s**(1\/2)*s)\/s*s)**(-29\/2) assuming s is positive.\nAnswer: s**(-265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971763630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/2 (b) -0.104 (c) 4.9 (d) -2 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 435\/(-676) - (-1)\/((-52)\/(-39)). Let o = g + 1262\/845. Determine m, given that -8\/5*m**2 - 2\/5 - o*m = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 459 = 17*i - 150. Which is the second biggest value? (a) i (b) 0.4 (c) 2\/41 (d) 2 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9708?\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 166? (a) 1\/12 (b) -1\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v. Let o(j) = 701*j**2. Calculate o(y(z)).\nAnswer: 34349*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-475)\/(-38) - 1\/2*1. Let x be ((-16)\/k)\/((-3)\/3510). Round x to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28473606 by 50218.\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361650?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14224 and 12?\nAnswer: 14236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-420)\/756)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 8 = 5*q. Is 1\/((-2)\/q) + 299 + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495*b**2 + 498*b**2 + 496*b**2 - 2001*b**2 - 100*b + 501*b**2 + 97*b.\nAnswer: -11*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert d8 (base 14) to base 16.\nAnswer: be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 67552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/2*(-20)\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**1)**(1\/2)*m\/(m\/m**10)*m**10*m assuming m is positive.\nAnswer: m**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-24)\/r))\/r*r\/((r**(-17)*r)\/r))\/((r*r\/(((r\/(r*r**41*r*r*r*r*r))\/r)\/r))\/r*(r*r**41*r*r*r)\/r*r) assuming r is positive.\nAnswer: r**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -17 - 3. Let z = -6 + a. Let x(w) be the third derivative of -w**6\/120 - w**5\/30 + w**4\/24 + w**3\/3 - 2*w**2. Give x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, a: 6}. What is prob of picking 4 w?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193885.6 months in centuries?\nAnswer: 1828.238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6813.269l in millilitres?\nAnswer: 6813269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*a + 11. Suppose -a*n = -5*w + 4990, 4*n = w + 3*n - 995. Round w to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:52 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 23*f**3\/3 - 71*f**2 + 106*f. What is the units digit of l(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 15775 = 3*b, -3*z + 17279 - 5451 = -b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 225 = -2*n, 3*n = n. Suppose 0 = -3*y + 2*y - 3. Let w = a + y. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 16 = 0. Suppose 5 = -l - n, 17 = o*l - 5*n - 8. Suppose -t + 6 = -l. 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: Solve 30 = -9*g + 14*g - 5*i, -50*g + 45*g - 4*i - 24 = -0*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 22*h\/3 - 304\/3.\nAnswer: 2*(h - 8)*(h + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a + 5. Let x be z(4). Let j = x + -15. Solve 3*r - i - 8 = 0, j*i + 12 = 2*r + 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-12)*5*-3. Let h = -17 - b. Suppose 16 = 4*k, -7*d - h*k = -3*d - 264. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1501592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16819795 = s - 2510110. Let r = s + 8409685. Round r to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {e: 3, w: 1, m: 4, j: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 1:09 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t*t*(t*(t*t\/(t\/(t**1*t*t))*t)\/t)\/t)\/t)**(-1\/40)*(t*t**(-2)\/t)\/t*(t\/t**(-2\/11))\/t assuming t is positive.\nAnswer: t**(-1317\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1\/2))*c)**29 assuming c is positive.\nAnswer: c**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2071*i**3 - 295*i**3 - 305*i**3.\nAnswer: -2671*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -46. Suppose -16 + 20 = -3*g - 5*w, 4 = -2*g - v*w. Is g at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 71896?\nAnswer: 647064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110101000000 + -11010001?\nAnswer: -1110111000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 1 = m - 3*w, -m - 3*w = -11. Let r = m - -7. Suppose 3*p + r*n = n - 22492, 2*p = n - 15004. Round p to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11170a3 (base 12) to base 5.\nAnswer: 1314032041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - q + 2*q + (1 + 11 - 2)*(-6*q - 1 + 1) - 1199 - 7*q + 1199 to the form m + t*q and give t.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 4*d - 2. Let h be y(-4). Let m be 0 - 0 - (-55)\/66. Let p = -1\/2 + m. What is the second biggest value in h, p, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 1058, 1692, 2326, 2960?\nAnswer: 3594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*m**3*o**2 + 33130*m**3*o - m**2*o - 27*m*o**2 + 3153*o**2 - 10*o - 2 wrt m?\nAnswer: -192*o**2 + 198780*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, 2, 5, 13 in descending order.\nAnswer: 153, 13, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 984?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 595, -0.05?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f**3 + 533*f**2 - 11*f + 345. Give l(41).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1104 + 10102?\nAnswer: 3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3512264 - 37?\nAnswer: -35122a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - m = 2 - 65, -5*y + 112 = -4*m. Solve y*t = -84 - 56 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhs. What is prob of picking 3 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 192, 427, 742, 1131, 1588, 2107, 2682?\nAnswer: 3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 = 3*p + 3*o + o, -3*o = -5*p + 857. Let z = p + -1181\/7. What is the second smallest value in 6\/11, z, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(0 - -1) + -6. Let b(h) = -h - 2. Calculate the remainder when 7 is divided by b(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 + 27 = 52*h - 61*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 4. Let b = n + 8. Suppose c + b*j - 163 = -2*c, -j + 151 = 3*c. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010100010 - 10101111000?\nAnswer: -10000000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 14. Let g be u(17). Suppose h = -g*h. Factor h + 0*d**3 + 0*d + 2\/3*d**2 - 2\/3*d**4.\nAnswer: -2*d**2*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*w + 602*w + 603*w + 592*w - 2329*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 - 43 - 18)*(0*a**2 + a**2 + a**2)*(-4*a**3 - 6*a**3 + 3*a**3).\nAnswer: 1764*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 656327, 656296, 656265, 656234, 656203, 656172?\nAnswer: 656141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcffqhco. What is prob of picking 1 q and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -7. Sort 0.4, 0, i in decreasing order.\nAnswer: 0.4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0563 and 88.\nAnswer: -4.9544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -556*b**4 + 5*b**3 + 336*b**2 - 7656*b + 1603.\nAnswer: -6672*b**2 + 30*b + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11996 + 19146. Round y to the nearest 100.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - -0.02. Let w = 0.4 - z. Let h = -1.4 + w. Which is the smallest value? (a) -0.2 (b) 0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-8))\/((-31)\/((-62)\/12))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. Let u be o\/(-3) + 0 + -21. What are the prime factors of 633\/33 + 4\/u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyz when three letters picked without replacement from pfyzpnh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 80732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 738013417.39268705 + -738013399. Let i = 12.39268682 - u. Let y = 6 + i. Round y to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30512 divided by 3814?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((330\/(-320))\/(-11))\/(4\/16*3)*20?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-52))\/((2 + 19)\/(-336))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/30 - (-2)\/5. Suppose 8*s - 26 - 6 = t. Put s, 3, -7 in descending order.\nAnswer: s, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*j - 6, -5*w - 4*j + 3*j - 22 = 0. Let x be w\/(-5)*1*(-922)\/(-2). Suppose 3*h = 241 + x. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1536110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*z - 16 = -2*y, 3*y = -5*z + 40. Put 1, 5, y in descending order.\nAnswer: y, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(1331)))**2 + ((sqrt(330) - (2*sqrt(330) + sqrt(330)))\/sqrt(10))\/sqrt(3).\nAnswer: 790*sqrt(11) + 47952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 10. Let z(l) = -2*l - 6. Let r(k) = 6*c(k) - 10*z(k). Let q(p) be the third derivative of -11*p**4\/24 + 4*p**2. Calculate q(r(a)).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*x - 46*x - 40. Suppose -13*w + 50 = -x*w. Which is smaller: 37\/4 or w?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6. Suppose -4*s + 0*s = 8. Let n be 2\/(-5) - (s - -2). Which is the closest to k? (a) n (b) -5\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 777470.\nAnswer: 1\/155494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*(-3)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t - 107. Let n be s(10). Let u = n + -7. Sort -2, 1, u, -11 in ascending order.\nAnswer: -11, u, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:31 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*y + 704*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/(x*x**30))**(-2\/3))**(5\/7) assuming x is positive.\nAnswer: x**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(((d*d*d*d**(2\/21)\/d*d*d)\/d*d)\/d)*d)\/d)\/d)\/(d*d**(-4\/7)) assuming d is positive.\nAnswer: d**(-53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5 + 2 + 551*o - 4 - 2. Let t be f(1). Let d = t - 1069\/2. Calculate the common denominator of d and -40\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 121018926 and 0.3.\nAnswer: 121018926.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/3 + 0. What is the nearest to b in -0.4, -3, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 5:17 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*x + 189*x = 21. Suppose x*s + 51 = 24*s. Solve -7 - 8 = s*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 1\/25 (b) -15\/4 (c) -34 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/20*(1 + (-90)\/86). Let w = -181\/817 + j. Which is the second biggest value? (a) -2\/13 (b) w (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2013435*3.\nAnswer: -0.6040305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.092736786 to three dps.\nAnswer: -1.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 25.\nAnswer: -4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -166?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06 and -62727308425?\nAnswer: 62727308425.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -21. What is the remainder when 387 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y - 3. Let z be x(7). Let c(m) = -m**2 + 2*m. Let b be c(2). Let t = 6 - 4. Solve -2*u + b + t = 4*a, -z = 4*u - 4*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 14, 52, 116, 212, 346?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - c - 1. Suppose 2*z = -6303 + 6305. Let i(k) = -15*k**3 - 4*k - 6. Calculate z*i(a) - 6*o(a).\nAnswer: -9*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((sqrt(162) + -1)*1 - (sqrt(162) + -2 + -2)) + 4 + 2*sqrt(162)*-1)**2)*-2.\nAnswer: -1390 + 504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - m - 3)*(-1675 - 417 - 984) to the form v + j*m and give j.\nAnswer: 3076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0 (c) 5\/2 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 81*w = -76*w - 19, -2*w = 3*m + 21. What is the closest to -1\/5 in -5, -1\/4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = -10*h + 294. Let u(z) = 3*z**2 - 6*z + 2. Calculate u(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -82*k**2 + 9*k - 12. Let v(y) = 81*y**2 - 7*y + 9. Let m(n) = -3*h(n) - 4*v(n). Let c(w) = 2*w. Determine c(m(o)).\nAnswer: -156*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*j - 977 + 3550. Solve -2*u + 5*q = j, 4*q - 43 = 2*u - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = -b + 13, 2*v - 1399 + 1404 = -b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + r + 91. Give s(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, and 1 f when three letters picked without replacement from {k: 1, d: 1, r: 2, l: 1, q: 2, f: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 15*a**4\/8 - 43*a**3\/2 + 78*a**2 - 72*a + 4424. Factor i(b).\nAnswer: 3*(b - 4)**2*(5*b - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-11) + 92\/22. Suppose -f*k = -10*k + 162. Let q = 42 - k. What is the greatest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000113 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 14.8341186us?\nAnswer: 0.0000000001716911875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from yyyymmmymyyyyy.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772200 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18752 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j**3 + 11*j**2 + 716*j wrt j.\nAnswer: -78*j + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.901 + -27.701. Which is the closest to -2454? (a) -1 (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 5*l**2 - 4*l. Let j be n(4). Let g = j + 14. Calculate the least common multiple of (-12)\/(-10)*(-4 + g) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 311\/5? (a) 0.1 (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:13 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2592579 years in months?\nAnswer: 3.1110948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-793)\/(-3) + (-6)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:48 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -17648*b**3 + 4*b**2 + 5*b. Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1880566290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4, 8*p + 2*g = 3*p + 373408. Suppose 10*y + p = -70320. Round y to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = 0. Let y = 6 - v. What is the common denominator of y and (-310)\/(-63) + (-6)\/(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**4\/6 - j**3\/3 - 5*j**2\/2 + 3*j. Suppose -i + 9 = 3*l - 5, -5*l - 5*i + 30 = 0. Is u(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1620)\/(-24))\/(-15))\/((-2)\/(-12)*3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from rrrjjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44093747, -176374971, -396843677, -705499865, -1102343535, -1587374687?\nAnswer: -2160593321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 648, -14.1, -1\/2.\nAnswer: -14.1, -1\/2, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 1. Let q be (-4 - -2) + 2 - 3. Suppose -2*o = -15 + 7. Let d be (6\/o)\/(q\/6). What is p(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**2 + 69165345*z - 138330702 = 0.\nAnswer: -23055117, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1599602, 3199192, 4798776, 6398354, 7997926, 9597492, 11197052?\nAnswer: 12796606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m + 11. Let l = -1160 - -1166. Let y(a) = a + 2. Let q(c) = -8*c - 18. Let w(n) = -6*q(n) - 51*y(n). Determine l*k(d) - 11*w(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011001111000010 (base 2) to base 9.\nAnswer: 180018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 - 3*y - 1. Let x(z) = -z**2 + z - 1. Let c(q) = r(q) + 3*x(q). Let k(v) be the first derivative of c(v). Let o(t) = -8*t. Calculate o(k(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*a**3 + 4*a**2 + 13*a - 2*a**2 + 98*a**3 - 13*a.\nAnswer: 6*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2776 + 816 + 63*l + 70*l - 135*l in the form d*l + c and give c.\nAnswer: -1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*p = 95, 3*p + 48 = 2*d - 0*d. Suppose -n = -d - 42. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1009352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 + 89*q - 17. Let n be m(22). Solve -4*d - 5*u = -8, 2*d = -2*d + n*u + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d3c - 2?\nAnswer: d3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 19*l**3 + 13*l**2 + 15*l + 476. Let f(x) = 11*x**3 + 7*x**2 + 8*x + 236. Determine -7*f(q) + 4*g(q).\nAnswer: -q**3 + 3*q**2 + 4*q + 252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010111000001101011111 + 10001?\nAnswer: -1100010111000001101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4 + 434*n**3 - 29583*n**2 + 28276*n + 58292 = 0. What is n?\nAnswer: -494, -1, 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*h**3*r**2 - 32558*h**3*r + h**3 - 3*h**2*r**2 + 65*h*r**2 - 3*h*r + 62*r**2 + 16 wrt r.\nAnswer: 40*h**3 - 6*h**2 + 130*h + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 94 - 266 + 96 + u**2 + 17*u. What are the prime factors of q(-23)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1. Let k(o) = -2*o + 1. Let m(g) = 2*k(g) + 2*q(g). Let j(d) = -d. Calculate m(j(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 1798.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65257 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 28 = -4*p, p + 24 = -p + 4*q. Suppose 2*m - 4*m + 64 = 0. Find the common denominator of (-1)\/p + (-156)\/m and 29\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.302 (b) -1 (c) 4 (d) 1\/3 (e) -86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*a + 150 = -145, -q = -4*a - 83. Suppose 4*c + 52 = 2*j - 0*j, -q = -3*j + c. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 19. Let i(c) be the third derivative of 5*c**3\/6 - 12141*c**2. Give 2*a(w) - 9*i(w).\nAnswer: 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 743748 - 739269 = 0. Does 72 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**5 - 314411*a**2 + 18698206*a wrt a.\nAnswer: 120*a**3 - 628822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3\/16, 4, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2300440, -2300444, -2300450, -2300458, -2300468?\n\"Answer: -p**2 - p - 2300438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 5*m**2\/2 + 2*m + 11. Let b(g) = g**2 + 10*g - 26. Let d = 0 - 12. Let j be b(d). Calculate r(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - n = -5*g + 26, 5*n - 50 = 5*g. Calculate the remainder when 1*(0 + 1169 + g + 9) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.4 (b) -201 (c) 2 (d) -0.093 (e) -0.159\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 4*w**2 + 67*w**3 + 6*w**2 + 6*w**2 - 1 - 19*w**2. Does 7 divide u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/168*-16)\/4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 60 = 2*t. Let l be 13 + ((-1)\/1)\/((-2)\/(-2)). What is the highest common factor of t and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. What is the third derivative of -2*p**3 - 2*p**3 - p**2 + y*p**3 + 2*p**3 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:22 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -19 + -143*14\/(-91). Let h(f) be the second derivative of 0 - 1\/9*f**k - 1\/90*f**4 + 0*f**2 + 40*f. Suppose h(l) = 0. Calculate l.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 23*v + 140. Let c be j(-11). Solve 4*y = 6*y - c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8170, 16370, 24570, 32770, 40970?\n\"Answer: 8200*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 3*r**4 - 5*r**4)*(1 - 3 - 1) - 2*r**4 + 0*r**4 + 0*r**4.\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (2 + -1 + 0). Let z = -2.8 - -17.8. Let p = 10 - z. Put p, 2\/3, w in decreasing order.\nAnswer: 2\/3, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 211\/2 - 106. Which is the closest to l? (a) 0.3 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4 - 638*x**3 + 47118*x**2 + 96158*x + 48400 = 0.\nAnswer: -1, 121, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*k**3 + 17*k**2 - 17*k**2)*(-1 + 2 + 1)*(k + 4*k - 6*k) as v + p*k**4 + n*k**2 + t*k + f*k**3 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 - -149. What is the remainder when o is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k + 1. Let f(g) = g. Let u(v) = -b(v) - 6*f(v). What is u(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2912\/15 and -194 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.5, -3\/8, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azazzszss. What is prob of sequence saz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57188.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303 - -303. Let b(a) be the third derivative of 0*a + g + 7\/24*a**4 - 2*a**2 + 0*a**3. Let x(z) = -2*z**2. What is x(b(r))?\nAnswer: -98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 303780263 a multiple of 1621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 9 = -3*z. Let b(p) = -p**2 + p. Let r(l) = -l**2 - 3*l + 4. Let h(n) = -2*b(n) - r(n). What is h(z)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3538248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 - 51 = 6*v. Suppose -2 = 4*i + v. Let d = 0.03 - 0.43. Which is the third smallest value? (a) d (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3393)\/(-351) + 8\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1823152, 1823173, 1823208, 1823257?\nAnswer: 1823320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7993 and -10?\nAnswer: 79930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 1 (c) -1\/2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**2 - 1. Suppose 0*f - 6 = -2*f. Let k(p) = -2*p + p + f*p - 4*p. What is q(k(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(125)*-1)**2.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 4.963\nAnswer: 3.9704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {m: 3, j: 5, c: 6, o: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + d**2 - d**3 + d. Let v be (-20 + 0)*1\/(-4). Suppose -3*n + v*j = 13, -3*n - 5*j + 0 = 23. Let p(z) = 8*z**3 - 5*z**2 + 1. Give n*t(o) - p(o).\nAnswer: -2*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 5*x + 2. Let r be a(3). Suppose r*l - 8 = 7. Let y(g) = 3*g**2 - 16*g - 137. Let c be y(10). Is c < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 814, 787, 760, 733?\n\"Answer: -27*w + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5987 in 3, -4, 0, -3, -2\/11, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**2 + 80. Let g(y) = 5*y**2 + 40. What is -5*g(b) + 3*q(b)?\nAnswer: 2*b**2 + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-7\/3)*c)\/c)\/c)**(-6) assuming c is positive.\nAnswer: c**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430600901?\nAnswer: 41, 10502461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25 + 2 - (4 + -1). Suppose 0 = -2*k - w + 52. Let y(b) = 16*b - 10. Let z be y(5). Calculate the highest common divisor of z and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 18, 5, -225 in increasing order.\nAnswer: -225, -8, -1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1146 * 0.1076\nAnswer: -123.3096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5255 divided by -5\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:26 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1937250 by -189.\nAnswer: 10250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53629\/16 or -3352?\nAnswer: -53629\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 2 - 2*c**4 + 7*c**3 + 28*c**3 + 60*c**2 wrt c.\nAnswer: -48*c + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42510 (base 11) to base 9\nAnswer: 103743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-33) + 64842\/21186?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -110?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -3*s**4\/4 - 38*s**3 - 207*s**2\/2 + 324*s + 12597. Factor i(l).\nAnswer: -3*(l - 1)*(l + 3)*(l + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*l + 18*l + 28*l - 1)*(-4*l**2 - 4*l**2 - 2*l**2) in the form w*l**3 + k + n*l**2 + y*l and give w.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3995513995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.936608 rounded to two dps?\nAnswer: -10.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590360022 + -324737?\nAnswer: 1590035285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3411*i. Let o(g) = 26*g**2. Calculate h(o(z)).\nAnswer: -88686*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5892 - -5894. Let w(h) = 2*h**2 - 5 - 2*h**2 + 2*h**2 - h**3 + 4*h. Let y be w(s). Solve t - 5 = -c, y*t = t + 5*c - 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + a**2 + 6*a**2 + 3 - a + 3*a**2. Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b7631 (base 12) to base 14.\nAnswer: 1b9ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/20 and 41\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 51*j - 70. Let g(b) = 103*b - 141. Let y(f) = 4*g(f) - 9*r(f). What is the derivative of y(m) wrt m?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 3, 1\/4, -71, -2\/3?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:53 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 12:10 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - -0.04. Let i = m + 0.1. Is -0.1 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 2:00 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 219000 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by -175632.\nAnswer: 5\/7318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 148376979 a multiple of 1359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.045 - 19.9551. What is h rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 629, 2288, 4975, 8684, 13409, 19144?\nAnswer: 25883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*o**3*p**2 + 2*j*o**3 + j*o**2*p**2 + 213*j*o*p**2 + 17*j - 4016*o**3 wrt o?\nAnswer: -12*j*p**2 + 12*j - 24096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/(-162)*(-2)\/4. Which is the closest to x? (a) -1 (b) -5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1018 (b) 0.09 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2. Suppose 5*c - 28 = 3*c. Let p(h) = -16*h + 21*h - c*h. Determine t(p(r)).\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545307321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13\/26 - (-3)\/2 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/84 + (-1 - 2\/(-3)). Which is the biggest value? (a) -0.2 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -45.35. Let j = 3.65 - l. Let q be (3\/2)\/(39\/4). What is the second biggest value in q, j, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 3)*(1 + 1 - 1)*(-2*r + 2*r - r**3).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5129246 kilograms?\nAnswer: 512.9246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54.000105 - 54. Round c to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.42 and 0.00743?\nAnswer: 0.0031206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/40 + 53\/(-5). Let k = 16 + h. Suppose k*a - 83 = -23. What is the remainder when 23 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -43. Suppose 0 = 5*p - 4*p + 300. Find the common denominator of -2\/11 and 3465\/p - 1\/a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1616679 and -0.1?\nAnswer: 161667.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 896 and 9423904?\nAnswer: 37695616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 256373\nAnswer: -22\/256373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/179571 and -15\/932059?\nAnswer: 19573239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(273)\/(sqrt(700)*-2))\/(6*sqrt(3)*-2 - sqrt(3)*1*2).\nAnswer: sqrt(13)\/280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -k + 2*g, 3*g + 2 = -k - 5. Solve 2*y + 16 = k*v, 3*y + v + 8 = -0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 254*c + 3036. Let o be h(-11). Sort o, -5, 4, -23 in increasing order.\nAnswer: -23, -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Let c(z) = z**2 - 8*z - 8. Let k be c(9). Suppose -w - 2 = k. Put u, w, -1 in ascending order.\nAnswer: w, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 17935499\nAnswer: 1793549.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 4649358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19392731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3562 or -24932\/7?\nAnswer: -3562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {h: 5, l: 2, x: 9}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d8d6 (base 14) to base 7.\nAnswer: 1644056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3598.543987 to the nearest 10.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 52) + (-16)\/(-12)*3. Suppose 2*o + 44 = n, 0*n - 4*o - 36 = -n. Let g = n + u. What is the smallest common multiple of g and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/45729739 and -42\/20786245.\nAnswer: 228648695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k - 1170485 = -169*k. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 159\/449680 and -5\/518154?\nAnswer: 227987760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + k + k + 27 = 0, 0 = -2*k - 6. Let m be -3 + 1 + 14\/r. Let l = -0.1 - -0.6. Which is the smallest value? (a) l (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**6\/240 - 73*h**4\/48 - 6*h**3 + 591*h**2. Solve d(k) = 0.\nAnswer: -8, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59728 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(130) + sqrt(130)*3 + sqrt(130))*-4 + sqrt(130))\/sqrt(10) + 2.\nAnswer: -19*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 36*r**2 - 6*r + 9. Let n(i) = i + 6. Let w be n(-10). What is the tens digit of z(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 199*u**2 - 786*u + 5299. Calculate v(-203).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.5 + -32. Let g = 1.4 - h. Which is the closest to 1? (a) -1\/2 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -50, -163, -384, -749, -1294, -2055?\n\"Answer: -6*r**3 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/7 - 10884*i\/7 + 3772912.\nAnswer: -4*(i - 1547)*(i + 4268)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w. Let f(v) = -3*v + 5. Let o(h) = 2*h - 3. Let r(j) = 3*f(j) + 5*o(j). Calculate r(n(d)).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10830070 to the nearest integer?\nAnswer: 3291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/209890 and 43\/43785.\nAnswer: 13223070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 52008856*0.1\nAnswer: 5200885.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6 - a**2 + 14.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33220314 (base 5) to base 16.\nAnswer: 46842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*j**3 + 63*j**3 + 34*j**3 + 19*j**2)*(-2*j + 2*j + 2*j).\nAnswer: 2*j**4 + 38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) 233 (b) 0.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/24 and 65\/37296.\nAnswer: 37296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, z: 16}. What is prob of sequence zzv?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 25. Let u be (0 + 0)\/(0 - 2). Suppose 0 = -u*y + y - 8. What is the remainder when y is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - -0.6. Let o = -420 - -420.5. Which is the third biggest value? (a) u (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 18870*o + 529923. Determine c(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**2 + 7*a - 2. Let z be v(5). Let m be z + 175\/(2\/(-2)). What is m rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 51. Let z = 36.5 - p. What is the smallest value in 1, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 407079*u**3 - 320469 wrt u?\nAnswer: 1221237*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21533706 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -73a7 (base 16) to base 13\nAnswer: -10626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12*(63\/(-54) - (-4)\/6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-45)*-3*108\/36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -124*x + 1011. Let m be f(8). Solve -31*u = -m*u - 36 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 520 - v**3 - 520 - 23*v**2 + (3*v**2 - v**2 + 0*v**2)*(2*v - 2*v - 2*v) - 6*v**3 - v**3 - 4*v**3.\nAnswer: -16*v**3 - 23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 19a2?\nAnswer: 19a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + l = 9, -s = 5*l - 8 - 9. Let z(u) = 4*u**2 + 11*u + 1. Is z(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -1856876?\nAnswer: 1856885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 + -1108 + 71 + 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 183. Let s be 1\/3 + 1\/(-3). Let r be p(s). Let g = -100 + r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**2*g*x**2 + 3*d**2*g - d**2*x**2 - 17*d**2 - 2*d + 9*g + 3957*x wrt x.\nAnswer: -2*d**2*g*x - 2*d**2*x + 3957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002102 + 11221?\nAnswer: -220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 264749314 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83899953 or -83899954?\nAnswer: -83899953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 87417 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b = -51*b + 12. Determine h so that -285*h**2 - 2*h**3 + 12*h**b + 280*h**2 - 5*h**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2782\/17, -6, -1\/4 in increasing order.\nAnswer: -6, -1\/4, 5, 2782\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 20*u. Let i(g) = 7659*g. Calculate i(o(j)).\nAnswer: 153180*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 487, 707, 917, 1111, 1283?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 62\/((-744)\/(-450))*(-36)\/(-15). Suppose 38 = s - i - i, -i = 4*s - 116. What is the greatest common divisor of n and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moommooommoommmomoo. What is prob of picking 1 m and 2 o?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 24, 4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**3 - 6*d**2 - 7*d + 8. Let v(x) = 2*x**3 + 3*x**2 + 3*x - 4. Calculate 3*r(m) + 7*v(m).\nAnswer: -m**3 + 3*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 5:52 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*f**2 - 40*f**2 + 12*f**2 + 79*f**2 - 21*f to g + k*f + t*f**2 and give t.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -683*a + 681*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 18*m**2 + m. Let x(v) = 5*v**3 - 53*v**2 - 3*v. Calculate -8*u(o) - 3*x(o).\nAnswer: o**3 + 15*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 4 - v + 3*v**2 + 0*v + 2*v**2 + 4*v. Give z(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (269\/((-16140)\/(-2520)))\/((3\/(-2))\/1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 10) + 2 + 179 + (-42 - 132)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3037634 and 12035.\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*3*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 167 and 13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 0, 7, 28, 69, 136, 235?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-56))\/(8199\/(-3644))\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l, -3*t - 48 = l. Let h be -15*(t\/12 + -2 + 4). Is (-1778)\/h - 21\/(-105) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/4, 4\/3, -106, -1, -4.\nAnswer: -106, -19\/4, -4, -1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 4*m + 4*m + (2 - 2 + 2)*(5*m**3 + 0*m**3 + 0*m**3) + (-m**2 - m**2 + 0*m**2)*(-m - m + m).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - d = 3, 2 - 5 = -x - 5*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Let c(k) = k + 1. Let o be c(3). Suppose -o*l - 3*m + 20 = 0, -10 = l - 3*m - 0*m. Let x(h) = l*h**2 + 0*h**2 - 4*h**2. Determine x(y(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 111405134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -18, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -3\/5, 20\/3, -153, -2\/5, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-105)\/(-54) - (42\/(-12) + 5). What is the fourth biggest value in z, 0.4, 2\/3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-502452)\/(-23868) + 3\/(-117)*2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39*(-8)\/8)\/((-2)\/((-14)\/21)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1650 and 71\/4?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13203439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**4 - 6775*w**2 + 43760*w wrt w.\nAnswer: -24*w**2 - 13550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiwj. What is prob of picking 1 w and 1 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/i)**(2\/17)*i**(-3\/8)\/(i*i\/i**1) assuming i is positive.\nAnswer: i**(-139\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3\/2 + 21*i**2\/4 + 3*i - 3 = 0. Calculate i.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - 1) + 1 - 8216\/(-3555) and -27\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*p - 365818 - 691382 = 0. Calculate the least common multiple of p and 16.\nAnswer: 70480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(539) + -2)**2)*-2.\nAnswer: -1086 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 3, -263, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.045 - -12. Let q = 0.523 - -4.522. Let p = q + h. Which is the third smallest value? (a) p (b) 3\/2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 777, -1.\nAnswer: -109, -1, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35361480 divided by 210.\nAnswer: -168388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-6 + 13 + 0 - (13 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1747 = -v, -2*v + 5*b + 3506 = 3*b. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.754 - -0.754. What is the nearest to 0 in y, -5, -1\/32, 0.2?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 2 - 640*v**2.\nAnswer: -640*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - -2 - (-66)\/2 is divided by 61\/((-2806)\/69)*(-6 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1364545\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or 46450?\nAnswer: 46450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6.7. Suppose 5*r + 37 = 2*g, -11*g + 40 = -6*g - 2*r. Put y, 0.2, g in decreasing order.\nAnswer: g, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 98*(-45)\/(-18) + (-2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 43\/129 + (-390 - (-3)\/9*-1). Is -383 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483 divided by 69.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6753?\nAnswer: 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 509.\nAnswer: -2545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -8580?\nAnswer: -8581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3687*1.\nAnswer: -3687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124152, 248257, 372314, 496323, 620284, 744197?\nAnswer: 868062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 309 = -10*w. Let v(h) = h - 10. Let n(j) = j + 1. Let a(m) = 4*n(m) + v(m). Let l be a(7). Solve -5*x - l = -f, 0*x - 3*x + 2*f = w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + -1 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 81670*h + 333499445.\nAnswer: 5*(h + 8167)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (23 - (15 - 5)) - (8 - 1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352229.\nAnswer: 352229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120020000 (base 3) in base 10?\nAnswer: -30780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 1 + 3*s**2 - 11 + 9*s + 0*s**2. Is 6 a factor of f(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -496.705 times -222\nAnswer: 110268.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -102628500 divided by -16620?\nAnswer: 6175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91667789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21) - 1368\/(-14). Suppose -32 = 3*a - h. Let p = a + -8. What is the remainder when 40 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6 = k - 3*k, -2*u - 16 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d + 431 - 431 - 9*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70094013 divided by -56391.\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**7\/4200 - s**6\/1800 + s**5\/150 + s**4\/30 - 3*s**3\/2 - 10*s**2. Let p(g) be the first derivative of z(g). Factor p(r).\nAnswer: -(r - 2)*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 - -312. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 9*o + 4. Let j be r(-4). Solve -v - 5*l + 18 = j, -5*l + 6 = -9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = 0, -3*v = -6*v + 3*i + 177. Let z = v + -51. Let f(n) = -n**3 + 7*n**2 - 2*n + 8. Determine f(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 475456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*0\/(-2). Suppose 2*s - 2 + 0 = v. List the prime factors of s*(0 + -2 - -20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 - 480.2. Let h = c - -485.283. Round h to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2288814*v + 1144563*v + 1144257*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -f + 166, b + 2*f = 2*b + 80. Let r be 6\/(-2)*b\/36. Let h = r + -6. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4159*-0.568\nAnswer: -0.2362312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 8, -2, 0 in decreasing order.\nAnswer: 8, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9815 times -20?\nAnswer: 196300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:14 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.1066m to centimeters.\nAnswer: 3710.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*x - 50*x. Suppose x = -2*v - q + 383, 5*q + 28 = 3. List the prime factors of v.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 894717 or 894707?\nAnswer: 894707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152192109 divided by -157061.\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.70199 micrograms to tonnes.\nAnswer: 0.00000000006570199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7 + 372*n + 12 - 377*n. Let s(k) = 7*k + 0*k - 3 - 5. Determine 8*f(d) + 5*s(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 = 32. Let m be (-5335)\/(-66) - (2 - 13\/k). Let q = m - 82. Which is greater: -12\/25 or q?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(1\/(-1)))\/((-6)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) -2.8 (c) -1\/3 (d) -13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i + i + 1 - 1 + i - 3 + 3 + i + (2*i - i - 2*i)*(3 + 1 - 2) - 7*i + 7*i + 4*i + i - i - i)*(-3 + 6 + i - 1).\nAnswer: 5*i**2 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7470665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/63)\/((-8)\/(-168)). Solve 0 = 2*f + o - 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5071 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 5*i - 1. Let x be v(6). Let l(s) = s**2 - 324*s + 13495. Let p be l(49). Solve -4*a + x*y = -25, 2*a - p = -a + 4*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-45))\/(-4) - (-6)\/(-15). Let m = -10.92 - -11. Let w = 0.58 - m. Which is the smallest value? (a) 3 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 4*p**2 + 2 + 3 + 2*p**2 - p. Let l be v(0). What is the third derivative of 5*c**5 - 7*c**5 - 4*c**2 - 3*c**l wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1655 (b) 8 (c) -219 (d) -1 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 171 + 207 = 0. Solve -5*w + 5 = 0, 4*w = -v*l + 4*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 0 - (21 + -20 - (15 + -11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o*s**2 - o*s + 106868*o + 69005*s**2 + 2 wrt s.\nAnswer: -2*o*s - o + 138010*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/8 + (-16)\/32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -139, 1\/2, 0.3, -155, 0, 3, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -37*d**3\/2 + d**2\/2 - d. Let w be z(-1). Calculate the highest common factor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39753047870+3\nAnswer: 39753047873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -65?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4233 divided by 898.\nAnswer: -4233\/898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n. Let h be 1 + 2\/(2 - (-20)\/(-8)). Determine x(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1708 - 1708 - 1905*o)*(-o + 4 + 0*o - 5) in the form u*o + x*o**2 + g and give u.\nAnswer: 1905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*d + 4 = 3, -3*d = 3*v + 6. Let j = -15 - -19. Sort v, j, 0 in increasing order.\nAnswer: v, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 23153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 14*j + 1. Let z be p(-14). Sort -1, 6, z, 2 in increasing order.\nAnswer: -1, z, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skx when three letters picked without replacement from {s: 4, k: 1, x: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000719020507 rounded to 5 decimal places?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4 - 15575*i**3 - 2231*i + 23.\nAnswer: -24*i**2 - 93450*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27624, -39011, -50398, -61785, -73172?\n\"Answer: -11387*j - 16237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 64. Let r be 12\/p - (-36)\/9. Let t be (1 + r)\/(1\/1) - -1. Solve t*d + 2 = -2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 31*s + 29. Let c be h(16). Solve -5 = 2*g - c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/27025 and -17\/115.\nAnswer: 27025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 2 = -24*k. What is the closest to k in -0.5, 3, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 2*h**3 + 4*h**3 + 2*h**3 - h**3 + h**3 + (-h**3 + h**3 + 2*h**3)*(-1 - 3 + 5) + 5*h**3 - 4*h**3 + 0*h**3 - 2*h**2 + 11*h**3 - 20*h**3 + 3 - 2.\nAnswer: -2*h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118038*-1.22.\nAnswer: -144006.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 5. What is the units digit of n(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.69964 and -97.78?\nAnswer: 93.08036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) 0.8 (c) -1\/2 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u. Let y = -4685 + 4688. Let l(t) = -5*t. What is y*f(q) - 2*l(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137.6 + 132.6. Which is the second smallest value? (a) u (b) -2\/9 (c) -6\/35 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1027*u + 200750 - 83672 = 0 for u.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k*k*k\/(k*k*(k*k**(6\/11)\/k)\/k))\/((k**1\/k*k)\/(k*k*k\/(k\/((k\/k**(1\/3))\/k))*k))*(k**(-1))**(-3\/4)*(k**2)**(3\/5) assuming k is positive.\nAnswer: k**(3347\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.011278 and 22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 0.5. Let n = t + -0.1. Let d = n - -0.1. Which is the smallest value? (a) -2\/15 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -602254*k**3*p**2 - 47*k**3 + 1451*k - 2 wrt p.\nAnswer: -1204508*k**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.863 - 0.097. Let v = -0.08 - -0.04. Let s = v + g. Which is the closest to 1? (a) s (b) -0.3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02201 - -0.52201. Which is the closest to -8? (a) 40 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/34 - 308*k**3\/51 + 155*k**2\/17 - 5973. Suppose y(x) = 0. What is x?\nAnswer: -155, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8217 = -6*v - 358*v - 383*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 129223 (base 13) in base 2?\nAnswer: 1101101100000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*m = -62, 0 = -9*m + 5*m - 16. Suppose 0*y + 2*y + 140 = 5*j, -5*y = -25. Calculate the smallest common multiple of b and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -4, -53.3, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7830470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1537 + 1539. Put 42, r, 0 in increasing order.\nAnswer: 0, r, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -55\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382544, -382541, -382538, -382535, -382532?\nAnswer: -382529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/30 - 17*i**3\/3 + 12*i**2. Find the first derivative of v(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - j - 3*j + 108 = 0, 63 = 2*v + 5*j. Suppose 0 = 4*d + 2*d - v. Solve t + t + d = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjk when three letters picked without replacement from zqqksqj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.62757 rounded to two dps?\nAnswer: 2.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (193 - 44)*(-2)\/1. Let v = 298 + j. Which is the closest to 1\/3? (a) -4 (b) -2 (c) -0.3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000448810578 rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 4*u + 4 + 2*u**3 + 0*u - u**4 + 6*u to the form z*u**4 + l + j*u**3 + f*u**2 + g*u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = 4*z - 143, -3*v + 479 = 2*z. Let s = -162 + v. Solve 2*u = -4*y + 2, 4*y = 2*u - 3 + s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 424264 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 3*g**2 - g + 4. Let s be u(-3). Suppose 238 = -5*l + s*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 2130 = -6*s. Let d be (2\/(-28))\/(2\/(-29938)). Let q = d - s. Find the common denominator of q and 59\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7134, -3, -1, -2 in ascending order.\nAnswer: -7134, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (46 - (33 - -8) - (-1 + -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 4, 30, -4, -5 in ascending order.\nAnswer: -5, -4, 0, 2, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 18*o**2 - 111*o + 90.\nAnswer: 3*(o - 3)*(o - 1)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 35*j**3 - 15*j**2 - 217*j + 4. Let v be u(-18). What is v rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-357))\/(9*2882\/(-1386))\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q. Let x = -66 - -57. Let j be n(x). Let o be 15 - (0 + (-2)\/2). Solve -5*t - 2*y = -7 - j, -3*t + o = -2*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + (-1*sqrt(630))\/sqrt(10)*-5)**2 + -5.\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3 - 3)*(3 - 5 + 4)*(6 - 1 + 4).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 174420?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -c1?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - -38. Suppose r*c - 72*c = -44. Suppose -49*u = -c*u - 1000. Calculate the highest common divisor of u and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbx when three letters picked without replacement from bbxbxxbbxxxbx.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 - 148774*u**3 - 23*u**2 - 132360588*u.\nAnswer: -12*u**2 - 892644*u - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1055*t**2 - 512*t**2 + 3 + 1 - 284*t**2.\nAnswer: -1851*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Find the third derivative of -u**5 - 4*u**3 + u**3 + 3*u**3 + 3*u**v wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b5043 (base 12) in base 16?\nAnswer: -39cf3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 - -139. Suppose 215 = -z*u - 39. Let r = -51 - u. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 5*t**2 + 8*t - 8. Determine d(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 4*i + 1. Let t be o(3). Calculate the common denominator of -20\/7 and (t\/(-3))\/((-5)\/(-3)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + 0 + sqrt(180) + 0 + 0 + sqrt(180)) + -3)**2 + -1.\nAnswer: -480*sqrt(5) + 11544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-26 + 3)) + -4 - (-2 + 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7127 + 7147. What is the remainder when 181 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 29*c - 13. List the prime factors of l(10).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 419\/633 - -1\/211. Let t = 0.92 - 1. What is the closest to 1 in 0, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/8 + 81*v**3 - 201390*v**2 + 65466272*v.\nAnswer: v*(v - 548)**2*(v + 1744)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8324*q - 83233. Calculate o(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100001101000000001 (base 2) in base 4?\nAnswer: -1201220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1519726*f - 1519726*f - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6365, -6367, -6369, -6371?\n\"Answer: -2*c - 6363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from llmqqqqgmy?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 2*i**4 - 3*i**4 - i**4 + 9*i**4 + (2 - 2 + 2*i**2)*(-2*i**2 + 4 - 4) to u*i**4 + w*i + h*i**3 + y*i**2 + q and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5837261 is divided by 34540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/25) + -14467 + 14486.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 650*g - 646*g - 5*a - 15, 0 = g + 3*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.29 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or 0.17?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8532996 is divided by 948104.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -67*k**2 - 17*k + 9. Let t(w) = 35*w**2 + 8*w - 4. Determine -9*t(h) - 4*y(h).\nAnswer: -47*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.785 - -0.215. Sort -0.16, r, -0.0027 in descending order.\nAnswer: r, -0.0027, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3868 and 19\/6?\nAnswer: 11604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39861 - -279059\/7. Let 12\/7*a - 2\/7*a**2 + z = 0. What is a?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3*(-162)\/(-12). Let j(z) = 21*z + 9 - d*z - 21*z. Let o(v) = v - 1. Let a(n) = j(n) + 9*o(n). Calculate a(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 6 = 2*z, -2*z + z - 3 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1853?\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 2*j - 180 = 0. What is the third derivative of -j*o**2 + 79*o + o**2 + 15*o**2 - 115*o**6 wrt o?\nAnswer: -13800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.395 - 0.105. Let h = -2\/93 + 250\/93. Let u = 17\/6 - h. Put 1\/9, u, q in decreasing order.\nAnswer: u, 1\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, y: 1, k: 5}. Give prob of sequence kk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - 5. Let h = p + 21. Calculate the remainder when h\/((-2)\/174) - -4 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 14665606.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -35, -44, -47?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3335688 and 432.\nAnswer: 6671376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - 1 - (-5 + -7 - -8 - 3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -2 - -10 - (-1 - (-7 - -10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5124332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.3 + 1.3. Let n = -0.076 - -12.076. Let j = n + u. What is the smallest value in 0, j, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 25199*c**4\/12 + c**3 - 5*c**2\/2 + 15*c. Let m be z(5). What is m rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 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: Calculate 0.07644 - 0.11.\nAnswer: -0.03356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))**(-41)*g*g**(-11\/2)*g*g**(-4))**(-13\/6) assuming g is positive.\nAnswer: g**(2327\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 593.79138 - 0.02138. Let b = g - 590. Round b to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*h - 4, 0 = h - 3*t - 0*t - 2. Solve -2*y - h*y - 7 = 5*d, d = -2*y - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 1 + 0)*(-4*k**2 - 9*k**2 + 11*k**2) + (-k - 1 + 1)*(-2*k + 3*k - 2*k).\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 8. Suppose w*n = n. Suppose j - 6*j = 0. Solve -4*y + j*g - 3 = -3*g, 5*g - 25 = n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 8. Let a be m(-10). Sort 0.4, 0.8, 3\/5, a in increasing order.\nAnswer: 0.4, 3\/5, 0.8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 37471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 - -4) - (-2 + 4 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20427488 to the nearest integer?\nAnswer: 4520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v - 18. Let l be (-2)\/(-5) + (-442)\/(-170). Let n(d) = 4*d + 12. Let k(a) = l*n(a) + 2*p(a). Let i(o) = 81*o - 4. What is i(k(z))?\nAnswer: 162*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69\/206 + -413239\/1232498. Does -1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 9 + 8 - 76*o.\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 12*a - 11. Let g be v(7). Let q be 3*(-14)\/(-9)*g\/28. Solve -3*r = -3*x + q*x + 8, 10 = -x - 5*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*s = 2*s + 114, -4*d - 5*s = -151. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 - (91 + 118) - -30\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180\/11 - -2465\/154. Is v != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-68850)*603 + 10\/(-125))*17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 - (-1 + 4) - -4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-7\/6)\/g**(-6\/7))**(7\/13))**(3\/19))**14 assuming g is positive.\nAnswer: g**(-7\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 2*s + 1, 0 = 3*b + 3*s - 10 - 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, -8747, -2.\nAnswer: -8747, -3, -2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193*g**3 - 2387*g**3 + 1205*g**3.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -6, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641755031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5814\/(-357))\/((-27)\/126*2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Let t(r) = n*r**3 + 5*r + 3 + 4*r**2 + 1 - 6*r**3. What is the units digit of t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48393 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111012 - 100221?\nAnswer: 11010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8964 divided by 4.\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(6*2\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/35352 and 167\/900.\nAnswer: 883800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*d - 44*d + 20*d**4 + (-2 + 2 - 3*d**3)*(-2 + 0 + 3)*(3*d - d - d) in the form b + g*d + m*d**4 + s*d**2 + t*d**3 and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 10 (c) 3 (d) 505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*0*-1. Let t = 2 - w. What is the smallest common multiple of t + (0 - -1 - -1) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -2313?\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**7\/105 + u**4\/6 - 11*u**2. What is the second derivative of q(r) wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26504079 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20647573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*p - 22*p - 160 + 65*p + 22*p**2 - 24*p - 2*p**3 to the form i + j*p**3 + w*p**2 + d*p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*i - 7*i. Let t(h) = 15*h - 13*h - 5*h**2 + h**3 + 5 - 4. What are the prime factors of t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1584 - -4?\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = i + 10. Suppose -i*m + 78 = 18. Find the third derivative of 48*b**6 - 21*b**6 - 51*b**m - 32*b**2 wrt b.\nAnswer: -2880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.3 + 9. Let a = 0.6 - 1. Put 0, f, a in decreasing order.\nAnswer: 0, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102688 - -13599. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88208 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 135 = 22*m + 13*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*1)**2 + 5)*4 + -5 + (sqrt(13) + (-4*sqrt(26))\/sqrt(2))**2.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 6:44 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.05 (b) -26 (c) 1\/2 (d) -5.2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*2\/3*(4428\/(-1392) - -3). Which is the fourth smallest value? (a) -1\/3 (b) -2 (c) x (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22203, -22237, -22321, -22479, -22735, -23113, -23637, -24331?\n\"Answer: -4*n**3 - n**2 - 3*n - 22195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484753000 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 6*u**2 - 14*u**2 - 25 - u + 60 + 25*u**2 as y*u**2 + d + n*u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -73*p - 605. Give o(-5).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -43*u**2 - 12*u + 44. Let s(d) = -d + 11. Let l be s(5). Let p(r) = r**2 + 2*r + 1. Let q(v) = l*p(v) + z(v). Differentiate q(k) with respect to k.\nAnswer: -74*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:46 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 2860*d + 1431*d + 1429*d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -e018?\nAnswer: -e024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320645.\nAnswer: 5, 13, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(180))**2*4 - (-1 + sqrt(80) + (sqrt(80) - (1 + sqrt(80))) + 0 + sqrt(80))**2.\nAnswer: -256*sqrt(5) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/12 - 1599*q. Let t(s) = 4*s**2 - 213. Give t(m(z)).\nAnswer: 4*z**4 - 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((0 - 3) + 32\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 1 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2*n**3 + 12. Let p(v) be the first derivative of -v**2 - 1. What is z(p(d))?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*t - 115. Let s = 38 - t. Let x(k) = -9*k**2 - 2*k - 1. Give x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.4 - -19. Let q be (-2)\/(-16) + (-7905)\/(-952) - 8. Let s = 17.2 + -17. Sort y, -17, q, s in ascending order.\nAnswer: -17, y, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 divided by 42.\nAnswer: -247\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -212*q**2 - 33011*q + 1246 = 0.\nAnswer: -623\/4, 2\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 40 + 65 = 0. What is the common denominator of 34\/s + 34\/51 and 26\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 16 = 4*p. Let b be -1 - (1 - p) - (-1 - -1). Let o = -3 - -7. Solve b*j + 5 + 4 = w, 0 = -5*j - o*w + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h. Solve -1 = -h*j - j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 6*l = -24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6497 to 2 decimal places.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1742*s**3 - 210*s + 194132 wrt s?\nAnswer: 5226*s**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**4\/12 - t**3 - t**2\/2 + 2. Let d(b) be the second derivative of g(b). Give d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 5*r + 2238 + 562, 5*r = 3*w - 1682. What is the remainder when w is divided by 6\/(-5)*4240\/(-72) + 60\/(-90)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2119 by 5.\nAnswer: 2119\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 524099, 523880, 523661, 523442, 523223?\n\"Answer: -219*d + 524318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654 a factor of 20481482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 165*h - 166. Give p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 112 (b) 0.2 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + q)*(527*q - 527*q - 762*q**2).\nAnswer: -1524*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 438636 and 20?\nAnswer: 2193180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*y - 4*j - 111 + 94 = 0, 4*y = 2*j - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 8. Let l be u(-2). Sort l, 0.5, -1\/7, 2\/17 in ascending order.\nAnswer: -1\/7, 2\/17, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 31\/5 - (-261)\/(-1305). Solve -t*r - 26*r = 66 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z**2 - 9*z + 11. Let q(k) = -12*k**2 - 4*k + 5. Determine 3*a(t) - 7*q(t).\nAnswer: 9*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -176\/3. Let q = -14 - -9. Let s = -0.1 + 4.1. Which is the second smallest value? (a) s (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 - 14*u - 19*u - 15*u - 2 + 2*u**4 + 47*u - 4*u**2 in the form w*u**4 + d*u + m + g*u**3 + l*u**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 8*o - 26 = 5*o, -22 = -4*x - o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 48 = 498*d - 499*d + 46, 0 = d - 2*v + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44319 or -1\/3?\nAnswer: -44319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*p + 8 = 0, 4*s - p - p - 26 = 0. Suppose -3*b - 66 = -s*b. What is the smallest common multiple of b and (6\/9)\/((-4)\/(-42))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 594.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1225)\/(-5775)*(-6)\/(-7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 - 1906051 + 1906051.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 234, 465, 706, 957, 1218, 1489?\n\"Answer: 5*f**2 + 216*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76) - sqrt(19)) + -4*sqrt(76).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13229 - -13353. Solve 46*w = 15*w - s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245879 by 16.\nAnswer: -245879\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168768 and 1152?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10708654?\nAnswer: 2, 11, 486757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-385)*(-1144)\/312.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h**2 - 106*h - 38. Let j be f(11). Put 5, 48, j in decreasing order.\nAnswer: 48, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yddwcy. Give prob of picking 1 d, 1 w, and 2 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(432)*1)\/sqrt(9))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*d = 49, 1251*x - 21 = 1250*x - 16*d + 11*d + 23 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/11)\/(1*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 855 = 5*d, d = -b + 5*b + 171. Suppose -3*y + d = 3*j + y, -5*y = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44407, 45896, 47383, 48868?\nAnswer: 50351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, 1 m, and 1 k when four letters picked without replacement from {s: 1, r: 3, k: 2, x: 2, a: 2, m: 4}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77204162800 - 0.1.\nAnswer: -77204162800.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 5 + 4 + 11 - 9*a**2 in the form l*a + t + u*a**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 380200 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -102\/19, -0.4, 0.3, -13 in ascending order.\nAnswer: -13, -102\/19, -0.4, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153 - -111) + (2 - -4) + -19 + 0?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*h - 2168. Let o = h + 61. Suppose -3*z - 5*n = -509, 7*z - o = 5*z + 4*n. Does 42 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 57. What is the second smallest value in 1\/8, -0.2, n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 6*a - 6, -2 = -4*l + 40*a - 42*a. Sort l, -5, -13, 12, 3 in decreasing order.\nAnswer: 12, 3, l, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233302 and 314.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2*z + 4, 60*m - 4*z = 57*m - 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + 148*y + 4446. Calculate n(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 52. Suppose v - 34 = -6*i. Solve 3*c + 5*f + 26 - 5 = 0, -c + 13 = -i*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 32 - 4*d**2 + 75.\nAnswer: -4*d**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 7 - (1 - (-2 + 13))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 5*z**2 + z + 7. Suppose -7 = 12*l + 53. Calculate n(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-99))\/(0 - 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9493514*a**4 - 40576308*a**2 wrt a?\nAnswer: 227844336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 1. Suppose -2*l + k = l. Calculate the greatest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2155 - -2556?\nAnswer: 4733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*s + 0 = 2*i + 269*s + 23, i - s - 9 + 27 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 3*a**2 + 6*a - 6. Let n be c(4). Find the third derivative of -5*t**2 - 5*t**2 + 5*t**5 + 4*t**n wrt t.\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-1)\/(-49))\/((-86)\/602)*-623.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 45. Suppose -17 + 2 = 5*i. Let z = v - i. Calculate the remainder when z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**3 - 245*d**2 - 4570*d + 10080 = 0?\nAnswer: -16, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k**2 + 1 - 1.\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((16\/(-20))\/(2\/5))\/(48\/(-936)). Solve -150 = q*l - 384 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2 - (0 + 245\/(-56))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/9)*t*t**10 assuming t is positive.\nAnswer: t**(98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52236*l - 4924*l**2 + 2425*l**2 + 2439*l**2 + 52236*l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221\/51*(-7866)\/(-897).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 4*t**2 + 526*t + 4*t**2 - 526*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 3*f**2 + 16*f + 12.\nAnswer: -(f - 6)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*-3*sqrt(64))\/sqrt(4))\/((sqrt(224)*-2)\/sqrt(7)).\nAnswer: -3*sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 7 = 68 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(1856\/160)*(4\/10)\/(4\/(-140))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2148, -4299, -6450?\nAnswer: -8601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 621 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -1 + 2)\/(-2). Which is the closest to 1? (a) 2\/3 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232349*u**4 - 141*u**2 - 13*u - 4.\nAnswer: -5576376*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69848 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.07922?\nAnswer: 0.023766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjdffddddjfdjdf. What is prob of picking 1 f and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = 2*a - 3*w, 2*a - 19*w + 18*w = -219. Let u = a - -113. Solve -4 + 3 = -r, -r + 11 = u*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-four fifths of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5847*b + 1932*b**2 + 5847*b + 502*b**2)*(5 - 3 - 3) in the form h + a*b + g*b**2 and give g.\nAnswer: -2434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53 - 247 - 107)*(-r - 5*r - r) in the form t + h*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2692)\/20 - 4\/10. Let d = 516 + o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*s**3 - 39 + 20*s**4 + 2*s**4 - 5*s**3 - 2*s**4 with respect to s.\nAnswer: 80*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/3293 - 108653\/26344. Are p and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -65, -3 in descending order.\nAnswer: -3, -21, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvnuuuau. What is prob of sequence nva?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/6 and 4 - (135\/141 + 2).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/49 - 636\/(-21). Let q(c) = -d - 23*c - 32*c - 2 + 45*c. Is q(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4*m*y - 2096406*l**3*y**2 - 20092*l*m*y**2 - l*m*y + 2*l*y**2 + 2*m*y wrt l?\nAnswer: 12*l**2*m*y - 12578436*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156.4 less than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*((-1260)\/15)\/(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + -2.99. Let g = i - -2.8. Let t = -0.2 - 0.1. Sort -3, g, t.\nAnswer: -3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -8. Let n be ((-2)\/(-8))\/(20\/g). Let u = -206\/15 + n. Calculate the common denominator of 111\/10 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 23, -3\/8, 15, -0.5, 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 301*q**6\/60 + 39*q**5\/20 - 768*q**2 - 2. Find the third derivative of k(j) wrt j.\nAnswer: 3612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1163*a**2 - 4*a + 138. Determine b(0).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**3 + 3*i**3 - 3*i**3)*(3 - 1 - 1) - i**3 + 2*i - 2*i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*n + 11 = -5, n = -2. Suppose 49*b = 46*b + q. Solve b*p + k - 17 = -2*k, -3*p + 2*k + 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40875813 and -36824.\nAnswer: -40912637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 26 = -4*t. Suppose -2*o + t = o. What is the least common multiple of o and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -145\/3. Let q be (-3)\/(-36)*9 - 13\/(-4). Are a and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 6*n - 6. Let d be s(-5). Let p be 74\/(-12) - d\/6. Is p at least -14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/30 - 23\/((-552)\/(-16)))*(-975)\/(-11115).\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -65 - 0.24\nAnswer: -65.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2645 - 2645 - 27*z)*(1 - 3 + 0) in the form b*z + j and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -1840937.\nAnswer: -10\/1840937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 8:39 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 8\/581, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 358 = -58. What is the greatest common divisor of 435 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 6) to base 11.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 961 - 5?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + f - 110 = 0. Let h(d) = -d**2 - d + 1. Let v be h(-2). Let i be -12*((-15)\/(-2))\/v. Calculate the greatest common factor of f and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 + 141*p - 234. Let b(s) = 48*s**2 + 969*s - 1638. Let v(i) = 4*b(i) - 27*x(i). Factor v(u).\nAnswer: 3*(u - 3)*(u + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -10) + 0 + -22 + (8 - -94) + -1\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*h**3 + 374*h**3 + 232*h**3 - 969*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*-1*sqrt(17) - ((sqrt(1700) - (sqrt(1700) + 0)) + -4)**2.\nAnswer: -21 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -8*v**5\/5 - 8*v**3\/3 - 5. What is the third derivative of n(p) wrt p?\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -483\/1501 or 1?\nAnswer: -483\/1501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - 28\/(-12). What is the derivative of s - 2*z - 4 + 1 - 3 wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 38 in descending order.\nAnswer: 38, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*q + 1 = 0, 5*q = -5*h + 2 - 12. What is the second derivative of -26*p**2 - 16*p - 8*p**2 - h*p wrt p?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:28 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 45. Let m(p) = -p**3 - 5*p**2 - 3*p - 6. Calculate m(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 164970*k - 1154826. Determine w(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 3:53 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1902530 is divided by 634166?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 3, u: 6, z: 1, o: 1}. What is prob of sequence ii?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 3. Let j(u) = -u**3 - 7*u**2 - 4. Let v be j(z). Let n(c) = -c**3 - 4*c**2 - 3*c - 6. What is the units digit of n(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2645 - -21237\/8. Let y = -1\/3117 + 134041\/31170. Calculate the common denominator of n and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29963192, -29963187, -29963178, -29963165?\nAnswer: -29963148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 27 + -22 - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from {l: 6, p: 9}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 276 = -h + 815, -3*s = -3*h + 3267. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - 0)*(10 + ((-19725)\/(-2))\/(-25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 7*x**2\/2 + 11*x - 2. Let o(g) = 6. Let d(w) = w + 6. Let p(c) = 4*d(c) - 3*o(c). Calculate -5*p(j) + 3*z(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 11*f + 104. What is t(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*n - 156 = -3*n, -3*n + 252 = 3*a. Let l = 230 - a. Calculate the highest common factor of l and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*v + 40 = 0. Suppose 90 = -v*z + 14*z. Let g = 7 - 1. What is the smallest common multiple of z and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132197274 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -8, -5, 36, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -0.074161.\nAnswer: 2.074161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyp when four letters picked without replacement from yyypyyypyyypyyppyyyy.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j**3 - 1\/108*j**4 + 0 + 20*j**2 + 1\/135*j**5 - 1\/540*j**6 + 0*j. Suppose h(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0545 in -31, -15, -69?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(840\/14)\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 3067085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45017181?\nAnswer: 3, 11, 151573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q + 6*q**2 - 3 - 351*q**3 - 5*q + 352*q**3. Let f be 31\/(-5) - (-4)\/20. What is h(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -94. Which is the nearest to r? (a) -4 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 25 = -37. Suppose -3 = -u*y - 0, 3*x + 4*y - 49 = 0. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a3 (base 12) to base 14.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2. Let w(c) = 59*c**2 - 37*c**2 + 212*c**2 - 29*c**2 + 218*c**2. Give w(g(k)).\nAnswer: 3807*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 8*d**2 - 7*d + 2. Let r be h(-7). Suppose 0 = r*a + 2 - 0. Let z be 1224\/176 - (3 - (-16)\/4). Do z and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + g**2 - 3*g**2 - 3*g**2 to the form w + r*g + q*g**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35, -38, -41?\n\"Answer: -3*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8525084 is divided by 1103?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16\/7 + 279\/70. Let l = n - 6\/5. What is the closest to 4\/7 in l, 2\/9, 8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = -24. Let v(r) = -r**2 - 4*r + 4. Let h(s) = -2*s**2 - 9*s + 9. Let m(c) = i*v(c) - 4*h(c). Let x(z) = 2*z. What is x(m(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001923 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -809e + a?\nAnswer: -8094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + 109 - (1 + -1). What is the greatest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(7\/(-3)) + (-1 - -13). Suppose -5*c + 4 = -6*c, s + c + 17 = 0. Let y = q + s. Calculate the remainder when 3 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17872445 is divided by 4535?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 11 + 26*n**2 + 48*n + 4\/3*n**3. Factor v(c).\nAnswer: 4*(c + 1)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15258 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w + 3*w + 3 - w. Let r(q) = -2*q + 2. Suppose u - g + 30 = g, 0 = 3*u + g + 111. Let z = 44 + u. What is z*r(o) - 5*m(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -163*n**5\/20 - n**4\/12 + 779*n**3\/6 - 228*n + 2. Find the second derivative of p(o) wrt o.\nAnswer: -978*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 - 3*r**4 - 1161 + 0*r**3 + 11*r**3 + 1159 as m*r + x + t*r**4 + y*r**2 + b*r**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 253103340 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3 - 2*l - l**2 + 6*l + 4*l. Let u be b(8). Solve -c + 2*c = u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-728))\/(28 - 14 - 15)\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-275)\/99) + (-14)\/(-144).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-15)\/t)*t**(-10\/9)*t assuming t is positive.\nAnswer: t**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8446375?\nAnswer: 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -584 + 584. Which is the third biggest value? (a) 0.5 (b) -0.0486 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -18. Is 2\/5 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 2*v**2 + 4*v + 1. Let p be b(-4). Suppose 3*g = -3*c + 108, -c - 10 - 34 = -g. Let u = g - p. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - d - 10, 0 = -h + 4*d - 0 - 5. Suppose 2*t + 5*v - 4 = 0, 4*t - v + 3*v = 24. Let w = t + h. Solve 2*k - 3*k = w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 4*k + 44. Suppose 5*t = 3*w - 55, w - 6*w = -4*t - 96. Solve -32 = -4*n + 5*a - k, 4*n - 4*a - w = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y + 1. Let t be i(2). What is the highest common divisor of t and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.89985 + -0.9. What is z rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q. Let n = 17 + -13. Let b(f) be the second derivative of -11\/6*f**3 + 0 + 0*f**2 - f. What is n*b(z) + 7*k(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5241761583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 53b6 (base 16) to base 15\nAnswer: 653a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {k: 1, z: 4, c: 4, o: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 - 12*s + 6*s + 6*s.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.9 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3 + 0 - 0)\/(-1))\/13. Is 0.1 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/(10\/(-65)*36\/24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**3 + l**2 - l - 1. Let b be w(-1). Let s(v) = -4*v - b*v + 7*v. Let m(d) = 2*d. Let n(a) = m(a) - 3*s(a). Let g(j) = 2*j**2. What is g(n(u))?\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1221200202001?\nAnswer: -1221200202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 + 24765. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*a + 2*x, 59*a - 61*a + 4*x - 10 = 0. Solve 17*l = 18*l - a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1198, 25, 2058, 4901, 8554, 13017, 18290?\n\"Answer: 405*k**2 + 8*k - 1611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m + 14. Let z(y) = -2*y. Calculate h(z(v)).\nAnswer: -6*v + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.3. Let g be (20\/(-48))\/((-6)\/8). Let r = -11\/36 + g. Which is the closest to r? (a) 0 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 7. What are the prime factors of i(7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -363 + 161?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 191*r = 186*r + 78, 5*f + 3*r - 52 = 0. Suppose -1\/5*w**5 + 6\/5*w**3 - 4\/5*w**f + 0 - 8\/5*w + 1\/5*w**4 = 0. What is w?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5201 - 3.383968. Let y = 0.1322 - q. Round y to four dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*f = 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2700 and 3459780.\nAnswer: 17298900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -269355\/463 >= -582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3500 = 66*h + 74*h. Solve -6*t = -t - h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.17899 decades in years?\nAnswer: 791.7899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -433 - -434. Which is the biggest value? (a) -1\/48 (b) i (c) 3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Let i = -164 + 181. Solve h*z = 4*a - a + i, 3*a = 5*z - 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*w + 12 = 0, -w + 8 = 2*m - 3*w. Suppose -2*v = m - 11. Suppose v*s = 449 + 6. List the prime factors of s.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(208)\/sqrt(4) + -5)**2.\nAnswer: 100*sqrt(13) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35036.\nAnswer: 2, 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(228) + (sqrt(228) - sqrt(228)*-4)))\/sqrt(12) + ((-2*(sqrt(209) + sqrt(209)*4 - sqrt(209)))\/sqrt(11))**2.\nAnswer: 24*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533554322?\nAnswer: 2, 7, 23, 1657001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(76)*6 - sqrt(19) - (sqrt(19) - 2*sqrt(19))*2).\nAnswer: 4 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9433 + -9033. What is the highest common divisor of h and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 5:07 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = 0. Suppose 0 = -a + 3 - p. Solve -j - 5 + a = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -35*n**3 + 0*n - 6 + 18*n**2 + 34*n**3 + 11*n. What are the prime factors of l(14)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2799551*f*n**3 + 4686597*n**3 wrt f.\nAnswer: 2799551*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2429403*x**3 - 9108*x**2 - 2*x + 24?\nAnswer: -14576418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2533218397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -33.02. What is the third biggest value in 1, -1\/2, -5, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*g + 10533 - 8707 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*(-105)\/(-15)*13920\/(-2030)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f - 3*c = 27*f + 24, -5*c = -4*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-3 + 8 + 2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkxekou. What is prob of picking 2 k, 1 e, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -440 (b) -27 (c) -1\/2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*c, -43*t - 22 = -38*t - 2*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22852153.\nAnswer: 22852153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/13 and -121\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1 - 3*q - 3*q + 29 + 8*q + 7. Let u(i) = -3*i. Determine r(u(g)).\nAnswer: -6*g + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 36*v. Let m(o) = 93*o**2 - 1. Give d(m(y)).\nAnswer: 3348*y**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*u - 4 + 9, -4*u = -20. Put 0.4, -0.3, -5.5, p in decreasing order.\nAnswer: p, 0.4, -0.3, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.342 - 39.342. Which is the nearest to -0.5? (a) -0.09 (b) p (c) -2\/7 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -b - 7. Solve -5*f - 5*t = -b - 12, 3*f - 2*t + 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s + 50. What is the units digit of (s + -9)*(35 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -78 + 49 + -7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5591358 to the nearest integer?\nAnswer: 2365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -70, -130, -190, -250, -310?\n\"Answer: -60*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -33.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 280, 1341, -385, 1.\nAnswer: -385, 1, 280, 1341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:31 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzx when three letters picked without replacement from fzxhx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 997396, 1994662, 2991932, 3989212, 4986508?\n\"Answer: o**3 - 4*o**2 + 997271*o + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -1\/2 (c) 3 (d) -2 (e) 348862 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3 - 4*o**2 - 56*o + 96 = 0.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Suppose -5*x = 3*c + 8 - 32, 0 = -3*x + k*c. Suppose x*s + 12 = 7*s. Solve -2*q - q - 4*t = -4, 3*t - s = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7 = -24*n + 27*n, -3*n + 1 = 5*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 533 (b) -2 (c) -27.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 6 + (-8 - -5). Let p be (-1 + 1)\/(d - (2 - 2)). Suppose r - 93 = -2*k + 104, p = -4*k + r + 379. What is k rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 54*u + 50. Let b be o(-1). Let w(n) = -n - 1. Let i(f) = 3*f + 5. Determine b*w(g) - i(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15125793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -5. Let i be (0 - q\/4)*6. Suppose 10 = -t - 4*g, 4*g + i = -4*t - 1. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 29*y - 116. Let q be x(4). Let u be -2 + (-1)\/(928\/(-1862)). Let n = u + -1447\/80272. Is n at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21211630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/21 + 8*b**2\/3 + 442*b\/21 + 676\/21 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -180c1 (base 15) to base 10.\nAnswer: -77806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4638 + -3152. Let f = z + -920. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 times -0.4?\nAnswer: -360.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j*(j*j**(2\/3)*j)\/j)\/j)*j*j*j)\/j)**(-24)*j**(1\/2)*j*j**(2\/17)*j assuming j is positive.\nAnswer: j**(-1815\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 2*c)*(-1 - 1 + 3)*(0*c + 0*c + 5*c)*(-3 + 14 - 4).\nAnswer: 70*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*w + 7 - 33, -w = 2*o + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/2 (b) -2 (c) 81 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and -3449591.\nAnswer: 275967.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/((-714)\/(-799)) + 2\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 690 + -693. What is the fourth biggest value in -2\/3, -5, -2, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 25 = 3*x + 2*z, -4*x + z + 27 = 0. Suppose 0 = -x*c + 13 - 34. Is (-1)\/c*(399 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:41 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2207 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -84. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjnjfjfjfnfjjj. Give prob of sequence njj.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49122, 49118, 49114, 49110, 49106?\n\"Answer: -4*k + 49126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 8. Let q be a(-8). Let j be (q\/(-20))\/(3\/10). Let r = 1 + j. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 5*a**3\/3 - a**2\/2 - 7*a - 24. What is the units digit of v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 576 = -10*s. Suppose 3*o - 1383 = -s. List the prime factors of o.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25489, 50975, 76461?\n\"Answer: 25486*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13*o. Let j(w) = 12870*w. Give g(j(a)).\nAnswer: -167310*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)\/d)\/d)\/d)**(1\/21)\/(d**(1\/4))**(10\/13) assuming d is positive.\nAnswer: d**(-209\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -73. Let z = t - -130. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20*s + 24 = 17*s, -3*s - 16 = -2*h. Let j be h\/1 + (-28 - -23). Solve 0 = -3*r + m - 6*m - 32, -j*m = -4*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 18 + (-2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**2\/5 - 26*k\/5 + 4.\nAnswer: 2*(k - 2)*(4*k - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -63544\nAnswer: 11\/63544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 - 1. Let m(b) = 15*b**2 - 10*b**2 - 4*b**2. Calculate m(h(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 25*i + 5. Let q(t) = -t**2 + 26*t - 4. Let n(p) = 4*k(p) + 3*q(p). Let m be n(22). Which is the closest to 1? (a) m (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 628314 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 + 4*j**3 - 2*j**3 + (j + j**2 - j)*(855 - 855 - 331*j).\nAnswer: -332*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*k + 30 + 34 = 0, -3*c = -3*k - 99. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5967655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1 + 5 - 5 - 7*j + (0 - 2*j + 0)*(1 - 2 + 3) - 17 + 17 - 5*j)*(-4*j**2 + 5*j**2 + j**2).\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1428984*g + 23. Let z be t(-4). Let j = z - -8305913. Round j to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190800 and 2490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 152b + 4?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 466 and 20.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2808403 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -54, -109, -200, -339, -538, -809?\n\"Answer: -2*u**3 - 17*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*q**2 + 13 - 9*q**2 - 13*q**2 + 8*q**4 wrt q.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - x + 4 - 11)*(-3 - 3*x**2 + 3).\nAnswer: 3*x**3 - 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-22)*8071\/(-4612).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + r = 0, -2*r = -5*x - 5*r - 1. Suppose 5 + x = -3*s. Which is the second smallest value? (a) 4 (b) 3\/8 (c) 0 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 + 677*j + 8*j**2 + 678*j - 1355*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74116*c + 46 - 46 - 74126*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -353219377 equal to -353219379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9794 by 2.\nAnswer: 4897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7bf24b (base 16) in base 8?\nAnswer: 36771113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -43. Let z = 1.9 + -2. What is the nearest to z in 0.5, 5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11085069761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1744 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6\/g*g**(1\/31))\/((g**(2\/55)*g)\/g*g**(-13)))**(1\/22) assuming g is positive.\nAnswer: g**(30683\/37510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1053923362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2129?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 943, -1500, -3943, -6386, -8829, -11272?\n\"Answer: -2443*j + 3386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 a when three letters picked without replacement from ettaaeaetttsa?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -316112b?\nAnswer: -3161130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2212 * 7002.\nAnswer: 15488424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -808525379 or -808525380?\nAnswer: -808525379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(476\/21)*170\/15.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-276)\/270 - 2\/9.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43.9 from 0.288899.\nAnswer: -43.611101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-156))\/(39\/169)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(13)*3 + (sqrt(13) + sqrt(468))*5.\nAnswer: 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 189 - -4?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 2. Let u(x) = -x**2 + 7*x + 11. Let w(j) = -2*j**3 - j**2 + 2*j + 1. Let p be w(-2). Let n be u(p). Is z(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eddggeyewgg. Give prob of sequence wy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/18*2*-3. Solve 0 = -0*c + c - g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3 - 262276*f**2 - 354*f - 5486 wrt f?\nAnswer: -6*f - 524552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - 26. Let h = 101.9 + y. Let u = -3.90000032 + h. Round u to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44214 + 66588 = -5663*t - 53425 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**4 - 9581514*l**3 + 1457*l**2 - 25664*l wrt l.\nAnswer: 48*l - 57489084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28aa623 (base 11) in base 14?\nAnswer: 93d357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166301187 is divided by 678.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 - -98. Solve r*t = t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 7*v**2 + 7*v + 6. Let r be k(-6). Suppose r = c + 5*x - 100, 388 = 7*c - 2*c - 3*x. 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: Let g(n) = -798 + 394 + 6*n + 400. What is g(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 504 - 502. Suppose 5*o = -3*s + 26797, -a*o + 17870 = 10*s - 8*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r**2 - 2*r - 2. Give c(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662292 plus 0.19095?\nAnswer: 662292.19095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339239, 678559, 1017879, 1357199?\nAnswer: 1696519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(((n**6*n)\/n)\/n)\/n*n**3)**(-2\/81) assuming n is positive.\nAnswer: n**(-16\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*o**2 - 580*o**2 + 276*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 3 - n**2 - 4*n - 75*n**3 + 57*n**3 + 874*n**3 - n**4 + 90*n**3 in the form j*n**2 + l*n**4 + o*n + b + g*n**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 23 + 7 = 0. Let n(u) = 78*u - 1184. Let s be n(16). What is the highest common divisor of m and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 773 + -142633?\nAnswer: -141640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5484)\/(-4570)*(50\/(-39) - (8 + -8)).\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4590502 divided by 4590502?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 z when three letters picked without replacement from {g: 1, z: 2, c: 1, l: 1, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*i = -733*i + 59*i - 11284 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34839319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 6*r + 0*r - 4*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 665*k**2 - 46552*k + 85. What is p(70)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -85 in descending order.\nAnswer: 5, 0, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 571372 (base 12) to base 14\nAnswer: 2831b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, n: 1, b: 2, z: 11, t: 1}. Give prob of picking 3 z and 1 t.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.258 - -0.685. Let v = -0.033 - m. Let y = v - 0.04. What is the biggest value in -0.5, 3\/4, y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-4*(-3*sqrt(2) - sqrt(2))).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*h + 108, 63*y + 2*h = 60*y + 102. What is the remainder when 1781 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.592823287 rounded to 3 decimal places?\nAnswer: -1.593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 356720107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60605 + -32435. Is j a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 + 5*k**3 - 9*k**3 - 3*k**2 as y*k**3 + i + w*k**2 + r*k and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -2.37. Suppose 0 + 3 = 3*m - c, 3*m + c + 3 = 0. Put k, m, -5 in increasing order.\nAnswer: -5, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-5))\/(-3))\/(-39*(-518)\/(-3848))?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 8. Let z be l(6). Let j(d) = d + 10. Let v be j(-4). Suppose 0*f - q = -2*f + 26, -f + v = -4*q. Solve g = 2*a + 3*g + 6, -2*g - f = -z*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171 - 177. Let a(c) be the second derivative of -c**4\/6 - 3*c**3\/2 - 4*c**2 - 16*c - 26. Give a(v).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 10*z + 8. Let s be x(-6). Let w be (0 + 58)\/(s\/(-90)). What is w rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**4 - c**2 + 2*c. Let h(u) = 2103*u**4 - u**3 + 11*u**2 - 3713*u. Let a(n) = h(n) + 11*x(n). Find the second derivative of a(l) wrt l.\nAnswer: 24576*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 126. Differentiate 6 - b + 23*b**m + 9 + 22 + 3 wrt b.\nAnswer: 46*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 3*u - 4. Let z = 63 + -62. Let h be p(z). Factor 0*m + h + 3\/7*m**2.\nAnswer: 3*m**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (242 + 2*z**2 - 24*z**3 - 242)*(5*z**2 - 2*z**2 - 4*z**2).\nAnswer: 24*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 50.491.\nAnswer: 403.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 12*a + 31. Let u be b(3). Let v(w) = 0*w - 3*w + 6 + 16*w - u*w**3 - 7*w. Let r(f) = f + 1. Give -6*r(q) + v(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 430, -4\/5, 0.5 in increasing order.\nAnswer: -4\/5, 0.5, 430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*n + 165, -3*p - 2*n - 3*n = -59. Let z = 22 + -8. Let d be (-4)\/z - 60\/(-14). Calculate the greatest common divisor of p and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 49*o**2 - 201*o - 51. What is n(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10958347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**4 - 5*g**4 + 16*g**2 - 7*g**4 + 0*g**2 wrt g?\nAnswer: -432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/13)*y*y**6)**(-36))**47 assuming y is positive.\nAnswer: y**(-150588\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 43461961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.0272, -1\/2, -163\/7, 1\/10, -1\/5?\nAnswer: -163\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -12221020220?\nAnswer: 12221020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 63 = 2*l + 35, 3*l - 22 = g. What is the smallest common multiple of l and 1094?\nAnswer: 9846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, 15, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t + 67*t - 26 = -5*p, 2*p - 5*t = -16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(-1 + 5 - 5) + 0 + 1 + 1)*(4*l**2 + 467*l - 467*l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -975, 22, 243, -4.\nAnswer: -975, -4, -2, 22, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97162950 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1)\/(7\/(-98)*-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:12 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 9. Let x be k(6). Suppose -5 + 67 = 3*t + 4*s, 2*t = -x*s + 42. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*u + 140, 4*d = -3*u - 2*u + 95. Suppose -2*j + 108 = 4*g, -4*g + 300 = 5*j + d. Let o be (j*(-2)\/(-8))\/12. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05334480472 rounded to four dps?\nAnswer: 0.0533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2 + 6*u - 4. Let w(i) = -i**3 - 5*i**2 - 5*i - 4. Let n be w(-3). Let j be h(n). Is 1436\/j - 4\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 45 = 9*f. Let o be (-14 - 0)*3\/(-2). Let b = o - 15. Solve 3*d + x = f, 5*d - 3*d = -5*x + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*g - 11 - 4 = 0, 0 = -2*s + 4*g - 30. Which is greater: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 + 149 - ((25 - (0 + 0)) + -4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 17. Does 11 divide (12*1)\/(s\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 73 + 8 + 3*k + 3*k**2 + 1 - k**2 as m*k**2 + a*k + g and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/(f*f**(-2\/13))*(f*f\/f**(-2\/5))\/(f**(-2\/23)\/f*f*f))**(1\/13) assuming f is positive.\nAnswer: f**(-11002\/19435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5\/8 - 81*m**4\/8 - 57*m**3 + 471*m**2\/2 + 1008*m - 1176 = 0. What is m?\nAnswer: -14, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 9*m - 6. Let k be c(8). Suppose 0 = k*l - 11 + 17. Is 49 + (-12)\/(-4) + l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 - d**3 - 5*d + 2 + 5*d + 6*d. Let c be f(-5). Let z = -95.3 + 95. What is the second smallest value in -0.5, c, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(1700) + 2 - (sqrt(51)\/(sqrt(3) + sqrt(108)) + 3*sqrt(425))**2.\nAnswer: -190816\/49 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*j + 489*j = 221*j - 11156 - 40940 for j.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*775.39179.\nAnswer: 232.617537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -76.2, 4\/7 in ascending order.\nAnswer: -76.2, 4\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 11:29 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333, -695, -1077, -1491, -1949, -2463?\nAnswer: -3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 26*p - 28*p - 3)*(-74*p + 183*p + 125*p) as v*p + h + c*p**2 and give v.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/260)\/(599\/(-4792))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 26*x = -23*x, -4*x - 6 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 200 = 77. Let o = g + -76. Let z be ((-4)\/7)\/(10\/o). Solve 4*r + 4*h - z*h = 16, 5*h = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(((h**(-5)*h)\/h*h)\/h))\/(h\/(h*h*h**(-13))))\/(h*h\/h**12*h*h**(-2\/3)*h*h))**43 assuming h is positive.\nAnswer: h**(215\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.47 + 0.53. Let w = 4.6 - 5. Sort -1\/4, g, w in increasing order.\nAnswer: w, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-8 - -3 - -2 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 72, -9, -3 in ascending order.\nAnswer: -9, -3, -1, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(-2*v - v + v) + 4 + 3*v - 4 + v + 0*v - 2*v)*(-3*v + 3*v - 7*v**2).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1603 and -69.0521459?\nAnswer: 1533.9478541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 40*d**2 + 82*d - 16. Calculate t(4).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1277 and 850069792848.\nAnswer: 850069791571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3978039965 to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 41589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 113185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1, -1 in decreasing order.\nAnswer: 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11 - 18 + 59 + 2*k**2 - 10*k - 32*k**3 - 296*k**4 + 32*k**3 wrt k?\nAnswer: -3552*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2. Suppose 2*v + 0 = -4. Let p be l(v). Let m(u) = 2*u**2 + 18*u + 18. Let g be m(-8). Put g, p, 0 in increasing order.\nAnswer: 0, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2882854532?\nAnswer: 2, 241, 2990513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209 - 209.00000319. Round i to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 2)*9\/(-6 - 3). Let k(m) = m**2 + 8*m - 2. Let v(z) = z**2 + 8*z - 3. Let p(a) = -4*k(a) + 5*v(a). What is p(h)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -130*j. Let r(t) = -30*t - 28*t + 69*t - 20*t. What is r(l(h))?\nAnswer: 1170*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 607900?\nAnswer: -607900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084982?\nAnswer: 2, 3, 17, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146470236*h**5 + 23899*h**2 - 9*h + 1.\nAnswer: -8788214160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 = -q + y, 8 = -q - 2*y. Solve -q*x + 2*j = j, 4*x = 4*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 128, -3 in decreasing order.\nAnswer: 128, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80900*m**3 + 40250.\nAnswer: -242700*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 minus -5?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0104 and -8.\nAnswer: -0.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 461 * -1.\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/50)\/((-2)\/10). Suppose 3*y - 284988 = 5*d, -4*d + 4*y - 113984 = -s*d. What is d rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 - 8*u**3 + 6*u**2 + 8*u - 8 = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274 (base 8) in base 6?\nAnswer: 11552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c + 16*c - 28*c + 1. Let w(r) = -5*r - 85. Let n(b) = -4*d(b) - w(b). What is the units digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/45*9\/6*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 10*g**2 - 11*g - 34. Determine r(11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8063 - 8061. Which is the fourth biggest value? (a) -2\/7 (b) -0.4 (c) 0 (d) 5 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:20 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q - 15. Let n be d(-7). Let o be 2 + (-1)\/(-1)*-1. Let s be (n + (0 - o))\/(-1). Sort 1, 5, s.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49621208 divided by -14?\nAnswer: 3544372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 196*u**2 + 880*u + 110. Let l(g) = 39*g**2 + 176*g + 20. Calculate 11*l(z) - 2*m(z).\nAnswer: 37*z**2 + 176*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/2 - (282\/(-6) - -59). Solve 41*q = -s*q - 368 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 884 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.232 + -0.332. Let h = -9 + -14. Let o = h + s. What is o rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*g + 149 = 0, -3*u = -4*g - 343 + 119. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5537 or -128?\nAnswer: -5537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209976?\nAnswer: 2, 3, 13, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408\/(-16) + 28 + -3 - ((-393)\/6 - -5).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4502120 divided by 28?\nAnswer: -160790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - a - 16. List the prime factors of 15\/10 - (-294)\/a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 916 (b) -3 (c) -48 (d) -0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148 - 299 + 666 + (-2 + 0 + 3)*(2 - 4 + 1))*((0 + 0 + f)*(5 - 1 - 2) + 2*f + 5*f - 4*f).\nAnswer: 1090*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/3*(0 + (-9)\/(-6)). Let o be z\/4 - ((-6)\/(-4) + -2). Suppose 0*t + 2\/5*t**4 + 2\/5*t**o + 0 + 0*t**2 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(2\/24)\/(1\/2). Let n = -1.59 + -0.01. Let s = n - 0.4. Which is the second smallest value? (a) i (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/302 + 146652\/9060. Factor p + 54\/5*u**2 - 108\/5*u + 1\/5*u**4 - 12\/5*u**3.\nAnswer: (u - 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7191 divided by 423?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -9*q**2\/2 - 6. Let n(w) = 5*w + 3. Let y(f) = -11*f - 7. Let b(m) = -7*n(m) - 3*y(m). Give h(b(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + -99. Let o be (-18)\/w*8\/(-15). Suppose 0 - 8\/5*r**4 - o*r + 2\/5*r**3 + 8\/5*r**2 = 0. Calculate r.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 870500 (base 9) to base 15\nAnswer: a3a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrii. What is prob of picking 3 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 - -1200\/13. Factor -2\/13*w**3 + s*w**2 + 0 + 0*w.\nAnswer: -2*w**2*(w - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95999589659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3) + 104\/66?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528983656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*q - 3*a, -5*q = 4*a - 11 - 36. What is the remainder when q + 2076\/18 - 2\/(-3) is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 534665.8 millennia?\nAnswer: 6415989600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.4, 0.32, -0.3, 433?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/28 - 40\/(-280)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 9:30 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00153275174 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/31? (a) -5 (b) 0.0039 (c) -0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*f**3\/2 - 219*f**2 - 531*f\/2 - 41.\nAnswer: (f - 41)*(f + 1)*(11*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) -147458 (c) -2\/21 (d) 1 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14204 (base 5) to base 14\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(105\/25 + -4). Suppose 17 = -o*t + 27. Suppose -28 = y + 5*f, t*y + f + 4*f = -31. Is -1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 1:16 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2301*-8.\nAnswer: 18408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -471, -467, -461, -453?\n\"Answer: s**2 + s - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*l + 4*n, -2*n = 4*l - 0*n - 38. Suppose -3*y - 13 = 5*h, 4*y + 5*h + l + 0 = 0. Let k be 0\/y*3\/(-6). Put -1, -2\/3, k in ascending order.\nAnswer: -1, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -355.5204 and 3563.54.\nAnswer: 3208.0196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x + 6. Let u be ((-5)\/15)\/(2\/(-12)). Let v be (55\/u)\/(1\/10). Suppose 0 = 35*d - 30*d - v. Let r(l) = 100*l + 55. Give d*o(p) - 6*r(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21798)\/36*8\/(-7). Is 692 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:58 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - g**2 - g + 1. Let n(x) = 5*x**4 + 5*x**3 + 8*x**2 + 5*x - 5. Let u(l) = -10*d(l) - 2*n(l). Find the third derivative of u(o) wrt o.\nAnswer: -240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7 + 6*f + f - 7. Let m(w) = 7*w**2. Determine h(m(x)).\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 182983762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1050, 1053, 1056, 1059, 1062?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36801 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -5\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59077 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -105 - -15) + 36?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 29*b**2 + 53*b + 41. Let m be o(27). Suppose -107 = m*d - 9. Let n(q) = -q**2 - 7*q + 9. What is n(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.8 - 22. Let o = -0.4 - c. What is the closest to -1 in 4, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -120. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 + 10 - (-11 + -8 + 12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 157 and 252.3202.\nAnswer: 39614.2714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 28*m - 24.\nAnswer: -4*(m - 6)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*m - 4, -u - 5*m = -5*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35850c + -6?\nAnswer: 358506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = 0. Let q(h) be the second derivative of -1\/20*h**5 + m*h**4 - 2*h + 0*h**2 + 1\/30*h**6 + 0*h**3 + 0. Factor q(a).\nAnswer: a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-8))\/(8\/(-256)*12)*1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.5 (b) 76 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9759357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 42 + 253*o**3 + 19.\nAnswer: 253*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 30. Suppose 4*s = k + 13, 22 = 2*k - 2*s + 6*s. Suppose -8 = x - p*x + k*t, -4*x = 2*t - 8. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31872477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*p**2 + (-5*p + p + 2*p)*(2 - p - 2) + 0*p**2 + 2*p**2 + 0*p**2)*(-2*p - p**2 + 2*p) + 0*p**4 + 3*p**4 - 4*p**4.\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 3*z. Suppose -95 = -7*p + 4*p - 4*o, -2*p + 5*o + 71 = z. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from gcccgcc?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 156821 or 156370?\nAnswer: 156821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299502 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339659, 339665, 339673, 339683, 339695?\nAnswer: 339709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/33 - 26\/(-143). Let m(u) = -4*u + 1. Determine m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/(-3040)*-2*(-10)\/(-48)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**3\/3 + z - 7. Let k(v) = v**2 - 2. Let l(x) = -7*k(x) - 6*o(x). Differentiate l(c) wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10056.2 rounded to the nearest one hundred?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 8:17 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 86 = 74 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -5, -1, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.1 - -32.1. What is the fourth smallest value in p, -4, -1\/5, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 447342 and 420?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2. Let t(n) = -n**3 + 38*n**2 + 39*n + 10. Let m be t(39). Let b(a) = -m*a - 6*a + 27*a - 9*a. Determine b(j(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*k - 404*k + 320 = 0. Suppose 3*n = n - p + 5, 0 = 2*n + 4*p - 20. Put 4, n, k in decreasing order.\nAnswer: k, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*j + 23*j**6 - 71*j**2 + 0*j - 109*j**6 + 7*j**6 wrt j?\nAnswer: -9480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 8*b**2 + 462*b - 3207. Give s(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6\/((-12)\/(-4))*1 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 4. Let q = 31469 + -31469. Solve -2 + q = -i*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 3. Solve -3*h + 0*h - u = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 9*f + 2. Which is the nearest to f? (a) 4\/3 (b) 0 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoeaaxaoolyoexeaoay. What is prob of picking 2 o?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) - (3*(sqrt(132) - sqrt(132)*-2) - sqrt(132))) - (4*3*sqrt(132) - sqrt(132)))\/((sqrt(84)*-1*-2 - sqrt(84))\/(3*sqrt(63))))**2.\nAnswer: 257499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 1.22 (c) 580 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 16 in ascending order.\nAnswer: -8, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-2 - -4))\/(-1). Suppose h = -6*l - 6. Put l, 1, 3 in descending order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 9*h**3 + 2 - 7 + 4*h + 9*h**3. What are the prime factors of g(4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43010164 plus 4?\nAnswer: -43010160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 2, z: 1, u: 11}. What is prob of sequence uuzu?\nAnswer: 33\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.96 + 21. Let z = d - 0.0472. Round z to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, h: 1, r: 5}. What is prob of picking 1 h and 3 m?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117514 is divided by 4995?\nAnswer: 3629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**2\/2 - 28*k - 1136. Let d(q) = 7. Calculate 9*d(l) + 2*f(l).\nAnswer: -2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {t: 9, b: 3}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-19)\/1140*222\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 142. Let b be p(0). Suppose -390 = -4*z - b. Suppose -17 = -k - w, k = -3*k - w + z. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1313377, -1313352, -1313301, -1313224, -1313121, -1312992?\n\"Answer: 13*d**2 - 14*d - 1313376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 7*a**2 - 8*a + 3. Let s be y(-8). Suppose s*h - 6 = -2*l + 4, -h - 4*l = -20. Let g be -3 + -79*23 - h. Round g to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/6 - 25*u**3\/3 + 84*u**2 - 1229*u. Factor n(s).\nAnswer: 2*(s - 21)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3 - 870*n**2 + 126150*n - 6097250 = 0. Calculate n.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o**2. Let x(w) be the third derivative of w**5\/30 - 9*w**2. Determine z(x(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 11*k + 23600000. Round k to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 402247*o**5 - 317471*o.\nAnswer: 8044940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*u + 3*d - d, -11 = -5*u + 4*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.096, 0.12, 0.3, 984\/13?\nAnswer: 984\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 1084*r\/5 + 654\/5.\nAnswer: -2*(r + 109)*(5*r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(98)*-4)**2 - (sqrt(2) + sqrt(432)\/sqrt(6))*1) + 5.\nAnswer: -7*sqrt(2) + 25093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -1 (c) -29\/27 (d) 4 (e) 52 (f) 0.2 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234646143, 234646146, 234646149, 234646152?\nAnswer: 234646155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -626 + 625. Let l = 640\/11 - 58. What is the closest to g in -1\/6, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(3)*-1)\/(4*sqrt(486)).\nAnswer: -sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595377689 to the power of 1\/3, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2357 - -2356.6. Which is the smallest value? (a) x (b) 19 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) + (-9712)\/(-64). Let g = b + -97. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a. Suppose 58*u = -457*u. Solve a = -2*p + 5*k, u*k - k = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 24945214?\nAnswer: 74835642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 9*w**2 + 6. Let g be o(-9). Let x = g - 1. Suppose x*q = q. Solve 0*m + 2*m + 4*n + 4 = 0, q = 2*m + 3*n + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 279362, 558727, 838090, 1117451?\n\"Answer: -y**2 + 279368*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 39 = -63*d. Which is the nearest to d? (a) 4\/7 (b) 2 (c) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b + 17. Let c be t(-9). Let y = -59 + c. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 5) to base 11\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*j + 146776, -26*i + 30*i - 117427 = 3*j. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9621849019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 2*a**2. Let r = 6 - -15. Let p(f) = r*f - 26*f + 8*f + 8. Let d be p(-2). Determine v(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1113 + 1293. Is 178 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 greater than -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 188. Calculate the remainder when u is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/112*(-715400)\/(-293825)\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.176 - -116.176. Let v = t - 107. Is -0.3 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2\/3, 0.05 in decreasing order.\nAnswer: 2\/3, 0.05, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -87 - (-60 - 26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55806561667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 + 529192*x - 5821354 = 0.\nAnswer: -264607, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -17*y + 18. Let r be -1*6*((-25)\/5 - -6). Does 20 divide h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65812\/19 - -3464. Let u = 4 + -4. Is y at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 39 = -49 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/19 + 16\/171. Let k(i) = 31*i**2 - 3*i - 8. Let a be k(2). Let o = a - 111. What is the closest to 0 in o, z, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*i**4 + 8*i**3*k**2 - i**2*k**2 + i**2*k - 15*k**2 wrt i.\nAnswer: 288*i + 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*i - 17 + 1 = 0, 3*o - 2*i - 17 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18526 - 555859\/30. Let l = -653234607367\/2370 + 275626411. Let f = -51\/158 + l. What is the common denominator of f and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5180166482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/7*p**2 - 765\/7 + 96\/7*p = 0.\nAnswer: 15, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/939733 and 49\/2876?\nAnswer: 3758932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxr when three letters picked without replacement from {m: 1, r: 1, x: 3, c: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 136 = 5*g. Let h be g\/(-72) - 3\/12. Which is the third smallest value? (a) -5 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1))**(-12\/5))**(37\/2))**(-39) assuming h is positive.\nAnswer: h**(-8658\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 164*(-2)\/(3 - 5). Suppose -44 = -2*n + l. Suppose 5*c - n = -34. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60 + h - 4*h - 4*h - 9*h + 5*h**2 - 19*h.\nAnswer: 5*(h - 4)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = -7. Let v(j) = -28 + 2*j**t - j**3 + 37 + j. Determine v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -38, 637, 1942, 4087, 7282, 11737?\nAnswer: 17662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -19. Let q be ((-10)\/k)\/((-6)\/10). Let t = -7.1 - -7.11. What is the third smallest value in t, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.003123372019 to 7 dps.\nAnswer: 0.0031234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-1)\/(-6)*74 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 3009502533577.1?\nAnswer: -3009502533577.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -19, -22, -23?\n\"Answer: h**2 - 8*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1))\/(-8 - -7). Let a be (0 - (-1 - o))*5. Suppose -4*l = -37 - 19. Solve -c - s - 2*s + l = 0, 4*s = -a*c + 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -84.9?\nAnswer: -509.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + b = 5*p - 16209, -16225 = -5*p + 5*b. Let j = -19325\/6 + p. What is the common denominator of j and (-71)\/(-12) + 2\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32992988 and 2716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u - 10 = 0. Factor 10*z - 21*z**u - 1 - 4 + 16*z**2.\nAnswer: -5*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*f**3*u**3 - 208*f**3*u - 80*f**3*z + 2*f**3 - 88*f**2*u**3*z + 2*f**2*u**2 - 2*z wrt z.\nAnswer: -80*f**3 - 88*f**2*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.003, -2, -4, 4\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.58 + -1.5. Let g = h + 0.28. Let u = g + -0.36000007. Round u to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3815 and 30520.\nAnswer: 30520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-102)\/(-8))\/(15\/40). Suppose 2*a + 0*a + v = 0. What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 10*o**2 - 6*o**2.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72428 + -72471 + 161 + 0 + -2.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 3:06 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 3*y**2 - 2*y**2 + (-y - 2 + 2 + (-2*y + 0 + 0)*(2 + 2 - 5))*(4*y - y - 2*y) - 7*y**2 + 7*y**2 - 9*y**2 in the form m*y**2 + i + u*y and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 5, b: 8}. What is prob of sequence sb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5167110 to the nearest one thousand.\nAnswer: -5167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*b + 48*b + b**2 + 35*b - 5*b**4)*(8 + 6*b - 8).\nAnswer: -30*b**5 + 6*b**3 + 108*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 196875*r**3 + r**2 - 3*r - 4. Let p be -2*4\/28*-14. Let g be v(p). Round g to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -150 - 10703666?\nAnswer: -10704036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29113 + 29068.137. Round z to one dp.\nAnswer: -44.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*m - 236*m + 3*z + 2485 = 0, 2*z - 30 = -2*m + 6*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63*w**3\/5 + 86840202*w**2\/5 + 29925474767136*w\/5 - 2850046003584\/5.\nAnswer: 3*(w + 689208)**2*(21*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -39\/2. What is the biggest value in -3, -2\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4 - 5 + 0. Let r(y) = -y - 1. Let f be (5 + 80\/(-15))\/(2\/12). Determine f*t(q) - r(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p**4\/3 - 240880*p**3 - 361298*p**2\/3 + 105382*p - 45164\/3 = 0. Calculate p.\nAnswer: -22582, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 37\/13 (b) -2 (c) 2\/5 (d) -4 (e) -17 (f) 1.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -3*n**2 + 7*n - 24. Let t(m) = -5*m + 6. What is 4*o(z) - 5*t(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 3010?\nAnswer: -3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, j: 15}. What is prob of picking 4 j?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1637 - -1645. Solve t + 7 = n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 5:31 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 19*v + 12. Give q(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 667 by 14.\nAnswer: 667\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 16 = -4*s, -3*r = 2*s - 10. Suppose -9*i + 14*i = -w + 937, r*w + 2*i - 3820 = 0. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 - 47.5. Let w = 117 + t. Let k = w - 68.0027. What is k rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 1. Let v be q\/((3\/(-3))\/(-1)). Let p = 18 - v. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37087 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 6*o**2 - o + 5. Let k be j(6). Let p = 592 - 590. Sort p, k, -4 in decreasing order.\nAnswer: p, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34802\/24 + (-50)\/600. Calculate the greatest common factor of 50 and o.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*c - 32, -7*f + 9*f - c = 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/3858 and -71\/521673?\nAnswer: 670871478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 20*z**2 + 276*z - 28. Let l(k) = 38*k**2 + 553*k - 55. Let t(n) = 5*f(n) - 3*l(n). Let j be t(-20). Solve -2*h - 2 = -2*b, b = -0*h + j*h + 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Suppose -o + 0 = 5*q + 29, r*o + 11 = q. Let x be 6\/9*6\/o. Which is the closest to -1\/4? (a) -5 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r + 5*d - 750 = 0, -4*d = -5*r + 999. Calculate the remainder when 582 is divided by r.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*v - 148*v - 13290 + v**2 + 78*v - 5538.\nAnswer: v**2 + 3*v - 18828","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 11:53 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5544, -5546, -5548?\n\"Answer: -2*y - 5542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3343396 greater than or equal to -3343399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1570359\/8 or -196294?\nAnswer: -196294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 4*i - 8. Give t(11).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1270, 1786, 2302?\n\"Answer: 516*r + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 39875332.\nAnswer: 119625996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*s + 102*s + 261 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s + 0*s)*(-16*s + 10*s + 71 + 7*s).\nAnswer: s**2 + 71*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 14. Let m be d(-6). Let p = m + 29. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a - 29*a + 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 0, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51050082 to the nearest integer?\nAnswer: 7145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose 2*i - 4 = -2*f, 2*i + 9 = 2*f - t. What is the second derivative of 3*h + 17*h**2 - 17*h**2 + 4*h**f wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 11:08 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -28*o**2 - 306*o - 2036. Calculate l(-7).\nAnswer: -1266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x**2 + 4*x + 1. Suppose 2*y = 5*y + 9. Let w(q) = 5*q**2 - 3*q - 2. Let c(v) = y*a(v) - 4*w(v). Find the first derivative of c(m) wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 + 21*z + 272. What is the hundreds digit of v(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 339 - 211. Let d = j + -50. Suppose -d*h = -2*c - 58, h + 5*c - 12 = 5. Solve 0 = -4*s - 4 + h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c + 410000. Let t(q) = -q. Let g(p) = r(p) - 6*t(p). Let l = 56 + -56. Let u be g(l). What is u rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*d - 3. Suppose -6*c - 4*k + 32 = -4*c, 3*k = 2*c - 11. Let q = c - 7. Solve 0 = -d*a - q + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2) + -5 + (-532)\/(-95). Which is the second biggest value? (a) -0.7 (b) 5\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2319, -5987, -12097, -20649, -31643, -45079, -60957?\n\"Answer: -1221*g**2 - 5*g - 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021*a + 5065 = 27527 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12.6 - 25\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, e: 1, o: 4, w: 2, s: 7, j: 1}. Give prob of picking 1 j and 2 s.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-16\/5)\/(k\/k**(-2\/3)*k**6)*((k\/k**(-2\/7))**26)**41 assuming k is positive.\nAnswer: k**(142769\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + k**2)*(-4 + 0 + 2) - 2*k**2 + 0*k + 0*k - 143 + 143 + 5*k**2 in the form j*k**2 + a*k + r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495120 is divided by 392.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i - 3. Let w(s) = 11*s + 4. Let n(m) = 7*c(m) + 5*w(m). Let j(k) = k + 3. What is -2*j(t) - 5*n(t)?\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1467, 8110, 1, -3 in ascending order.\nAnswer: -3, 1, 1467, 8110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8800 and 700800.\nAnswer: 7708800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23125 + -114103?\nAnswer: -50534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = 4*a. Solve 3*o = -8 - a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-480))\/((-12383)\/(-610))\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499067 is divided by 130?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -52, -0.4, -4, -1\/2, 4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-16)\/42?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 8. Let q be v(4). Solve q = -8*d + 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 x when four letters picked without replacement from {x: 14, o: 5}?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -96 - 355a45?\nAnswer: -355adb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -76342608 divided by -4771413\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(1\/2))**(-1\/15)*(k\/k**(2\/3))\/k**2 assuming k is positive.\nAnswer: k**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -970 (base 10) in base 6?\nAnswer: -4254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7.7. Let l = -0.7 - r. Let n = -6 + 8. Which is the nearest to n? (a) -1\/6 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0103 and -0.654.\nAnswer: -0.6643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 11:06 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2425 - -2?\nAnswer: -2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3576009)\/6 - 3*(-2)\/4. What is m rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3723 * 64.604\nAnswer: 24.0520692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -57. Let k(i) = -i**2 + 1. Determine 228*k(a) + 4*v(a).\nAnswer: -228*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1180, 1200, 1244, 1324, 1452, 1640, 1900?\n\"Answer: 2*k**3 + 6*k + 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504108.6kg in grams?\nAnswer: 504108600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26688105905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 3*f**3\/2 - 55*f**2\/2 - f - 51. Let q be x(6). Sort 32, -4, q, 1 in increasing order.\nAnswer: -4, q, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*3)\/(sqrt(80)*3).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 20. Suppose 2*i = -0*i + t. Suppose i*s - 34 = 10. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*u - 23*u + 406. Suppose u = z + 36. Suppose -4*b - 3*x + z = -2*x, 4*b + 2*x = 170. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 954833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 + -41. Let t = -108.74 + a. What is t rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/12 and -109\/4396?\nAnswer: 13188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12204535402.612 - 5.\nAnswer: -12204535407.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -895 + 960.2. Round c to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*f = -8, 4*m + 3*f = 4*f + 6. Factor 0*c - 2*c + 5*c + 2*c**m + c.\nAnswer: 2*c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.943, 5\/33, 22?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230*b + 24*b + 126 - 21 wrt b.\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j - 66 = 50*j. Find the common denominator of -103\/28 and 31\/(-64) + (23\/j)\/(-23).\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55836000 rounded to the nearest one hundred thousand?\nAnswer: 55800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 85*r - 682. Let k be l(11). Suppose 2*a = 7*a + 3*m - 9, -3*a + 5*m - 15 = 0. Suppose a = -5*d + 3*z + 1258, d = -z + 3*z + k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75270*j + 3*j**2 - 75344*j + 150614*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174810523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-6))\/(2\/3). Suppose p*d = -2*a + 52, d + 4*a = 4*d - 17. What is the remainder when (-2)\/4 - (-41)\/2 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -0.03 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2. Suppose 12*u - 3 + 3 = 0. Let s(g) = -448*g**2 + 0 + 486*g**2 + u. What is k(s(l))?\nAnswer: 5776*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7709.75 years in centuries?\nAnswer: 77.0975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 35383 = 35721 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*t - 212, -2*p + 83 = 3*t - 2*t. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*s**3 - 1 + s)*(-546*s - 738*s + 446*s).\nAnswer: 1676*s**4 - 838*s**2 + 838*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 5. Let o be p(2). Is 6\/11 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 679 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 24) + (-5 + 16 - 2 - 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 830984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -73 (b) -1 (c) 6.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66284?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6318 + -6249. Which is the nearest to n? (a) -3 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 159\/(-30) - 0 - 9\/15 and 49\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 1536.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 11*y**2 - y - 6. Let x be 20\/(-3)*48\/32. What is the units digit of m(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-24*o + 1 - 22*o + 41*o) to the form r + y*o and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18925513*t**3 + 18230477*t wrt t.\nAnswer: -113553078*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Suppose j + o = 2*d + 7, j + 3*d = -4. Suppose 0 = j*i - 25 + 1. Calculate the highest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -224 + -23?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3 + 2. Suppose h*m - 703 = -78. What are the prime factors of 1\/3 + m\/3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67811497003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x. Let s(d) = -d**3 - 5*d**2 + 21*d + 10. Let m be s(3). Let w(p) = 5*p**3 - 6*p**2 + 6*p - 1. Give m*w(z) + 6*y(z).\nAnswer: 5*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzmammzzzazmmaa. Give prob of sequence zam.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.3865224 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 9*s + 10. Let o be z(10). Let u(f) = -f + 8. Let l be u(-8). Let g be l\/154 + 4\/(-14). Is o at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1274068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)*u)\/(u\/u**(-10)))**1 assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-27) + (-3)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 x when three letters picked without replacement from {p: 3, x: 4, d: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20006478*t**3 - 114*t - 11109 wrt t?\nAnswer: -120038868*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.63 and -0.6.\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 + 1 = 0. Determine w, given that k - 3*w**2 - 1 - w + w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 25688394.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 75*s - 58 + 5 = 4*q + 88*s + 34, 19*q + 2*s + 69 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440241*z + 736431*z - 346156*z.\nAnswer: 830516*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.048 + 7.048. Let s = -2 + -3. Let x = 52 + -52. Which is the third biggest value? (a) s (b) k (c) x (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -439 or -0.2?\nAnswer: -439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - 6?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7*n = -5*o - 11, 6 = -2*n. Which is the closest to 3? (a) 5 (b) o (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 - 47*q - 39*q + 234*q**2 + 2*q**3 + 200*q**2 + 85*q + 1 as w + r*q**2 + i*q**4 + h*q**3 + v*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:38 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2125842923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 11. Suppose 2*p = -4*k + 82, 9*p - 119 = -5*k + 12*p. Let w be 4\/16*k*2. What is v(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 5\/4, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5494 is divided by 1094?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, t: 6, e: 4}. What is prob of sequence eute?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23302391 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/54)\/(2\/(-8)). Let k be 709*(45\/(-12) + 4). Let g = k - 177. What is the smallest value in q, g, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0222 or -7\/9?\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 l when four letters picked without replacement from {l: 5, g: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 224022649\/958 - 233844. What is the common denominator of v and 23\/20?\nAnswer: 9580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 2)*(-3 + 3 + w + (w + 0*w - 2*w)*(3 - 3 - 2)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 2. Let i be m(16). Let a = 0 - 1. Let l = 1 - a. What is the greatest common factor of l and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -578, 0.5, -13, -15\/47, -2 in increasing order.\nAnswer: -578, -13, -2, -15\/47, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 3*b**2 - 3*b - 30. Let c(d) = -2*d**3 + 4*d**2 + 4*d + 30. Give -4*a(u) - 3*c(u).\nAnswer: 2*u**3 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 34 = -3*m, -4*m = -3*m - 5*n - 2. Let p(h) = -9*h + 13. Let l(k) = -19*k + 28. Let g(j) = -2*l(j) + 5*p(j). List the prime factors of g(m).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 11 - (111 - 93)) + (2 - 2 - -34)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137297 is divided by 3168?\nAnswer: 3153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 33*w**3 + 9*w**2 - 58*w + 1. Let h(a) = 8*a**3 + 2*a**2 - 15*a. Let g(z) = 9*h(z) - 2*i(z). Find the second derivative of g(k) wrt k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*b + 2*p + 7520, -p - 1887 = -b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 3*u - 3. Suppose 3*p - 5*s + 6*s - 47 = 0, -3*s - 83 = -5*p. Suppose -2*y - 2*y = p. Let d(i) = 3*i**2 - 4*i - 4. Give y*g(t) + 3*d(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5208 and 93\/448.\nAnswer: 41664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 4*r + 4*r + (2*r - 2*r + 3*r**2)*(-2 - 1 + 1).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 9*m + 5. What is q(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.052 - 0.048. Which is the second biggest value? (a) 17 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3\/7 + 15468*q**2\/7 - 15114780*q\/7 + 44375148 = 0.\nAnswer: 21, 1923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*r**4 + 258\/7*r + 246\/7*r**3 + 510\/7*r**2 + 0.\nAnswer: -6*r*(r - 43)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 97?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/477 + 17471\/9540. Calculate the common denominator of i and 55\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -1, 3*x + 184 = -h. Let d = h + 187. Solve d*g = -4*u + 3*g + 15, 0 = -3*u + 5*g + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2\/11*d**3 + 2\/11 + 6\/11*d + 6\/11*d**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryby. Give prob of picking 1 r and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 11:34 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*z + 15. Let j(b) = -35*b**3 - 1. Let i be j(1). Let g = z - i. What is the greatest common factor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i*t**2 + 2582635*i*t + 16*i + 33*t**3 - 300010 wrt t?\nAnswer: -4*i*t + 2582635*i + 99*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 434900279 to the power of 1\/3, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, s: 1, j: 8, b: 1, k: 2, m: 2}. Give prob of picking 1 m, 2 k, and 1 h.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 + 12*u - 13. Let t(i) = 7*i**2 - 23*i + 26. Let f(z) = -5*n(z) - 3*t(z). Let c be f(6). What is the highest common divisor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**8\/336 + 7*o**6\/30 + o**4\/12 + o**3\/3 + 53*o**2. What is the second derivative of q(v) wrt v?\nAnswer: -20*v**3 + 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 1. Let j be u(-4). Let h = -9 + j. Solve 0*n - 3*o = 4*n - 19, -9 = -h*n - o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/11 - 6016*m - 198546\/11 = 0. Calculate m.\nAnswer: -3, 33091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 7*g - 404*g**2 + 5 - 3 + 8*g**3 - g.\nAnswer: 8*g**3 - 404*g**2 - 8*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 163 (base 8) to base 9\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 8. What is the remainder when m(4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 0*a**2 - 2*a**2 - 9*a**2 + 10*a**2 - 7.\nAnswer: -a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = 2*i. Suppose -12 = -5*v - i*w, 0*w + w = 2*v - 12. Suppose -5*j + 30 = 2*q - 8, v*j + q = 31. Solve t - j = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(23\/(-18))\/23.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 - 16*v**2 + 6*v**2)*(3*v - 3*v - v**3) + (-3*v**4 + 0*v**4 + v**4)*(-2*v + 1 - 1) + 2*v**5 + v**5 - 2*v**5.\nAnswer: 20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -62 - 36 - (0 + -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -213010312222?\nAnswer: 213010312302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -49)*((-3)\/(-18))\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (13 + -3)) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in -505, -1\/3, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 18*s**2. Let f = 100 + -98. Let r(a) = 0*a**f + 4*a**2 - 2*a**2. Calculate u(r(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 36 = -24*j. Let h be 16\/(-4)*1 + j. Solve h = -2*s - 14 + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473 - 358988*j**2 - 473 + 359007*j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -2\/5 (c) -0.1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q**2 + 2*q + 3. Let d(x) = x**3 + 7*x**2 + 6*x + 3. Let g be d(-6). Let l be n(g). Calculate the highest common divisor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(14\/(-392))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose -5*f - 12 = -n - q*f, -4 = -3*n - 2*f. Suppose n*g - 25 - 7 = 0. Solve -a + g = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125*r**3*t**3*x**3 + 25*r**3*t**3 + 253*r**3*x + r**2*t**3 + r**2*x**2 + 1297*t*x**3 - 2 wrt x.\nAnswer: -750*r**3*t**3 + 7782*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816342361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 14. Suppose z + 3*p - c = -4*z, 4*z = -3*p + 10. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137880 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*k**3 + 95*k**3 - 46*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 0*r**3 + 5*r**3 - 4*r + 4*r - 2*r**3 + (-2*r**2 - 1 + 1)*(2*r - 3*r + 2*r) - r**3 + 0*r**3 - r**3 + 4*r**2 - 4*r**2 + 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 3750\/96 - (-24)\/(-384). Solve -18*o + 16*o - 28 = 5*c, -5*o = 3*c + k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 218294 and 655 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 755832 and 40459916?\nAnswer: 11452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 >= 1277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + m + 0 + (8 + 2 - 5)*(20*m - 1 + 1))*(0 + 0 - 1) as x + q*m and give q.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 6 in increasing order.\nAnswer: -5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -44053 * -947\nAnswer: 41718191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -0.8, -4, -0.1, 5 in ascending order.\nAnswer: -4, -0.9, -0.8, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - s + 0*s)*(1852 + 792 + 1431 + 879 - 482) to a + u*s and give u.\nAnswer: -8944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - 5. Let a = o + -4. Solve -5*v + 6 - a = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 139*y**2 - y - 2. Let l be w(-1). Let b be (-2)\/10 + l\/15. Let h(s) = -16*s + s**2 + b*s + 6*s. Determine h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k - 2*u - 8, 0 = -k + 5*u + 9. Let d be ((-24)\/(-504))\/(2\/12). What is the third biggest value in d, k, -0.05, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002222220122 (base 3) in base 14?\nAnswer: 212bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1848 and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 14*c + 3*z - 121, -156 = -4*c + 4*z. Calculate the highest common factor of 136 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1530 and 56264985.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t + 1. Let p(a) = 7*a**2 + 3*a + 4. Let d(g) = -6*o(g) + p(g). What is the remainder when d(4) is divided by ((-4)\/(-3))\/(2\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttigfififutiuttt. What is prob of picking 1 i and 1 g?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7133829 by 13.\nAnswer: 7133829\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2534?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 4*c + 9*c)*(0 + 0 + 2*c) - 1 - 2*c**2 + 1 in the form q + n*c + w*c**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97 + 53734?\nAnswer: 53831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 245\/3 - 81. Sort x, 2\/37, 5 in descending order.\nAnswer: 5, x, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-3))\/(7 + -5). Let r be s\/2*44\/66. Let x(z) = 14*z**3 - z. Calculate x(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -31. Let f be (40\/x)\/((-11)\/77). Let g be 1\/2*(-12 + f). Solve 0 = 2*a - g, 0*a + 18 = 5*l - a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26235200 to the nearest one hundred thousand.\nAnswer: 26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*m**2 - 56761*f**2 + f*m**2 - 103*m**2 + 8*m wrt m?\nAnswer: 2*f**2*m + 2*f*m - 206*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1\/4 (c) -51 (d) 1 (e) 0 (f) -1230 (g) 11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m - 0*m. Let a(w) = -5 - 34*w + 29*w + 6. Determine a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289 + 278. Let n(b) = -3*b**2 + 4*b - 4. Let i(m) = 8*m**2 - 11*m + 11. Determine k*n(z) - 4*i(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24972279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 1, -4649 in ascending order.\nAnswer: -4649, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12)*(-8 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i + 144 + 216 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:42 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -24*q. Let r(v) = -v + 1. Let i be (-2346)\/561 + (0 - 4\/(-22)). Let h(l) = 6*l - 7. Let z(b) = i*h(b) - 28*r(b). Determine y(z(a)).\nAnswer: -96*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.017 >= -373\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -386*g**2*x**2 + 9*g**2 - 10920*g + 9*x**2 + 5*x wrt x.\nAnswer: -772*g**2*x + 18*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2556765*c**3*p**5 + 20*c**3*p**2 + 12547*c**3*p - 529*c**3 + 11*p wrt p?\nAnswer: 51135300*c**3*p**3 + 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -761*h**5\/4 + 1840*h**3\/3 - 23*h + 24. What is the second derivative of p(d) wrt d?\nAnswer: -22830*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(0*p + 0*p + 2*p)*(p**2 + 2*p**2 - 4*p**2).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 0 - 10 - 7*q + 15*q + 8*q - q**2. Let b be c(8). Suppose -4*f = -b + 6. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5\/2 - 4*b**4 + 2*b**3 + 9*b**2 - b\/2 - 5 = 0.\nAnswer: -2, -5\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6262 - -6261.999988236. Round a to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, d: 2, l: 1, f: 1, e: 1}. Give prob of sequence lz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1598*i**2 + 1598*i**2 - 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(5*c + 4 - 4) + 6*c - 17*c + 9*c + 215.\nAnswer: -12*c + 215","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -602, -1015, -1134, -851, -58?\nAnswer: 1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-8)*(-2 - (-204)\/90).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15079a2 - 0?\nAnswer: -15079a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/9, 387\/2, 4\/5, 2\/7, -1.\nAnswer: -3, -1, 2\/9, 2\/7, 4\/5, 387\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9152304 to 3 decimal places.\nAnswer: -0.915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24740 divided by 6185.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5.5. Let h = w - 1.2. Round h to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*i = -17, -2*i + 18 = -5*h - 40. Let m = 19 + h. What is the remainder when 12 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1713?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 16 = -x. Let q(y) = 6813*y + 6815. Let g be q(-1). Solve -5*n - 12 = g*m, 12 = -0*m - 4*m - x*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 774 = -9*c. Let r = 79 + c. Solve 5*k = r*z, 5*k = z - 12 - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1. Suppose -2*z - 110 + 126 = 0. Suppose -3*b - l = 2*b + 20, b = -l - z. Let j(m) = m - 1. Determine b*j(f) - 4*i(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, -27, -111, -239, -411, -627, -887?\n\"Answer: -22*x**2 + 26*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -5*f + 3*d, 352*f - 2*d - 94 = 350*f. Let z(i) = -i**2 + 46*i - 35. Determine z(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/9 - 11*m**3\/9 - 20*m**2\/9 + 32*m\/9 = 0.\nAnswer: -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560391 is divided by 843?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -20*q**3 - 6*q**2 + 5. Let w(f) = 7*f**3 + 2*f**2 - 2. Give 4*p(z) + 11*w(z).\nAnswer: -3*z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21174.92 + -21175. Which is the nearest to -2? (a) 0.2 (b) r (c) 4 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609476 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(3))\/(sqrt(18)\/(sqrt(18)\/sqrt(2)) + sqrt(2)) - (-3 + (3*(sqrt(3)*2 + sqrt(3)) + -2)**2).\nAnswer: -244 + 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 4)*(-3*t + t + t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l - 6*l - 4*l)*(3 - 4 + 3).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*s**2 + 2*s**2 - 7*s**2)*(-2*s - 3*s + 4*s)*(s**2 + 0*s**2 + 0*s**2).\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 8. Let c be u(-6). Suppose -c*t = -t - 6. Suppose 0 = -m - t*m + 30. Solve m*d - 5*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-60)\/1)\/(-2))\/(162\/36). Let u(d) be the first derivative of 0*d**2 - t*d**3 - 18 - 9\/4*d**4 + 0*d. What is the third derivative of u(s) wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/(-9)*-30*19\/190?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 13*s + 48. Determine o(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28, 121, 282, 517, 832?\n\"Answer: q**3 + 28*q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*r - 48*r + 42*r to the form n*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4000*d**3 + 352*d**2 - 2*d?\nAnswer: 24000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18210 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 496526.2 - 496526.15999973. Let w = t + -0.04. Round w to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 7*g - 10. Suppose -l + 2*l + 11 = 0. What is the units digit of f(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 x, and 1 c when four letters picked without replacement from cxcxcccmccccxcxccccx.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1486888, 2973770, 4460656, 5947546, 7434440, 8921338, 10408240?\n\"Answer: 2*y**2 + 1486876*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a - 9. Let o(v) = -2*v - 3. Let q be o(0). Let w be b(q). Suppose 14 = k - w. Calculate the lowest common multiple of 30 and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (18 + -7 + -11 + (-1 - -9) - -49)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/17)\/n**(-4\/3) assuming n is positive.\nAnswer: n**(71\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.71 - 0.21. Suppose 0 = 2*c + 2*c - 8. Sort c, q, -0.1, 0 in descending order.\nAnswer: c, q, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161.0754 decades to millennia.\nAnswer: 1.610754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 7\/120*f**5 - 1\/12*f**4 + 0*f - f**3 - 1\/120*f**6 - 13*f**2 + 0. Let s(i) be the first derivative of h(i). Factor s(x).\nAnswer: -(x - 2)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011 (base 2) to base 10\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = -3*n - 4, d - 5 = 0. Suppose 3*t - 48 = -n*t. What is the remainder when 93 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161784 is divided by 26962?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e2 - -2d5?\nAnswer: 6b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.895 to one decimal place.\nAnswer: 44.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290 - 3?\nAnswer: 2287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 189.9 and -48999.\nAnswer: -48809.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1568835 divided by -3?\nAnswer: 522945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4942741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7515898 millennia?\nAnswer: 9019.0776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52.3 + 52.29999548. Round m to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 49 = -5*l - 38, -w - 1 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 3*a + 2*h, 2*a - 41 = 2*h + 195. Calculate the highest common factor of 200 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 21 = 75. Let y be (-2)\/(-8)*(-16)\/j. Let f = 0.423 - -1.577. Put f, -2\/19, y in increasing order.\nAnswer: y, -2\/19, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 242, 234, 224, 212?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 greater than 0.964317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 198\/13*i + 0 + 4\/13*i**2 - 2\/13*i**3 = 0.\nAnswer: -9, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5391061 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 4*i)*(-9 - 5 + 58).\nAnswer: -44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 5*b)*(-6 - 4*b + 2 + 0).\nAnswer: -12*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5547*k**3 - 473*k**2 + 473*k - 473. Let s(t) be the second derivative of 47*t**5\/20 + t**4\/3 - 2*t**3\/3 + 2*t**2 + 9978*t. Give -4*m(x) - 473*s(x).\nAnswer: -43*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 + 2*w**3 - 6*w**3)*(-3 - 5 - 5) - 2*w**3 - w**3 + w**3 + (0*w + w + 2*w)*(3*w**2 - 2*w + 2*w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9131 + 4.4131. What is the second smallest value in h, 0.01, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-5))\/((-3)\/(-15)). Let a(t) = 18*t - 2. Let m be a(1). Suppose m*j = 11*j + 30. What is the greatest common divisor of k and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -10*a + 12. Find the first derivative of 62*n**3 - 71*n**a + 21 - n**2 + n**2 wrt n.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90469 - -992792\/11. Let m = k + 215. Let s = -0.05 - 4.95. Which is the biggest value? (a) s (b) -4 (c) m (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:16 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 88*g + 2 - 183. Let o(h) be the second derivative of h**5\/20 - h**4\/3 + h**3\/2 - 2*h**2 + h. Give o(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 3 (b) -5 (c) -2 (d) 0.2 (e) -0.4 (f) -0.435\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z**2 - z - 1. Let t = -8 + 11. Suppose t = c - 4*m, -3*m - 2*m = 5. Does 5 divide n(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {n: 2, z: 1, a: 6, h: 4, x: 1, d: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, x: 2, v: 4, b: 2}. What is prob of sequence bvvu?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**2 - 284 + 284)*(-p + p**2 + p).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(19))*3)**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1304177 (base 9) to base 7\nAnswer: 6022540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 77*d**2 - 4617*d - 165. Determine b(60).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107901490*k**5 - 2*k**3 + k**2 - 16337320*k.\nAnswer: -6474089400*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118 + 2*w**3 - 3*w + 1118.\nAnswer: 2*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 3. Let u be ((-2)\/5*1)\/((-70)\/(-1050)). Determine q(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 82\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 35.9998. Round h to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*f + 1681 + 8692. Let j = -226 - f. Calculate the greatest common divisor of 135 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/13? (a) -2 (b) 0.4 (c) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -870*a**3 - a**2 - a + 1. Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 4*g - 2*g + 4 + 2*g. Is y(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v + 299. Calculate l(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 69225 - 17375 = 0. Suppose 4*r = 6*h - 4*h - 2060, 5*h = 3*r + b. What are the prime factors of h?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 4:03 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.37 - -1.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 4, 15, 51 in increasing order.\nAnswer: -4, -3, 4, 15, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(187)*2*-4 - sqrt(187)))\/(((sqrt(77)*-3 + sqrt(77))\/sqrt(7) - sqrt(11))*5) + 3)**2.\nAnswer: -36*sqrt(17)\/5 + 837\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 9*i - 45. Suppose -i*f = f - 1224. What are the prime factors of f?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**4 - 14741488*l**3 - 8624*l**2 - 36*l + 36.\nAnswer: -96*l - 88448928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23\/(-46)*0\/2. Suppose 5*y = -3*z + 4240, -5*y + 2*z + 1944 + 2321 = q. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 13*f**2 + f + 8. Let y be j(-13). Let m(i) = -3*i**2 - i + 3. Let o be m(-2). Let d = o + 7. Sort y, -4, d.\nAnswer: y, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2235.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:15 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11564072 and 40.\nAnswer: 57820360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 0*c + 0*c - 11*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) + 0 + sqrt(208) + sqrt(208))*5 - -6*(1 + sqrt(208) - sqrt(208))) + -3 + sqrt(208) + 1 + 1)*5.\nAnswer: 25 + 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 2*u. Let d be g(-2). Suppose 3*t + 2 = -13, -4*k = 2*t - 18. Suppose -3*r + 127 = k. What is the highest common factor of r and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50577 and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 4) in base 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4857*f**2*s**2 - 2*f**2*s - 25278*f**2 - 1692*k*s**2 - 128*k*s wrt s?\nAnswer: 9714*f**2 - 3384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000)*-2*-6)\/(sqrt(12)\/(sqrt(3) - sqrt(48))*5).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**3 - 7*j - 5*j**3 + 9*j + (-2*j**3 + 4*j**3 + j**3)*(-3 + 3 + 2) + (4 - 3 - 7)*(j + 5*j**3 - j) to o*j**2 + d*j**3 + k + l*j and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 81. Calculate the remainder when s is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 2118 + 402 = 0. Suppose 2*l - 4 = 0, 4*m + 142 - h = -3*l. Solve a + m = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 22*h + 40. Let o be j(9). Sort -1\/2, 4\/5, -1, o.\nAnswer: -1, -1\/2, 4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.86\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10692 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164.428 + -164. Let b = i - 1.109. Round b to 2 dps.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02532 + 0.1.\nAnswer: 0.12532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 7*b. Let j be n(-8). Suppose 4*f + 0 = j. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -25, 67*b - 3*c - 14 = 66*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11034141 (base 5) to base 15\nAnswer: -1d766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.4. Let i = 0 - w. Let u = 644.6 - 645.6. Which is the nearest to i? (a) -4\/3 (b) u (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24084327271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**2 - 6937*v**3 + 9 - 5 - 1.\nAnswer: -6937*v**3 + 18*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -u - 2*m, 0 = 4*u - m + 5*m - 4360 + 4340 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 712850?\nAnswer: 12118450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05823 - -0.07023. Which is the closest to o? (a) 0.3 (b) -0.3 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*u - u**3 + u**3 - 131988*u**4 + 131994*u**4 + u**2 - 1 to the form v*u**4 + k*u**3 + y + o*u**2 + c*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 8*c + 5*c + 5*c - 1, 0 = -c + 15 - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/10 + (-2613)\/134?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/90 and 32074\/6480 + ((-1)\/(-3))\/((-4)\/60)?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 4:14 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -83\/3. Let r(h) be the second derivative of 0 + h + 0*h**4 + j*h**3 + 0*h**2 - 1\/20*h**5. Find the second derivative of r(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4037735?\nAnswer: 5, 13, 62119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 7 = 7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.160734188 and -72663?\nAnswer: 72651.839265812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 35*u + 36*u + 13 + 5 - u**2. Let w be g(0). Differentiate 20*m**3 + w*m**3 - 14 + 12*m**3 - 49*m**3 with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35271 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*k)*(-2 + 5 - 1)*(-366*k + 664*k + 971*k).\nAnswer: -5076*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3\/4)\/p)\/(p\/p**3)*(p\/(p*p**9\/p))\/p*p\/((p\/p**0)\/p))**(-21))**44 assuming p is positive.\nAnswer: p**7161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10499 (base 11) in base 6?\nAnswer: 154305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-298)\/(-36))\/((-40)\/24) and (-2 - -3)*(-7 - 245\/(-20))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 + 4*v**2 + 7*v + 26. Let y be a(-3). Suppose 2*r = -5*g + 58 + 21, 37 = 3*g - 4*r. Let t = y + g. Solve -t*l - 3 = 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 16*x + 119 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 344, 1371, 3084, 5483?\n\"Answer: 343*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653.058ug in kilograms?\nAnswer: 0.000001653058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/666 and 58\/168*561\/(-17) + 9?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 10:56 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**11\/6160 - x**7\/360 - x**4\/4 + 15*x. Let m(d) be the third derivative of g(d). Find the third derivative of m(s) wrt s.\nAnswer: 1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 5. Let a(v) = 146*v + 33. Give -a(s) - 7*t(s).\nAnswer: -153*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:02 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*t + 3*h, -199238*t - 15*h = -199235*t + 81 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y - 504 = 674 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -2, -15, 7\/88 in decreasing order.\nAnswer: 7\/88, -0.05, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 7:21 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 9. Let b = -15 + 6. Let n be g(b). Let f(y) = -y**3 - 2*y**2 + 3*y + 71. Is 11 a factor of f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/135 and 25\/162837.\nAnswer: 814185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0108848 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/159 (b) 1\/2 (c) 0.0535\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let g(y) = 10*y. Let i(l) = -g(l) - v(l). Let s(j) = -5*j + 3. Let n(u) = 3*u - 2. Let q(m) = -6*n(m) - 4*s(m). Give i(q(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 353942 = -3*i. Let w = i + -10617101\/30. Let r = w + -293\/6. Calculate the common denominator of r and -37\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 11 - (-2 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - c**2)*(27700*c - 13848*c + 2160*c**2 - 13852*c).\nAnswer: -2160*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*i**3 + 108*i**3 - 21*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1089*x + 3266. Let d be m(3). Suppose 0 = 2*c - u + 12, 2*c + 12 = -2*c - u. Sort c, -3, d, -5 in descending order.\nAnswer: d, -3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*u + 6 = 13, -a + 5 = 2*u. Let r = 18 - a. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1030404 + 4040?\nAnswer: 1034444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*u - 7954 - 1531 = 0 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7644, 7550, 7456, 7362, 7268?\n\"Answer: -94*y + 7738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 373.6 - -0.033.\nAnswer: 373.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121141 - 0?\nAnswer: -121141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121541 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/16*(-168)\/(-546)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3276187891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270756 and 3312?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/40*(-3 - (2 + -2))*-3.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/18 and 151\/15282.\nAnswer: 15282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 87*1049.9\nAnswer: 91341.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y = -38*y + 53724. Calculate the lowest common multiple of y and 296.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -909 + 861 + 0 + 20.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 23*y + 17. Let d(g) = -178*g - 3 + 82*g + 92*g. Let k(t) = 34*d(t) + 6*w(t). Let a(b) = 21*b**2. Determine k(a(v)).\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 - 9*u + 15. Suppose -5*n + 17 + 43 = 5*r, r - 45 = -4*n. Suppose -2*c = 3*c + 30. Let i(k) = -2*k**2 - 5*k + 8. Calculate c*l(y) + n*i(y).\nAnswer: 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 8*i**2 + 56 - 107.\nAnswer: -8*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 3*n**2 + 5*n + 6. Let h be q(-4). Let p be 25*(-1 + 2) - h. Let m = p + -16. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z + 40212 = -21675. Let n = -1260 + z. Let f(b) = -5*b**3 - 3*b**2 - 2*b - 3. What is the least common multiple of n and f(-2)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**3 + 3724*j**2 - 7450*j**2 + j + 3727*j**2 + 33 to w*j + r*j**3 + z*j**2 + o and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21.246855 minutes?\nAnswer: 0.35411425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -n + 2 - 6, -4*v - 12 = 3*n. Let c be (-1 + 2 - v) + 0. What is the remainder when (3 + -3 + 2)*c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -q - 0*q + 261, 0 = 4*n + 8. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/30 of a minute?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w**3 + 713846*w**2 + 2960011*w.\nAnswer: 24*w + 1427692","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 165 = 6*m. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 158 + -118. Which is smaller: o or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p + 16. Find h such that -p*h**4 - 11*h**4 - 6*h**2 - 2*h**4 - 27*h**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 55*i + 428. Determine z(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 313671694 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + ((-10)\/(-1680)*14)\/((-11)\/(-1188)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 319, 476, 633, 790?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 331937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.0771, -0.2, 0.58?\nAnswer: -0.0771","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - a + 153. Does 17 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2) - (39 - 41)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3361 - 3297. Calculate the highest common divisor of x and 11456.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 5*b + 5. Let v(i) = -i**2 - 10*i - 10. Let a be v(-8). Let j be l(a). Let w(d) be the third derivative of d**4\/24 - d**3\/6 - d**2. Give w(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75 + 3044?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -25*w**4 + 190*w**3 - 245*w**2 + 20*w + 60 = 0.\nAnswer: -2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70908 by 6.\nAnswer: -11818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5136*c. Let y(f) = -964 + 2*f - 986 + 1950. What is b(y(d))?\nAnswer: -10272*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -68. Let b = y - 24.75. Which is smaller: b or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u - 50 = 7*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 104.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-8)\/(-12)) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 - 138\/210. Which is the nearest to -2\/5? (a) 0.4 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -83, -221, -433, -731?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**3 + 10*z**2 - 13*z + 11. Is p(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (20\/6)\/(1\/(-355416)). Suppose 4*x + 3*o = 6*o + 1579597, 3*x = -2*o + d. Suppose x = -4*y - 41097. Round y to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 + -49 - -35).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**8\/336 + 3*j**5\/20 + j**4\/3 + 2*j**2 + 1. What is the second derivative of g(c) wrt c?\nAnswer: 20*c**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*n**4 + 213*n**2 - 654535*n wrt n.\nAnswer: 2004*n**2 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33008737009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-847 + 847 - 37*w)*(-19*w**2 + 41*w**2 - 4*w**2) as q + h*w**2 + c*w + x*w**3 and give x.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, v: 15}. Give prob of sequence evee.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 12 - (109 - 100).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*h - 18. Let d be 6\/(-4)*(h - 32). Suppose -64 = -2*s + d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/36)\/((-30)\/(-8)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + sqrt(121) + -2*sqrt(121))*-4 - -4*(sqrt(121) + sqrt(121)*1 + sqrt(121)))\/(sqrt(88)\/sqrt(8)*-2 + 3*sqrt(33)\/sqrt(3)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9154957, 9154963, 9154969, 9154975?\nAnswer: 9154981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4515672935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85734722*f - 76910891?\nAnswer: 85734722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 20. Determine f(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 5*n = 3*x + 9, -21 = 3*x + 6*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9473816 centimeters in nanometers?\nAnswer: 9473816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 67*q**3 + 13*q**2. Let r = 124 + -130. Let a(f) = -11*f**3 - 2*f**2. Calculate r*b(p) - 39*a(p).\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -655000 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let c(s) = -1764854*s**2. Give g(c(o)).\nAnswer: 1764854*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqic when four letters picked without replacement from {c: 1, y: 11, q: 2, i: 1, p: 2, n: 2}?\nAnswer: 1\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u**2 - 1 - 1 + 1 - 2.\nAnswer: -45*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-7))\/((-12)\/42). Suppose -4*x + 4*a + 84 = -j, 0 = 4*x - a - 103. Differentiate -19*z**3 - 10*z**2 + 6*z**2 + 4*z**2 - x with respect to z.\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 186 = 3*w - 73, -2*a - 5*w - 226 = 0. Let m = a - -43. Let h = 76 + m. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/9)\/(2\/(-6)). Suppose 3*h = -h + j, h - 14 = -3*s. Suppose s*w + 2*w - 450 = 0. Round w to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 17*b**2 - 46*b + 184. Let y be c(29). What is the highest common divisor of y and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 0*r + r. Let p(n) = 4*n. Let d = 5 - 0. Let q(z) = d*m(z) + p(z). Let w(o) = -2*o - 1. What is -3*q(j) + w(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 684.8 + -685.176. Which is the nearest to 0.1? (a) 1 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 0 - 1\/480*z**6 + 0*z + 1\/840*z**7 - 1\/20*z**5 - 1\/24*z**4 + 2\/3*z**3 + 26*z**2. Factor h(j).\nAnswer: (j - 4)*(j - 1)*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/7, -1.13, 0.038, -27 in ascending order.\nAnswer: -27, -1.13, -2\/7, 0.038, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.43614456 rounded to 1 decimal place?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*p = 648*p - 33480 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1153 - -1267. List the prime factors of n.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -12, 0.02, -17, -4, 5 in decreasing order.\nAnswer: 5, 2\/3, 0.02, -4, -12, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-230)*(-5)\/((-10)\/8)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -40. Solve 4*a + 2*u = 7 - 1, 4*u = -5*a + k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1210 + 48a0?\nAnswer: 5ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17814?\nAnswer: 2, 3, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g**8)\/((g*g\/(g**(-1)\/g))\/g)**(-2\/19) assuming g is positive.\nAnswer: g**(-311\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 756932670 - 0.1037.\nAnswer: 756932669.8963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4554013 + 0?\nAnswer: 4554013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 8*w**2 - w + 8. Let r(x) = x**3 - 12*x**2 - 13*x + 8. Let s be r(13). What is d(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + 0)\/((-2)\/4). Let c be (m\/(-12))\/(20\/(-99)). Let n = -499\/360 - c. Find the common denominator of n and -65\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*x + 50031 + 99609 = 1034*x for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.05694s in nanoseconds?\nAnswer: 62056940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142244 - -403?\nAnswer: 143051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*g + 16 = -451*g - 2*s, 5*s = -g - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75814 is divided by 489?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a - 2. Let b = 7905 + -7909. Let x(l) = 2*l - 5. Let z(w) = 3*w - 11. Let c(y) = -7*x(y) + 3*z(y). What is b*h(t) - 5*c(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333 - 141. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -10. Let v(j) = -j. Let n(o) = 5*o - 1. Let w(h) = f*n(h) - 4*v(h). Let l(y) = 9*y - 6. Suppose 6*i - 10*i - 24 = 0. Calculate i*w(u) - l(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 29079*b - 173505. Determine x(6).\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -5 + sqrt(720) + (sqrt(240)*-3 - sqrt(240))\/sqrt(12) + (sqrt(20) - 5*sqrt(180)) + (1*sqrt(20) - sqrt(20) - sqrt(20)) + 3)**2 + 1.\nAnswer: 96*sqrt(5) + 2885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -29. Suppose 0 = 4*h - 11 + 3. Let g(s) = s**2 + 8*s + 10. Let b be g(-7). Solve r - h = b*f, t*f + 3 = r - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 587, 575, 563?\n\"Answer: -12*w + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18 - (-10 + 1526\/126).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = 3*n, 6*u = 10*u - 4. Solve n*v = 14 - 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 1. Let s(b) = b + 2. Let n(g) = s(g) - 3*x(g). What is the remainder when (-136)\/(-22) - 14\/77 is divided by n(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**5\/24 - r**4\/6 - 2*r**3\/3 - 2. Let o(g) be the third derivative of c(g). Is o(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = d + 20, 0 = -5*d - 5*t + 10 + 15. Suppose -2*c + 0*h - 83949 = 3*h, d = 5*c - h + 209898. Let n be c\/35 - 6\/10. Round n to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - a**2 + 2*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*w**2\/4 - 5943*w\/2 - 660.\nAnswer: -3*(w + 440)*(9*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwww. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 68 = -0*z + 5*z, -22 = -2*z + b. Calculate the greatest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2877 and 52745?\nAnswer: 158235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*r = 40*r + 1272288. What are the prime factors of r?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/45)\/((2\/5)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2928)\/2440)\/(132\/15).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (280\/25)\/((-148)\/(-185))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 20. Let r be n(19). Let t(d) = d**3 - 2*d**2 + 6*d. Let m(v) = v**2 + v. Let o(h) = r*t(h) + 6*m(h). What is the third derivative of o(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:57 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044995.\nAnswer: 5, 7, 73, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v - 2*y - 70 = 0, 3*y = -15. Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -4. Suppose 176 - 16 = 8*n. Calculate the greatest common factor of y and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (5 + -13 + 7) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2249507.22 from 1.\nAnswer: -2249506.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 2*f**2 + 2*f**4 + 3 + f**3 + 1 - 2*f to p*f**2 + k*f**3 + m*f + l + h*f**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-15))\/(2\/(-137622)). Let b = l - -27645. Suppose 5*s - 4*x = -1130012, -106619 - b = s - 4*x. Round s to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101676 (base 9) to base 16\nAnswer: -ebad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04773223044 rounded to five dps?\nAnswer: 0.04773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007512709 to 7 dps.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 43 = -2*o - 6*z, 0 = -2*o + 4*z + 38. Suppose -6*s - 158 = -f - o*s, -5*s = 5. What are the prime factors of f?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-9) - 32\/180)*-125 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-60)\/(-8)))\/((-48)\/216).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 - 2*p - 144.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 4)*(4*b - 5*b - b) + (0*b - 14*b + 31*b)*(-7 + 3 + 1))*(2 + 6 - 1)*(b + b - 4*b) + 100 - 14*b**2 - 100 to r*b**2 + l + h*b and give r.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000187718 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1051.42117*9\nAnswer: 9462.79053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/(-4) - 23\/((-92)\/8). Are l and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14*o**2 - 16*o - 15. Determine h(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65547 (base 8) to base 2.\nAnswer: 110101101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 9.7.\nAnswer: -1.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -11, 6366?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*x - 160, 10*x - 5*x = -25. What is the highest common divisor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.62 times 3?\nAnswer: -328.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h. Let s be g(2). Suppose 0*n + s*n - 312 = 0. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -8) + -4 + (6 - 1) - (74 + -84)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2200 + 2190. What is the closest to -1\/6 in i, 1\/4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -69*i + 189. Determine v(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 c when four letters picked without replacement from {j: 3, c: 8}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*v - 5*q - 3, 2*v - 3*q + 5 = 0. Solve 17 + 8 = v*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240507, -480549, -720591, -960633, -1200675?\nAnswer: -1440717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 784*y - 28*y - 135*y + 2484 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(9072)*-1*-1)**2)*3.\nAnswer: 27231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3 - -2 - -1) + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*k - 67 = 78, -4*c - 5*k + 175 = 0. Let a = c - 38. Suppose -5*p = z - 4 - 0, -a*z + p = -8. Is 6 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35786 and -0.827877735.\nAnswer: -35786.827877735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/1527600 and 92\/1425.\nAnswer: 1527600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 22. Let k be s(-9). Let m = -13 + 27. What is the greatest common factor of m and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwjawwjhhajbhhhfbhjh. Give prob of picking 2 b, 1 j, and 1 f.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {s: 2, w: 2, z: 4, x: 2, v: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4 + 4*d**2 - 6*d**3 + 5*d + 7*d**3 + d - 8*d. What is o(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90725?\nAnswer: 5, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/(-15) + 4\/(-6). Let a = -11991.4 + 11991. What is the nearest to 3\/4 in n, -3, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -14\/125 (b) 5 (c) -0.5 (d) 1\/2 (e) -4\/3 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -962*a**3*g + 48*a**3 - 22*a**2 + 68*a + 27*g**3 - 3 wrt g.\nAnswer: -962*a**3 + 81*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11487.\nAnswer: 3, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -229\/95 - -42\/19. Let a = -11 + 11. Let m be a*2\/4 + 4. Put u, 2\/5, -0.4, m in descending order.\nAnswer: m, 2\/5, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 2*t - 115582, -12 = -208*q + 212*q. What is the ten thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, s: 2, d: 4}. Give prob of sequence zsd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.001? (a) 5 (b) -4 (c) 138 (d) 240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/3 - -4)\/(-1). Solve -o*k = -2*p, -10 - 11 = -3*k - 3*p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 119 - 136. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1082200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -12, 0.2, -275\/59, -4, 1\/4, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*d**3 - 87862*d**2 + 2767822 wrt d.\nAnswer: 39*d**2 - 175724*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2586595.\nAnswer: 5, 11, 131, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752\/(-8) + 81 + (-1 - -22).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 1, g: 1, s: 5}. What is prob of picking 1 y and 3 s?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71946 and 55116?\nAnswer: 220298652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 + 449*i**2\/5 - 15816*i\/5 + 8676.\nAnswer: (i - 30)*(i - 3)*(i + 482)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 - -1201?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13302*4.\nAnswer: -53208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**7\/105 + 7*c**6\/24 + 59*c**5\/30 + 39*c**2 + 3. Find the third derivative of g(s) wrt s.\nAnswer: 48*s + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 20*q + 42. Let a be l(2). Let m(j) = j**2 + 6*j - 3. Calculate m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -7 - 9 - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99171 divided by 109.\nAnswer: -99171\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - (-572)\/3276. Which is the closest to -2\/3? (a) -0.4 (b) 2\/3 (c) w (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*20\/(-12)*(-12)\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:05 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - 2*c)*(2846*c - 1421*c - c**2 - 1284*c).\nAnswer: 2*c**3 - 282*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 8*l**2 + 8*l + 9. Suppose -1211 + 1155 = 8*m. Let o be k(m). Factor -4\/9*u**3 + 0 + 1\/9*u**4 + 5\/9*u**o - 2\/9*u.\nAnswer: u*(u - 2)*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 54*q**3 + 30*q**3 - 50 + 88 - 50 + 23*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -575 - -934. Let o = -351 + w. What is the remainder when 45 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37950 = -18*k - 28*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 155*v**4\/4 - 243*v + 73. Find the first derivative of c(t) wrt t.\nAnswer: 465*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 672433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/5 - (-33)\/15. Let n(t) = -y*t - 9 + t + t + 2*t. Let m be n(6). Solve -3*x + 4*x - m = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/16)\/(4\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 8. Let i be q(-8). Suppose -4*b + i*b = -20. Suppose 2*z = 10 - 2. Solve z*v - 3*v = -b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 12 + -11 + 7 + 3\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o - 80 = 215. Suppose -84 = -5*y - 2*i + i, y = -4*i + 32. Let v be 1*y*4\/8. Solve 6 = -2*z - c, -v = 2*z - o*c - 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/7 - 11*p**3\/7 - 4*p**2\/7 + 44*p\/7 = 0 for p.\nAnswer: -2, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 3302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1961)\/(-2) + 6\/4.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -57. Let s(d) = d**2 - 7*d - 5. Let a be s(l). Let t be 0\/2 - (6\/a - 6). Solve 0*i + t*i = -4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -113, -180, -253, -332, -417, -508?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -278, 3, 1 in descending order.\nAnswer: 3, 2, 1, -5, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 1:50 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11945, -12377, -13099, -14105, -15389, -16945, -18767, -20849?\n\"Answer: c**3 - 151*c**2 + 14*c - 11809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, b: 2, f: 1, p: 10}. Give prob of picking 2 g.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 55*s**2 + 848*s - 2448.\nAnswer: -(s - 9)*(s - 4)*(s + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.06, 9, -5, -6, -6\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1661 + 1.8339. What is the second biggest value in 4, 0.5, -1.8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -9.1, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*u + 5, -u + 2*u + 9 = z. Let p = -704813\/28 + 25169. What is the common denominator of p and (z\/(-20))\/(8\/(-166))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*c - 5*c. Solve 15 = -3*b + 5*j, -4*b - 5*j = 27 - c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -12, 3, -4, -3 in descending order.\nAnswer: 3, -3, -4, -12, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15118936241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1080045 = 3232045. Round x to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -1\/10*v**5 - 1\/30*v**6 + 2\/3*v**3 + 3*v + 1\/4*v**4 + 0 - 2*v**2. Find j, given that s(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -444*b - 28. Let i be g(-13). Let j = i - 178046\/31. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64391 rounded to the nearest one hundred?\nAnswer: 64400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -531889427 rounded to the nearest one million?\nAnswer: -532000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/6*72\/42. Let s(o) be the first derivative of 2*o - o**2 + o**4 - 4\/3*o**3 + 2\/5*o**5 - 1\/3*o**i - 4. Factor s(l).\nAnswer: -2*(l - 1)**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n - 110. Suppose r + 0*x - n = 2*x, -r = 5*x - 20. What is the greatest common divisor of 18 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 387 and -0.237994.\nAnswer: 386.762006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:19 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -67*z - 95 - 255 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -1 - -8) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 863*o - 3468. What is b(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/164 and 8\/54*(18278\/608 - 19)?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 174 = -918. Let q = 157 + d. Which is greater: q or 9\/28?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*x - 2*x + 20, -2*u + 8 = 2*x. Calculate the smallest common multiple of 9 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((168\/52)\/1 + -3)*(-24)\/(-18)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.91 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21184 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-171))\/(((-27)\/(-3))\/(-3)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57110477*-3\nAnswer: -171331431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + -2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b2de (base 15) to base 3.\nAnswer: 1220211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgdd when four letters picked without replacement from dgmdgddmdgmdggmmdggg?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 8:38 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14323202 (base 6) to base 4.\nAnswer: -1320122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 68, -133, -0.5, 0.3, 4.\nAnswer: -133, -0.5, 0, 0.3, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/(7\/(-84))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22 + -20)*3\/6. What is the fourth biggest value in -2\/5, -3\/8, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18147.\nAnswer: 3, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024868 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-5 + 1 + -40772). Suppose h - 4*p = 8185 + 2035, 4*h + 5*p - y = 0. Round h to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.32 (b) -17 (c) -0.4 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*r + 3. Suppose -z = -1 - 1. What is the units digit of z*(3 + (0 - r))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -787, -1577, -2367, -3157, -3947?\n\"Answer: -790*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -60. Let c be (-2)\/(-4)*g\/(-5). Suppose c*n - 2*n - 1 = 0, 0 = 2*a - 4*n - 6. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*b**2 - 1136 + 2268 - 33*b**2 - 1128 - 7*b**2.\nAnswer: -193*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2715 - 1412. Suppose z = -13*p - 478. Sort p, -5, 0 in descending order.\nAnswer: 0, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1032 - 1031.9805. Let m = -0.1196 - -0.0662. Let c = a + m. Round c to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 2608874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9072829, 9072823, 9072817?\n\"Answer: -6*j + 9072835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/4 in 7, -2\/21, 1\/6, 8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-43)\/4)\/((-1)\/28). Suppose 10*k - 379 = j. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3356.251 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 14. Let j be i(-11). Suppose -j*c = c - 5*b + 20, -4*b = -3*c - 16. Suppose 3*s + 2*v - 387 = 1492, -2*v + 10 = c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h. Let i(v) be the second derivative of 5*v**4\/4 + 11*v. Determine i(a(c)).\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 + 19*l - 46. Let m(b) = b**2 + 2. Let k(v) = 3*m(v) + p(v). Determine k(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 k when four letters picked without replacement from bbkbkbbk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220002 - -10011200002?\nAnswer: 10010210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/993 or -370?\nAnswer: 2\/993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/1475 and -97\/15576.\nAnswer: 389400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23678788 by -623126.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13454405 at most 13454405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**5\/20 + u**4\/12 + u**3\/3 + 552*u**2 - u. Let r be s(0). List the prime factors of (-2 - (-39)\/15) + r\/10.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1664)\/88 - (-32 + 30 + -17)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k*k**(2\/15))))\/(k**4\/k))\/(k**0\/k)**(-1\/6)*((k\/k**(1\/2)*k)\/k**(-2\/11))**(-4\/41) assuming k is positive.\nAnswer: k**(-16201\/13530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*d + 9, -206 = -3*g - 4*d - 235 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + 2 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s + 88. Let m be v(-10). Calculate the lowest common multiple of 16 and (m\/(-10))\/((-27)\/(-450)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/z**1*z)))**(-44)\/(z*(z*z**(1\/3)*z)\/z*z*z)**32)**(1\/8) assuming z is positive.\nAnswer: z**(-137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 + 1 + (183 - 193)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -3 (c) -241 (d) 0.073 (e) -0.14 (f) 2\/11 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 3*t + 0*t + (2 + 0 + 0)*(t + 0*t + 0*t) - 3*t + 2*t - 3*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhoh when four letters picked without replacement from {o: 2, c: 6, d: 1, h: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 15*n + 15. Let t be u(5). Solve -3*q - t = 0, -2*j + 4*q = -7 - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(2 + -2 + sqrt(192) + (sqrt(192)*-3 + -2 - sqrt(192))))**2.\nAnswer: 13824*sqrt(3) + 249408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031063775 rounded to 7 decimal places?\nAnswer: -0.0003106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-1)\/((-22)\/4). Let f = 9.5 + -12. Let j = f + -1.5. Which is the nearest to j? (a) -3 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.34 - -4.44. Suppose -4*o + 19 = 7. Suppose 2*s + n = o*n, 4*s + n = 25. What is the nearest to 0 in s, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/476 and 19\/340.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 939 - 292. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4\/17 - 548*o**3\/17 + 2138*o**2\/17 + 6000*o\/17 - 16200\/17 = 0.\nAnswer: -3, 2, 5, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(2\/9 + 1392\/(-10152)). Calculate the highest common factor of q and 1739.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/14 - (-120)\/105. What is the greatest common factor of s and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/20 and (18\/(-4) + 4)*(-344)\/(-1456).\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = 0. Let c(f) = -4*f + 5. Suppose q - 5 = 2*q. Let a be c(q). Solve 5*j + v*k - a = -2*k, -25 = -5*j + k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r*y**3 - 166*r*y**2 + 2*r - 2*y**3 - 8*y**2 - 714064*y wrt y.\nAnswer: -36*r*y - 332*r - 12*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 1. Let r be o(1). Suppose 0 = -r*g - 2*g + 4*k + 24, g - 4 = -k. Calculate the lowest common multiple of (-3)\/(-3)*1*3 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2016 and 0.8963.\nAnswer: 2016.8963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 74*o + 706. Determine c(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + -6. Let w = -9 - d. Suppose w*x + 149 = 519. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9220 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-14))\/(30\/56)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 208603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -122)\/(573*228\/87096)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 229*h + 5380. What is the tens digit of k(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348345, -2696655, -4044965, -5393275, -6741585?\nAnswer: -8089895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1089, 0.3, 3, 7, 2, 30, 1\/11?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3088368 times -0.04?\nAnswer: 123534.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 18*j - 2222. Calculate o(91).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*k - 14, 0 = 3*k - 3 - 6. Let d be 3\/l*4\/3. Let a be d\/(1*(-1 + 5)). What is the closest to a in -0.1, -1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*z**3 - 3996*z**3 + 0*z + 0*z.\nAnswer: -3271*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*r - 103*r - 163919 = -3514812. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**5 + 2365*n**3 + 1445*n**2?\nAnswer: -120*n**2 + 14190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 28.7. What is the biggest value in 11, -0.1, s?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {s: 1, y: 12, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/61)\/(v*v*(v**(-2\/15)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-763\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) 8\/157 (b) 9 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 63*y**2 - 87*y + 53. List the prime factors of s(5).\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, u: 1, l: 2}. What is prob of picking 2 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 8. Give f(-31).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5738752)\/(-174)*6\/4.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 775?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + 8. Let t be 8\/((-9)\/3 - -5). Let c = j - t. Put -4, 5, c in decreasing order.\nAnswer: 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3722 is divided by 2852.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:33 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 858 = -u - 214, 5*y = -3*u + 1847. Does 48 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 3*o**2 - 5*o**2 - 7. Suppose 0 = -u + 4*u - 7*u. Determine x(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1. Let b(r) = -35*r - 117. Let f(d) = 141*d + 469. Let k(j) = 9*b(j) + 2*f(j). Let s(n) = -k(n) - 4*w(n). Differentiate s(x) wrt x.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 16)*(-8)\/(-12) - -26. Calculate the highest common divisor of o and 10180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c64b (base 15) to base 12.\nAnswer: -94198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15.4. Which is the smallest value? (a) -12 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - 0 - 0 - 1. Suppose 0 = 2*t - y + 27, 2*t + g*y + 22 = 4*y. Let w = -11 - t. Solve 0*c = c - 2*u - 2, 3*c - 10 = w*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -12*k**3 - 4*k**2 - 3*k. Suppose 0 = 4*m + 2*n - 4, -3*m + 3 - 14 = -2*n. Let s be t(m). Sort -5, -3, -2, s in descending order.\nAnswer: s, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v**2 - v. Let y(c) = 7*c**3 - c**2 + c - 5. Let q(j) = -8*j**3 + 2*j**2 - 2*j + 6. Let r(s) = -5*q(s) - 6*y(s). What is -3*i(o) - r(o)?\nAnswer: -o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 20. Let z = -4284332\/9 + 476038. Calculate the common denominator of z and (t\/9)\/((-2)\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-169*s + 406*s - 164*s)*(0*s + 0*s + 2*s)*(-8*s + 3*s + 2*s) to the form r*s + v*s**3 + b*s**2 + t and give v.\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose 3*v + q*v = 10. Solve v*h = -0 + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c. Let k be y(4). Let g = 7 - 4. Let h be (16\/4*g)\/1. Solve 4*m = h + k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 3 + -7 + -5 - (-11 - -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 4*w + 3*p - 28, -4*w - 3*p = -23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 5, 2\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 4, 41, -3, 1487, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20224416 by -4.\nAnswer: -5056104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*h + 128 = 0, q + 0*h = -5*h - 44. Let k be (q\/(-30))\/(6\/(-15)). Sort -5, 2, k in decreasing order.\nAnswer: 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 - 1.7. Let z(t) = -t**3 - 6*t**2 + 1. Let s be z(-6). Let n = s + -2. What is the closest to x in n, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266 + 271. Solve c = -4*c + j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6550 + -6550.4. What is the second smallest value in -3\/7, x, -7, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 - 4*x + 3. Let f be r(2). Suppose -n - 4*p = f, -3*n = -p - 24 + 5. Suppose 5*c = -n*q + 200, -q + 5 = 2*c - 75. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**6\/165 - f**5\/10 + 16*f**4\/33 - 28*f**3\/33 + 52*f. Factor a(c).\nAnswer: 2*c*(c - 7)*(c - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27771 + a**2 - 27771 + 158*a**2)*(1 - 1 + 2) to u + k*a + m*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-6*sqrt(65)*1 - (sqrt(65) + (sqrt(65)*-3 - sqrt(65)))*2)\/((-2*-1*sqrt(40))\/(1*sqrt(968) - sqrt(968) - sqrt(968))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3736, 3761, 3802, 3865, 3956, 4081, 4246?\n\"Answer: y**3 + 2*y**2 + 12*y + 3721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 79 - 14 = 3*c, 0 = -2*f + 2*c + 10. Let i(l) = -l**2 + 9*l. Determine i(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 3.6, -1\/4, 3 in ascending order.\nAnswer: -3, -1\/4, 3, 3.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28727 - 28728. Let k = -4222 - -726181\/172. Is c at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 9. Let q = 12 + c. Solve p - q = -0*p - d, -8 = 3*p - 4*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*l + 85*l - 313*l.\nAnswer: -178*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -2*v, -2*g - 3*v = -4*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1440) - sqrt(10))\/sqrt(5) - ((sqrt(60)\/sqrt(5))\/sqrt(6) + sqrt(8) + -1).\nAnswer: 1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v = -15*v - q - 254, -5*v = -4*q - 236. Solve 2*c - v = -62, 0 = -2*h + 2*c + 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6476286 or 6476264?\nAnswer: 6476264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -105 + -5 + 3 + (-3 - -7) + -5 + -10\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6590.0297 - 0.5.\nAnswer: -6590.5297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 170*p**2 + 590\/3*p**3 - 118 + 135\/2*p**6 - 126*p**5 + 40*p - 745\/4*p**4. Suppose r(a) = 0. What is a?\nAnswer: -1, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 0)*((-7*c - 12*c + 16*c)*(0 - 2 + 0) + 1 - 1 - c)*(3*c - 3*c - 3*c)*(-4 + 2 + 6).\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -11*r + 396. Let g = r + -58. Suppose -g*c + 32941024 = 434541024. Round c to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31\/13 (b) -4 (c) -11 (d) 0.01213\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 697\/2940 - 54\/245. Let j(f) be the third derivative of -o*f**5 + 0*f - 27*f**2 + f**3 + 1\/24*f**4 + 0. Factor j(i).\nAnswer: -(i - 3)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -6?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 1\/134 (c) -4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101.3 + 33.96623669\nAnswer: -67.33376331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15205 (base 8) in base 9?\nAnswer: 10273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**2\/2 + 3*q - 3. Let i be g(-3). Suppose i = 4*u + 2*f - 30, -4*f - 8 = -3*u + 42. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 5 - 11 + 7*n + 2*n - n + n + (0*n - 2*n + 4*n)*(-3 - 1 + 2) + n + 3*n - 5*n.\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 12) + (1 - 29) + 79\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 17*b + 10. Let f be p(-15). What is the common denominator of 9\/16 and 98\/f*(-1)\/5?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = c, -4*c + 1842 + 1858 = 33*x - 1843 + 5572 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d0 (base 15) in base 11?\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47221 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 57*r + 14. Let s(f) = f**2 - 28*f + 9. Calculate 3*n(a) - 5*s(a).\nAnswer: 4*a**2 - 31*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 1945*h - 682 = -612 + 1878, -5*k - 3*h + h = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 26*g - g - 21 = -62, 4*p - 10*g - 119 = -41 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, u: 7}. Give prob of sequence uuuk.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -6, 15148, 3 in increasing order.\nAnswer: -6, 3, 10, 15148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 41 = -k + 23, 3*k - 150 = l. Put k, -5, -9 in ascending order.\nAnswer: -9, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/983 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-6) - (-3640)\/42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 40 = -5*p + 2*l, -17 = -p - 4*l. Suppose -7 = -3*c - k + 4, -5*c - 15 = -p*k. Let u(i) = -4*i**2 + 5*i**2 + c - 2*i**2 + 3*i. What is u(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**(2\/67))**27 assuming t is positive.\nAnswer: t**(-108\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -12906)*((-12)\/(-3) + -5). Let p = o - 6806. Is p 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 1375?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*x**5 - 40*x**5 + 23*x**5)*(-3 + 3 + 2) + x - x**5 - x.\nAnswer: 39*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 219?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/10*(1 - 1). Suppose -9*y**2 + 4*y**3 + r*y - 1\/2*y**4 + 27\/2 = 0. Calculate y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-130)*4\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149441 - -144990. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 389413483 and 68630.\nAnswer: 3894134830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -38*y**2. Let j(u) = 583498*u. Determine q(j(c)).\nAnswer: -12937856808152*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 - 55*c + 222. What is i(4)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-1368)*11\/((-990)\/40).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -84 - 87*g**2 - 3\/2*g**3 - 339\/2*g = 0.\nAnswer: -56, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 160. Let t = -122 + 238. Let l = t - u. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*n - 7, 4*x - 1710 + 1691 = -5*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583 + 65 = -2*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-8598)\/34) + (-2)\/(-17). Suppose g - 2*y = 88, 4*g - g - 4*y - v = 0. Calculate the remainder when g is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5596, 22297, 50116, 89053, 139108?\n\"Answer: 5559*o**2 + 24*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 3*w + 2*l + 7, 1073*w = 1070*w + 5*l + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 250 - 314 = 2*l, 3*l + 102 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6902 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001010 - 110000110?\nAnswer: -1101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**6\/60 + n**5\/10 + n**4\/4 + n**3\/3 + n**2\/4 + 24*n. Let b(m) = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 8351.\nAnswer: 8351.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/3 - 158972*f**3\/3 + 3265263458*f**2\/3 - 1407582600160*f + 470389645910400 = 0 for f.\nAnswer: 680, 39063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 34*a - 2863. What is i(68)?\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 46 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 16*f - 76. What is y(-11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1470, 2907, 4344?\nAnswer: 5781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35253 - 2560?\nAnswer: 32363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + -14. Let w = -28 - a. Let j = -12.6 + w. Put 2, 0, j in decreasing order.\nAnswer: 2, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52, 104, 154, 202, 248, 292, 334?\n\"Answer: -i**2 + 55*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5206150277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 4, -32\/21?\nAnswer: -32\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18284053?\nAnswer: 107, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96377, -96383, -96389, -96395?\nAnswer: -96401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*i + 7, 2*i + 1 - 9 = 0. Let v = f - -28. Let h = -23 + v. Solve 3*c + h = 3*z - 10, -10 = -2*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*b - 3195 - 4325 = 82*b for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 2. Let c(z) = 13*z**2 + 18*z**2 - 3*z - 30*z**2 + 3. Give -2*c(n) - 3*q(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 6:35 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 7*o**2 + 6*o - 3. Suppose 77 + 7 = 14*y. Give m(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 3}. Give prob of sequence nn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -b + 6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81580018.\nAnswer: 2, 13, 241361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - a**2 + a**2)*(18545 - 18545 - 336*a**2) to n*a + d*a**4 + l*a**3 + f*a**2 + z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16)*-5 + (-15132)\/(-16224)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(1*(-2 + 1)). Let q = u - 21. Suppose -c - 4*n + 23 = 0, c + 0*c - n - 23 = 0. Solve -4*a + q*p + 6 = c, -p = -3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 18*p**3 + 50*p**2 + 2*p - 33. Let q(k) = 34 + 31 - 100*k**2 - 56*k**3 - 2*k - 3*k + 21*k**3. Let c(n) = -5*d(n) - 3*q(n). Find j such that c(j) = 0.\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydl when three letters picked without replacement from dmmlyymdmdd?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**4\/24 + 7*j**3\/6 - 50680*j**2. Let u(a) = -4*a + 1. Let c be u(-2). Give q(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*g + c, -20 = -5*g - 4*c + 22. Let w(a) = -4*a**2 + 2*a - g*a + 1 + 2*a - 5*a**3. What are the prime factors of w(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5318\/7 (b) -535 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 + u**2 + 220 - 2*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(315) + sqrt(35)*2*3))\/(-1*sqrt(245) - sqrt(245) - sqrt(245) - sqrt(40)\/sqrt(200)).\nAnswer: 30*sqrt(7)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.0083 + -0.0083. Let x = 111 + -67. Let t = x - l. Which is the closest to 3? (a) 2\/9 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 + -0.4. What is the nearest to 0.2 in x, -1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -11*s - 4. Let r be z(-8). Suppose r = 4*f - f. Let p = f + -13. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-12)\/(-60))*96\/680\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -362150*h - 4546016?\nAnswer: -362150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/4 + -1)*70\/21 - (-84595)\/12085\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by 83?\nAnswer: 194\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1770 + -1030. Is y a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.56 and -107.789.\nAnswer: -60.36184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56, 59, 72, 101, 152, 231, 344?\n\"Answer: v**3 - v**2 - v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-6) + -8 - (-19)\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - -6) + 7 - (2 + -5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/19)\/((-1434)\/(-9082))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*w**3 - 1044*w**3 + 526*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**3 + v**2 - 10*v. Let d(y) = -7*y - 2. Determine -3*d(c) - 4*t(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.94 - 8.8. Let i = a + -0.24. What is the smallest value in 5, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 5 - p**2 - 1 + 85 - 85 - 25*p**2 + (0 - p + 0)*(0*p + 3*p + 0*p).\nAnswer: -29*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9698500 and 1000.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1126472033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 156 = -j. Let p be (j\/(-2))\/(5\/10). Let x be 22\/2 - (6 - 8). What is the greatest common factor of p and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 21?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 45, -2, 1, -4.\nAnswer: -4, -2, 1, 23, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 465772784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = w + 7, d = -2*w - 14 + 6. Let n be (0\/(-4))\/3 + d. Suppose 5*l + 3 = n*l. Which is the third smallest value? (a) l (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:41 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6837 - 81931\/12. Find the common denominator of 77\/12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000293 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/16 and -19\/29.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 2273139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -27080?\nAnswer: 27079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-80)*4)\/(8\/32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/60 - l**4\/24 - l**3 + 3*l**2. List the prime factors of r(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from fzpfbb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**4 + 6*n**2 + 36787?\nAnswer: -4*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 minus 2.08811?\nAnswer: -31.08811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6381, -25599, -57613, -102411, -159981, -230311?\n\"Answer: 2*q**3 - 6410*q**2 - 2*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7060.\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 2.2. Let n = k + 2.2. Let v = n - -0.2. Which is the nearest to 1? (a) 1\/2 (b) -2\/11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.1 - -0.1. Let z = a - -16. Sort -2\/9, -0.1, z in ascending order.\nAnswer: -2\/9, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/4)*n\/(n*n**0))\/((((n**(-3)\/n)\/n)\/n*n)\/(n**(-6)\/n*n)))\/((n**(-7)*n**(-3))\/(n**(-1))**(-1\/13)) assuming n is positive.\nAnswer: n**(511\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -553*r - 2231. Let k be o(-4). Sort k, 0, -2 in increasing order.\nAnswer: k, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Let d = 5 - s. Solve 3*f - d*f - 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**4 + 1701 + 3*m - m - 537*m**3 - 875 - 821 - 2*m**2 in the form w*m**4 + j + d*m + z*m**3 + f*m**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**2 + a. Let l(o) = -10*o**2 - o. Give 7*l(z) + 6*r(z).\nAnswer: -4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**5\/120 + b**4\/12 + 15*b**3\/2 + 17*b. Let w(g) be the second derivative of a(g). What is w(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-88))\/(31*62\/2262194)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + -0.39. Let q = 1.5 - 3.5. Sort 1\/2, q, c in decreasing order.\nAnswer: 1\/2, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(4\/(-58)))\/((170\/17)\/10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37049?\nAnswer: 37049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 40 + 140*q - 35 as h + n*q and give n.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 2\/47, 4, 2.9, -0.04 in ascending order.\nAnswer: -0.04, 2\/47, 4\/3, 2.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 28*v**2 - 26*v**3 + 8*v**3 - 28*v**2 + 26*v**4 - 18. Find the third derivative of j(b) wrt b.\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17387 + -18992. What is m rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 6. Let t be z + 2 - 7*-1. Suppose -37 = t*m - 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1374656 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15*g**2 - 8000*g + 16050*g - 8050*g. Let d(m) = 8 - 8 + 12*m**2. Calculate d(f(a)).\nAnswer: 2700*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z - 7. Let u(a) be the third derivative of -a**4\/24 + 2*a**3\/3 - 3*a**2. Let m be u(6). Let h(r) = -3*r - 3. Determine m*d(i) + 5*h(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106284 and 810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13804068 is divided by 3451013.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138 - -135. Let s(w) = w**3 + 2*w**2 - 4*w - 1. Let r be s(t). Let o(f) = f**2 - 2*f - 1. Let g be o(5). Solve r*l = -g + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 5, t: 1, o: 1, y: 1, w: 3}. What is prob of picking 1 u and 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247210*m**5 - 39*m**3 - 1905*m**2 - 39489*m.\nAnswer: -14832600*m**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -30. Let i = v - -36. Which is the closest to i? (a) 5 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 1. Let b(t) = -2*t**2 + 10*t + 8. What is -b(u) - 6*r(u)?\nAnswer: 2*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6*i - 3*z = 10, -2*i = 5*z + 16. Suppose -a + 0*a - c = 9, -4*c - 16 = 0. Sort 4, i, a.\nAnswer: a, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*101277.\nAnswer: -1721709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4, -10*k + 5*k - 46 = -t. Is (-9597)\/7*15\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {o: 10, x: 2, z: 6}?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = -1. Let h = -2.9 - 1.1. Let l be (-20)\/5 + (-9)\/(-6). What is the nearest to 1 in w, l, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 46*n**2 + 26*n - 4. Let g be l(-4). Suppose 3*p - 4*j - 1279 = 0, 0 = -0*p + 3*p + 2*j - 1255. Let m = g - p. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-31)\/(x*((x**29*x)\/x)\/x))\/(x**(7\/2)*x**(-35)*x*x))**(-44) assuming x is positive.\nAnswer: x**1342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.173 (b) -1 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -24 + q**2 + 7*q**2 - 9*q**2 + 0*q - 10*q. Let w be y(-6). Sort -1, w, -4 in descending order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517497.\nAnswer: 3, 17, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 8*x**2 - 14*x + 13. Suppose 5 = -5*k - 4*d + 35, 24 = 4*k + 3*d. Let t be z(k). Sort t, -1, -2 in ascending order.\nAnswer: -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*j**5 + 25452*j**4 + 398642*j**3 + 1467592*j**2 - 1549728*j + 362880 = 0 for j.\nAnswer: -140, -9, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6869 + -6863. Solve 3*x + u*x - 27 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127 * -0.015.\nAnswer: -1.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q + 27*q + 75 = 0. Let n be -4 - 5\/(q\/(-144)). Suppose -v - 4*b - n = -2*v, 5*v - b - 315 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-1\/6)))\/(l\/(l*l\/(l*l**1))))**29 assuming l is positive.\nAnswer: l**(-145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, -3\/7, 1, 12417 in increasing order.\nAnswer: -3\/7, 1, 1.4, 12417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**8\/112 - q**4\/12 - q**2\/2 - 1. Let g(s) be the second derivative of o(s). Find the second derivative of g(m) wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4725 less than 2\/881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 - 5*m. Let d(q) = -4*q**2 + 2*q. Suppose -10 = -2*n, -2*b - 2*n = -0*b - 14. Let h = -9 - -14. Let p(a) = b*c(a) + h*d(a). Factor p(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15828228 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - (-121 - -72 - 4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3469 + -32.3469. Put 0.1, t, -4 in ascending order.\nAnswer: t, -4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27714 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002439 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25127 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 2*w - 40 = 0. Let j(f) = -f**2 + 6*f - 5. Let c be j(w). List the prime factors of (6 - -23) + c + -1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4262 divided by -5\nAnswer: 4262\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52974385*o**3 - 1791006*o - 12?\nAnswer: -317846310*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2102834 (base 9) to base 8\nAnswer: -4223344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 7, j: 2, g: 6, b: 1}. What is prob of sequence ql?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*i + 10. Suppose -10 = -16*c + i*c. Suppose y + 3*x = 4*y - 27, 2*y - 18 = -3*x. Calculate the smallest common multiple of c and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85c (base 16) to base 9\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5\/6 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 1\/((-1)\/5). Let a(y) = 0 + 2*y**2 + 0*y**3 - 3 + y + 4*y - y**3. What is the units digit of a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 21 = -b + 44, -4*b = 2*o - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -17*v - 287. Calculate u(-5).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2178\/8099 + 21\/89. Do m and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - -102?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v - 1. Let f be p(2). Let c be (f\/(-9)*3)\/1. List the prime factors of (-49)\/(-5) - (-1)\/c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -2\/21, -4 in ascending order.\nAnswer: -110, -4, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(95))\/sqrt(5) + -2*sqrt(19)*-6)*5)**2.\nAnswer: 93100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4*(-7)\/(-56))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3734064 by -4.\nAnswer: 933516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 3. Let f(m) = 11*m**2. Give f(r(v)).\nAnswer: 11*v**2 - 66*v + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 23*q + 2*g = 298, 0 = -2*q + 3*g + 25 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02329942 to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.45 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162093*f**5 - 153189*f**2 - f wrt f?\nAnswer: 9725580*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10808 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3\/2 - 39*k**2\/2 + 63*k = 0. Calculate k.\nAnswer: 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -126 - 125 + 83*f**4 + 376 - 121 - 3*f**3 + 2*f in the form u*f**4 + o*f**3 + g*f**2 + v + n*f and give u.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/11915 and -43\/26213?\nAnswer: 131065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1464572911, -2929145824, -4393718737, -5858291650, -7322864563, -8787437476?\n\"Answer: -1464572913*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -890 divided by 178?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-0.032.\nAnswer: -0.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47647, -47628, -47591, -47536?\n\"Answer: 9*k**2 - 8*k - 47648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a\/a**0)*((((a*a\/a**8)\/a)\/a)\/a*a)\/a*((a**0\/a)\/a)**36 assuming a is positive.\nAnswer: a**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31090677047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**5 + 142*w**4 - 6612*w**3 + 32366*w**2 + 39116*w = 0?\nAnswer: -127\/2, -1, 0, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f**2\/13 - 19333744*f\/13 + 2920262945762\/13 = 0. Calculate f.\nAnswer: 1208359\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -201.8 - -202. What is the nearest to 0.03 in 5, -4, l, 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.31 or -3\/26?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s*s**(-1\/3))\/s)*s*s)\/s**(7\/2)*s*s**(-4\/11)*s**(3\/2))\/(s**(-3\/10)*s**9)**(-48) assuming s is positive.\nAnswer: s**(69064\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = -2*k. Solve 0 = -0*w + w, 3*p + k*w - 9 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2450)*5 - (sqrt(2) + sqrt(128) + 0 - (-5 + sqrt(20)\/sqrt(10))))**2*-5.\nAnswer: -279015 + 8350*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84172 and 42086?\nAnswer: 84172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a**3 + 21201975*a**2 - 175675830*a + 48462320 = 0. Calculate a.\nAnswer: -605779, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 0*o + 5*o)*(-7*o + 8*o - 3*o + 8) in the form r*o + v + s*o**2 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 21. Let v be j(-15). Let z(d) = 4*d**2 - 30. What are the prime factors of z(v)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/54641 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*x + 87*x + 131*x**3 + (-2*x**2 - x**2 + 4*x**2)*(x - 3*x + x) - 4*x**3 + 2*x**3 + x**3.\nAnswer: 129*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 40*s - 3. Let q be x(-2). Let y = q + 71. Which is bigger: y or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 0.810276.\nAnswer: 5.810276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f. Let l(t) be the third derivative of 0*t + 0*t**3 - 7\/480*t**6 - 2*t**2 + 1\/48*t**4 - 1\/48*t**5 + f. Factor l(j).\nAnswer: -j*(j + 1)*(7*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 206*h**2 - 13*h - 22. Let x(l) = -414*l**2 + 26*l + 48. Let a(t) = 9*u(t) + 4*x(t). Find the second derivative of a(k) wrt k.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwb when three letters picked without replacement from {z: 2, b: 2, h: 4, w: 2, y: 4}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 14. Let d = -18 - z. Let w = d + 13. Which is the nearest to -1? (a) 5 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-3)\/z))**24*z**2\/(z\/((z**4\/z)\/z)) assuming z is positive.\nAnswer: z**123","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 142042235?\nAnswer: 142042244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m. Let o(t) = -27*t**2 - 29*t**2 - 19*t**2 + 62*t**2. What is p(o(u))?\nAnswer: 52*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88849, -88840, -88827, -88810, -88789, -88764, -88735?\nAnswer: -88702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26115 + 104461\/4. Which is the closest to 0.5? (a) -16 (b) -2\/11 (c) 3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**3*p + 19*j**3 + 879*j**2*p - j**2 wrt j.\nAnswer: 48*p + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/15)\/(c**(1\/5)*c)*((c\/c**(-3\/2))\/c)\/(c*c**(-2\/9)) assuming c is positive.\nAnswer: c**(-49\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 2333617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*u**2 + 2)*(1044 - 4*u - 3*u**3 - 1044) + (-4 + 4 + u**2)*(-13*u - 13*u + 9*u**3 + 22*u).\nAnswer: 15*u**5 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 475057 - 0.3\nAnswer: 475056.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 75*p**3 + 2*p**2 + 2*p - 2. Let q = -4 - -6. Let j be w(q). Round j to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - 2. Let v be j(4). Let h = -49 + 56. Calculate the greatest common divisor of h and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14318, 14317, 14316, 14315?\nAnswer: 14314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -233244*h**2 + 107*h + 1774?\nAnswer: -466488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 106980691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 15*y**2 - 28*y - 35. What is the remainder when i(-14) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 80512 - 2?\nAnswer: 80510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 661 = -246. Suppose -3*w = -o + 26. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24219.89397 + -24220. Round k to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -443 or 3373?\nAnswer: 3373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1044*f**3 + 140*f - 140*f - 935*f**3 + 2086*f**3.\nAnswer: 107*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77006 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l - 16*l = -715 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yljxjwxyqqqjqw. Give prob of picking 2 j, 1 w, and 1 q.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/(-6))\/(24\/36). Suppose 3*w + d = 5*w. Solve 3*v = -o, -2*v = -0*o - o + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(252)*-1 + sqrt(252))*4)**2.\nAnswer: -96*sqrt(7) + 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 57 + -51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 186 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 950730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 12. Let s = 16368 + -16364. What is the closest to w in 2\/5, s, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (0 - 2))\/(-1). Suppose 5*h - x - g*x - 48 = 0, 4*x - 24 = -4*h. What is the smallest common multiple of h and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**6*i)**(-45)*(i**(12\/11))**31 assuming i is positive.\nAnswer: i**(-3588\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/777913 and -35\/19987.\nAnswer: 196811989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -174*y**2 - 2*y + 228 wrt y?\nAnswer: -348*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 35, -241, 1, 5, 3 in increasing order.\nAnswer: -241, -2, 0, 1, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(1\/20))\/y**12)**(-13\/5))**(7\/4) assuming y is positive.\nAnswer: y**(20111\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 789149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -83170 - 297?\nAnswer: -83447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/((4\/8)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4419 and -32\/40521.\nAnswer: 59687433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 21. Which is the third biggest value? (a) h (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15 + (-32)\/2)*171*-10 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {c: 1, u: 1, o: 2, w: 3, m: 1, b: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a - 2*a + a**2 + a**2 - a**2 + 4. Calculate the remainder when 24 is divided by z(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*j - 4*p + 16 = -678*j - 5, 13*j = 4*p + 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.38 + 0.02. Let m = -972 + 1001. Let j be ((-2)\/(-6))\/(m - 28). What is the closest to 2\/5 in 1, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/22))\/t*t*t**(-2\/9) assuming t is positive.\nAnswer: t**(163\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*x + 764*x = 1616 - 296 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 0.01 (c) 5 (d) -11 (e) -2\/9 (f) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -10*1\/(-2). Suppose r = n*r. Let l = -4 - -4.1. What is the closest to l in -2\/3, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ool when three letters picked without replacement from {o: 17, l: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (3 - 1)*-1. Let v be 35\/5*(-2 - -1). Let a = v - -6. Is i greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10741 + -0.1?\nAnswer: -10741.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 5, -16*m - 4*c = -3*m - 30 - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -571 divided by -3.\nAnswer: 571\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (70255\/5)\/((-5808)\/447 + 13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -706735*m + 6887175 wrt m?\nAnswer: -706735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 753.6676 millennia in centuries?\nAnswer: 7536.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**3 + 9*j + 11. Let q(y) = -9*y**3 + 9*y + 2 + 2 + 8. Let t(n) = 5*q(n) - 6*w(n). Factor t(x).\nAnswer: 3*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*a*h*k - 2*a*k*w - a*w + 3*h*k*w + 3*h*k - 2*k*w - 2 wrt a.\nAnswer: -74*h*k - 2*k*w - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cucwwwwwzc. Give prob of picking 2 c and 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.7 + 0.7. Let c be 1*(2 - -3) - 1. Let x be 1\/(8\/(-16) + (0 - 0)). What is the closest to -2\/3 in c, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109 (base 10) to base 4.\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(4050\/600)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - ((1*-6*sqrt(1100) - sqrt(1100)) + sqrt(1100))) + sqrt(1100) - sqrt(1100))**2*4.\nAnswer: 215600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7873*y - 732429. Calculate l(93).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(18759\/74) - (-1400)\/(-78).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -4*g + 2*o, 31*g - 28*g = -3*o + 123. Solve -31*z + g*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38451 - -54110. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -493404, -492040, -489760, -486558, -482428, -477364?\n\"Answer: i**3 + 452*i**2 + i - 493858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173747260 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/76 and -37\/57?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 25 - 8)*(a**2 - 2*a**2 + 2*a**2).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-81) + (2 - 38477\/(-90)). Let k = y - 423. Find the common denominator of k and 31\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/2*(-4)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. Suppose -5*m - 12 = -2*z, -4*m = n*z - 16 - 32. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -571174, -571187, -571214, -571261, -571334, -571439, -571582?\n\"Answer: -b**3 - b**2 - 3*b - 571169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**2 - 5*n - 6*n + 3*n + 18*n to the form i*n**2 + o + t*n and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f**(-1\/4)\/f)\/f)*f*f)**(-29) assuming f is positive.\nAnswer: f**(-725\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 16*p + 52. Let u be j(-5). Let l be u\/(-6)*2 - (3 + -2). Which is bigger: 2\/13 or l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 + 1520*b\/9 + 506\/3.\nAnswer: 2*(b + 1)*(b + 759)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 354782 to the power of 1\/2, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*s, 3*s = -3*k - s. Let n be ((k + 0)\/1)\/((-1)\/(-1)). Solve n + 9 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**2*s + 24*j**2 - 2*j*s*w**2 - 119*j*w**2 + 138*s*w**2 wrt s.\nAnswer: -5*j**2 - 2*j*w**2 + 138*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccujcycyjcy. Give prob of sequence cy.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n - 49. What is t(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059283688 rounded to 4 decimal places?\nAnswer: -0.0593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -349? (a) 0.13 (b) -2\/7 (c) 0.4 (d) -1\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -3 - (6 - 5)) + (24 - 1 - 65).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 7*o + 12788 = 12767, h = o + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -13*o - 4*c - 1, -3*c = 2*o + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 36, 63, 110, 183, 288, 431, 618?\n\"Answer: k**3 + k**2 + 3*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 1228*k**3 + 120540*k**2 - 3691476*k.\nAnswer: 4*k*(k - 123)**2*(k - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-3 + 47 - (67 - 48)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = x. Is 2 a factor of 95\/30 + x\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 - 2*m**4 + 26*m - 28*m + 410*m**3 + 44*m**2 + 4*m**4 - 42*m**2 as z*m + g*m**3 + n + i*m**4 + x*m**2 and give g.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*g - 2 = 0, -4*g + 9*g + 25 = -5*s. What is the nearest to 7 in 5, -1\/12, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 8*z - 3. Let y be f(9). Suppose -2 = -y*h - 56. Does 20 divide (-15)\/10*510\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(2 - 1\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11727 - -26799. Is m a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.21 - 1.75. Let s = 1.9 - 2.26. Let q = s + z. Round q to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 - 509 = -3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 685*i**2 + 794*i + 12573. Is n(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t - 50. Suppose 0 = 4*i + 3*i + 98. Let z = t - i. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 + 275. List the prime factors of t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/1989 and 9\/65819.\nAnswer: 10070307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17280 divided by -4320?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205804 and 1748.\nAnswer: 3910276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410 - 410 + 123*l.\nAnswer: 123*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1662 + -25?\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260*g**4 + 66*g**2 + 1.\nAnswer: 6240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k - 126. Differentiate 2 + k*y - 5 + 0 - 25*y with respect to y.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/15)\/((-3)\/(-10)). Solve -d*t + t + 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/3 (c) -2 (d) 29 (e) 2\/9 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 13*a**2\/2 + 3*a + 351. Let u(q) = 3*q + 4. Let f(c) = -4*c - 3. Let d(m) = 3*f(m) + 2*u(m). Give -7*d(k) - 3*s(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7 + 50*d + 0 - 100*d + 47*d. Let c(y) = -3*y + 6. Let n(b) = 3*c(b) - 4*z(b). What is n(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 8*g - 6832. Is g a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 - n**3 - n + 4*n - 3*n**2 + 4*n**2. Suppose -4 = -3*u + 2*u. What is the units digit of x(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 97385957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 877003961 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/328519 or -1?\nAnswer: -3\/328519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -169? (a) -0.2 (b) -1 (c) 1\/4 (d) 0 (e) -514\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -10, -19, -32, -49, -70?\n\"Answer: -2*p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495641105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**7\/105 + b**6\/360 + 2*b**3 + 7. Let k(v) be the third derivative of q(v). What is the third derivative of k(j) wrt j?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/(2\/30). What is the units digit of ((-255)\/(-6))\/(w + (-55)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147785203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1458*z - 1457*z - 22 = 0, 5*j = 3*z + 19. Let k(q) = q + 10. Let t be k(0). Solve j = 3*x - t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 11*b + 2*b. Let s(v) be the second derivative of 13*v + 0*v**2 - 1\/3*v**3 + 0. Calculate s(f(l)).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*u**2 - 20*u + 4*u - 29*u - 15*u + 37*u**2 in the form s*u**2 + w + o*u and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/10)\/w*w**(-10)\/w)**31)**(-1\/30) assuming w is positive.\nAnswer: w**(3751\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qzqzzq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349433 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*((sqrt(7)*1 - sqrt(7)) + sqrt(7))**2*4 + 0.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2071 = -s, 4*s - 3*h = 2*h + 8200. Is 28 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22112211 (base 3) to base 15\nAnswer: 1ca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 20. Suppose f - 4*u - 10 = -d*u, -2*u + 110 = 5*f. Suppose -2*n = -28 - f. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 196.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**3 + 32*s**2 - 56*s - 25. Calculate f(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -16*h - 30. Let u be -3 + 1 + h - 14\/(-6). What is the closest to u in 0.5, -3, -18, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 92. Which is the closest to 1? (a) 1\/3 (b) w (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n = -3*l - 10653, 3*l - 17779 = -5*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -1.2. Let r = -9131\/70 - -793\/14. Let o = r - -74. Sort n, o, 5 in increasing order.\nAnswer: n, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = -121*v + 540 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4221521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.285 and -15.90719?\nAnswer: 15.62219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3875.461 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u**2 + 25*u**2 - 4*u**2 in the form b*u + f*u**2 + w and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 (base 12) in base 2?\nAnswer: -1001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 9. Let l be -3 + ((-6)\/(-3) - y). Suppose l*d - 8 - 8 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 3*z**2 - 6*z**2. Let i(k) = -9*k. Calculate i(a(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**5 + 57*d**2 - 194*d.\nAnswer: -40*d**3 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 32 + 49 = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3708*u + 3707*u - 4*g - 18, 15 = 5*u - g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 238 (b) 2 (c) -1\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 5*g**2 + 1\/6*g**3 + 1\/12*g**4 + 0 + 1\/6*g**5 + 0*g. Is y(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33885003, -33885004, -33885005?\n\"Answer: -q - 33885002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2578968827.04914+-2\nAnswer: 2578968825.04914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 174256.53 months?\nAnswer: 145.213775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 10*b + 4. What is the tens digit of k(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7141000.552 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 9534534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -180*g + 2692. Give p(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56 + (-4 + 0 - -2). Suppose -6*z + 4*z - 4*b + 180 = 0, -3*b - 180 = -2*z. What is the highest common divisor of z and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 6\/1187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531057, 531082, 531107, 531132?\nAnswer: 531157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7))**(-3\/14)\/(c*(c*c*c**(-11)*c)\/c*(c*c**(3\/11)*c*c*c)\/c) assuming c is positive.\nAnswer: c**(2581\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(175) + -2 + sqrt(175))*1 + 2 + -3*(-4*(sqrt(175) + 0) + (sqrt(175) - (-5 + (-1 + sqrt(175) - sqrt(175))))) + 3)**2.\nAnswer: -1870*sqrt(7) + 21464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2495643nm in centimeters?\nAnswer: 0.00000002495643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630, -590, -502, -348, -110, 230, 690?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1)*((-107263)\/1702 - -63)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 260?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/31 or -18933143?\nAnswer: -18933143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 5*f**2 + 35*f**2)*(-f**2 + f**2 - 3*f**2) to the form h*f**3 + i*f**2 + b*f**4 + c*f + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3 - 1726941*c**2 - 248527964925*c - 248526237987 = 0. What is c?\nAnswer: -287823, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10143 + 11223?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-45) + 0)\/(11*18\/1782). Which is the nearest to 1\/4? (a) -75 (b) k (c) -3 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/25 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -4*v + 2*s + 16, -5*v - 4*s = 38. Suppose -2*j + 6 = 5*n + 16, 15 = -3*j - 5*n. Sort v, 0, j.\nAnswer: v, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/5)\/((-1858)\/(-13935)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(105) - sqrt(105)*-1 - sqrt(105)) - sqrt(105))\/(sqrt(343)*-2))\/(((sqrt(405)*-2 + sqrt(405))\/sqrt(9))\/(-6*sqrt(27)\/sqrt(3) + sqrt(9))).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276 divided by 19?\nAnswer: 2276\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 235079482 a multiple of 4098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + i + 11 + 22 = 0, 0 = 5*n - 4*i - 78. Suppose 8 = 5*y - y. Find the third derivative of 11*a**5 + 2*a**y - n*a**2 + 16*a**5 - 14*a**5 wrt a.\nAnswer: 780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125 + 179. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from huuul.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {y: 3, r: 1, c: 5, h: 1, a: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 11. Let h be x(11). Let k(z) = z + 4. Let i be k(0). Sort i, h, -5.\nAnswer: -5, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -141774, -141805, -141826, -141831, -141814?\n\"Answer: x**3 - x**2 - 35*x - 141739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -1488 - (-3 - (1 + -8)). Suppose c - l - 416 = 0, -5*l + 233 = -3*c + j. Is c a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*n + 5 = -8*n, 5*z = -n - 1. Suppose z = 4*l - 9*l + 335. What is the remainder when l is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 53600000 = -5*w. What is w rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 - (0\/6)\/(-15). What is the closest to 2 in 0, z, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -17. Which is smaller: a or 2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2 (b) 0.2 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by 15730.\nAnswer: -97\/15730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 10, -100 = -3*u - u - 2*t. Do 13 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-10)\/280*(-4)\/(-29).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/5647 or 0?\nAnswer: -18\/5647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -124*z + 118*z + 306. Let p = z + 5. Calculate the remainder when p is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -146 (c) -5 (d) -1\/833 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*c = 105, w - 100 = -2*w + 4*c. What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12059 - 23163 = 1678*k + 40914 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051023137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1001*q**3 + 13348*q**2 + 9*q + 1046468 wrt q.\nAnswer: -6006*q + 26696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -3766.\nAnswer: -3766.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 15*m - 253. Calculate d(-24).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-2\/5)\/(d**2*d**(2\/19)) assuming d is positive.\nAnswer: d**(-40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1799025 by -425.\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 - (-2780)\/(0 - -4)?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:03 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 672655 + -351125789\/522. What is the common denominator of 139\/522 and q?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 2:31 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 4)*(3 + 6*l - 3) + l + 3*l - 3*l + 4*l + 0*l - 6*l + (2 + l - 2)*(1 - 2 - 1) + 0*l - 2*l + 3*l - 3*l + 2*l + 4*l + 100 - 100 + 4*l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-9)*(-1)\/4. Is -9 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e4f (base 16) in base 4?\nAnswer: -321033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 22*r + 10. Let j be p(-18). Let b = 559 + j. Suppose b = 2*k - 0*h - 5*h, -k = -3*h - 84. Calculate the highest common divisor of 22 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3458 - -76007\/22. Suppose 2*l - 118 = 734. Find the common denominator of i and l\/(-160) + (-12)\/30.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 8. Let a be -3*((-9)\/24 + (-176)\/(-128)). Let r(l) = -2*l - 7. Determine a*r(b) - 2*v(b).\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141 and 1297811?\nAnswer: 3893433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -724*c**3\/3 + 783*c + 330. Differentiate m(i) wrt i.\nAnswer: -1448*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/3 + 2*d**3\/3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/21 and -181\/85140?\nAnswer: 595980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -v - 64 - 63, 3*p = -24*v - 20*v + 22 for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14\/18)\/(11753\/(-1679))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8989 rounded to 2 decimal places?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -603\/4. Let n = m + 1\/12. What is the closest to 2\/5 in -1, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 9*v - 8. Suppose -k + 5*r = 0, -2*k + 5*r - 7 = -2. Let z be l(k). Let f = -13 - z. Solve 2*o - 9 = -3*x - f*o, 0 = -3*x + 3*o + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1831, 7252, 16267, 28858, 45007, 64696, 87907?\n\"Answer: -3*i**3 + 1815*i**2 - 3*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - 735\/(-45). Suppose n - 1 = -i + 4, -2*n - 5*i = -u. Let h = n + 24. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1af - -2?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2174, 5, 2, -1, 0, 8 in increasing order.\nAnswer: -2174, -1, 0, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 799171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3324 divided by -4\nAnswer: -831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19b20 - 0?\nAnswer: -19b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -96, -174, -268, -384, -528, -706, -924?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 3, -3 in decreasing order.\nAnswer: 67, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003537 rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*w**2 + 51*w - 170*w + 58*w + 61*w.\nAnswer: -130*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/187 (b) -3\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/8)\/((-15)\/(-10)). Is -2 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, m: 1, c: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(405)*-5 - ((sqrt(5) + (sqrt(40)\/sqrt(2))\/sqrt(4) + sqrt(5))*-1)**2.\nAnswer: -45*sqrt(5) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 8*x + 7. Let n(c) = c**3 + 20*c**2 + 64*c - 3. Let z be n(-16). Give h(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023.5634 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 46*i + 803. What is the remainder when b(-46) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 6:32 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*c**2 - 97*c**2 - 110*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 1\/3*x**3 - 5\/6*x**2 - 1\/6 + 2\/3*x = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(275) + (sqrt(275)*-3 + sqrt(275) - sqrt(275))**2 + 0 + (2*(0 + sqrt(11))*6)**2 + -1.\nAnswer: 5*sqrt(11) + 4056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let r be q(-4). Solve 2*b = -0*b - r, b + 22 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*16\/(-4)*2\/44.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/666 and -7\/1332.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + -2 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 979367*u**5 - 16*u**2 - 1772 wrt u.\nAnswer: 58762020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -6\/13 (c) 55 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 94. Let y = 93 - c. What is the fourth smallest value in 0.2, -2\/21, -6\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2\/4)*0. Let h(m) = 0 + n*m + 2*m - 2. Suppose -20 = -4*z, 5*z = 2*c + 4 + 13. What is h(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f**2 - 10*f - 4. Let m be k(4). What is the second derivative of -14*u**m - 27*u - 44*u + 50*u**4 wrt u?\nAnswer: 432*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.00722 - 0.39278. Let a = 29\/93 + 2\/93. What is the nearest to a in u, -1, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279 + 1835. Solve -s*t + 1557*t = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167400540 divided by 83700270\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 395, -5 in decreasing order.\nAnswer: 395, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -9ac8d70?\nAnswer: -9ac8d6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114827*a + 117353*a - 118722 = 0 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12221 + 203?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0)**40*k\/(k\/(k**(-1)\/k)*k)*k**(-2\/11))**(-30))**(-2) assuming k is positive.\nAnswer: k**(-2100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 0.1 (c) 2 (d) 10 (e) -0.3 (f) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.21100274 - 0.211. Round k to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 1, b: 1, n: 10}. Give prob of picking 1 n and 1 i.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/444 and -5 - (15 + (-57505)\/2877).\nAnswer: 60828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23716*z**2 + 47190*z**2 - 4*z**3 - 23474*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5585, -5591, -5617, -5675, -5777, -5935?\n\"Answer: -2*w**3 + 2*w**2 + 2*w - 5587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**3 + u**2 + 7*u + 14. Let c(f) = 4*f**3 + 6*f + 11. What is 5*c(y) - 4*k(y)?\nAnswer: 4*y**3 - 4*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 + -113. Solve 0 = m - 5*s + 17, 1 = 4*m + b*s - 4*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*q + 7*q + 85 - 87 - q**4 + (1 - 1 - q**2)*(-q**2 + 0*q**2 + 2*q**2).\nAnswer: -2*q**4 - 11*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*o + 32 = 0, o = 5*b + 4*o - 11. Let t = b + -6. List the prime factors of t + 4 - (-21 - -4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4 + 1321436661*u**3 - 2295*u**2 - 78031.\nAnswer: 48*u + 7928619966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmgg when four letters picked without replacement from qmgqgqmqqmmrgqgrgq.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 328, 4\/11, 0.2, 0.1, -0.3 in ascending order.\nAnswer: -0.3, 0.1, 0.2, 4\/11, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7 (b) -29512 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v + 1. Let w(t) = -8*t. Let i(b) = 7*g(b) + 6*w(b). Let f be i(-6). Calculate the remainder when 16 is divided by 56\/6 - f\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73927285 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16283, -21378, -26473, -31568, -36663, -41758?\n\"Answer: -5095*j - 11188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 17*l - 2. Let w be 2\/3 - 4\/6. Suppose w = 4*v - v - 138. Calculate the remainder when v is divided by c(18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203108 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13970)\/(-16764)*552\/5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 13 = -3*x. Let f = -27 - x. What are the prime factors of 63\/(-14)*f\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*l**4*s**3 + 25*l**3*s**3 + 204*s**3 + s**2 wrt l.\nAnswer: -20*l**3*s**3 + 75*l**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231 - -251. Is 2 + o\/(-11) + 3996\/44 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + 122001323?\nAnswer: 122001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17341446 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62460 and 2610?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22613 >= -7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*v + 103, -6*m = -m - 5*v - 85. Suppose -3*x = -2*l - 25, -l + m = 5*x - 1. Suppose 0*q + 20 = 5*b - 3*q, x*q + 24 = -b. Is b >= 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1299.\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffxfxfxffff. Give prob of picking 2 f.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*36\/24*5\/((-75)\/90)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 + -37 - 31) + (-8 - -1) + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 44*y**2 - 644*y + 1426. What is i(9)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12668 (base 9) to base 3\nAnswer: 102202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 461? (a) -0.2 (b) 0.4 (c) -6\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6268 - 15938 = -5*k, -7718 = -4*k - 2*f. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -23*a + 8. Suppose -s + 12 = 19. What are the prime factors of w(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 (base 12) in base 5?\nAnswer: 42232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(931) + -1)**2 + 3.\nAnswer: -2793 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -6 - (8 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7597770 divided by 30270?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4395 and 1098.\nAnswer: 1608570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59, 127, 201, 281?\n\"Answer: 3*x**2 + 59*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 222111*z + 444218 = 0.\nAnswer: 2, 222109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*f**3*v**2 - 9*f*v**3 - 12*f*v + 311*v**3 + 2*v + 5 wrt f?\nAnswer: -51*f**2*v**2 - 9*v**3 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0307 in -4\/39, 0.105, -2?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(9\/5)*-3. Suppose 0 = 3*f + 3*m - 15, -21 = -s*f - 2*m - 5. Suppose -c + f = -3*v, 2*c + 0*v - 8 = 2*v. Is c >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002130823934 to seven decimal places.\nAnswer: -0.0002131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (77 + -58 + 43 - (-3 + 2 + 13)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52754556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5\/5 - 24*s**4\/5 + 63*s**3\/5 - 54*s**2\/5.\nAnswer: 3*s**2*(s - 3)**2*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6 - 16 = 5*q, -18 = 2*q - 3*h. Let v be ((-12)\/(-4))\/((-8)\/(64\/q)). Solve -5*x - r = -4*x + v, 4*x = r - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4261030 (base 10) to base 4\nAnswer: 100100102212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158787 and 5881.\nAnswer: 158787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/74052 and -16\/433059?\nAnswer: 88344036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -7) + 381 + -378 + (-35)\/1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.58, 2, 1\/3, 1\/5, 190.\nAnswer: -0.58, 1\/5, 1\/3, 2, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -31493300 to the nearest 100000.\nAnswer: -31500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 40. Suppose -p - u = -3*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfrrrkkmfjrrrjrrr. What is prob of sequence ff?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxhxxxxhxxxhxx. Give prob of picking 3 x.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -83\/3. Let d = -366 - -366.03. Put -4, n, d in ascending order.\nAnswer: -4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -16. Let t = i - 63. Let k = 55.999926 + t. Round k to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/12)\/((-295)\/177))\/((-3)\/(-2))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 31. Calculate the greatest common divisor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58908038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 30 - 5 = 0. Let f be (-11 + 6\/2)\/(-7 - s). Suppose 2*p - 3 = p. Solve -2*g + p*g - f*q = 22, q + 3 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -126.49 and -1?\nAnswer: 126.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4 + 30*u**3 - 72*u**2 = 0. What is u?\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -509\/6 + 85. Let g(v) be the second derivative of 0 + 2\/3*v**3 + 0*v**2 + w*v**4 + 3*v. Solve g(n) = 0 for n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4524446*o*s**2 + 17960897*s**2 wrt o.\nAnswer: -4524446*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10928 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 16. Suppose -27*f - 3*f = -2*f + 196. Determine c(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507, 690, 887, 1104, 1347, 1622?\nAnswer: 1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 9*w**2 - w + 1. Let c be t(-9). Let k = -22 + 24. Suppose k*y + 3 = 11. Solve y*x + 2*z - c = x, -4*z = -20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 221760*z**2 + 2*z - 299510 wrt z.\nAnswer: 443520*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -4*z**7\/7 + 149*z**4\/2 - z**3\/3 + z**2 - 866*z + 8526. Find the third derivative of t(v) wrt v.\nAnswer: -480*v**3 + 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 104269949 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -490868 rounded to the nearest 1000?\nAnswer: -491000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 6:13 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 22*q + 48. Calculate r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 35 + d**2 + 47 + 49 - 175.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26683538 * -2.\nAnswer: 53367076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 81 - ((-3 + -1)*1 - -7). What is the greatest common factor of f and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 165 = 39*p. What is the least common multiple of 4 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((1 - (5 + -9)) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10915 + (-28)\/8*2. Suppose l - 8737 = -2*t, 4*l = -4*t + 6564 + u. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79224 divided by 4?\nAnswer: 19806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 27 = -18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*t = -17 - 75, -4*r + 101 = 5*t. What is the remainder when r\/(-40) + 2086\/10 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 265*y**8\/42 - 61*y**5\/60 - y**3\/2 - 1742*y**2. What is the third derivative of w(z) wrt z?\nAnswer: 127200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - j + 3. Give l(-8).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1412, 1323, 1234?\n\"Answer: -89*c + 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(1\/4))**(6\/29)*((k**(-1\/3)\/k)\/k*k)**9)**(1\/2))**5 assuming k is positive.\nAnswer: k**(-3435\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 147?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0 + 1 - sqrt(117))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 7*q**2 + 4*q**2 + (-2*q + 1 - 1)*(4 - 4 + q) - 2*q**2 - 4*q + 2*q**2 + 2*q**2.\nAnswer: -q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25032 (base 6) to base 2.\nAnswer: 111001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 17*z - 13*z + 28 = 0, -y - z - 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480215, 1920812, 4321801, 7683182, 12004955, 17287120, 23529677?\nAnswer: 30732626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 245?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 5)*(-14*m**2 + 52*m - 24*m - 29*m) in the form d*m**2 + u*m + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(192))*-3*3 + -3 + (sqrt(192) - (3 + sqrt(192) + sqrt(192) + 3)) + (3 + sqrt(192) + -4)**2.\nAnswer: -96*sqrt(3) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**3\/6 + 5*t**2 + 6*t. Let y(n) = -n**3 - 8*n**2 - 8*n - 7. Let f be y(-7). What is x(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4494?\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**5\/60 + 5*a**4\/24 - a**3 + a**2 + 4*a. Let w(v) be the first derivative of j(v). Give w(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by -219016.\nAnswer: -117\/219016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -179847, -179843, -179839, -179835, -179831?\n\"Answer: 4*h - 179851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 278*q**5 - q**4 - 8*q**3 - 653*q**2 - 12*q wrt q?\nAnswer: 16680*q**2 - 24*q - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**3 - 3*n**2. Suppose 101 - 128 = -9*h. Let q(d) = 5*d**2 - 7*d. Let z(t) = 3*t**2 - 4*t. Let k(w) = -4*q(w) + 7*z(w). Calculate h*k(a) + m(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2244750 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 11. Let c be i(-6). Suppose -94 = -3*n + 131. Suppose -5*s = -20*s - n. Sort -3, s, c.\nAnswer: s, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -866 (b) -0.2 (c) 3 (d) 0.3 (e) -2\/7 (f) 480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 16, 1 in descending order.\nAnswer: 16, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13638348 is divided by 4546098.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -305, -297, -289, -281, -273?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 + -8.6. Let p = -2.76 - -2.96. Let d = 1.9 + -0.9. What is the smallest value in s, p, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 8*d - 1. Let i(h) = 9*h**2 + 12*h + 4. Let s(j) = 20*j**2 + 31*j + 9. Let c(b) = 7*i(b) - 3*s(b). What is 4*c(t) + 5*w(t)?\nAnswer: 2*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1771 and 259?\nAnswer: 65527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5867?\nAnswer: -5867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q**2 + 91*q + 14. Let s be r(13). Solve -y - s = -8 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3846316?\nAnswer: 2, 53, 18143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 1 + 18 - 1401*f**2 - 9. Let y be i(-5). What is y rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/267*(13\/2 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*q - u, 3*q - u - 3*u - 98 = 0. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:19 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 63\/2*z**2 + 0*z - 272. Let u(f) = 7*f. Determine u(w(g)).\nAnswer: 441*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 12629*p + 176294. Give w(-14).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-55)*((-3)\/14)\/((-186)\/434).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66b676 (base 14) to base 5\nAnswer: 1343121104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/5*a**2 - 8\/5*a - 2\/5*a**3.\nAnswer: -2*a*(a - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 17*d**2 + 19*d + 30. Let k be s(-15). Suppose -k*m + 204*m - 45 = 0. Solve -4*r - 4 = -3*l, -6*r = -l - m*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45742672 divided by -554?\nAnswer: 82568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9578*j**2*y**2 + 300*j**2 + 14*j*y**2 + 301*j + 601 wrt j?\nAnswer: -19156*y**2 + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227031 by -581.\nAnswer: 32433\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(-2 + sqrt(76)))**2 + -3.\nAnswer: -216*sqrt(19) + 2814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*j + 97, -3*m - 2*j - 13 - 44 = 0. Let d(r) = -r**3 + 2*r**2 + 6*r + 7. Let t be d(-2). Suppose 5*w + t = -2*f, -6*f + 10*f - 8 = 0. Is m > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/135 and -28\/75?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14)*4473\/(-10224)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 143, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.9 + -21.6. Let a = x + 46.2. Let t = a - 37.5334. Round t to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8798132743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.232 take away -1042081604?\nAnswer: 1042081604.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:00 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3066 + -3062. Which is the closest to -1? (a) m (b) -2 (c) 2\/33 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 362 = -l + 2*a, -4*l - 2*a = -478. Suppose -l = -61*w + 56*w. Suppose 0 = 3*z + w - 60. Solve -2*p = 3*r + 2, 2*r + z = p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/678*2)\/1. Let y = 665\/4407 - w. Let z = 0.1 - 0.1. Is z at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43744 or -0.056?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 2107274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-3318)*(-2 + (0 - 2)). Are w and -0.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 - 276 + 587 + 2*y**2 + 591 as u*y + x + m*y**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o - 21. Suppose 0*l + l = 2*g - 3, -l - 5*g - 17 = 0. Let k be c(l). What is the greatest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1165099.990572 - 1165107. Let r = 0.013228 + b. Let l = r + 7. What is l rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i - 81. Let f be z(11). Solve -s + 3 = -n, 1 = 3*s - f*n + 6*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13143 - 13143 - 333*b)*(-3 + 3 + b**3) - b**3 - b**3 + 0*b**4 - 3*b**4 - b**4 + 5*b**4 - 3*b**4 + (2*b - 4*b + b)*(-b**3 + b - b).\nAnswer: -334*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Suppose k + 2*i = 0, -2*k - 2*i + 2 = i. Suppose -4*l - r*q = l + 95, -k*l = -3*q + 45. What is l rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7726467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/59 in -0.1, 1\/11, 4, 54?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b + 9. Let t be v(0). Let a be (-13)\/(-4) + t\/12. Suppose x + n - 7 = 0, 2*x - a*n + 5 = 25. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3201 - 1450. Let o = s + -862. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3*i = 5, -2*c - 3*i = -4*c - 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7690, -4, 17 in decreasing order.\nAnswer: 7690, 17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*u**3 - 36*u**3 + 27*u**3 + 18*u**3.\nAnswer: 191*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/13, -17, 395.6, -0.56 in increasing order.\nAnswer: -17, -0.56, 0.1, 2\/13, 395.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from fakfkynynaynafaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*v - 1263 = 2*g, 22*v - v = -4*g + 26*v + 29 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 664296 and 1771456?\nAnswer: 5314368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546 (base 7) to base 2.\nAnswer: 100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*a**2 + a**3 - 28*a**2 + a**2 - 9*a**2 + 0*a**3 in the form n*a + i + o*a**2 + s*a**3 and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 45*s**2 + 4*s - 1. Suppose -10*a + 49 = -11. What is the remainder when z(-2) is divided by ((-2)\/a)\/(4\/(-420))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(637)*-2 + sqrt(637) + sqrt(637) + 5 + sqrt(39)\/sqrt(3))**2 - ((sqrt(13) + sqrt(208) + 4 - sqrt(13) - sqrt(13)) + sqrt(13) + 4)).\nAnswer: 6*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 + 110222222221?\nAnswer: 110222221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2716 + 2717. Which is smaller: -6\/211 or w?\nAnswer: -6\/211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.07 - -1.93. Let i = -0.81296 + h. Let g = 0.048 - i. Round g to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 1218 + 701 + 517.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2253 - -2261. Solve -59 + 11 = f*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.045 + -36.045. Let y = 18 + n. Let a = -18.2 - y. What is the nearest to 0 in 0.4, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(4\/9))*j*j*j*j\/(j*(j\/j**(8\/9))\/j)*j assuming j is positive.\nAnswer: j**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1503650 and 15950?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 265*h**2 + 65. Let f(z) = 24*z**2 + 6. Calculate -6*d(r) + 65*f(r).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 37. Let w(i) = -i**3 + i. Let f(p) = 2*p**4 - p**3 + p - 1. Let v(d) = r*w(d) + 2*f(d). Find the first derivative of v(u) wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 8. Let t be x(4). Solve 5*r + t*y - y = 14, r = y + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*k**3*w - 31*k**2*w - 17*w - 94 wrt k?\nAnswer: 54*k**2*w - 62*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 155*a + 5643. Determine r(-36).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1971 + -418. Is r 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 5:39 PM and 3:35 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 20.45 (b) 2 (c) -2 (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9497504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3*g - 6, 6*n + 2*g = 10*n + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 10*g + 11. Let o be d(-10). Factor -3*a**3 - 4*a + 3*a**2 - a**2 + o*a + 2.\nAnswer: -(a - 2)*(a + 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13404017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14826*d**3*y + 52*d**3 + 868*d**2*y - 198*d**2 + 5*d wrt d?\nAnswer: 88956*y + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 77\/22*4\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 + 3 = 0. Let v be m\/3 + 140\/255. Put -5, v, -4 in decreasing order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(3 - 4 + 3)*(-3*c + 3*c - 2*c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + 10 + (-21 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**17\/m)**(2\/75)*(m*m**(-2\/3))**(-1\/10) assuming m is positive.\nAnswer: m**(59\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = -0*z. Let r be (6\/4)\/(z\/8). Suppose 3*b - 8*b - 5*y + 11005 = 0, -b = -r*y - 2196. What is b rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9)*(f\/f**(-1\/49))\/f*(f*f**(-2\/13))**(-38))**(-2\/19) assuming f is positive.\nAnswer: f**(370990\/108927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 1, h: 7, c: 1, s: 4, j: 2}. Give prob of sequence sf.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8613171, 8613172, 8613173?\nAnswer: 8613174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 13210534\/7 and 1887220 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) + 30\/36. Let k = -0.21 - 0.09. Which is the nearest to 0? (a) 0 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1222242 to the nearest 1000.\nAnswer: -1222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {c: 5, e: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2113 (base 5) to base 16.\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 3*y**2 - 2*y**4 + (0 - y**2 + 0)*(3*y**2 + y**2 - 3*y**2) - y**4 + 3*y - 3*y - 107*y**4 - 137*y**4 + 26*y**4.\nAnswer: -222*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 9*z**2 + 9*z + 10. Let h be 1\/1 + (-6 - 3). Let p be x(h). Let n(o) = -5*o**2 - 1 + 0*o**p + 4*o**2. Determine n(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 3827*b.\nAnswer: -3827*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 577003402 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: Find the second derivative of 326*c**4 + c**2 + 3*c**2 - 4*c**2 - 58*c - 192*c**4 wrt c.\nAnswer: 1608*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296955929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t - 40 + t**3 + 4*t**2 - 4*t + 42 + 3*t. Let i be (-10)\/(-6)*(3 - 6). Calculate u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119 - 125)*-1*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 - -95 - (2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337015391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39308, -39350, -39394, -39440?\nAnswer: -39488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 10. Let f(b) = -b**3 - 12*b**2 + b + 12. Let m be f(-12). List the prime factors of r(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (408\/(-714))\/(18\/84*4\/(-42)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**3\/3 + 29*b**2 - 12*b - 1838. Differentiate w(o) with respect to o.\nAnswer: -2*o + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 11 - (-9)\/3 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 182730947.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/2, -1\/4, 75, -0.2, -41 in decreasing order.\nAnswer: 75, 1\/2, -0.2, -1\/4, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 269285, 538632, 807977, 1077320, 1346661, 1616000?\n\"Answer: -v**2 + 269350*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -407 - 8*v**2 + 5*v**2 + 2*v + 10*v + 30*v wrt v?\nAnswer: -6*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*h = 14, -2*o + 0*o + 1 = h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -952274 = -952262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159020178 to the nearest integer?\nAnswer: 12610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(612)) - sqrt(612) - sqrt(612) - sqrt(612))**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.02, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/13, -12, 62, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -232*f**2 + f. Let o(n) = 67478*n. Determine o(u(j)).\nAnswer: -15654896*j**2 + 67478*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 4*g - 10*r - 1844, 3*r - 1858 = -4*g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 5. Let q be d(7). Let x(v) be the first derivative of 2*v**3\/3 - v + 16302. Determine x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3842 - -4090. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -50. Solve 3*a - p = 5*c - 4, 2*a + 4 = 5*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489560 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 798 divide 97590203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 2 (c) -171 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1867*q**2 + 2*q + 9298?\nAnswer: 3734*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -4*u**4\/3 - u**3\/6 - 3*u**2. Let c(d) = -55*d + 13. Calculate the remainder when c(-2) is divided by y(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -239\/12 + 20. What is the smallest value in -0.05, b, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 25*q - 139. Determine h(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 2. Suppose x + 3 = -l - 4*l, q*x + 3*l + 15 = 0. Let d = 35 - x. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22732915, -45465825, -68198735, -90931645, -113664555, -136397465?\n\"Answer: -22732910*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8440000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -37*y - 104. Let r be n(-13). Suppose -8*l - r = -3401. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.6 - -23. Let w = -12 - -10. Let f = w + l. Which is the biggest value? (a) -2\/3 (b) -2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 - 2193*l\/2 + 1095.\nAnswer: 3*(l - 730)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 12269*z**5\/60 + 6313*z**3\/3 - 6932*z**2. Differentiate p(y) with respect to y.\nAnswer: 24538*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1965 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(700)*-2 - sqrt(700))**2 + 2*sqrt(252)).\nAnswer: -6300 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 less than 1190.545192?\nAnswer: 792.545192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*p + 8*f - 1, 14 = -4*p + 2*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39543 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 32543*o - 520687. Give y(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 25684998*d - 494789341695003.\nAnswer: -(d + 38527497)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0196456398 to 4 decimal places.\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9954357?\nAnswer: 3, 7, 474017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -775*o + 618*o + 20 - 920*o - 93 wrt o.\nAnswer: -1077","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 19*d**2 - 4\/3*d**3 - 1\/24*d**4 + 0 + 0*d. Give i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 + 30*z**3 - 5*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5991 by 3.\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r + 54 + 104 = -76 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*d = -2*b + 15, -2*b + 9 = -3*d. Suppose -2*x - 9 = -b*u - u, -3*u + 19 = 2*x. Solve 3 = 2*a - u*f + 2*f, f - 17 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3 - 139406*q**2 - 975728*q + 1115136 = 0. Calculate q.\nAnswer: -69696, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/45 - 1*539\/99 - -4941.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 4:12 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 9*a + 5. Let t be p(-9). Is (20\/t)\/((-4)\/(-402)) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3740?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, t: 1, e: 2, a: 5, g: 3}. What is prob of picking 2 g, 1 p, and 1 e?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 89338, 89340, 89342?\n\"Answer: 2*n + 89336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11 = -3*w, 0*w + 15 = -5*v - w. Suppose 0 = 5*l + 5*b + 35, -4*l = -0*l - 2*b - 2. Put -2\/3, l, v in ascending order.\nAnswer: v, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from fwohwzb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 273?\nAnswer: 272.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3283 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -4*z + 5*p, -59086*p = -16*z - 59083*p + 72 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -743, -2088, -4617, -8912, -15555, -25128?\n\"Answer: -97*u**3 - 10*u**2 - 636*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, k: 3}. Give prob of sequence tt.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9f3ee - 3?\nAnswer: 9f3eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 16544586*i. Let o(q) = 13*q - 1. Calculate d(o(j)).\nAnswer: 215079618*j - 16544586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/(13\/2613). Let g = o - -140. Solve -3*v - 4*j = -g, -11 = -4*v + 8*v - j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*g**4*y**3 + 174236*g**2*y**3 + 21535173*g*y**3 wrt g?\nAnswer: 600*g**2*y**3 + 348472*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7832, -5, 37, 1, -65, 4, 2 in decreasing order.\nAnswer: 37, 4, 2, 1, -5, -65, -7832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5258 and 2868.\nAnswer: 31548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4303359203457 + 5\nAnswer: -4303359203452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.4, 62184?\nAnswer: 62184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3603853502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 93.3. Let j = 0.7 + 2.3. What is the nearest to y in 0.3, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 11}. What is prob of sequence brbr?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 49*c**2 - 1.\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(242) + (sqrt(242) + (sqrt(242) - (sqrt(242) + sqrt(242) + -1)) + 3)**2 - ((1 + sqrt(242))**2 + 3)).\nAnswer: -226 - 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 + 5.2. Let g = i - -0.1. Let y = -2 - -2.2. What is the smallest value in 5, -2, y, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 + 1 = -5*q, p - 5 = -q. Let o = 738 - 743. Sort q, 5, o, -3.\nAnswer: o, -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.08 + 23. Let a = m + -24.32. Let y = -24.153 - a. What is y rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164 - 171. Let k(z) be the third derivative of 1\/120*z**6 + 0*z + 4\/3*z**3 - z**2 + 2\/15*z**5 + 3\/8*z**4 + 0. Determine k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 307 + -3?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 242, 256, 286, 338, 418?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 = -4*m - 3, 6 = -2*s. Let r be (-35)\/20*(m + -3). Let n(b) = 5*b - 34. Let y be n(r). Is 2.9 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 0, 31405, -4 in increasing order.\nAnswer: -61, -4, 0, 31405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9659*c. Let h(o) = -2716*o**2. Calculate h(q(j)).\nAnswer: -253392699196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119073*w**2*y**2 + 10*w**2*y + 2*w*y**2 - 22*w*y - 148*w + y**2 - 5*y - 1 wrt w?\nAnswer: -238146*y**2 + 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6. Find the second derivative of o*y + 4*y**4 + y**4 + y - 3*y**4 wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5399085\/16 or 337442?\nAnswer: 5399085\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*o + 43, 2*z = -5*o - 54 - 52. Let d = 12 - o. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**4 - 28568*a**3 - 50893764*a**2 + 408522400*a - 817960000 = 0.\nAnswer: -3575, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2560469.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -5 - 0) + -244 + (61 - -27).\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -76+-14662.89217\nAnswer: -14738.89217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 11254*c + c**2 - c**2 - 2*c**3 - 11254*c.\nAnswer: -2*c**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -569 - -797. Find the third derivative of 19*a**6 - 15*a**2 + i*a**4 - 228*a**4 wrt a.\nAnswer: 2280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*v + 0*v + 44 = 0, 0 = y + 5*v + 53. Is -38 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((92\/8)\/(-23)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -132*x - 1129. What is s(-9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 173.83 + -9856.83. Let f = a - -9627.31. Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0924 from -1878849514.\nAnswer: -1878849513.9076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 26 = 4*g. Suppose -3 = g*d - 4*d. Let q(p) be the third derivative of p**5\/60 + p**4\/6 + p**3\/3 + 6*p**2. What is q(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(208) + sqrt(13) + (sqrt(13) - (sqrt(13) + -1*sqrt(13) - sqrt(13))*6).\nAnswer: -1 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 102 = 2*w. Suppose -4*l - 3*h = -0*h - 128, l - 4*h = w. Suppose 4*c - l = -11. Solve -c*u = -2*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7036 divided by 4.\nAnswer: -1759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 458983 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -1, -0.3, -1\/2, -1.806, -39, -0.1?\nAnswer: -1.806","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12c3a - 4?\nAnswer: -12c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 divided by 5412?\nAnswer: 631\/5412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 5*o + 29*o**2 - 12*o**2 to the form n*o + p*o**2 + x and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001101 + -11011011000?\nAnswer: -100001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/14 - 38\/(-133).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 1. Let d be (-2)\/(4\/(-4) + 3). Let s be c(d). Is s bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19858 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 + x**2 - 50*x + 490. What are the prime factors of u(12)?\nAnswer: 2, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37a50 (base 12) to base 9.\nAnswer: -124876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 332 = -3*i, 2*i = -3*i - 20. Does 41 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/4347 and 47\/189?\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**5\/60 + j**4\/24 - 5*j**3\/6 - 3*j**2\/2 + 2*j. Let a(l) be the first derivative of y(l). Determine a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 129*n**2 - 4*n + 3*n + 2*n.\nAnswer: 129*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0 - 1\/24*r**4 + 0*r + 2\/3*r**3 + 4*r**2. List the prime factors of s(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 110*q**2 + 74*q - 427. What is the tens digit of t(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = 25. Let y = 3 + -2. What is the remainder when -2 + -6*u\/(-10) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 6*o**2 + 8. What is the remainder when 228 is divided by m(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -91*m**2\/2 - 358*m + 4909. Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17254155 (base 8) in base 9?\nAnswer: -7506766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2342555 (base 6) to base 7.\nAnswer: 1020026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54059733 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1920154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6)*9\/(-6). Let s(m) = 0*m**2 - m**2 + i*m**2. Let y(l) = -2*l**2. Calculate y(s(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**4\/4 - b. Let s(d) = -17 + 2*d + 9 + 8. Determine s(v(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -855379272 rounded to the nearest one hundred thousand?\nAnswer: -855400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/(-580)*(-2)\/3.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k + 79 = 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 17069703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 112 = -4*c. Suppose -z + 4*k = 5, z + 3*k = 6*z - 60. Let h = z + c. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01924533787 - -20.94436324613. Let h = t + 0.036450416. Let y = 21 - h. Round y to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z\/z**10*z**(-5)\/z*(z**(-3))**(-7\/4) assuming z is positive.\nAnswer: z**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.2. Let l = a + -0.9. Let f = 1 + l. What is the smallest value in -1\/4, 1\/7, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 7*q - 5. Let h be f(5). Suppose -407*n + 409*n = -142. Let b = n + 86. Sort -5, h, b.\nAnswer: -5, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3004 + 3014. Calculate the greatest common factor of 1785 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v - 12. Suppose -v*d + 2 = -o - 0*o, 14 = 4*o - d. Solve o*l = -7 - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 11 = 4*u + 2*n, -4*u + 14 = -2*n. Suppose 81 = -u*m + 3426. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -0.8 (c) 2\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*-2 - -2. Suppose -2 = q - h. Let i be (-1 - q)\/(-3) + 4. Solve 0 = 2*w + 2*f - 18, 2*w + 0*w = i*f - 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16679775 by -105.\nAnswer: 158855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3166549\/(-9) - 8\/36. Let r = j + -201161. What is r rounded to the nearest 10000?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*l = -4*d + 112*l - 231, -6*d - 2*l = -5*d + l + 62 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: In base 2, what is 1 - 1011011?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (45900\/10710)\/((-7)\/((-686)\/(-4)))\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.3 - -16.7. Let u = -0.01 - 2.99. Put 7, u, m in increasing order.\nAnswer: u, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5822*h**2 + 49383 wrt h.\nAnswer: -11644*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 14665050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/5 + 8*q**4 + 92*q**3\/5 - 560*q**2 - 2370*q - 1800 = 0. What is q?\nAnswer: -5, -4, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/4*(-5 + 107) and 2 - (2 - (-162)\/52)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -886522 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 = -3*q, -l + 4*q = -6*l + 18. Let v(o) = 1 + o + 2 - l*o + 0. Determine v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) - 0\/(-1). Let o(m) = 118*m - 1159. Let w be o(10). Suppose -5*x + 1 - w = y, 5*x = 4*g - 124. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, i: 4, r: 8}. What is prob of sequence uuu?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*n**2)*(-n - 4*n + 6*n) + (-1 - 2 + 2)*(5*n**3 + 8*n**3 - 3*n**3) + (2*n - 4*n + 4*n)*(-14*n + 14*n + n**2).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/372)\/((21\/49)\/(54\/21)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4\/2 - 13425887*y**3\/2 - 45063563443557*y**2\/2 + 315445521418299*y\/2 - 135190972274427 = 0.\nAnswer: -6712947, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8010200 and 410440.\nAnswer: 248316200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j + 4*y = -19, 5 = -5*y. Let m(b) = 10*b**3 + 14*b**2. Let x(q) = 2*q**3 + 3*q**2. Give j*m(n) + 14*x(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + m + 5 = 2*m + 4, 16 = -22*k + 9*m - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -452663 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923.7673 millennia to months.\nAnswer: 11085207.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - m + 26 = 9, 5*m + 15 = 5*x. Let j be (0 + x\/(-310))\/((-28)\/(-105)). Are j and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = 0, 0 = -3*r + 57*j - 61*j + 162. Suppose 0 = -l - l + 44. What is the least common multiple of r and l?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 1071.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 287605\/1077 or 266?\nAnswer: 287605\/1077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 52. Calculate the remainder when l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287956, -575944, -864002, -1152166, -1440472?\nAnswer: -1728956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0 - 3\/4*s**4 + 0*s + 6*s**2 + 0*s**3. Let l(h) = 2*h. What is p(l(z))?\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -612890 or -612888?\nAnswer: -612888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97235 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -8.665098912006.\nAnswer: -8.165098912006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90353, 361503, 813459, 1446221, 2259789, 3254163, 4429343?\nAnswer: 5785329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 5 - 1 - 6. Determine k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/36 and 95\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l - 13. Let s(u) = u - 1. Determine -p(v) + 2*s(v).\nAnswer: -3*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2443883, -2443875, -2443865, -2443853, -2443839, -2443823?\n\"Answer: c**2 + 5*c - 2443889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.98 + 0.02. Let r = -15.9 - -15. Let i = -0.4 - r. Which is the closest to n? (a) -4 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30630 (base 9) to base 15\nAnswer: 5eb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**2 - g - 4. Let n(c) = -3*c**2 + c + 2. Calculate -2*d(z) - 5*n(z).\nAnswer: z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = -3*k. Let u = 5 - k. Let x(d) = -2*d**2 - 2 + 1 - d**u + 5*d - d**2 - d**2. What is x(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94199 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -114, -0.4, 5, -0.2?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:20 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and 172.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 0 (b) 5 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/7 + 779134*f**3\/7 + 779140*f**2\/7 - 1558272*f\/7 = 0.\nAnswer: -2, 0, 1, 389568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -16*c + 12. Let d(i) = -3*i + 2. Let r(n) = 6*d(n) - y(n). Suppose -4*s + 3*s = 0. Let p(f) = s + 0 - 10*f. What is r(p(m))?\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 69949695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**8\/2240 - n**6\/480 - 28*n**3\/3 + 4*n + 9. Let b(s) be the second derivative of o(s). Solve b(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*n - 214*n = 4284 + 3336 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(4 + ((sqrt(2299) + -2 + sqrt(2299) - sqrt(2299))*1 - (1*sqrt(2299) + 3)) + 5) + -5)**2.\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r - 1. Suppose 6 = 3*y + 2*u, 0*u = 5*u. Let d be 0 + (3 - y)*-2. Let w be ((-1)\/(-2))\/1*d. Calculate q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111142 + -2504?\nAnswer: 104234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*x**3 + 113*x**3 - 12*x**3 + (-2 - 2 + 2)*(6*x - 6*x + 3*x**3).\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l - 17. Give z(-22).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 8*t - 35544 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((11\/10)\/11)\/(4\/2). Let i(s) be the first derivative of -1 - 1\/5*s**3 + 0*s - g*s**4 - 1\/5*s**2. Factor i(o).\nAnswer: -o*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1106 in -1\/8, -2\/3, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -2. Suppose b - c = -0*b. What is the remainder when 31 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 6, m: 1, y: 1, r: 2}. What is prob of sequence kd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 134997858 a multiple of 786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18777 - 18512. Calculate the remainder when z is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 67 = -2*t, 2*t + 11 + 0 = -d. Let x = -6 - d. Solve 8 = 4*i, x*v + i = 3*v + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -465\/34 + 6637\/425. Calculate the common denominator of n and 2\/6 + (-239)\/(-120).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, 21, 71, 141, 231?\n\"Answer: 10*z**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 15 - 10 = 0. Let m = 1.1 - 0.8. Which is the closest to n? (a) m (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Let f = 0.29 - 3.29. What is the closest to d in f, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1636619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7.3. Let q = -2696\/9 + 300. What is the biggest value in 4, q, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 11*d**2 + 29*d + 197. What is the hundreds digit of u(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j, 0*a - 5*j + 95 = -4*a. Let w be a - (-3)\/(-4 + 1). Let n be 498\/21 + (-6)\/w. What is the highest common divisor of n and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 2*v - 3*v**3 + 49 - 5*v**2 + 41 - 134 in the form m + p*v + w*v**3 + d*v**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144 + -141. Let j(p) = -4 - 10*p**3 - i*p**3 + 5*p**3 - 4*p. Let s(m) = 7*m**3 + 3*m + 3. What is -3*j(h) - 4*s(h)?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290 - 173. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 - -45. Let d = -330.6 + n. Let l = d - -53. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1790\/(-20))\/((-3)\/(-12)). Let z = d + 928. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/10 and -45\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257832307.\nAnswer: 257832307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, r: 2, m: 1, h: 1}. Give prob of picking 1 h and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1221.6 + -1222. What is the nearest to 1.9 in 3, 1\/3, -47, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 137072?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41509182 and 3432.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2 + 4*t**3 - 13927 - 5*t**3 + 13944 + 0*t**3 + 10*t. Determine p(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -2*-1*sqrt(117))\/(-1*sqrt(324)) + 5 + -4)**2.\nAnswer: sqrt(13)\/3 + 49\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 31*y**2 + 170*y + 835. Let a(j) = -6*j**2 - 2. Let v(p) = -10*a(p) - 2*l(p). Factor v(x).\nAnswer: -2*(x + 5)*(x + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196*0.1815169\nAnswer: 35.5773124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*b**2 + 1169825*b - 2439665?\nAnswer: 10*b + 1169825","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 18. Give o(23).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 41\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 293, -127, 0.1, 0.6, -5 in increasing order.\nAnswer: -127, -5, 0, 0.1, 0.6, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/185 - -27118\/1665. Is -1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -69, -1, 3, 56 in descending order.\nAnswer: 56, 3, -1, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 25. Let a be 14 - (2 - y\/(-1)). What is the remainder when 34 is divided by 552\/40 + (-12)\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -2\/51, 8 in decreasing order.\nAnswer: 8, -2\/51, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-2 - (5 - 11 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 16) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4545\/12 - 1\/(-4). Let t = -253 + d. Let i = -45 + t. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from neepnpgnggpnpnnngnp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 = -11. Suppose 5*s - v = 7. What is the second derivative of 0*j**s - 5*j + 4*j**3 + j**3 wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 5*y - 6. Let z(w) = w**2 - 2*w - 2. Let a be z(-2). Let s(v) = -v + 3. Let c be s(a). Let l = -3 + c. Give m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**8\/23520 - 13*t**7\/4410 - 52*t**4\/3 + t + 59. Let l(w) be the third derivative of b(w). What is i in l(i) = 0?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38, 0, -1.269, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2012290 by -5.\nAnswer: -402458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -e932?\nAnswer: e940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*u - u + 6*u**4 - 10*u**4 wrt u.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from kkokfofofkoo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4379 is divided by 219?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1134 + 2577. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111101212 + 202?\nAnswer: 1111102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 39765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + 0 + sqrt(3)))**2 + sqrt(24)\/(sqrt(8) + (sqrt(512)*2 - sqrt(512) - sqrt(8))).\nAnswer: 1281*sqrt(3)\/8 + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.4 - -2.6. Let r = -10 - -10.15. Let d = r - 5.15. What is the closest to 1 in d, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 4*m - 8. Let f be a(6). Let c be (-12)\/(-3) - (-5)\/(-5). Suppose -6 = -c*s, -y + 4199998 = -f*y - s. Round y to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.001782 + -1.9707. Let m = -0.041 - -0.01. Let f = m + q. Round f to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32843227.\nAnswer: 32843227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172213303 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: Let k(n) = n**2 + 5*n + 7. Let s(u) = -u**3 + 2*u**2 + 5*u - 3. Let c be s(3). Suppose 2 + c = -w. Let z be k(w). Solve 3*h - 2 = z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 32980192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8301 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -1.302488?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799025049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 74 + (2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 5, b: 7, g: 5}. What is prob of sequence pl?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -639, -2681, -6085, -10851?\n\"Answer: -681*q**2 + q + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -5, -376 in decreasing order.\nAnswer: 7, 5, -5, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40260907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 2\/5 (c) 1\/8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = 3. What is the least common multiple of 5 and 2*(9\/(-6) - u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 195, 152, 71, -60, -253, -520, -873?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*c + 12 + 19*c - 68624*c**3 + 68630*c**3 - 49*c as p*c**2 + n + j*c**3 + u*c and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 + -28)*1*(-2)\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4251 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-18)\/27)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m + 5*g - 10 = 0, m + 7 = -4*g. Suppose 2*q - 3*v = 56, 0 = m*v + 8 + 2. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22606636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 230489 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/2*(-2)\/(-3). Suppose -k*f + 76 + 312 = 0. Suppose f = m - 30. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 116*g - 117*g + 2 + 5. Let c(k) = k - 8. Determine 5*b(r) + 4*c(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-2)*(3 - 2)\/1. Is 2327 - (-2 + 1 - k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-450440)\/(-320) - (-3)\/8. Calculate the greatest common divisor of o and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62564054921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*192\/(-80)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87613256?\nAnswer: 2, 19, 23, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 24 = 4*v. Is (2 - 52\/v)*27\/(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2204374085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15615 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 71398703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10091349*k**2 + 18983879*k wrt k.\nAnswer: -20182698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from ljhj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiimiimiiiiiiiiiii. Give prob of sequence ii.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/21)\/b**(2\/17))\/((b**(-1\/32)\/b)\/((b*(b*b**(-23))\/b*b*b)\/b)) assuming b is positive.\nAnswer: b**(-230555\/11424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9012 (b) -5 (c) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let m(r) be the second derivative of 0*r**3 + 0 + 0*r**4 - 13\/60*r**5 - 3\/2*r**2 - 17*r. Let p(g) be the first derivative of m(g). Give p(t(v)).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**2 - 2*o - 3. Let g be q(-1). Suppose g*p = -7 - 1. Let m(u) = 734*u**2 + 3*u + 2. Is m(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i*i**3)\/(i**(1\/14)*i\/i**(2\/7)) assuming i is positive.\nAnswer: i**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09379 * 5.\nAnswer: -0.46895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1291 or -169?\nAnswer: -1291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 1\/4*z**4 + 0 + 0*z - 1\/3*z**3 - 19*z**2 - 1\/60*z**5. Determine q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45419007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.009331871\nAnswer: 0.009331871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i + 1. Let j(b) = 30*b**2 - 6*b - 6. Calculate -j(n) - 6*u(n).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5932988 and 1932?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 9 = 2*m. Let c(r) be the first derivative of -r**4\/4 - r**3 + r + 11. Let b be c(m). Solve -4*q + 26 = -3*u, 0 = -4*u - 2*q + 1 + b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/5 - 6\/(-15). Suppose 3*f - h*f = -8. Solve -24 = 4*c - 4*w, -w - f*w + 26 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -536 - 31?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 - 338. Let l be r\/(-2)*2\/10. Let b = -118\/5 + l. Is b >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*r = -158*r + 66. Sort -16, 4, 5, r in descending order.\nAnswer: 5, 4, r, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeccycyy. What is prob of sequence ec?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*j + 2289 = -603, 28 = -4*j. What are the prime factors of l?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*s + 96*s + 71*s.\nAnswer: 534*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2 - 36*f + 10. Let w = 43 - 34. Let a be s(w). Put -3, -2, a in increasing order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -10*l + 88. What is the common denominator of l and 79\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**3 - 5*n**2 + 5*n - 43. Let r(y) = y**3 - 2*y**2 + 2*y - 19. Calculate -7*r(s) + 3*w(s).\nAnswer: 2*s**3 - s**2 + s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*x - 8930, 0 = 4*x - r + 1892 - 9023. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 7 = -3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66728 and -27?\nAnswer: 66701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100222 (base 4) in base 10?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19268180 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**4\/4 + 4*s**3\/3 - s**2\/2 + 4*s - 2. Let r be i(4). Suppose r = p - 5*p + 76. 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 qth term of 24, 35, 46, 57?\n\"Answer: 11*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140240605?\nAnswer: 5, 28048121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*y = y - 6, 3*i + 5*y - 73 = 0. Let g = 52 - 5. Calculate the remainder when g is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 3:46 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 4:39 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/63 and -91\/2088.\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c - 40 = 174*c + 66 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n + 2. Let i(k) = -k**3 + k - 2. Let v be i(-2). Suppose -3*u = 2*m - 16, v*u = -3*m - 4 + 26. What is the units digit of q(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02286 - 111.725?\nAnswer: -111.70214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 188 and 193 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w + 8. Let b(s) = 3*s - 3. Let t(d) = -7*b(d) - 2*g(d). Let x be t(6). Let z be x\/(3\/(-33)*1). Which is smaller: z or 12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1710, -3424, -5140, -6858, -8578, -10300, -12024?\nAnswer: -13750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/25)\/(b*b*b*b**(4\/7)*b*b*b))**(-3\/8))**(-48) assuming b is positive.\nAnswer: b**(-20952\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-66)\/18 - -4)*231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*j**3 + 4*j**2 - 337 wrt j?\nAnswer: -63*j**2 + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7031\/12012 - 2\/1001. Let u = w - -109\/60. Find the common denominator of u and (-57)\/4*1\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203440 is divided by 203436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, x: 1, h: 1, y: 1}. Give prob of sequence jxh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - ((0 - 0) + -9). Suppose -16 = -24*b + 20*b. What is the greatest common divisor of b and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 184 + 4*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1302\/(-93))\/(33\/3)*-11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3\/5 + 66396*g**2\/5 - 597747*g\/5 + 265692 = 0.\nAnswer: -22141, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 3:38 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 191*w. Let t(q) = q**2. Determine a(t(b)).\nAnswer: -b**4 + 191*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -57. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + (sqrt(147) + 0 - sqrt(147) - sqrt(147)) + sqrt(3) + sqrt(3)*-2*3 + sqrt(3) - (-2*(sqrt(432) + 0) + -3))**2.\nAnswer: -28*sqrt(3) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1290, -1278, -1252, -1206, -1134, -1030, -888?\n\"Answer: n**3 + n**2 + 2*n - 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkakckckkcknaccka. What is prob of sequence cccn?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*d + 3 - 1 = 0, -858 = d - 861 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -59*q**6\/30 - q**4\/6 - 3156*q**2 - 2*q + 149. Differentiate u(b) with respect to b.\nAnswer: -236*b**3 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.2 (b) 1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5958057 to the nearest integer?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -51*f**2 + 111*f - 123. Let k(b) = 82*b**2 - 166*b + 184. Let s(d) = 5*k(d) + 8*o(d). Give s(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - 101. Solve -v = -2*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*t**3 - 12*t**2 + 2*t - 22441 with respect to t.\nAnswer: 42*t**2 - 24*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q + 12 = 2*o, 5*o = -2*q + 9. Suppose 3*z - 3 = k + o, -5*k = -2*z - 9. Suppose 5*x - 47 - 14 = k*c, -55 = -5*x + 5*c. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**3 - 3*c + 3. Let i be r(1). What is the units digit of (377 - (i - -6)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*270.7.\nAnswer: 108.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 37*s**2 - 23*s**2 - 2*s**2 + (-1 - 3 + 3)*(s**2 + s**2 + 0*s**2).\nAnswer: -64*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -844.999959 - -845. Round w to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56896 = 3*h - 3*v - 56929, -4*h = -h - 83*v - 513 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*i - 28*i - 32*i - 90*i - 42*i + 203*i.\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/650 and 1\/413946.\nAnswer: 10348650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -5, -0.4, 22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125.45444 rounded to the nearest integer?\nAnswer: -1125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 2. Let c be i(0). Let h(b) = -b**3 + 3*b**2 - 2*b. Let n be h(2). Factor -v**c + n*v**2 - v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgggguwxnuxgzxx. Give prob of sequence wzu.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - q**5 - 2*q + (-4*q**3 + 3*q**3 + 3*q**3)*(2*q**2 - 2*q**2 - 5*q**2) + (3 - 3 - 2*q)*(-2*q**4 + 3*q**4 + 0*q**4) + q**3 + 3*q**5 - q**3.\nAnswer: -10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.54, -12, -4, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.54, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 10*q + 25888*q**3 - 25878*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/16 and (588\/56)\/(-3*(0 + -5)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -531 - -536. What is the closest to 2\/15 in -2\/7, k, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**4\/12 + 22*j**2. Let d(b) = -b - 7. Give d(h(n)).\nAnswer: 2*n - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 9*j**2 + 9*j + 19. Let c be u(10). Solve c*y - 8 - 37 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 11) to base 8\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 e when four letters picked without replacement from {e: 1, n: 1, h: 13}.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 805*k - 806*k - 35004 = 0, 2*q + 4*k - 34984 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103068034 to the nearest one hundred thousand.\nAnswer: 103100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + g - 2. Let i be p(-2). Suppose 2*d - 18 = -w, -i*d - 3*w = -4*w - 36. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*g - 7 + 3, w = -4*g - 14. Let y = -2348 - -2347. What is the third smallest value in w, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*t - 2165*t + 430*t + 435*t + 431*t + 431*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t + 1. Let i(o) = -o. Suppose 6*p = 7*p + 5. Let y be (3\/2)\/(42\/(-8) - p). What is y*i(x) - 2*m(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6851*x**3 - 8*x**2 + 87*x - 524. Let o(c) = 4566*c**3 - 5*c**2 + 57*c - 350. Let z(i) = 8*o(i) - 5*r(i). Find the second derivative of z(t) wrt t.\nAnswer: 13638*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3)*(5*d - 3*d + 2*d)*(6 + 8 - 6)*(4 - 5 + 7).\nAnswer: -192*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Let p = o - -4. What is the units digit of 3*4\/(p\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/5))\/f**(-2))\/(((f*f**6)\/f)\/f**(-2\/13)) assuming f is positive.\nAnswer: f**(-179\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -112. What is the remainder when r is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1316 and 812?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 112. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59*q**4*x**2 - 842*q**3*x**3 - 39442*q*x**3 wrt q.\nAnswer: 708*q**2*x**2 - 5052*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -6*x**5\/11 - 2821224*x**4\/11 + 11285004*x**3\/11 + 5642424*x**2\/11 - 3077730*x - 25391232\/11 = 0.\nAnswer: -470208, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 (base 9) in base 13?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5, f: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 608 and 1728.\nAnswer: 32832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q**(4\/7)*q)*q)\/(q\/(q**5\/q*q)*q))\/(q*q\/(q\/q**(2\/5)))**25 assuming q is positive.\nAnswer: q**(-221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.43 + -1.23. Let m = 859 - 858.5. Which is the nearest to -2\/3? (a) 0.3 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 12:26 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -8555, -4, 14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3627)\/(-117) + -2*1\/2. Find the third derivative of -j**2 - v + 22*j**2 + 81*j**3 + 29 - 5*j**2 wrt j.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**4 + 4256*k**3 + 1048500*k**2 - 6406344*k + 9667296 = 0?\nAnswer: -668, -402, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5 - (-20)\/300*87?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from wwjwjhwwjawh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1724766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 17*j**2 + 15*j - 53. Does 59 divide m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 8. Let m be n(-10). Suppose m*l = 4*l. Let w be (6\/(-8))\/(2\/8). Put 1\/6, l, w in descending order.\nAnswer: 1\/6, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4600\/(-6028))\/1 - 4. Let n = v + -20\/137. Calculate the common denominator of n and -34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 47*s - 1687. Let m be z(31). Is m at most -1602\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 10:45 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 557525758 to the power of 1\/4, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 1740 = 484. Let g = v + -155. Solve g*i + i = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/18 and 27\/12166.\nAnswer: 109494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9799796*g**2*w**4 - 147*g**2*w - 24*g**2 + 2*g*w + 2*g - 36*w wrt w.\nAnswer: -117597552*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 8*l + 5*x - 1, 0 = -8*x + 7*x - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4.7, 2\/5, -796\/25 in ascending order.\nAnswer: -796\/25, -4.7, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14)*w\/w**(-30))\/(((w**(-22)\/w)\/w)\/w**(-31)) assuming w is positive.\nAnswer: w**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/56)\/((-3)\/(-2)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 3*j**2 + 0*j**2. Let z(x) be the first derivative of -x**2 + 2. Calculate z(d(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50\/(-26) - 8\/104. Let w(t) = 6*t**2 + 6*t - 2. What is w(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188233990 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 732, 1182, 1734, 2388, 3144, 4002?\nAnswer: 4962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524709?\nAnswer: 3, 173, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.69, 2, 12.4 in decreasing order.\nAnswer: 12.4, 2, -0.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 9*a - 514. Let b be t(31). What is the greatest common factor of b and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70, -62, -44, -10, 46, 130?\n\"Answer: w**3 - w**2 + 4*w - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 329. What is the hundreds digit of z(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12825)\/4275*1*5*-1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/12635 and -11\/295.\nAnswer: 745465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 42*g. Let w(k) = -2*k**2 + 57*k. Give w(c(j)).\nAnswer: -3528*j**2 + 2394*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7295937474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v - 10. Let t be (3 + 190\/(-70))*35. Is t less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*t**3 - 78 - 6876*t + 78 + 6876*t.\nAnswer: -295*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 350 = 50*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, 4, -30448.\nAnswer: -30448, -160, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-12))\/((-3)\/72). Suppose 0*r = -r - a. Let h = r + 6. Which is smaller: h or -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 10*z + 7. Let t be g(9). Is 5 a factor of -5 - -3 - -9 - t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-8))\/((-2)\/(-624)). Suppose -13*h - g = -585. Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 i, and 1 l when three letters picked without replacement from bqzznil?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:29 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24.66? (a) 0.3 (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -1\/6*h**4 + 2*h**2 + 0 + 1\/3*h**3 + 5*h. Factor n(w).\nAnswer: -2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 9*m**2 + m - 6. Suppose -5*f - 4*w + 310 = 0, -2*f + 4*w = -61 - 91. Let z(o) = 3*o - 144. Let s be z(29). Let i = f + s. Give l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148657 divided by -61?\nAnswer: -2437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**3 - 169395*m**2*y + 2*m*y - 116739*m + 2*y + 10 wrt m.\nAnswer: -24*m - 338790*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, -1\/2, -1, 102 in ascending order.\nAnswer: -1, -1\/2, -0.22, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 + -115. Calculate the remainder when f is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*(2 + sqrt(242)) - sqrt(242)) + -4 + (6*(sqrt(242) + -1 + sqrt(242)))**2 + (4 + -1 + sqrt(242) - sqrt(242)))*-1.\nAnswer: -34887 + 1551*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*3 + (sqrt(88)*-4)\/sqrt(8).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.056, -0.2, 1.628, -1\/4, 3\/5, -2?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-55)\/880*46?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*j + 70. Suppose 2*z - j = -8. Solve 31 = 5*g + 3*d - 0*d, 0 = z*g + 2*d - 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsx when three letters picked without replacement from {m: 1, h: 6, n: 1, x: 2, s: 2, d: 7}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 11) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 + -497\/5. Which is the nearest to -0.03? (a) 2\/5 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 6195\/1062 + (-5)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -178*y + 358 + 596 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.58 + 1.6.\nAnswer: -4.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = 3*n. Let d = 0 + n. Let s be d - -1 - (-4 + -2). Solve -s = -4*c, -2*q = -5*q - 2*c - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*s. Let k(r) = 2*r**3 - 3*r**2 + r - 1. Let o be k(2). Suppose s = -o*b + 4 + 11. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.836334 rounded to two dps?\nAnswer: 15.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(252)*3*1 + -5*(sqrt(252)*3 + 4)*6)**2.\nAnswer: 136152*sqrt(7) + 2194432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13421 divided by -311\nAnswer: 13421\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -72, -107, -164, -249, -368, -527, -732?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**3 + 1. Let z be m(1). Let n = 0.4 + -0.8. Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 4\/5, 873 in descending order.\nAnswer: 873, 4\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8815842359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.89 and 0.2?\nAnswer: 0.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -1250, -1067.\nAnswer: -1250, -1067, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1322752 + -2?\nAnswer: 1322750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/198 and 95\/7128.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1092\/1728 + 32\/9 + -4?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34241666*b**3 - 6*b**2 + 17*b - 1070 wrt b.\nAnswer: -205449996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34954 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -4)*(-1 + -5). Suppose 3*l - 5*m - 10 = -u*m, -4*m = 4*l. Suppose -s = -3*s - 5*i - 10, s = l*i + 25. Solve -8 - 2 = -s*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 18181*w**2 + 1313*w - 9134. Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2945981 is divided by 810?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(12\/(-10) + 2). Suppose -k*n = n. Suppose 24 = 2*c - n*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32546477 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 67*i - 71. Determine w(-35).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 1)*(13*o**3 - 3*o**3 - 197*o**3) + 2*o**3 - 4*o**3 + 0*o**3 as n*o + d*o**2 + m*o**3 + q and give m.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**7\/12600 - s**6\/900 - s**5\/150 + s**4\/6 - s**2. Let f(o) be the second derivative of n(o). Factor f(c).\nAnswer: -(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1441323433 - -30?\nAnswer: 1441324013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = -0*q, 0 = s + 2*q. Let g be s\/6 + 1726\/(-66). Let x = 26 + g. Which is the third smallest value? (a) x (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57.94 - -59. Let j = f - 0.06. What is the nearest to -1\/4 in -3, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1*sqrt(128) + sqrt(128))\/(1*sqrt(576)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 160753483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**4\/8 + 5*i**3\/6 - i**2. Let f be -5 + 12 + -11 - -146. Let o = f + -138. Give w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 6\/5, -3, -2\/15 in decreasing order.\nAnswer: 6\/5, -2\/15, -3, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) 3\/7 (b) 2\/17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.47, 9, -2\/3, 164\/35, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*s - 32*s - 102 = 0. Let y(m) be the first derivative of 0*m**4 + 0*m + 9 + 1\/54*m**6 + 2\/45*m**5 + 0*m**2 + 0*m**s. Solve y(b) = 0 for b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 622204439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 8 = 0, -4*y + 10 = 5*i + y. Suppose i*q - 13 = -5. Suppose q*c - 523 = 4*n - 149, n + 890 = 5*c. Is c a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2890657\/80 + 36134. What is the common denominator of 109\/70 and l?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + v - 1. Let u(p) = -5*p**3 + 2*p**2 + 4*p - 9. Let x(z) = -6*o(z) + u(z). Calculate x(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c - 1. Let u(r) = -28*r + 4. Let m(a) = 7*g(a) + 2*u(a). What is the tens digit of m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 + 501?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-30)\/(g\/(g\/g**(1\/2)*g)))\/(g**34\/g)**24 assuming g is positive.\nAnswer: g**(-1643\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0 - 15. Let n = -25 + 9. Let r = n + 31. Solve 8*u + r = l*u, c = -2*u - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000137344 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/27 (b) -2 (c) 2 (d) 3\/19 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 0.04 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - i)*(0 + 0 - 2*i) - 1 - i**2 + 1 + 6*i - 6*i + 2*i**2 + (-23*i**2 + 9*i**2 - 42*i**2)*(7 + 2 - 7) in the form l + r*i + s*i**2 and give s.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 412 - 226. What is the highest common factor of x and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/((j**(-3)*j)\/j)*j**(-2\/3)*j**(-3\/2))\/(j*j*j\/j**(1\/3)*j*j**(-2)*j\/(j\/(j*j**5)*j)*j*j**(-6)) assuming j is positive.\nAnswer: j**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.307 rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 4, m: 6}. What is prob of sequence rmm?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1370592 - 95.\nAnswer: -1370687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 112?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4407*q = -4403*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -150*h + 2555. Let u be w(17). Solve -5*s - 2*d = 10 - 2, s + u = 3*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/5)*r)**(4\/3)\/((r\/((r*r**(-4))\/r))\/(r\/(r*r*r\/(r\/r**(-1\/2))))))**(-45))**(-16\/5) assuming r is positive.\nAnswer: r**(-2616\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, 76, 239, 466, 757, 1112?\n\"Answer: 32*y**2 + 3*y - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.51988 millennia to years.\nAnswer: 77519.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from futopotootox. What is prob of sequence txpt?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*i = -8*i + 56, -32 = -g - 4*i. Solve g = 7*k + 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -11. Suppose -4*n = m, -8*m + 12*m - 20 = 4*n. What is the biggest value in -1\/2, -4, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -9, 5\/39 in decreasing order.\nAnswer: 5\/39, 2\/19, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 77*31618\nAnswer: 2434586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 2*f**3 + f**3)*(514 - 529 - 32*f**2 + 6*f**2).\nAnswer: -26*f**5 - 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46036, 184412, 415036, 737908, 1153028, 1660396, 2260012?\nAnswer: 2951876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.3, -87, -77, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 48523 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.58, 2, -1\/5 in decreasing order.\nAnswer: 2, -1\/5, -2.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29465 divided by 295?\nAnswer: 5893\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2)\/(90\/(-108))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3266800 to the nearest 10000.\nAnswer: 3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 9 = -3*m + t, -2*m = -945*t + 950*t - 1 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 1496*g + 52612. Calculate q(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -901359, -4 in ascending order.\nAnswer: -901359, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8070, -16123, -24104, -31977, -39706, -47255, -54588, -61669?\n\"Answer: 6*i**3 - 8095*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6137161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162 - 160. Suppose -3*t = -7 + 1. Suppose 3*a - t*r = 61, -4*r = g*a + a - 85. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1171 + 1196. Let a(p) be the first derivative of -p**4\/4 + p**3\/3 - p**2 - 2*p + 8. Let l be a(-1). Solve -3*k = l*k - n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154 times -24\nAnswer: -3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 4*m**2 + m**2)*(172 - 578 - 1015).\nAnswer: 4263*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 290590203?\nAnswer: 290590198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1707780, -1707795, -1707822, -1707861, -1707912?\n\"Answer: -6*n**2 + 3*n - 1707777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 - 77019?\nAnswer: -76621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 1)*(0 + 0 - f + 3) + (-1 + 3 + 0)*(f + 2*f - 5*f) + 2*f - 6*f + 2*f to the form t + n*f and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*(-9)\/24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*g + 94, -5*g - 5*p - 85 = -0*g. Let k = g - -15. Suppose 0 = -4*c + 4 + 16. Sort 2, c, k in descending order.\nAnswer: c, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/6 and (-2871)\/847 - 4\/22.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q + 27 = -29*q. Let k = 8 + 2. What is the derivative of k - 15 + 7 + l**q wrt l?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 164.9329\nAnswer: 2473.9935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -17. What is the nearest to o in -3\/7, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238 - 482224*r**3 + 482172*r**3 - 238.\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**5 + 233558*i**4 - 4362365*i**2 wrt i.\nAnswer: -300*i**2 + 5605392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, g: 5}. What is prob of picking 4 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*j = -4*j - 35, -4*s + 4*j - 44 = 0. Let i = 17 + s. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6189857214 minus -5?\nAnswer: 6189857219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735262835?\nAnswer: 5, 17, 8650151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -411106?\nAnswer: -411108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = -47. Suppose -13*b + g*b - 402 = 0. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 11285 = -11725. Suppose g + 1134 = -5*c - 12255, 2*g = -c - 2676. Let s = a + c. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + b + 57 - 75, 15 = 5*w + 5*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 + 161*b**2 - 74*b + 2217. Give k(53).\nAnswer: 3913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24105 (base 6) in base 10?\nAnswer: -3497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4 - 72 + 1217*g + 211*g - 132*g**3 - 330 - 382 + g**4 - 508*g**2 = 0 for g.\nAnswer: -28, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4275 - 0?\nAnswer: -4275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((7 - -11) + -8 - 33)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 357517 divided by -63\nAnswer: -357517\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 4 - -3 - 1. Let w = -1 + q. Let l be 5 - 8 - (-1 - w). Solve l*i = 4*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 + 9*i - 5. Let r be f(11). Suppose -2*y - 4*s + 166 = -0*y, 5*y - r = 4*s. Suppose 51 + y = 2*a. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/5*m**3 + 4\/5*m - 6\/5*m**2 = 0. What is m?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7043, 103, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 239444 + 18862 - 997 = 0. What are the prime factors of z?\nAnswer: 19793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -421*j**2\/2 + 543*j + 379. What is the first derivative of x(p) wrt p?\nAnswer: -421","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000092835 rounded to 7 dps?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**4 - 360*b**2 + 42*b - 176625.\nAnswer: -8*b**3 - 720*b + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-1 - -2)) + (2 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 1259591.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 546 - 134067\nAnswer: -133521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.779 + 0.179. Let g = 29 + y. Let o = g + 2.60002. What is o rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -39298*f + 2227. Is j(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 453639583 and 29649?\nAnswer: 9883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 2672 = -314. Suppose -5*b + 1297 = -3*s, 4*s = b + 6*s - q. Calculate the greatest common divisor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-512)\/(-192))\/((-3)\/9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36001 is divided by 826.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 19*u**2 - 6*u - 8. Is b(-2) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411 (base 6) to base 10.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 19*i + 42*i = 1725. Solve -5*n - 38*c = -35*c + i, -2*n + 5*c + 21 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-111960)\/(-150) + (-3)\/(-5) is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z - 1320 = 5*z. Solve 0 = -10*s + 16*s - z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1540492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2749 or -0.1642?\nAnswer: -0.1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 2*n + 2. Let b(r) = 1 - 4*r**2 + 15*r + 5*r**2 + r**3 - 14*r. Determine -6*b(q) + 3*z(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512.2245 millilitres to litres.\nAnswer: 0.5122245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6597 - 5575*l**4 + 5526*l**4 - 10*l**2 - 3*l**2 + 3*l**2 wrt l?\nAnswer: -196*l**3 - 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/171457?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**37\/h*h**5 assuming h is positive.\nAnswer: h**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1.032 (b) 3 (c) -2 (d) 17\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(2\/(-1)) - -5. Suppose -3*m = -g*n - 1, -4 = -0*m + 2*m - 5*n. Let j(o) = -o**3 + 3*o**2 + o - 4. Calculate j(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 18 = 2*o + 2*o, -2*o - 16 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000254693963 rounded to six decimal places?\nAnswer: 0.000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -8, 59, 5\/2, 1, 0.044, 0.\nAnswer: -8, -2\/9, 0, 0.044, 1, 5\/2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1064*d**5 - 426*d?\nAnswer: -21280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f*f**(-14)*f)\/(f**(-5))**11 assuming f is positive.\nAnswer: f**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 166349418171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (447 - 898 + 22*i**2 + 443)*(-2*i + 3*i + 17*i) to the form w*i**2 + t*i**3 + m + j*i and give t.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 193192 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1*sqrt(252) + sqrt(252))\/(sqrt(64)*-2).\nAnswer: -7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2\/6 + 10825*n\/3 + 23436125\/6 = 0.\nAnswer: -2165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1 - -12*2\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -14.99. Let p = h - 0.21. Which is the nearest to -2\/7? (a) -5 (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 13. Let j(b) = 16*b. Calculate x(j(p)).\nAnswer: 512*p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-5)))**(-1\/9)\/(k**(-5\/2))**49)**28 assuming k is positive.\nAnswer: k**(30730\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0.3 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 542\/5 + -108. Put 3, r, 9 in decreasing order.\nAnswer: 9, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by -49\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -1\/30*s**5 - 1\/120*s**6 + 4\/3*s**3 - 12*s**2 + 0 + 1\/6*s**4 + 0*s. Solve q(u) = 0 for u.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/4351 or 2\/20539?\nAnswer: 2\/20539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 699000 to the nearest 10000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**2 - 260*w - 10. Let p(h) = -h**2 - 26*h - 1. Let t(y) = 10*p(y) - s(y). Let m(g) = -335*g**2. Determine t(m(x)).\nAnswer: -2020050*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.4. Let h be ((-7)\/4)\/((-5015)\/4720). Which is bigger: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 19 + (-3 + -1 - -8) - 0\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275 + -271. Let k(g) = 5 - x - 17*g + 5*g + 9*g + g. Determine k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.078 times 2\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - u - 2 = 0, 3*w + 10 = -5*u - 0. Suppose -z + 4 - 2 = w. Solve 2*q + g = -g + 8, -4 = -z*q + 2*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -59. What is the greatest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 - 18*k**2 + 3*k**3 - 25 + 20*k + 19*k**2 + 6*k**2 + 3. Calculate q(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kktk when four letters picked without replacement from kkkjjkjjktt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 980522*y**3 + 9378*y**2 + 63*y wrt y.\nAnswer: 5883132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -218, -440, -662, -884, -1106?\n\"Answer: -222*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Suppose -h = b*h - 15. Let m(y) = 3 - 5 + h + y. Calculate m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x + 4. Let g be i(3). Let d(h) = -4*h + 6. Let z be d(-3). Suppose g*j + 8 = z*j. Is 2\/17 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(64)\/(sqrt(100) - sqrt(4)))\/(sqrt(648)*-1).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/53226 and 82\/99?\nAnswer: 585486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4299 - -4542. Calculate the highest common factor of k and 2025.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a - 62*a + a**3 + 239*a**3 + 79*a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 239458 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z - 2*z)*(-4*z**4 + 2*z**4 + z**4) + 2*z**5 + 0*z**5 - 3*z**5 + 121*z**5 + 133*z**5 + 8*z**5.\nAnswer: 258*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z - 1. Is 8 + z + 0 + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeeae. What is prob of sequence aa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16145*j**2 - 109*j - 2.\nAnswer: 32290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1103*2637.\nAnswer: -2908611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1726, 1731, 1738, 1747?\n\"Answer: d**2 + 2*d + 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 plus 57?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -34*z + 72. Determine j(12).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 19, 2, -31, -86?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 9. Let c be -11 + 2\/(f\/(-6)). Is 0 - -213 - c\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - ((-5 - -18) + -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -1)*(15 - -1). Let i = o + 20. Is 6\/i - 766\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.4 (b) -1 (c) -2\/3 (d) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 199, 3, -46, 1, 45.\nAnswer: -46, 1, 3, 4, 45, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0221 times -8.7\nAnswer: 0.19227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32329 * -1\nAnswer: 32329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -20646.6182 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -4*j + 274. Suppose 2*l - 73 = -3*o, -j = -6*o + o - 4*l. Suppose a = -0*a + o. What is the highest common factor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409712 - 0.262.\nAnswer: -409712.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 2)*20\/(400\/(-1332)). Solve -m*z - 20 = -661*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 - 3.16. Which is the nearest to 1? (a) 4 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + ((-9)\/(-24)*1)\/(5\/(-40))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqcnnqucpcceuuu. What is prob of sequence npuc?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*z + 20 = 0, -3*b + 4*z - 29 + 9 = 0. Suppose -3*j - 4*w + 37 = w, -15 = -3*w. Let c = b + j. Solve 0*y + 2*a - 2 = 2*y, -c*a = -2*y - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301013 (base 4) in base 16?\nAnswer: -1c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u = -21*u + 21. Let k(o) = o**3 - 21*o**2 + 18*o - 47. Is k(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8711*q + 7799.\nAnswer: 8711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.06 (b) 10298194 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99480 and 381340?\nAnswer: 2288040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/7 - -17\/14. Let n = -78.4 + 81. Sort n, -0.2, h.\nAnswer: -0.2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*p - 2*p**2 + 204 - 204.\nAnswer: -2*p**2 - 30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*v + 27. Suppose -v = -3*s, 63 - 8 = 4*f + s. What is the greatest common factor of f and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22890624 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3852.8 * 0.041.\nAnswer: -157.9648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + 9 + -29 + (-20 - -10)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 101 - -27?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 220?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/10*1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1 - (342\/30 - 13). Suppose -3*m = -3*k - 27, 0 = 2*k + 5*m - 8 - 2. Which is the nearest to 1? (a) i (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -5. Let w = 134\/495 + -4\/45. Let m = 27 - 27.3. Sort w, t, m in decreasing order.\nAnswer: w, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5759618*k**3\/7 - 7510922*k**2\/7 - 1884432*k\/7 - 133128\/7 = 0.\nAnswer: -1, -258\/1697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 12. Let q(v) = v**3 + 4*v**2 - 7*v - 4. What is the lowest common multiple of 4 and q(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.25578448 rounded to three dps?\nAnswer: 7.256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to 43757676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1) + (46\/33 - -2). Let k = -30\/11 + r. Let s = 2.1 - 2. Which is the closest to -1? (a) k (b) -9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r. Let l(g) = 5*g + 6. Suppose -3*w = 4*i - 1, -3*w - 1 = 3*i + 2. Let x(o) = -4*o - 5. Let m(t) = w*l(t) - 6*x(t). What is m(u(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110.1 rounded to the nearest 10?\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - r + 1. Let a(z) = -5*z**2 - 3*z - 4. Let f be (6 + 217\/(-21))\/(247\/(-57)). Determine f*a(m) - 3*l(m).\nAnswer: -2*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y. Let l(g) = 5 + 8 - 14 - 14*g + 1. Give -l(j) - 3*p(j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 0.1 (c) 0.4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + sqrt(425) + -1 + 2 - sqrt(425).\nAnswer: 1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468\/19305 + 4962\/330 + -15.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-7 + 4) - 1) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 2 - 11 + (1 - 1 - 2)*(0 + 0 + 2))*(2*p**2 - 5*p**2 + p**2) - 162*p - 20*p**2 + 79*p + 82*p to w + l*p + f*p**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i + 14 + 3 + 13*i**2 + 8*i**2. Is w(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389*q - 12450 = -804*q. Calculate the highest common factor of 11630 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2411 = 37*t - 401. Let p = 4 + -77. Let c = p + t. Solve -5*s + 2*m = -4, -c*m - 1 + 8 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 23*y**2 - 1117*y + 7723. What is b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13)*-2)**2 + -1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 2, 0, -4, 407 in decreasing order.\nAnswer: 407, 2, 0, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 8*z - 4. Let w be r(7). Is 53 + 1 + (2 - w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(7) + (sqrt(175) - 1*sqrt(175))**2 - sqrt(28)\/sqrt(4)*-5) + (sqrt(504)\/(sqrt(8)*1))**2 + sqrt(63)*2*-6).\nAnswer: -378 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 912718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - 25*r**2 - 4*r - 34. Is p(-14) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(1008)*2) - (2 + (sqrt(55)\/(sqrt(44) - sqrt(11)) - sqrt(5))).\nAnswer: -2 + sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2.9984. What is k rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317 or -633\/2?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790191663021 less than -2?\nAnswer: -1790191663023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90612*f - 90617*f - 75 = 5*m, 2*m - 150 = 8*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1942 + -1937. Suppose -3*j = -j - 6. Solve j = -t*m - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 3*d + 13 = 0, -2*w + 2*d = -10. Suppose w*v = -3*a + 37, 0 = -v - 6*a + a + 15. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123542610 and 2958?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 5*i**2 + 2*i - 7. Let m(g) be the third derivative of -g**6\/60 - g**5\/15 + g**4\/8 - 2*g**3\/3 + 2*g**2 + 3. Let w be m(-3). Calculate t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i - s, 2*s + 14 = 4*i + 22. Put 1\/4, i, -77 in increasing order.\nAnswer: -77, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 17*n + 0*n - 16*n**2 - 5*n as v*n**2 + i + w*n and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 7*j + 43 = -4*s, -2*j - 10 = 0. Let a be (-176)\/28 - -6 - 107\/s. Differentiate -25 + 0*m**4 - a + 16 - 16*m**4 with respect to m.\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 2704.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -173*c + 6180. Determine u(35).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i*i*i**(-3))**(2\/27))**15)**(2\/3) assuming i is positive.\nAnswer: i**(40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 40*n - 35. Let c(w) = -41*w + 19. Determine -4*a(z) - 6*c(z).\nAnswer: 86*z + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11004 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2923 - -3812. Is 127 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-27)\/4). Suppose -o - 8 + 55 = 3*q, 3*q + 3*o - 57 = 0. Let r be (q\/(-28))\/(1\/(-2)). Is r <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16228 (b) 0 (c) 4 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 divided by -318?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 216388181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z + 8*z - 11*z. Let c(x) = -15*x**2. Determine f(c(v)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63808 = -446*p + 62410. Calculate the remainder when 3685 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 6. Find the common denominator of (-71)\/(-6)*3\/k and -1 + 404\/40 - 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 292 = 2*u, 0 = -0*u + 5*u + 2*r - 758. What is the tens digit of 737\/15 - 20\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 3, 45, 125, 255, 447, 713, 1065?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -41 + (1 - 0) - (44 + -44). Let a = i + 40. Is a at least as big as 2\/419?\nAnswer: False","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: What is the product of 4366 and -6.2?\nAnswer: -27069.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 - -269. Calculate the greatest common factor of 27 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 1453258250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1188.1 + -9338606079.\nAnswer: -9338607267.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -846422 divided by 1?\nAnswer: -846422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(162\/15))\/((-520)\/(-780)))\/((-10)\/(-80)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -101. Suppose 5*a - i = 77. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 23*t + 15. Let x be f(3). Let r(g) = -25*g + 5. Let u be r(-3). Let w = x - u. Solve -3*n = -2*i + 13, -4*i + n + 17 = w*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 22 + 22. Let x be p(-6). Let t(r) be the third derivative of r**4\/8 - 7*r**3\/6 + r**2. Give t(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 902314*a**3*u**2 - 2*a**3 + 52352*a - 2*u**2 - 2 with respect to u.\nAnswer: 1804628*a**3*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**3*x**3 + 16*t**3*x - 2*t**2*u - 1770*t*u*x**3*z - 49*t*z - 10*u*x**3*z + x**2*z wrt x.\nAnswer: -6*t**3 - 10620*t*u*z - 60*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryw when three letters picked without replacement from wywffwyffffrryfff?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*z - 0*z. Let p be (-1)\/(4\/z - 1). Suppose x + 64 = w, -w + 56 = p*x + 12. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + -1 + -2 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*j - 33*b**3*j**2 + 334*b**2*j**2 wrt b?\nAnswer: -24*b*j - 198*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 >= -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*p - 86 = -82*p. Calculate the remainder when 1671 is divided by p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 10565464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 13. Determine h(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r + 145 = 0. Let l = r - -56. Calculate the remainder when l is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 2*h - 3. Let k be t(0). Does 26 divide ((-117)\/(-5))\/(k\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2, -2*q + 5*q = 2*m + 9. Let d be 102\/12 - m\/4. Solve -4*s = c - 3*s - 5, -2*c + 4*s = -d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 16 = 5*p. Suppose -2*c - y = -4*y - 1, 2*c - p = 2*y. Solve 0 = -c*b - 4*r + 6, b + 2*r = -2*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 199, 171, 121, 43, -69, -221?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from qzzzqqqqzzzzqzqqzq.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 15 = -11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((4875\/50)\/(-39))\/(-100))\/2?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 23\/935049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(102) + sqrt(102) + sqrt(102) - sqrt(102)))\/(sqrt(66)\/sqrt(176)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 57\/2 of a microgram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0253 - -1.0253. Put p, 0.055, -9 in decreasing order.\nAnswer: p, 0.055, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25606 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*i = -60, -41 = -3*j + 3*i + 4. Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**2\/2 + c + 3. Let n = -1388 + 1393. Give f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 6. Let z(l) = -3*l + 19. Let v(t) = 8*o(t) - 3*z(t). Let a be v(11). Sort -1, -5, a.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 13) to base 9.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86648 and 36.\nAnswer: 779832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 - -34140502?\nAnswer: 34140645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 - 439 = -3*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/16 - 22\/(-8). Let d be 4 - x - (2 - -3). Let s = d - -4. What is the closest to -1\/3 in -2\/5, 5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 143*l + 223. What is x(-73)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.1 and 240.7674.\nAnswer: 238.6674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.1 (b) -5 (c) 5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/72 and 121\/54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(((t*t**(-2\/5)*t)\/t)\/t*t))\/t*t*t)**(-29)\/((t\/(((t*t\/t**0*t)\/t*t)\/t))\/t)**(-1\/7))**(33\/7) assuming t is positive.\nAnswer: t**(-47223\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58977216 a multiple of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*p - 130, 0 = -2*p + 4*d + d + 70. Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027208734?\nAnswer: 2, 1667, 308101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6) + (9 - (14 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 251 and 0.0124.\nAnswer: 3.1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -896*i**3 - 3*i**2 - 2*i - 1. Let n be u(-1). Suppose 426 + n = -5*r. What is the remainder when (9\/(-12))\/(((-15)\/r)\/(-5)) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30040, -120437, -271096, -482017, -753200, -1084645?\nAnswer: -1476352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + 3 + -5 + (34 - 10)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 513 + -513. Let x(p) be the first derivative of 7\/2*p**2 + 0*p**3 + 0*p + 5 + 2\/3*p**6 + 0*p**4 + c*p**5. What is the second derivative of x(a) wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10009900 + -5232286. Suppose -u - 2894386 = -8*z. What is z rounded to the nearest 10000?\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305472 (base 8) to base 4\nAnswer: -120230322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g + g + l, 4*l + 3 = 3*g. Let i = 46 + 4. Let x(a) = -a + i - 50. Give x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1530542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3283380 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 41. Suppose 0 = -15*o + l*o. Let k(d) = d**3 + 3*d**2 - 6*d - 3. Let j be k(-4). Solve j*n = o, 5*n = 5*b - b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15 + 14)\/(1\/(-73)). Suppose 2*b + 0*b + 5*v = -c, -3*b + 4*v = 98. Let t = b - -52. Calculate the greatest common factor of t and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2) - (-3 - 5\/(-5)). Solve -2*u - 2 = -n*t, -2*t + 1 = u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i**2. Let w(f) be the second derivative of -3*f**3 + 434*f. Calculate o(w(n)).\nAnswer: -4212*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101010 - -111?\nAnswer: -10001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 1 - 404\/(-202). Put 1.1, -4, 1\/3, i, -0.2 in increasing order.\nAnswer: -4, -0.2, 1\/3, 1.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3942.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + h = 77, -43 = -2*x + h + 24. Let w = x + -73. Is 6 a factor of w\/(-3) - (-7)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -25 + 41 + -54.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53848 divided by 8?\nAnswer: 6731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2. Let n(f) = 407*f - 2. Determine n(s(a)).\nAnswer: 2442*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3875 is divided by 678.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000220367268 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71260549, -71260550, -71260551?\n\"Answer: -u - 71260548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p - 314. Determine c(-19).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - 36*c + 320. Let x(w) = w**2 + 13*w - 106. Determine -4*o(z) - 11*x(z).\nAnswer: z**2 + z - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 - -1) + 9 + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 38 = 10. Let t be -3 - (2 - (-1)\/(-1)). Let l = t - -6. Calculate the highest common divisor of l and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 10*r**2 - 15*r - 23. What are the prime factors of x(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-10))\/(12\/(-40)). Let u(g) = g**2 + 9*g - 15. Let n(x) = -2*x**2 - 17*x + 26. Let r(a) = 4*n(a) + 7*u(a). What is r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 3*a**2 - 5*a + 1. Suppose -5*u + 10*u - 40 = 0. Let k(x) = -x + 13. Let j be k(u). Let w be t(j). What is w rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p + 5*x - 20800020, -5*p + 2*x = -25999992. Round p to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g + 4*p, p + 28 = 4*g + g. Let f = g + -4. Is -2\/5 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81 + 3 - -3 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 6, -3, 0.21 in increasing order.\nAnswer: -3, -1\/5, 0.21, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from iiiiinininignnininin.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*p**5 - 28*p**5 + 10*p**5 + (p**4 + p**4 + p**4)*(-5*p - p + 4*p).\nAnswer: -72*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302552 (base 6) in base 14?\nAnswer: 8a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9841 + 0.0159. What is the smallest value in j, -0.6, 2\/17?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q + 5*q, 7 = r + 5*q. Let j be 6 - 3\/(-6)*188. Suppose -r*p + j = 3*p. Solve 3*i - 4*i = -5*o - 13, 4*o = 4*i - p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5db (base 14) in base 13?\nAnswer: 6c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27210 - -244888\/9. Let h = 3.02 - 3. Let s = 1.02 - h. Which is the nearest to 4\/7? (a) w (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124952*j**3 + 149782*j**2 wrt j?\nAnswer: -749712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - d)*(-d + 2*d + 2*d)*(-d**3 - 3*d**2 + 3*d**2).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 - k**2 + 3*k - 1. Suppose 18*r + 2 = 20. Suppose -2*g + r = 3*z - 6*z, -8 = -5*g + 2*z. Calculate f(g).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.153155 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-18)*((-6)\/15)\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45132, -90340, -135590, -180882?\nAnswer: -226216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*-2 + -4 + -2 + -5.\nAnswer: -16*sqrt(17) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3099141, 3099127, 3099113, 3099099, 3099085, 3099071?\nAnswer: 3099057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41566, 41547, 41508, 41449, 41370, 41271?\n\"Answer: -10*f**2 + 11*f + 41565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77595094 rounded to the nearest one hundred thousand?\nAnswer: 77600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.122537 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) 0 (c) 4 (d) 28 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2374*r - 2357*r + 4733*r. Let t(g) be the first derivative of -10*g**3\/3 - 2*g + 6. Give v(t(c)).\nAnswer: -20*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1485\/45 + -26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/4, 0, -220, -39\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -524 + 30781?\nAnswer: 30258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.006 + -0.294. Let b = -0.1 + d. Sort 1\/4, 2, b in decreasing order.\nAnswer: 2, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0785 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211211321332 + -33?\nAnswer: 1211211321233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26585387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 15.2. Let f = 0.2 + -4.2. Let z = -6.7 + 7. Which is the smallest value? (a) k (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let x be j(5). Suppose 46 = -4*h + 7*h + b, x*b - 34 = -h. Calculate the remainder when 52 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n**2 - 83*n - 5. Let d be r(8). Suppose -d = 7*c - 203. What is the smallest common multiple of 72 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42 - -42)\/(4 - 3 - -3). Let a(b) be the second derivative of 1\/18*b**4 + d - 2*b + 0*b**3 + 1\/15*b**5 + 1\/45*b**6 + 0*b**2. Factor a(t).\nAnswer: 2*t**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 7. List the prime factors of 1*-59*(l - -11).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26588030 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3 - 3 - 1358*x**2 + 1374*x**2. Let g(c) = -4*c. Calculate g(k(a)).\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (9 - (-1 + 6) - (1 - -7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137357879 and 1111.\nAnswer: 1510936669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 36851?\nAnswer: -36849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 112008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 365 - 363. Suppose -5*d = 15, -a = 3*a + l*d - 534. What is the remainder when a is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from {p: 4, k: 15}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 4)*(0 - 3 + 1)*(-4*u + 0*u + 5*u)*(3 - 3 - 6).\nAnswer: -96*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 15. Let i(n) = -3*n + 7. Let o(b) = 6*g(b) + 11*i(b). Calculate the remainder when o(-16) is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.99999972 + 53. What is p rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.7829 kilometers to micrometers.\nAnswer: 34782900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30813 is divided by 15400.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44415088?\nAnswer: 2, 2775943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 - 3. Let f(m) = m**3 - 6*m**2 - 6. Let w(t) = -t**2 - 1. Let o(b) = f(b) - 2*w(b). What is 4*l(v) - 3*o(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0 - 47\/120*q**6 - 5*q**2 + 0*q**4 + 0*q**5 + 23\/6*q**3 - 2*q. Differentiate i(f) wrt f.\nAnswer: -141*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*m = 12, 0 = 5*u + 2*m - 192 + 186 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*c + 7*c - 3*b, 5*c - 2*b + 11 = 0. What are the prime factors of ((-854)\/8)\/(c\/(-72)*-2)?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 3, a: 9, p: 5}. Give prob of picking 1 z and 2 a.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 100211201011222001?\nAnswer: 100211201011222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 534898.\nAnswer: 1\/534898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -197263105 divided by -15174085\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 9*f = 51*f + 120, 0 = -4*z + 3*f + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 241209136.\nAnswer: -241209137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1259018 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by ((-4)\/(3 + -1))\/((-13)\/117).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.012 + 4.012. Let h = -0.4 - -0.2. Let i = 0.3 - -0.7. What is the nearest to i in 3\/5, h, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 17*k**2 - 88*k - 264. Calculate q(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -21, 0.1, -18\/11, -0.08, 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4 + 2134*d**3 - d**2 - 77452*d?\nAnswer: 24*d + 12804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 276\/66 + -5 - -1. Which is the biggest value? (a) 0.5 (b) u (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184147698?\nAnswer: 2, 3, 7, 4384469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118676, 237356, 356036, 474716, 593396?\n\"Answer: 118680*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -475, -3835, -12953, -30709, -59983, -103655, -164605, -245713?\n\"Answer: -480*t**3 + t**2 - 3*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p + 245. Let d = 252 + -282. What is the remainder when 58 is divided by o(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {u: 7, v: 2, b: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 7*l - 3. Let k(t) = -t**2 - t. Let s(j) = -g(j) + k(j). Suppose -171 = 7*d - 76*d + 312. Give s(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25497\/11 + -2318. Suppose -2*v + 0 - 10 = 0. Which is the third biggest value? (a) x (b) 4 (c) -9 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 10 - 3)*(5 + 5*q + 4 - q**2 - 8).\nAnswer: 13*q**2 - 65*q - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 + 4995*u**4 + 117835*u**3 + 815505*u**2 + 1343160*u - 2281500 = 0. What is u?\nAnswer: -975, -13, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-103)\/206)\/(-17 - -140)?\nAnswer: -1\/246","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-614.606\nAnswer: 3687.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561 - 2*f**3 - 561.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1 + 4*t + 10*t - 3 - 2*t**2 + 3*t + 5. Give w(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 4908692.52?\nAnswer: 4908697.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 255.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:54 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (4 - (2 + 6)). Let d = -8 + q. Let w = 5 - d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 276?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 3. Let l = -6 - v. Let n = -1 - l. Solve 5*m - 14 = 2*f, 4*f - 4 = -n*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 + 60694*r**4 - 918144342*r**3 - 84849540228*r**2 - 2036588276745*r - 3741124518450 = 0. What is r?\nAnswer: -45, -2, 30393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**6\/120 - x**5\/60 + x**3\/3 - x**2. Let g = -80 - -78. Let r be s(g). Solve -t + 15 = -r*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2200 (base 5) to base 16\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**5\/45 - h**4\/6 + 4*h**3\/27 - 2. Solve r(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 642697.3 millilitres?\nAnswer: 642.6973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8701 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -194, -291, -388, -485, -582?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -24 (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -215, -430, -771, -1262, -1927?\nAnswer: -2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7236 by -2412.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*j - 4, -5*j + 0*x - 3*x + 20 = 0. Let f(h) = -h**2 + 8*h - 7. Let d be f(j). What is the units digit of (-1 + d)\/((-4)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x. Let t(v) = 3 + 2 - 2*v - 11. Let b be t(-5). Solve b = -2*r - x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*v**2 + 0 - 2\/7*v.\nAnswer: -2*v*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 28606149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171415177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 2987435 to the power of 1\/2, to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93817 + 171234. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -642 and -0.05.\nAnswer: 32.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0702 from 2.83.\nAnswer: 2.9002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7767 or 11.7?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -572 + 80846?\nAnswer: 80264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 20*h**2 + 71*h - 989. Give i(16).\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0719 less than -2?\nAnswer: -1.9281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -456086 (base 9) to base 4.\nAnswer: -1002300231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -569 + 570. Which is the third smallest value? (a) -10 (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 15. Suppose -g*m + 0*m = 0. Suppose 4*j - 6 - 2 = m. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 13*h + 1. Let l be u(-13). Suppose -3*y + l = -23. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/5 + 88*b**2\/5 - 86*b\/5 = 0. Calculate b.\nAnswer: 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 12*t**2 - 42*t + 42*t.\nAnswer: -4*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63457.94 centuries to months.\nAnswer: 76149528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42, -60, -96, -156, -246, -372?\n\"Answer: -h**3 - 3*h**2 - 2*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.19 + -0.09. Let x = -3 + 3.1. Let w = x - c. Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujjuujjjj. Give prob of picking 1 u and 1 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -18*x**2 - 5*x + 17. Let c(n) = -20*n**2 - 6*n + 19. Give 6*c(q) - 7*v(q).\nAnswer: 6*q**2 - q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 631463712 divided by 77997\nAnswer: 8096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - (4 - 2)) + 2. Let l(g) = g**2 + 7*g + 8. List the prime factors of l(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**5\/30 - 7*b**4 - 588*b**3 - 56*b**2 - 2. Let n(j) = 0. What is j?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a. Let k(h) = 20*h. Let t(j) = 5*k(j) + 14*v(j). Let z = -7 + 11. What is t(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64, 160, 340, 658, 1168, 1924, 2980?\n\"Answer: 9*d**3 - 12*d**2 + 69*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-6)\/10))\/((64\/(-8))\/(-24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 1. Let z(d) = 28*d + 6. Give 24*o(y) - 4*z(y).\nAnswer: -136*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -16*h - 3. Let a(x) = -x. Let n(b) = 4*a(b) + u(b). What is the derivative of n(c) wrt c?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1)\/((-204)\/(-1836))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.253776g to kilograms.\nAnswer: 0.006253776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -850790 and -0.05.\nAnswer: 42539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -r - 283 - 78, -x = -4*r - 1507. Let i(z) = -z**3 + 29*z**2 - 19*z - 65. Let h be i(28). Let q = h - r. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4\/3 (b) 0.5 (c) -3\/5 (d) -4.7 (e) -2\/153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -5. Let t = w + -7. Suppose t*a = 8*a - 60. Calculate the greatest common divisor of 30 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 393429 - 0?\nAnswer: 393429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 8. Let z(i) = -i - 1. Suppose -4*n - 5 = 3*l, 3*n - 13 = l - 7. Determine n*s(q) - 4*z(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.66833 + 13.8828. Round i to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(216) + -1*sqrt(216))*-2*-4)\/(-2*(sqrt(12)*4 + sqrt(12)) - sqrt(108)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1636583791420 and -1.\nAnswer: 1636583791419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*j - 22, 2*j + n - 19 = -2*n. Let o be 6\/(-21) - (-361)\/(-133). What is the second smallest value in 3, o, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38509 + 38462 + (0 - (5 - -2))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - v + 2 = 0, 5*v + 20 = 4*u + 3*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*o = 400, -4*o + 4 = -2*o. Let m = 120 + l. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) + 2) - sqrt(11)) + 0 + -3.\nAnswer: 5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 1\/2*j**3 - 1 - 13*j - 1\/2*j**2. Determine x(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1352688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1802629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 83419 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3914 - 129194\/33. Let h = -1028 - -1532. What is the common denominator of (856\/h + -2)*3 and g?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109590.\nAnswer: 2, 3, 5, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1257, -2, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 2. Let a be (10 - -9 - 8) + -5. Suppose 23*o + 58 = -a*o. Determine z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 13*y - 41*y - 66*y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83373583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6189683 and 1938?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x = t - 19, 3*x + 4*t = 8. Let v(n) = 8*n**2 + 2*n**2 - 9*n**2 + x*n. Let c(i) = -i**2 - i. Calculate -4*c(d) - v(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.14 - -52.14. Which is the second biggest value? (a) -1\/2 (b) 560 (c) -1 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33793 and 91697.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-156) + -8 + 7\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-4) - (-1)\/(-4). Let n(l) = 8*l. Let u be n(-10). Let w = 85 + u. Solve -5*v - b = -15, 3*b - o*b = w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 67 = 4*u, -j + 13*u - 79 = 5*u + 4*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(4\/13))*((((f*f**(4\/11)*f)\/f)\/f)\/f)\/f)\/(f**17\/f*(f**(-19)\/f)\/f) assuming f is positive.\nAnswer: f**(437\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7888586, -15777189, -23665794, -31554401, -39443010, -47331621?\n\"Answer: -a**2 - 7888600*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 674129435 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 6*a)*(-2 + 2 - 1)*(0*a**2 + 0*a**2 - 4*a**4).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-198)\/165 + 8\/10. Which is the closest to -1? (a) -0.8 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/3 (b) 1\/2 (c) 0.09 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (3 + sqrt(75))**2) + -4 + (sqrt(36)\/(sqrt(60)\/sqrt(5)))**2 + (sqrt(48) + 1)**2.\nAnswer: -36 - 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 10:18 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-18) - -4 - 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/50 - 23*q**4\/30 - 43*q**3\/15 - 21*q**2\/5 + 2*q + 26. Let b(r) = 0. Calculate r.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 498 and 517167273?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -7 - -1) + -5 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -571*(27 - 22 - (7 - 1)).\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose 6*m - m = b. Suppose m = 3*z - 2*z - 14. Calculate the greatest common factor of 126 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879022.9mg in tonnes?\nAnswer: 0.0008790229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299236 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*b = -32, -4*t + 105 = 3*b + 35. Suppose -20*h + 25 = -t*h. Solve j + h = 6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -4*t + 11. Let y(g) = 2. Let l(v) = 2*j(v) + 2*y(v). Let w(d) = -d + 4. Let h(i) = 4*l(i) + 3*w(i). What is h(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 153133.699 to the nearest 100.\nAnswer: 153100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.671686 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 10:27 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/84*-2)\/(5758\/60459))\/(52\/112)?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i*i\/i**32)))**(3\/37)*((i*i**5)\/i)**(-2\/103))**(1\/88) assuming i is positive.\nAnswer: i**(-9331\/335368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.9 from -3188661637.8.\nAnswer: -3188661640.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - o. Let a(p) be the third derivative of -4*p**5\/15 - p**4\/24 - p**2. Let i be a(-1). Let c be 6\/15 + 21\/i. What is u(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2629.96508556 + 2635.56521. Let x = -4.39987528 - o. Let f = 10 + x. What is f rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cffkkpkckpkkkk. What is prob of sequence cpp?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 4*u + 2. Let i be (-5)\/2*(3 - (1 - -4)). Let b(m) = -2*m**2 - 5*m - 2. Calculate i*y(x) + 4*b(x).\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62481978 to the nearest integer?\nAnswer: 7905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 59 + 59 + (5 + 0 + 1)*(10*s**3 - 4*s**3 + 2*s**3) to l*s**2 + p + o*s + b*s**3 and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 4*t - 5833 = -28297. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2924 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 + 6*l**2 + 2*l**2 + l**2 + 2*l**2 - l**2 + 0*l + 2*l**2 + 0*l + (4*l - 2*l - 3*l)*(0 + l + 0) + l**2 + l**2 - 4*l**2 + 2*l - l**2 - 2*l.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x - 54. Let l be ((-28)\/(-8))\/((-105)\/(-120)). Let q be (-1 + 1\/3)*-6. Solve -x = 5*g + q*t, 3*g + 0*t = 5*t + l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7 - 56\/8 - 416\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w\/(w*w\/w**(3\/2)*w*w))**(-15\/4)*((w*w*w\/w**1)\/(w\/(((w**(-2\/7)\/w)\/w)\/w*w)))\/((w\/w**(-2\/5))\/(w\/(w**(-6)\/w))) assuming w is positive.\nAnswer: w**(10413\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 - 1730*n\/11 - 32832.\nAnswer: -2*(n + 352)*(n + 513)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*6\/(-4). Let p = 20 + -25. Let v be (p - (-2)\/j)*-1. Let n(z) = z**3 - 4*z**2 + 3*z + 3. Determine n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.432 + 0.037. Let w = 0.015 - z. Let u = 0.09 + w. What is the closest to 2\/9 in 5, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, -24, -1\/7, 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*v - 5*u, -3*u + 6 = -2*v + u. Let n be (5 - -1) + 3*v. Solve n*f + 0 + 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -13*g**3 - 9*g**2 + 5*g + 436. Let u(z) = 6*z**3 + 4*z**2 - 2*z - 218. What is -4*o(t) - 9*u(t)?\nAnswer: -2*t**3 - 2*t + 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000111001 (base 2) in base 12?\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -645, -2435, -5373, -9459, -14693, -21075?\n\"Answer: -574*j**2 - 68*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*p = 81*p - 3197 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2518750 and -83\/910780.\nAnswer: 569237500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*k**5 - 44*k**4 - 84*k**4 - 5 - 2*k + 115*k**4 + k**3 wrt k.\nAnswer: 300*k**3 - 156*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + -1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) -2 (c) 1.7329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2636*a**2*h*z**3 + 2*a**2*h - 14*a**2*z**3 - 12*a**2*z + 2*a*z**2 + 2*a + 7*h*z**2 wrt z?\nAnswer: -15816*a**2*h - 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = -0. Let f = -50 + 56. Let t = 3 + -3. Solve 6*v + 11 = -l + 2*v, t = -3*l - q*v - f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**3 - 6*q**2 + 4*q. Calculate the remainder when d(4) is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 5044.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -50010 divided by -16670\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97515624, 97515625, 97515626, 97515627, 97515628?\nAnswer: 97515629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38831633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/9)\/w)*((w**0*w)\/w)\/w)\/(w**(2\/5)\/w**(-6\/11)) assuming w is positive.\nAnswer: w**(-83\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (-4)\/(-8)*-2. Suppose -2*l + 249 = o*b, b - 87 = -b - 5*l. 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 five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m**3 + 3*m**2 - 7*m - 6. Let f(q) = -11*q**3 - 4*q**2 + 8*q + 7. Give -7*b(o) - 6*f(o).\nAnswer: -4*o**3 + 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10)**(4\/7) assuming a is positive.\nAnswer: a**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((2\/6)\/(-1)). Let j be b\/(-6) + (-7)\/(-2). Suppose 0*k - 2*k = -j. Solve -2*r - 5*q + 4 = -4*q, 5*r - 10 = -k*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 405473 - 587279 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4 - 0. Calculate the common denominator of 166\/(-120) - z\/10 and ((-5)\/240)\/(99\/19305).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 38*u**2. Let r(z) = -3267*z**2. What is h(r(d))?\nAnswer: 405584982*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -257 and 0.13.\nAnswer: -256.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 435210239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4\/9, 1, 9, 0.\nAnswer: -31, -4\/9, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671 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: Which is smaller: -247 or -2.04?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (0 - 2)) + (8 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 25. Suppose -i*d = -14 - 0. Determine c, given that 4\/5*c**3 + 2\/5 + 13\/5*c**d + 11\/5*c = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216555973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1172, -1174, -1176, -1178, -1180?\n\"Answer: -2*c - 1170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let y be 7\/2*(-8)\/(-14). Let l(w) = -w + 3 - 4*w**2 - 5 + y. Calculate l(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34139947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7404 = -2*x - 2*q, -3*q + 5313 + 13199 = 5*x. List the prime factors of x.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4188095 divided by -6\nAnswer: 4188095\/6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 - -611. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**2*h**2 - 5*f**2*h*x - 5*f**2*x + 49*h**2*x + 5*h wrt h.\nAnswer: 40*f**2 + 98*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -63. Suppose 0 = -4*v + x*q + 8, -3*q = -5*v + q + 10. Factor 2\/7*r**3 + 0 - 2\/7*r**v + 0*r - 2\/7*r**5 + 2\/7*r**4.\nAnswer: -2*r**2*(r - 1)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 45, 11, 2.3, -0.4, -2, 2\/3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25465454 and 5650?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 47, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 3 + -8 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(95) - sqrt(95))*1)\/(sqrt(225)\/sqrt(5) + sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -2 + 29. Let r(p) = 5 + 6*p - 425*p**2 - 624*p**2 - 395*p**2 + 9. Let v be r(m). What is v rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-798)\/(-247))*200\/(-130).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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 13708055 is divided by 150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 10095 = -5*o + i, 2*o + 4034 = -3*i. Let n(t) = 119*t - 12. Let x(f) = 40103*f - 4046. Let r(d) = o*n(d) + 6*x(d). Let v(b) = 2*b. Give r(v(j)).\nAnswer: -238*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, -3, -28, -83, -180, -331, -548, -843?\n\"Answer: -2*v**3 + 3*v**2 - 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9981023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 235452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 69 = -3*c, -c - 2*k = 3*k - 12. Let y be 18\/c - 300004\/6. Round y to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 16. Let s be l(13). Suppose -s*b + 1510 = -o + 2*o, 4*o - 5995 = -3*b. Let x = -862 + o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a = 3*r - 16, r = 5*a - 74. Is 14 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + v + 10. Let n be s(0). Suppose 5*x + 0*x = n. Solve -i - 19 = x*h - 6*h, -3*h + 15 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f - 44. Calculate t(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -6*m + 92 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 5*f. Let r be p(4). Let v(j) = 3*j**2 - 8*j + 17. Let u be v(r). Suppose -u*t + 110 = -28*t. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrmrrrrrrrrrmrr. What is prob of sequence mrmr?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**5\/3 - 31*m**4\/24 + 32*m**3\/3 - 30. Let b(s) be the third derivative of v(s). What are the prime factors of b(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -15241688.\nAnswer: 15241688.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4064625 divided by 5?\nAnswer: 812925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(51) - sqrt(204)\/sqrt(4))\/sqrt(3) - sqrt(17))*-1)**2 - sqrt(187)\/(sqrt(11)*1)*-1.\nAnswer: sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 27 - 429. Let k = t - 72. Suppose -2*g + 4*g - 32 = -4*s, -4*g = k*s - 28. Solve -s = -6*i + 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2253*t + 679*t + 86*t)*(0*t - t + 2*t) as o*t + k*t**2 + y and give k.\nAnswer: -1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 = -3*y - 3, 5*y - 5 = 0. Let j(x) = -4*x**3 - 10*x**2 + 11*x + 4. Is j(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let m(z) = -1. Suppose 5*w + 2*j - 28 = 4*j, 0 = -5*w + 3*j + 32. Let h(a) = -74*a**2 - 370. Let y(p) = w*h(p) - 1480*m(p). What is q(y(l))?\nAnswer: -175232*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5431\/2*((-4)\/3)\/((-40)\/240)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + r - 4. Let b(f) = f**2 + 5*f - 5. What is b(i) - 2*j(i)?\nAnswer: -3*i**2 + 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 736 divide 1056157792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3542 - -5191. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19949, 34074, 48199?\nAnswer: 62324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(20))**2 - 4*(sqrt(5) + sqrt(5) + -3*sqrt(5))**2.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a2a6 - -1e?\nAnswer: -a288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - n - 5. Let v be 10\/(-1 + 11) - (116 - 1). Let m = v - -111. Let r(a) = -a**2 + 2*a + 4. What is m*r(d) - 2*q(d)?\nAnswer: -d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d - 5 = -58*d. Determine p, given that 3*p**4 - 27\/7 + 6\/7*p**2 - 6*p**3 + 45\/7*p - 3\/7*p**d = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 142, 451, 1048, 2029, 3490, 5527?\nAnswer: 8236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x + 2*x - 5*x. Let n(k) = 6*k. Give p(n(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + (-33 - 75 - -5).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 768361.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14588440.\nAnswer: 2, 5, 23, 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/(-4*6\/120)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328 + 5335.\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/28 - (-232)\/7. Let c = r + -27. What are the prime factors of (-4)\/c*6 + 66?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14538 and 3.\nAnswer: -14535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c + 11*c + 8*c**2 - c**2. Let g(a) = -2*a**2 - 8*a. Let m(k) = k**2 + 5*k. Let j be -2*2\/(-4)*-5. Let f(q) = j*g(q) - 8*m(q). Determine f(p(d)).\nAnswer: 98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 18 = 5*c. Let b(i) be the first derivative of -i**2 + 14*i - 39. Let u be b(c). Solve u = 3*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1165 (base 8) to base 15\nAnswer: 2be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:11 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1.467?\nAnswer: -5.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.084, 0, 1\/5, 2.031, -5 in decreasing order.\nAnswer: 3, 2.031, 1\/5, 0, -0.084, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279079 is divided by 495?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-2)\/(-10))\/((-4)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v**3 + 16*v**3 - 38*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1984, -8051, -18136, -32173, -50096?\n\"Answer: 11*f**3 - 2075*f**2 + 81*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*m**3 - 7*i**3*m - i**3 + 17*i*m**3 - 6*m**2 wrt m.\nAnswer: 6*i**3 + 102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m**2 - 637*m + 2468. What is a(4)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i + 31. What is the tens digit of m(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, p: 11}. Give prob of sequence paa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 12. Let d be o(8). Suppose 2*u + 6 = 3*u - 2*c, -d*u + 3*c + 14 = 0. Suppose u*y = 1 + 5. Solve b - y*x = -8*x + 15, -5*b - 33 = -2*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 417.004 + -5.\nAnswer: 412.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 2240\nAnswer: 40320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 2 (c) 2\/5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -2.01398?\nAnswer: 2.41398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((2 + sqrt(1900) + -1 - sqrt(1900)) + sqrt(1900) - -2*sqrt(1900)*-2)**2 - ((sqrt(1900) + 0)**2*2 + -1 + sqrt(1900) + 1)).\nAnswer: -70*sqrt(19) + 13301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -42*(-10)\/(-75).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.405 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1084671950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/90*(2 + 33\/6). Let l(b) = 3*b - 3. Calculate l(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -14*s**3\/3 - 23*s**2\/2 + 37*s + 2. What is the first derivative of d(y) wrt y?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*f - 5, 2*q + 5*f = -2*q - 9. Suppose -5*u = y + q, -u - 2*u + 2*y + 8 = 0. Suppose u = 3*c - 2*c. Solve -o = -c*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11331 - -221?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -916*u**3 - 1275*u wrt u?\nAnswer: -5496*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -11 - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 12:36 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2601562097.152 and -0.253?\nAnswer: 2601562097.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Convert 8463 (base 11) to base 9.\nAnswer: 16325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((480\/19)\/8)\/(((-24)\/(-9))\/((-80)\/(-60)))?\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:22 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/2))**(1\/25))**(-14))**(-39) assuming j is positive.\nAnswer: j**(273\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 37. Let f = 7.86 + 0.14. Let g = y + f. What is the smallest value in -5, 5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966975489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 - -267. Let l be 4*((-2)\/(-4) - -2). Let q be (-1 - (-14)\/l)*30. Calculate the greatest common factor of d and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12386482*l**2 + 139*l + 28570.\nAnswer: 24772964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5737, 5414, 5091, 4768?\n\"Answer: -323*j + 6060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Let q be (1 - l)*(-2 + 1). Let u = -5 - -79\/16. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 382.77, 0.0913?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1828*h = -1837*h - 90 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 d when three letters picked without replacement from {i: 2, f: 1, z: 3, a: 3, n: 3, d: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfz when three letters picked without replacement from zzzfzf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.16 + 7.2091. What is o rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 933372444 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 637.14 in 2\/9, 1, -5\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 2)*2\/48*24. Let x = -2.01 + 0.01. Let z = x + 3. Sort v, -2, z.\nAnswer: -2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d + 6. Suppose 0*g - 18 = -g. Let n be (g\/15 + -2)*-5. Let b(y) = y**2 - 5. Let j be b(n). Let v(i) = 9*i + 11. Determine j*z(o) - 6*v(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 31 - 3791*x**2.\nAnswer: -3791*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 - 6*r - 33. Let x(z) = -14*z**2 + 20*z + 102. Let p(g) = 16*i(g) + 5*x(g). Differentiate p(o) wrt o.\nAnswer: 20*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 3:34 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 59. Let n(o) = -o**2 - 8*o - 5. Let y be n(-4). Suppose 4*j - y = 3*j. What is the remainder when l is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 8:56 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.512 rounded to two dps?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-3262)\/6 + 11\/33. Suppose 0 = -14*z + r + 604. What is the remainder when z is divided by (-164)\/(-6) + (-6)\/(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/5652 and 43\/3768?\nAnswer: 11304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59\/937 + 427\/36543. Let h = 2 - 2.4. Which is the third biggest value? (a) h (b) 24 (c) f (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.6 + -0.18\nAnswer: -28.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:56 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20)\/sqrt(4) - sqrt(800)\/sqrt(10))*-2.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3728202 - -2?\nAnswer: -3728200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4*q**2 - 1 + (2 - 3 - 1)*(39*q**2 + 68*q - 68*q).\nAnswer: -82*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrmrmrrrrmrrr?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -180?\nAnswer: -17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -104? (a) -3\/5 (b) 130 (c) 6\/13 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 20 - 12 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r**2 + 2*r + 1. Let l be s(-1). What is the smallest common multiple of (-195)\/l - 1\/4 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m. Suppose 2*f - 1 = -2*k + 1, 4*k - 2*f - 10 = m. Suppose -5 + 19 = k*l. Calculate the highest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.12+26.7\nAnswer: 25.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 2\/51?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -231)*(-2)\/6. Suppose -h = -3*x + 52. Suppose -x = -7*f + 3*f - l, 0 = 4*f + 4*l - 52. Solve 0 = 5*s + y + 1, 2*s - 3*y = -6*y + f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18972079 or 18972075?\nAnswer: 18972075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7)**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 26*c - 11. Let f = -129 - -137. What are the prime factors of t(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 8:24 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -55*o**4\/4 - 80*o**3\/3 + 5*o**2\/2 + 30*o - 544. Determine a, given that y(a) = 0.\nAnswer: -1, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-900)\/(-40)*8\/6. Let k be (i\/(-20))\/(((-2)\/20)\/1). Factor 3*o + 20*o**3 + k*o**2 - 5*o - 3*o + 0*o.\nAnswer: 5*o*(o + 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 250\/3. Sort -6, 15, v in increasing order.\nAnswer: -6, v, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-10 + (8 - 7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60645\/(-4043))\/(5\/18).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 17014656?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 - -2 - (2 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 5. Let x(t) = -2*t + 0*t + 3 + 1 - p. Let m be x(-9). Solve 0 = -5*l - 0*k - 2*k + 20, -l - 3*k = -m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2261, 2283, 1857, 983?\n\"Answer: -224*v**2 + 694*v + 1791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*-9*(-5)\/180\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a**2 - a + 1. Let b(p) = 22*p**3 + 3*p**2 - 4*p + 116. Let t(l) = -b(l) + 4*h(l). What is the first derivative of t(w) wrt w?\nAnswer: -54*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 8*q + 8. Let f be m(-8). Let a be ((-3)\/(-114))\/(36\/f). Is 0 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b = -2*r + 131, 0 = 4*b - 3*r - 114. Let t be (-20)\/(-12)*b\/15. Suppose -2*v - 380 = -2*g, -t*g - 2*v - 286 = -851. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2853*r**3 - 3*r**2 + 10*r - 10. Let z be k(9). Round z to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.7, -134 in decreasing order.\nAnswer: 0.7, -0.05, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**3 - s**3 - 7*s**3 + 2*s**2 - 5*s**2. Let j be a(-3). Let b = 32 - j. Let m(y) = -y**2 + 3*y + 5. Give m(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*v - 72864 = -940*v - 59*v for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*o**3 + 715 - o - 710 - 117*o**3 + 2*o**2 in the form t*o**3 + f + g*o + u*o**2 and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 3*i + 3. Suppose -4*z + 20 = 2*v + v, 0 = 3*z + v - 10. Calculate r(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100012)\/(-2464) + -41 - 1\/(7\/(-2)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 16 + 22 + (3 + 2 - 3)*(-3 - 1 + 5))*(-12*y**2 + 7*y**3 + 12*y**2 + (2*y**3 - 2*y**3 + 2*y**3)*(-4 + 2 + 4)).\nAnswer: 253*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224352251, -224352252, -224352253, -224352254, -224352255, -224352256?\nAnswer: -224352257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -490*a - 33. Let o(i) = -491*i + 4. Give k(o(t)).\nAnswer: 240590*t - 1993","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 0, 1\/2, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32751535 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -312.247.\nAnswer: -317.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754 is divided by 354?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -201696 (base 15) in base 11?\nAnswer: -950796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2107909 * 0.08.\nAnswer: 168632.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803.902 rounded to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**4 + 9*w**3 - 12*w = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 5 = 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -3\/4, -0.1, 0.5, 22.6, 5\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 106899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*y + 3*b, -4*y = b - 5*b + 8. Solve -c + y*c + 4*j = 14, -2*c - 14 = -3*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0)*5\/(15\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/7)\/(1264\/19908) and 59\/476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 - -1018. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 239 - 115?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/18*-9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1072569 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 38. Calculate the remainder when 25 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10801*y**3 - 20*y**2 + 2*y + 24?\nAnswer: 64806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 13*s**2 - 13*s + 6. Calculate the lowest common multiple of 12 and i(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 47\/6 - (-5)\/30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3287663\nAnswer: 2\/3287663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -401.5 + 401. Let o be (-15)\/40*2\/(-6). Let b = 34 - 30. What is the fourth biggest value in p, 0, o, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8405817 times 0.2?\nAnswer: -1681163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -7.\nAnswer: -7, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*c**2*f**2*x**2 + 4*c**2*f*x**3 + 6*c*x**3 - c - 3*f**2*x**2 wrt c?\nAnswer: 116*f**2*x**2 + 8*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -8, -7 in descending order.\nAnswer: 4, -2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**2 + 5*g - 5. Let u(v) = -7*v**2 + 6*v - 6. Let m = 3 + -8. Give m*u(a) + 6*b(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 - 54 - 10*m**2 + 188 - 4*m**2.\nAnswer: -8*m**2 + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p + 1. Let c(u) = 7*u**2 + 13*u - 19. Let v be c(7). Let g(i) = i + v - 415. Give d(h) + 5*g(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 + 2*y - 2. Suppose 21 = 3*p + k - 2*k, -p - 5*k - 9 = 0. Let j(l) = 25*l**3 - 17*l + 17. What is p*j(d) + 51*m(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -845113412 by -2164.\nAnswer: 390533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -11. Suppose 2*i - c*i = -6. Sort -1\/4, i, 4\/9.\nAnswer: -1\/4, 4\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3721 (base 13) to base 2\nAnswer: 1111001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*n = -40, -n - 1181 = 3*t - 1187 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 25*f = -16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -241, -3 in increasing order.\nAnswer: -241, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 29.7. Let q = j + 2.2. Let y = -1.4994 - q. What is y rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 30*v**2 - 2*v + 60. Let r be o(30). Suppose -3*z + 5*d + 0*d = -28, -21 = 4*z + 5*d. Let a be (z - (-8)\/(-20))*-5. Sort 4, r, a, -6.\nAnswer: -6, a, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 12*g - 39 = 0. Suppose g*c = 8*c. What is the tens digit of (-3)\/(-12) - c - (-4310)\/40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054560826256 + -17?\nAnswer: -17.054560826256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-21) + 729\/21. Suppose 0*h = -3*h - 24. Let a be ((-28)\/k)\/(h\/20). Solve -a = -p - p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4710 divided by -3?\nAnswer: -1570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*y - 7652 + 848. Suppose -u = -5*l + 1048, -5*l + 3*u + 568 = -y. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -19, 0.78, -0.01, -0.5, -0.3?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863627162.\nAnswer: 2, 47, 9187523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 101758*q + 6*q**2 + 101758*q.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-3) - 5530\/(-370)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-441))\/((-7025)\/8430).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2. Let r(c) = -1225*c**2. What is n(r(l))?\nAnswer: -4501875*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.833 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -15, 2, -3\/2, -0.312, 1 in descending order.\nAnswer: 2, 1, -0.312, -2\/3, -3\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*d - 8*d - 23*d)*(0 + 0 - 2*d).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-16) - (-3)\/4. Let o be y\/2*(9 + 3). Let d be (6\/(-4))\/(o\/(-16)). Solve 0 = -2*n + d*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -21\/116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46011 and 0.01?\nAnswer: 460.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 164*l - 1247. Calculate t(-89).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((50*m + 25*m - 35*m)*(-m**2 - 4*m**2 + 4*m**2) + 0*m**3 + 2*m**3 - m**3)*(0*m**2 - 2*m**2 + 3*m**2).\nAnswer: -39*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*q + 9*q**5 - 10*q**5 + 8*q**5 + 8*q**5 wrt q?\nAnswer: 300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 4*z - 91 + 7*z - 5*z - 2*z.\nAnswer: 7*z - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.1 (c) 0.3 (d) -5191 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6701054 weeks?\nAnswer: 405279745.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w**2 - 5*w + 6. Let n be m(-6). Suppose -2*y + n = 4*i - 6*y, 0 = 5*i + 2*y - 485. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -52*s + 90*s + 35*s**2 - 40*s. Let h(y) = -5*y. Determine h(b(k)).\nAnswer: -175*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*j**2 - j**2 - 27*j**2 + (2 - 2*j - 2)*(-3*j + 4*j - 3*j) - 2*j**2 - j**2 + j**2)*((5 - 3 - 3)*(-1 - 2*j + 1) + (-j + 2*j - 3*j)*(4 - 2 + 0)).\nAnswer: 82*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4674 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-17670)\/130 - (-824)\/10712?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*l - 330 + 330)*(-2*l**3 + 4*l**3 + l**3) in the form m*l**3 + s + b*l + v*l**4 + r*l**2 and give v.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4 - 4. Suppose 0*b - 5*b = z*k - 1367, -10 = 5*k. Suppose b = -5*m + 10*m. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = 0, u - 3*s - 14 + 5 = 0. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01044 rounded to four dps?\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -17)\/((-2)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.346 or 9?\nAnswer: -0.346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -376 + 265. Sort -4, 1, d in descending order.\nAnswer: 1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*3\/6*-1693. Suppose 0*b = 4*b - s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -2 (c) 15\/7 (d) -4.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 730033?\nAnswer: -42\/730033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.5 (c) -0.7 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13343143 (base 5) in base 9?\nAnswer: 228303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) - 18\/(-4). Let p(s) = s**2 - 10*s + 3. Let v(i) = -i + 1. Let b(n) = g*v(n) - p(n). Let h be b(5). Is h <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 15*w**2 - 26*w + 2. Let l be z(-13). Solve -2*f = -4*f - l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5830 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60762 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(-16)\/c*c)\/c))\/c**(-5))\/(((c\/c**33*c)\/c)\/(c\/(c\/(c**(-6)\/c)*c)*c)) assuming c is positive.\nAnswer: c**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/15 + 8\/(-10) - -142. Let x = 201 - r. Let o(m) = -4*m**3 - 2*m**2 + m - 1. What is the remainder when x is divided by o(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30564 by 1.\nAnswer: -30564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -152*r + 159*r - 364. Calculate the greatest common factor of r and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4 + 2*o**2 - 20*o - 3*o**2 + 17*o + 5*o**2. Let u(k) = 3*k**2 - 2*k + 3. What is 2*n(g) - 3*u(g)?\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35225705 and 395?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + -6.01. Let l = 8 - o. Let a = -12 + l. What is the closest to 2\/7 in 5, 1\/2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126700 divided by -50?\nAnswer: 2534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2500*u**5 - 10400*u**4 + 4116*u**3 + 14536*u**2 - 2384*u + 96 = 0.\nAnswer: -1, 2\/25, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*d + 64. Suppose -d*u = 34*u - 138. Solve 2*s = u*y + 8, 0*y + 2*y + 4*s = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*i + 137 = -83, 0 = -3*x + 4*i - 680. Let j be (-4)\/6 + x\/(-24). Let b = -6 + j. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**6\/24 + u**3\/6 - 14*u**2. Give v(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -101, -103, -95, -71, -25?\n\"Answer: q**3 - q**2 - 6*q - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 42*h - 84. What is the units digit of x(-46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.5 + -78.1. Let v = -70 - n. What is the third smallest value in -0.2, v, -5, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 3 + 1\/2*i**2 + 5*i. Calculate d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.71 - 59.27. What is w rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6046.\nAnswer: 2, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.223885 centuries?\nAnswer: 72.23885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3\/95 (b) -46 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(17) + 1)*1)**2 + 0 + sqrt(68).\nAnswer: 6*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267 or 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 43. Suppose -z*l + l - 9*l = 0. Which is smaller: l or -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/15 - 22\/(-10). Let v be -4 - ((-4)\/x)\/(-2). Let w(p) = -p - 3. What are the prime factors of w(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15217, -15224, -15233, -15244, -15257?\nAnswer: -15272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8991268735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:27 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyryk. What is prob of picking 1 y and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**6 - 3*j**2 + 6. Let p(n) = -11*n**6 - 5*n**2 + 11. Let b(i) = -11*f(i) + 6*p(i). What is the third derivative of b(w) wrt w?\nAnswer: -1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144372448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvab when four letters picked without replacement from {f: 1, v: 3, b: 2, a: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 34. Let b = d - -52. Suppose 94*o = 3360 + 964. What is the remainder when o is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + y - 46 = 0, -129 = -66*m + 71*m + y. Sort -1, m, 5 in descending order.\nAnswer: 5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f**3 + 2*f**2 - 9*f + 33. Let g(h) = 4*h**3 + h**2 - 5*h + 17. Give -5*g(y) + 3*q(y).\nAnswer: y**3 + y**2 - 2*y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 223*q**2 - q + 1. Suppose 2*n + 10 = -4*f, -3*n + n + 2*f + 8 = 0. Is a(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12191834 + -19091834. What is b rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1606 - -1448?\nAnswer: 2a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 42. Let k be (-2)\/(-5) + 16\/10. Suppose -k*a + 399 = -0*a + 3*z, -2*a - 4*z = -400. What is the highest common divisor of c and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11737740 divided by -838410.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 - -236. Suppose 112 = -l*y + 1248. Calculate the remainder when y is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 times -40055\nAnswer: -1401925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4*(88\/(-12) - -10). Suppose g*y = 2*n - 444, 4*n + 5*y = 18 + 915. What are the prime factors of n?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**12\/(c\/(c\/(c\/(c\/(c\/(c\/(c*c*c**(-1\/2))))*c)))))**(-23) assuming c is positive.\nAnswer: c**(-529\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2) + 2 + 2.\nAnswer: -sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 10*h + 74 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 49, 86, 129, 178?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zppzpppppppfpflfpzzp. What is prob of picking 4 z?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.2. Let p = -196\/1125 + -6\/125. What is the closest to x in -0.3, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -22\/19 (b) 4 (c) -1\/11 (d) 2 (e) 201 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s*s\/s**(-5)*s)\/s)**(8\/3))**(3\/7))**(-46) assuming s is positive.\nAnswer: s**(-2944\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/d*d**(2\/5))\/((d\/d**7)\/d*d**3))**(-1\/12) assuming d is positive.\nAnswer: d**(13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 20*s**2 - s + 10. Is t(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288795 and 866385?\nAnswer: 866385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 4*x**2 - 3*x + 13. Let k be w(4). Suppose 3*b = f - 0 - 2, 5*b - 3*f = -2. What is the closest to k in b, -1\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 42 = 5*v, v - 187 = 2*b - 211. Factor 0 - 8\/5*k**v - 4\/5*k - k**3 - 1\/5*k**4.\nAnswer: -k*(k + 1)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2296 = 132*u - 4144 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020040527 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/8*(-128)\/96*3 - 7\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14546)\/2709 + 6\/9. Let u = l - 5\/258. What is the common denominator of u and 61\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a7619 - -143?\nAnswer: a775c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/8 + (-14)\/(-4). Suppose 3*n = 5*w - 25, 6*w + 3*n - 10 = y*w. Suppose -2*f + 55 = -5*k, 2*f - f + w*k = 5. Solve -c + f = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -a + 6*a. Let t be 0 + (-1)\/(a\/1). Let k = t - -2. What is the greatest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13043 - -13043.5. Sort -65, -1, l, -0.1.\nAnswer: -65, -1, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 + 63*b - 225. Let o(v) = 22*v**2 - 190*v + 680. Let a(j) = 16*c(j) + 5*o(j). Factor a(m).\nAnswer: -2*(m - 25)*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 34444359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2862 - -2021. Is -841 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -202*o**2 + 1724*o - 3521. Give v(2).\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6349460 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2742677?\nAnswer: 7, 223, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t - 2*t + 14*t + 38*t to the form u*t + x and give u.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4700?\nAnswer: 4700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91142 is divided by 766.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*((-6)\/(-35))\/(105\/175).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * 1.8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 7*x, -2*d + 304*x - 299*x = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/65, 0.11 in ascending order.\nAnswer: -2, 2\/65, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 36.328.\nAnswer: 145.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -44. What is the remainder when 62 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2043.9 and 8931.4824.\nAnswer: 6887.5824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.03, -1.3, -1\/2.\nAnswer: -4, -1.3, -1\/2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.13414 to two decimal places.\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*b - 98280 = 136*b. What is the nearest to -1\/4 in b, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z**3 + 0*z + 2 - 21\/100*z**6 + 2\/105*z**7 + 49\/75*z**5 + 343\/120*z**4 + 5*z**2 - 1\/1680*z**8. Factor c(q).\nAnswer: -q*(q - 7)**3*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -29 + 35. What is the tens digit of 7\/21 - y\/12*334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-289)*(-134402)\/(-402).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 8, 4*d + 0*d - 12 = -2*r. Suppose -6 = 2*y - d*y. Put 0, -10, y, -4 in increasing order.\nAnswer: -10, -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 o when four letters picked without replacement from {b: 7, o: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 15*z. Let h(b) be the second derivative of -b**3\/2 - 27*b. What is h(t(l))?\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40893.72 years in millennia?\nAnswer: 40.89372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/15 (b) -83 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 6. Suppose 5*b - 104 = b. What is the remainder when b is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 - 130 - (-5 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 5, h: 5, u: 1}. What is prob of sequence jh?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-22)\/220)\/(2\/(-34*1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25462 (base 10) to base 4\nAnswer: 12031312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -11, -37, -73, -119, -175, -241?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 18*s + 4. Let m be r(17). Let j be 17\/3 - m\/63. Let -8\/3*x - j - 1\/3*x**2 = 0. What is x?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2 (c) 39\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 3.74\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/z**(9\/5))\/((z**(1\/7)\/z)\/((z\/(z*((z**2\/z)\/z)\/z))\/z)))**(-8\/7) assuming z is positive.\nAnswer: z**(1944\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081 is divided by 454.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -3*t**5\/20 - 53*t**4\/12 + 7*t**3 - 59*t. Find the second derivative of g(q) wrt q.\nAnswer: -18*q - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/764975 and -62\/91797.\nAnswer: 2294925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2 + (sqrt(325) - (sqrt(325) + -2)) + (sqrt(325) - (sqrt(325) + -1 + 3)))**2 + 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*k + 156*k = 1009425. What is the highest common divisor of k and 4085?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.044 and 1.7.\nAnswer: 0.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.03 - 16. Let i = w + -3.03. Let y = 1.6 + 0.4. Which is the second smallest value? (a) y (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -40000*a**2 - 22. Let w be r(-3). What is w rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from hustfupfhtshff?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 95.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31754 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 23069 + 23094. List the prime factors of y.\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66\/89, -0.1, -0.3, -30, 3\/74 in descending order.\nAnswer: 66\/89, 3\/74, -0.1, -0.3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 261213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-200)*6)\/((-9)\/(-30))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/7 (b) 0 (c) -0.07 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one fifths of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 510, 1131, 1988, 3075?\nAnswer: 4386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -17.8135 <= -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 10:26 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*v)*(-v + 3 - 3 + (-3*v + 0*v + v)*(0 - 2 + 1))*(-5 - 3 + 4).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*b = 31, 5*b + 6 - 44 = -3*t. Let g = t - -26. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15319616 * -0.4\nAnswer: -6127846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0*c**3 - 123 - 2*c**3.\nAnswer: -2*c**3 - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 611\/447312 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)\/((-14)\/10)*-11. Which is the fourth smallest value? (a) -4 (b) 1\/5 (c) w (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266\/2 + (7 + -4)\/(-3) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -933*q - 2028*q - 6 - 6414*q.\nAnswer: -9375*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 19*y**2 + 83*y + 211. Let p be l(23). Solve -4*d - p*u - 8 = -2*d, 2*d + 2*u + 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471366903 to the power of 1\/3, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2317, -4639, -6971, -9313, -11665, -14027?\n\"Answer: -5*k**2 - 2307*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66633391 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 5*k - 9. Let j = k - -24. Suppose 5*g = -3*b + 3*g + 8, -j*b - g = -7. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -12, -5*l = -2*u + 4810 - 4840 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0217 and 24166.\nAnswer: 24166.0217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108569622.999276 + 108569885. Let g = -60.3 - -322.3. Let t = c - g. Round t to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) -8 (c) 81159 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128073019 to the power of 1\/2, to the nearest integer?\nAnswer: 11317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = o - 10*d + 2, -5*o + 5*d + 15 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = -5*x - 316*i + 319*i, i = -48*x - 1052 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1\/3 (b) -6 (c) 0.5 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -99920.\nAnswer: 3\/99920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*j - 27. Let f(v) = v**2 + v + 6. Let t be f(j). Find the first derivative of -t*x**4 - 4 - 5 - 8 wrt x.\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7 - 4*q + 0 + 3 - 3. Let b be j(-2). Is 2 - (-1 + b - 445) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, -1\/4, 1526608?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - u + 3*u + (1 + 6 + 1)*(-3 + u + 3) + 915 - 915 - 4*u)*(4 + 3*u - 4) as v*u**2 + r*u + g and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/22 and 47\/1900?\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -201.4 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 67925*v**2 - 1150559175*v + 98288902125.\nAnswer: -(v - 85)*(v + 34005)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxxxuxxxxxxxxxx. What is prob of picking 1 u and 2 x?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.32 from -29477.\nAnswer: -29476.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20792595 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16 + -26.16. Let s = m + -3. Let u = s - -28.999665. What is u rounded to five dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/15 - (-4)\/12)*(-2)\/21.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2156635 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1306 + 1307. Let r**2 - 1\/2*r**3 - n + 1\/2*r = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 901854?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 79, 187, 319?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + 3.97. Let b = 15.2 + -15. Suppose -11 - 9 = -5*i - 5*s, 4*i + 5*s - 18 = 0. What is the closest to i in 2\/9, b, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4 - 19*v**2 - 2*v**2 - 22*v**3 - 6*v - 3. Let t(y) = -7*y**3 - 7*y**2 - 2*y - 2. Let b(w) = 7*t(w) - 2*x(w). Let b(h) = 0. What is h?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405\/15 - (-24)\/2 - (-7)\/1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:56 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:46 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = -2*q + 4*q, -2*b + 2 = 0. Suppose -n - q = -w, 4*n = 2*w - 10 - 2. Let a(k) = -k + k - k + w. What is a(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3460 or 38070\/11?\nAnswer: 3460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 187 in 3\/2, -29.2, -0.3, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 155670761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Suppose 38868*f + 15 = 38853*f. Let z(k) = 5*k - 2. Determine f*z(x) - 4*a(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 5 - 3)*(-4 + 5 - 2)*(7 - 22 + 0)*(-1 + 1 - 3*t)*(-4 + 6*t + 4) as i*t + f + h*t**2 and give h.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + c - 24 = 0, 5*o - 4*c - 1 + 48 = 0. Let a(t) = -t - 2. Let b be a(o). Let p = b + 27. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 + 2 = 0. What are the prime factors of 42\/k - (-3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 (base 10) in base 4?\nAnswer: 100223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 372, 373, 372, 375, 388?\n\"Answer: i**3 - 7*i**2 + 15*i + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 8*a)*(-137*a**2 - 34 + 71*a**2 + 72*a**2).\nAnswer: 48*a**3 - 272*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 25 (c) 15 (d) -5 (e) -4 (f) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0 - (-8 - (11 - (15 + -4)))) + -67.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1401117878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253979605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 0.07 (c) -2\/5 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 - 2*i. Let p(h) = 9*h**3 - 6*h**2 - 22*h + 1. What is -6*o(g) + p(g)?\nAnswer: 3*g**3 - 10*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.27693 - -0.21793. What is the nearest to -2\/3 in i, 0, -3, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(14 - 25 + 16)*(0*t**2 + 0*t**2 + t**2).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1\/(-3))*(-17754)\/(-16). Let f = 758 + y. Find the common denominator of -35\/22 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 515944\/3 - 171981. Factor 0 - 1\/3*g - h*g**3 - 2\/3*g**2.\nAnswer: -g*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let w(g) be the first derivative of 8*g**3\/3 - g**2\/2 + 1035. Let a(v) = 15*v**2 - 2*v. Determine i*a(m) - 7*w(m).\nAnswer: 4*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5437)\/228354)\/((-2)\/10 - 24\/(-45))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 94. Let y(j) = 6*j - 4. Let x be y(-6). Let a = x + 58. Calculate the greatest common divisor of a and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3 + 13*c - 4 + 10*c - 24*c + 0. Give l(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-15))\/(4\/20). What is the units digit of (-4)\/k*-1 - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1518 is divided by 758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 302058080 + -2?\nAnswer: 302058077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in -0.077, 1, 0.6, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*p - 4*j, -p + 0*j + 14 = -j. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -w + 34. Let j be 5 - ((-6 - w) + 5). Solve 3*v - 2*v + j = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5626 + 4076. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:40 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -2\/11, -66, 2\/7 in descending order.\nAnswer: 7, 2\/7, 0, -2\/11, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 29 - 1 = 0. Let o be -1*i\/4*(-48)\/(-18). Suppose -6*j + 4*v + 777 = -j, -o*v = -4*j + 624. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -33*y**2 - 32*y - 56. What are the prime factors of i(-10)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -214, -374, -528, -682, -842?\n\"Answer: -x**3 + 9*x**2 - 180*x - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.82 - 0.82. Is -350 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*28\/(-175) - (-32)\/40. Solve n = -4*c - 144 + 132 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27610 = 1203*v - 56*v + 1363*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -133331340 (base 5) to base 4\nAnswer: -2212311101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2579846245?\nAnswer: 2579846245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23068986 and 428?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**3 + 0*m**3 - 4*m**3 + 3*m + 2*m. Let j(k) = -k**3 - k. Calculate 11*j(i) + 2*n(i).\nAnswer: -3*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 27 - 9*c + 6 - 10 - 39*c.\nAnswer: -48*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w + 1 - 1)*(4*w**2 - w**2 - 5*w**2) - 3*w**3 - 2*w**3 + 2*w**3)*((0*w + 4*w - 5*w)*(-3 - 1 + 6) - 440*w - 545*w + 862*w).\nAnswer: 125*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a + 7. What is z(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -0.1, 0.5, -2\/555, -5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716 - 364 - 378 + 3*a.\nAnswer: 3*a - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 9*s - 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r - 67. Let k be o(-7). Let y be 260\/(-28) + 2\/7. Is (75\/y + 1)*942\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(-36 + 26 - 9)*(-13*h - 2 + 14*h + 4)*(3 + 0 - 5) in the form f + z*h and give z.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 18*m**2 + 5*m - 36. Determine c(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 624.3 * -4.\nAnswer: -2497.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2552)\/261 + (5*(0\/(-1) + 4))\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.0351018?\nAnswer: -4.9648982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8897, 8896, 8895?\nAnswer: 8894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -145*t + 144*t - 3*p, t + 13 = 5*t - 11*p + 12*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1031, 1089, 1235, 1511, 1959, 2621?\nAnswer: 3539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18664909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 76116.88 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6 - -0.8. Let n = o - 3.7. What is the third smallest value in 3, n, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 6)\/(6\/6). Let m be 10*(22\/q - -4). What is the smallest value in -1\/8, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - n + 34*n**3 + 0*n - 33*n**3. Let d be ((-2)\/(-6))\/(3\/9). Suppose -r - d - 2 = 0. Determine c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -343072*w**5 + 44277*w**2.\nAnswer: -20584320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*((2 - h - 2)*(2 + 2 - 6) + h + 9*h - 5*h).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 + 7 = 3*f, -z = 2*f - 3. Let t(v) = 11*v**2 - v - 1. Let w(g) = g + 1. What is z*t(b) + w(b)?\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 0*f - f**3 + (-4*f**2 - 53*f + 53*f)*(17*f - 25*f + 107*f) + 4*f**3 - 1 + 1 to p*f + g*f**2 + j*f**3 + q and give j.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*u - 2*u - 324522, a - 162247 = 3*u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, j: 11, f: 1}. Give prob of sequence fjj.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -757*j + 756*j - 4*r, 4*r + 71 = 5*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*d = -11, 5*h + 4*d + 9 = -4. Is 1\/28 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, s: 9, t: 3, i: 1}. Give prob of sequence qi.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19579 + -19341. Calculate the highest common factor of 196 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.7541605 to 1 decimal place.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32078?\nAnswer: 2, 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v**3 + 3*v**2 - 9 + 0*v + 9\/4*v**4. What is the second derivative of i(m) wrt m?\nAnswer: 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1 = 4*z, -2*z = z + 5*v - 13. Let j be (-1375)\/((-60)\/1216*81 - z). What is j rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 - 21 - (54 + -4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28266827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p. Let d be q(1). Suppose -d = -2*l + f - 4*f, -21 = -4*l - 5*f. Suppose -4*u + 55 + l = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p + 488 = 1898 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 89*r + 423. Give k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5097 = 1061*z + 4994 + 18140 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 55 and 55 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3647392, 7294784, 10942176, 14589568?\nAnswer: 18236960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dllxvzxlyvx. Give prob of picking 1 d and 1 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0 - 4*z**2 + 4\/3*z**3 - 1\/6*z**4 - 3*z. Factor q(m).\nAnswer: -2*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19388 - 19387.9973503. What is i rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1526*l**2 - 12*l + 86593 wrt l.\nAnswer: -3052*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3156\/19 - -166. Let x = -2 - -1.4. Let w = x - 2.4. Put 0.2, w, q in descending order.\nAnswer: 0.2, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 86 + 80. Suppose -3*i + 52 = -l. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1323 and 4704.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*u = 0, -237*u + 4 = -233*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 8960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l - 2*p - 67616, 4*l + 2*p - 67616 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/5)*t)**(-2\/83)\/(t**(-1\/3)*t**(19\/5)) assuming t is positive.\nAnswer: t**(-874\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7779*n**2 - 4*n**3 - 14820*n**2 + 7555*n**2 to the form m*n**2 + v*n + j*n**3 + u and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.13058 + 123.13642. Round z to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z + 40. Let f = z - -12. Let v = -409\/4 + 103. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {l: 7, b: 2, m: 5, w: 3}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, b: 12}. What is prob of sequence ttb?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-1 - 2) + 0). Suppose 0*f - 3*f - 9 = 0, l*f = 4*y + 743. List the prime factors of 6\/(370\/y + 2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 70*f**2 - f + 1. Let c = 63 + -61. Suppose -c*n = -4*h + 2, 2*h + h = 3*n. Is 10 a factor of l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 445413?\nAnswer: 445404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2)\/(c*c*c**(-3\/4)))\/(c\/(c\/(c\/(c*c\/c**(1\/3)*c*c))))**(1\/6) assuming c is positive.\nAnswer: c**(79\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*v - 2623 - 2663 - 3606 = 0 for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdda when four letters picked without replacement from fafdfddd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:31 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6711, -26943, -60657, -107847, -168507, -242631, -330213, -431247?\nAnswer: -545727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 100464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k + 84. Suppose -k*q + 20*q = -35. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 886.6 - 890.6. Let f = -0.3 + -0.6. Let c be 9\/2*8\/(-12). Put -2, c, f, u in descending order.\nAnswer: f, -2, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46 and -19\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100120121 + -102202?\nAnswer: -1101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886679178.\nAnswer: 2, 3, 7, 11, 43, 44633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 + 0) - (-1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -8\/283, -8, -0.4, 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 4844*a**2 + 2385474*a + 21078360.\nAnswer: 2*(a + 9)*(a + 673)*(a + 1740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:15 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/((y**(-2\/91)\/y)\/y))*y**(2\/21)*(y**0)**(-6))**(-34) assuming y is positive.\nAnswer: y**(8602\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 498*y + 1453. Determine j(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*-38*5\/70. Suppose q*j + 4*j - 6624 = 0. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -11, -4\/5, 2, 1 in decreasing order.\nAnswer: 2, 1, -1\/5, -4\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16297\/3 or 5433?\nAnswer: 16297\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/((54\/(-12))\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15195*q - 49 = -15188*q. Let y(t) = t**2 + 3*t + 6. What is y(q)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*8\/1536*9\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*g*i**2*s**2 - 28*g*i*s**3 - g*i*s + 231155*i**2*s**3 + 2*i + 1893*s wrt i?\nAnswer: 26*g*s**2 + 462310*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -61, -0.2, -0.4, 1, 1\/4, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28\/((-80)\/(-35) - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 14\/5 (b) -43 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - m**2 - m + 2. Let a = -11 + 31. Calculate the remainder when u(-3) is divided by ((-68)\/a)\/((-1)\/5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 less than 203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 2 j when four letters picked without replacement from {j: 2, c: 4, n: 5, q: 2, s: 4}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(-3*sqrt(66)*2 - (sqrt(66) - 1*sqrt(66)*4))\/(2*3*sqrt(384)))**2.\nAnswer: 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 455 - 645 = 0. Suppose -2*u = q - 4*u - 105, -5*q = -5*u - z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71214 divided by 3.\nAnswer: -23738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**5\/25 - l**4\/10 + l**3\/5 + 4*l**2\/5 + 4*l\/5 + 232. Factor v(g).\nAnswer: -(g - 2)*(g + 1)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834475 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 - -411. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byrbrbjrzzb. Give prob of picking 2 b.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 66032305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172 + -152. Suppose 0 = -5*j - 2*f + y, 0*f - 5*f = 4*j - 16. Let p be (j\/(-2))\/(0 + (-1)\/1). Solve -3*r + 9 = p*c - 0*c, -2*r - 4*c = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 277 - 326. Is r greater than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:06 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 669.\nAnswer: -1, 2, 669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 30*k - 13. Let s(r) = 148*r - 70. Give 11*c(f) - 2*s(f).\nAnswer: 34*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 391 and 2024.\nAnswer: 34408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47966 and 61538?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*k**5 - 63*k**4*w - k*w + 12*k + 51*w wrt k?\nAnswer: 3400*k**3 - 756*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xytttpapxattpptt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 19 + -16 - (1 - ((6 - 13) + 11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23073 is divided by 1499?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*6*(-2)\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 2) + (4 - (8 + -7))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/10 (b) 0.4 (c) -2\/3 (d) 4\/5 (e) 24392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 14*a**2 + 15*a - 10. Let u be b(15). Let g = -9 - u. Is g - (-362 - 1) - -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 13*l - 9*l, 34 = -3*r - 2*l. Suppose 0*p + 4*p - 2*w = -518, -p + w = 131. Let u be 1*(-9)\/(-6)*p\/r. Solve h + 3*h = -u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/15 - (-23)\/3. Calculate the highest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*o + 5*o + 3, 3*o + 3 = 0. Put n, -2, 4, -4, 2 in increasing order.\nAnswer: -4, -2, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ozzzozzozzz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -143182 - ((-10)\/(-25))\/((-2)\/20). Let f = -5443178 - h. Round f to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -811*o + 2437. Determine r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4804, -19256, -43346, -77074, -120440?\n\"Answer: -4819*d**2 + 5*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -64*i - 2. Let j be s(-3). Let d = j - 120. Calculate the highest common factor of d and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - -17) + (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 6 + 0)*(-6 + 0 + 1) + 4 - 2 - 3)*(r**2 + 0*r**3 - 3*r**2 - 2*r**3).\nAnswer: -18*r**3 - 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6845, 27340, 61515, 109370, 170905, 246120?\nAnswer: 335015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 1 (c) 0.6 (d) -174 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 949 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/27)\/(-7))\/((-11)\/132)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - (-385)\/(-56) - (-3)\/4. Do y and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 854, 3430, 7714, 13700, 21382, 30754, 41810?\n\"Answer: -m**3 + 860*m**2 + 3*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(4\/3)\/k*k)**(1\/14) assuming k is positive.\nAnswer: k**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4994.1 and 0.94?\nAnswer: 4993.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 10*v - 5*v)*(296*v - 64*v + 714*v).\nAnswer: 6622*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31043569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 6467461.185406.\nAnswer: 6467458.185406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/18)\/((-2)\/(-8)) - (26 - 26)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 7*o**2 - o - 4. Let f be y(7). Is -11 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 191, 333, 455, 551, 615?\n\"Answer: -p**3 - p**2 + 166*p - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 277*i + 1111. What is u(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1949 = -9*y + 5873. Calculate the remainder when y is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25007079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 5*g**2 - 3*g - 3. Let y = -39 - -43. Suppose 5*d - 30 = -3*h + d, y*d = 12. What is q(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371769 is divided by 3507.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -372758 divided by -4?\nAnswer: 186379\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27266 or 27262?\nAnswer: 27262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -101, -192, -321?\n\"Answer: -19*s**2 + 4*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1008.001162 + 1008. Round r to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 53 + (-11 - -5) + -7.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1964, -3915, -5846, -7751, -9624?\nAnswer: -11459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0131952084 rounded to 4 decimal places?\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -273 (b) 5.8 (c) 3\/8 (d) -5 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntpqqt. What is prob of sequence tp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17014313095+0.1556\nAnswer: -17014313094.8444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.1508 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/248 and -57\/1280?\nAnswer: 39680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1628*b. Let v(f) = f. Calculate v(o(y)).\nAnswer: -1628*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**3 - f**2 + f + 1. Suppose 0 = -25*r + 429 - 379. Determine a(r).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xss when three letters picked without replacement from {e: 1, f: 2, s: 3, r: 2, x: 6, j: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101000001001111011?\nAnswer: -101000001001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -216 - -214. Let t be 1 + (12\/(-15))\/(l\/10). Solve a = -t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 33*u - 6. Determine m(5).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -17. Suppose -3*j = 5*c + z, -j + 50 = -3*c + 4*j. Is c not equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.869133015 rounded to 4 dps?\nAnswer: -3.8691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 7, b: 7, r: 3, n: 1}. What is prob of sequence rn?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 + 22 = 4*b, 4*b - 2*i - 16 = 0. Suppose -4*s - z + 117 = 0, 125 - 6 = b*s + 3*z. Suppose -5 + s = 2*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + (sqrt(180)*-2)\/sqrt(6))\/(sqrt(90)*3).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/(-124) + 22\/8. Suppose -3*u - u + 18 = -2*t, 0 = 4*u - 5*t - q. What is the remainder when -1 + 18 + 5 + -4 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 + (-3 + 1 + 0)*(3 - 1 - 4))*(-3*b - 3*b - 13*b).\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*f = -26, 0*a - a - f - 4 = 0. Let m = -2 + a. Which is smaller: 1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:52 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24364?\nAnswer: 2, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 less than 565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(-41)*(-2)\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 15. Let l be t(3). Let i be 1*-3 + -3 + 20\/l. Factor 4\/3*c**2 - i*c - 4\/3 + 2\/3*c**3.\nAnswer: 2*(c - 1)*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24800 and 18848?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 458 and 2.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 - -117. Which is the third smallest value? (a) x (b) 2\/7 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7743 - -0.5743. What is the second smallest value in -3, 4\/5, -1\/3, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + 1*sqrt(1053) + 3*sqrt(1053)*-1 - (3 + 1*(sqrt(1053) - (sqrt(1053) + 3)))))**2*-5.\nAnswer: -337680 + 8640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3773 + 3791. Suppose -2*l = -4*l + 6, -3*m - 5*l + 69 = 0. What is the greatest common factor of g and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 65550.\nAnswer: 65550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250559.\nAnswer: 71, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -8*y + 6. Let t be 2\/26 - 2750\/(-1430). Solve 0 = -0*o + t*o + y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14)*-2 + sqrt(14))*2)\/(4*sqrt(2)*-3))**2 + 2.\nAnswer: 79\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejnj when four letters picked without replacement from jljnjuljuvue?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/264 and -79\/40172?\nAnswer: 241032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -33005 at least -33214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzhmvzo. What is prob of picking 1 m and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10919 - 10743. Calculate the highest common divisor of 253 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56485584 divided by 2353566\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1101111 (base 2) to base 10\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9504839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 917d?\nAnswer: 9170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 4)*(2 + 2 - 3)*(-3*r - 24*r - 20 + 22).\nAnswer: -189*r + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 268\/3. Let n = -120 + 603\/5. Let s = -0.6 - -1. Which is the closest to n? (a) k (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89068 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-8)*(-8)\/12. Let d be (j\/(-3))\/((-14)\/798). Solve 6 = -5*p - d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184257 and 3127.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*b - 19214 = -435*b - 12173 + 35259 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 16*f. Let s(g) be the third derivative of -19*g**5\/30 - 7*g**2 - 34*g + 1. Calculate w(s(i)).\nAnswer: -2888*i**4 + 608*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 135. Suppose 0 = -5*w + i - 2. Solve 0*g - 2*y - 1 = -3*g, w*y = 4*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = y + 2*k, -2*y + 10 = -2*k. Suppose 2*m - y*m + 4 = 0. What is the greatest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22209.76ug in milligrams?\nAnswer: 22.20976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + 0.6. Let i(y) = -38*y - 16. Let z be i(1). Let k be 12*12\/z + -2 + 6. Which is the smallest value? (a) 0.5 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 35. Let x = o + 29.00000046. Round x to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/15 (b) -105 (c) 0.7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 6*h + 6. Let c(j) = 6*j**2 + j. Let b(t) = t + 6. Let g be b(-7). Let a be c(g). Determine y(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10543039 or -10543035?\nAnswer: -10543035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2078239 and -18?\nAnswer: 2078239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = 4*w - w. Let c = w - 120. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128851)\/53800*-10 - (25 + -1)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 1. Let o be (3 + 5)*(-14)\/(-8). Let a = 13 - o. Let j be (6\/7)\/(a\/(-7)). Give c(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:07 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/9 and 4\/(-7) + 20\/70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let m = -66 + -6. Let x be (-4)\/22 + m\/(-33). Give r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q. Let v(j) = 3*j - 1. Let b(l) = -4*g(l) - 3*v(l). Let m be b(9). What is the tens digit of ((-3)\/m)\/(2\/108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/44 - (-102)\/(-77)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28235177 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157436895 and 4125?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4 + 234*j**3 + 690*j**2 + 686*j + 228 = 0. Calculate j.\nAnswer: -114, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-82.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z + 4*m - 156, 5*z + m - 183 = 0. Calculate the highest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 3*n**2 - 2*n + 6. Suppose -5*l = 5*u + 5, 5*l + 4*u - 2*u = 7. Let i be y(l). Suppose -h + 7 - 5 = i. Solve b = -1 - h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140151570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27.254031 and 48655.\nAnswer: 48682.254031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 631*o**5\/10 + 2*o**2 + 312*o + 2. Let b(z) = -z**2. What is b(c(j))?\nAnswer: -14333796*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3\/14 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 3:51 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 + 10470*s**2 - 5481045*s = 0.\nAnswer: 0, 1047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2546*x + 16 + 16 - 7150*x - 32 as r*x + h and give r.\nAnswer: -4604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/12 - 2) + 28\/16. Let n(f) be the first derivative of 1\/9*f**3 + 0*f**o - 2 - 1\/3*f. Factor n(w).\nAnswer: (w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 405*q**3 - 2263*q wrt q?\nAnswer: 2430*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}