{"text":"Question: What is the distance between 827381 and -13?\nAnswer: 827394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -180 + -26?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1403077*p**3*r**3 + p**2*r**3 + 598*p*r**3 + 27 wrt p.\nAnswer: -8418462*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -18 * 0.12\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 901, 896, 889, 880, 869, 856?\n\"Answer: -p**2 - 2*p + 904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 8.04, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2\/7)*s*s**7*s)\/(s\/s**(1\/3)*s)**45)\/((s*s**(-1\/5))**(-13))**(22\/3) assuming s is positive.\nAnswer: s**(1048\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 4*h + 104. Let j be f(-26). Is 7 a factor of (-1)\/2*(-104 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 175305780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125 = 39*n + 112 + 559 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: a6c (base 15) to base 14\nAnswer: c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 40*g + 1399. Calculate r(-35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 70 - 65. Let r(a) be the second derivative of 0 + 1\/3*a**3 - 1\/20*a**5 + l*a - 1\/12*a**4 + 0*a**2. Factor r(m).\nAnswer: -m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 - 6*r + 9. Let h be c(6). Let a = h - 28. Let q = a - -31. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -94 - 87 + 181 - 1300*b**2 as m + j*b**2 + r*b and give j.\nAnswer: -1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 w, and 2 y when four letters picked without replacement from {y: 9, w: 2, j: 8}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 5*c - 33 - 2, 0 = 5*o + 3*c - 3. Let x = 21 - o. Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jlr when three letters picked without replacement from {j: 3, n: 1, o: 1, a: 2, l: 7, r: 3}?\nAnswer: 21\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -988\/9 + 110. Let r = 5.1818 + -0.0118. Let j = 1.17 - r. What is the nearest to c in j, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -308, 6, -0.4, 1\/8, 3\/4, 0.114.\nAnswer: -308, -0.4, 0.114, 1\/8, 3\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.186751 plus 17?\nAnswer: 17.186751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-3))\/(2\/(-6)) + -48 + (-21180)\/(-492)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 8*m**2 - 2 + 7*m - m**3 - 5*m**2 - 12*m**2. Is c(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 29.19 and -207.98.\nAnswer: -6070.9362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((1 + sqrt(17))*-3)**2.\nAnswer: 18*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/88 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 8*d**4 - 200*d**3 - 13198*d**2 - 38136*d - 28224 = 0.\nAnswer: -28, -3\/2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 374\/10 + 6\/(-15). Let o = d + -13. What are the prime factors of ((-25)\/3)\/((-8)\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 868758?\nAnswer: 2, 3, 11, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 - 3*d - 2. Let i be v(0). Let z be 0 + 5 + -2*(i + 1). Solve z*m - 8*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose r + d = -2*d - 4, r - 2*d - 1 = 0. Let c(h) = 19*h**3 - 5*h**2 - 6*h - 1. Let p(y) = -y**2 - y. Let f(b) = -c(b) + 5*p(b). Is f(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -8*n**2 - 2. Let i(d) = -4*d**2 - 102. What is k(i(q))?\nAnswer: -128*q**4 - 6528*q**2 - 83234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 v when three letters picked without replacement from fwafwaawwffwwwfv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 12:02 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6, m: 1, j: 1, c: 1, o: 3}. Give prob of picking 3 p and 1 j.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 - -23. Suppose 13*h = k*h. Solve h = 5*y + 25, 0 = -4*u - y - 1 - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, q: 3}. Give prob of picking 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1b7647 (base 14) to base 6\nAnswer: -33004543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 416523 to the power of 1\/2, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-8))\/((-5904)\/236160).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20\/8 - 1\/(-2). What is the tens digit of ((-13)\/(390\/(-36)))\/(p\/1270)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3802254681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5575, 22221, 49797, 88165, 137187?\nAnswer: 196725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/1588092 and -49\/5364?\nAnswer: 709877124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 261414072?\nAnswer: 2, 3, 31, 173, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (336\/63)\/(24\/4)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -670.4 - -670. Let r = -0.05 - -3.05. Which is the biggest value?  (a) o  (b) -2\/13  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2766 + -2778. Let m(y) = y**3 + 13*y**2 + 7*y + 3. What is m(p)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 45. Let o be c(-22). Let b = o + 41. Suppose -5*i + 2 = -b. Calculate the least common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -125.1 - -124. Let n = -6850.64 + 6851.7400026. Let i = n + a. Round i to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 - 5*f**2 + 7*f + 4. Suppose 0 = i - 17*i - 96. What is x(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6398a83 (base 11) in base 5?\nAnswer: 10340144422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6515*a**2 - 238909 + 119545 + 119684 wrt a.\nAnswer: -13030*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4269, 4279, 4289, 4299, 4309, 4319?\nAnswer: 4329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1775 divide 33807563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -565, -1050, -1535?\n\"Answer: -485*m - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 34  (b) 5  (c) -21\/4  (d) 0.06  (e) 14  (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1517172 by 16491.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7160*o - 369 = 6791*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - r - 53, 3*b + 3*r = -b + 88. Suppose 5*i + 5*c - 95 = 0, 0*i + 5*c + 1 = i. Suppose b = 5*y - i. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p - 7. Let x be c(-5). Suppose 0 = -0*y + y + 2*s - 5, 4*y - s = -16. Sort y, -5, x in descending order.\nAnswer: x, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -34041 - 14?\nAnswer: -34110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.6 - 1. Let r = 274.4 + -488. Let i = r + 214. Sort 2\/21, i, d in decreasing order.\nAnswer: i, 2\/21, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 + 29. Find the second derivative of -10*v**2 + 29 - 27 + s*v - 2*v**2 + v**3 wrt v.\nAnswer: 6*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1582*b**6 - 154*b**2 + 2.\nAnswer: -189840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 138 + -138. Let f be 4 - ((-348 - n) + (0 - -1)). Let v = f + -186. Does 33 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 8*c + 9. Let s be x(-8). Let t = -36 + 38. Let n be 1\/5*t - (-69)\/15. Solve 5*b - s*b = n*h - 21, -b = h - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00009714 to 6 decimal places.\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24 - -14. Let z = -197 - -192. What is the second smallest value in 4, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**2 + 0*s**2 - 2*s**2)*(7 - 2 - 2 + 2 + 3 - 2 + (4 - 4 + 2)*(4 - 1 - 2)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7, -3, -2643.\nAnswer: -2643, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 8071, 8081, 8103, 8143, 8207, 8301, 8431, 8603?\n\"Answer: a**3 + 3*a + 8067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2)\/u)\/(u\/(u\/u**(-2\/33)))*u**(-19)*u*((u*u\/u**(-18))\/u*u)\/u assuming u is positive.\nAnswer: u**(-64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -355719 divided by 39.\nAnswer: -9121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 9*h + 1. Let v = -87 + 89. Let t be ((-4)\/6)\/(2*v\/(-30)). Let y be (-2 - -7) + (t - 7). Calculate b(y).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccccccchccccccccc. Give prob of picking 3 c.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 8395*i**2 - 2. Let h be u(-1). Suppose 2*g - h = -4*n + n, -4*g + n = -16807. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.039  (b) -16094  (c) -1  (d) -2\/11  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(36)\/(-1*sqrt(12)*-3) - (sqrt(432) + sqrt(432) + 2*sqrt(432) + 2)*4.\nAnswer: -575*sqrt(3)\/3 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -219400701 to the nearest one hundred thousand.\nAnswer: -219400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 15) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3112939273.\nAnswer: 263, 11836271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 377603402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*z - 18 = -18 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ts when two letters picked without replacement from {y: 3, s: 6, t: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 3*f = 4*w + 6, 2*f = 4*w + 26. Let n be (-6 + 20)\/((-3)\/6). Let g be (-18)\/63 + (-596)\/n. Sort 5, g, w.\nAnswer: w, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*5\/(1875\/(-350))*(-36)\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 121690607\/(-4209) + 1 + 1. Let m = 28910 + q. Let p = m + 214648\/46299. Calculate the common denominator of -5\/8 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1473272249040 + 0.3.\nAnswer: -1473272249039.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hffq when four letters picked without replacement from hfqqh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + 349. Is 248\/6*62217\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -110 - -40410244?\nAnswer: 40410134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (1 + 2\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -0.05, 3\/4, -11, -2, 323?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-76)\/(-7))\/((64\/28)\/((-2104)\/(-263)))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(32*2\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l. Let f(j) = -63*j**2 + 2. Let s(z) = 12980*z**2 - 413. Let v(w) = 413*f(w) + 2*s(w). Determine c(v(x)).\nAnswer: 118*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (44\/33)\/((-2)\/69). Let m be i\/(-207) - 35\/36. Put 0.2, 9, m, -5 in descending order.\nAnswer: 9, 0.2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -162186496 divided by -3\nAnswer: 162186496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 5*j + 5. Let b be c(9). Suppose 7*m - b = 2*m - r, 0 = 4*m + 2*r - 28. Solve 4 = m*k - 8*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 + 275*g + 280*g + 245*g - 845*g in the form t + l*g and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 471 = -157*t, 2*a - 3*t = 12 + 8 - 29 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13654234 divided by 13654234.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2252 is divided by 992.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + -32223122?\nAnswer: -32223132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.1 - -0.1. Let a be 2\/3 + (-53)\/66. Let w = a - 1\/33. What is the nearest to -1 in w, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 3 + 1)*(-c + 0*c + 0*c) + (-2*c - c + 4*c)*(1 - 2 + 2))*(-2*c - c**4 + 2*c).\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -3, -85, 0, -2 in ascending order.\nAnswer: -85, -3, -2, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 287448965.\nAnswer: 1149795860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - 11*z**2 + 14*z + 6. What is the units digit of y(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -521 + 183 - 15*s + 164 + 14*s + 174.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1539752347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30 + 37. Suppose 0 = k*d - 2*d - 290. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 29. Let b = -1536.46 - -1565. Let m = t + b. What is m rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*r - 28 = -26*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/3  (b) 0.03  (c) 18.3  (d) 3.9  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189756 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 10*z + 19. Let o be c(-10). Find the second derivative of 4*h**3 - o*h - 14*h**3 - 4*h**3 wrt h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0*s - s**2 - 44*s**6 + 32*s**6 + 0*s wrt s?\nAnswer: -1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11.786 + 7.886. What is the closest to -2\/7 in g, 8, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68\/17*((-363)\/44 + 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w - 5. Let f(z) = -5*z - 11. Suppose 3*y = 2*j - 5*j + 6, -4*y + 48 = -4*j. Calculate y*q(r) - 3*f(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of -y**5\/20 + 2*y**4\/3 + y**3\/3 - 6*y**2 - 2*y. Let c be d(8). What is the derivative of c*b**2 + 16*b - 16*b + 5 wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 - c + 4. Suppose -2*g = 0, u + 3 = -2*g - 0*g. Let h be a(u). Let o(q) = -13*q - 2 + 7*q + 2*q. What is o(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 0*s + 2 - s + s + 1 - 1 + 0*s + s - 3*s + 3*s - 2*s - 3*s - 2*s + 1 - 1 + (-5 + 1 + 3)*(2*s + 1 - 1))*(5 + 0 - 3)*(11 - 9 - 18).\nAnswer: 192*s - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -43*v**2 - 10713*v + 1145*v**2 - 1104*v**2 - 5906*v as n*v + f*v**2 + y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of -m**8\/1344 - 19*m**7\/840 - m**6\/480 + 97*m**5\/80 - 45*m**4\/16 + 2*m**2 - 556*m - 5. Determine r, given that y(r) = 0.\nAnswer: -18, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 747, 1486, 2215, 2934?\n\"Answer: -5*i**2 + 754*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddccbcddscdtd. Give prob of picking 3 d.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-6)*(j**(-2)*j)\/j)\/(j\/j**(1\/9)*j\/(j*j\/(j*j*j**4))))**(8\/7) assuming j is positive.\nAnswer: j**(-1000\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 598771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98) + -2)*-6 - (1 + sqrt(98) + -1))**2 + ((5 + (sqrt(98)*-3 - sqrt(98)))**2 - sqrt(98))*4.\nAnswer: -2324*sqrt(2) + 11318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**6)**(-1\/24)\/(i**(-2))**(-25) assuming i is positive.\nAnswer: i**(-151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkhhkgvgvhggkkkvh. What is prob of sequence vk?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 40, 5, -868, 0, 6 in descending order.\nAnswer: 40, 6, 5, 2, 1, 0, -868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 - 5*m - 4. Let o be x(6). Let h be o + 6\/(-2) - -49. Let i be 0 - 2 - h\/(-27). Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -968*d - 968*d + 1943*d. Let h(t) = 48*t. Determine 4*h(p) - 27*i(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from geergterergrtglggg. Give prob of picking 3 g.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13427568 by -25431.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35333551 (base 7) to base 9.\nAnswer: -5771741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14*o**3*x**2 + 35*o**3*x - 16*o**2*x**2 + o*x**4 - 879*x wrt x?\nAnswer: 28*o**3 - 32*o**2 + 12*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3822*z**3 - 14396 + 14396.\nAnswer: 3822*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 AM and 3:26 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of -t**5\/120 - 7*t**4\/72 - t**3\/9 + t**2 - t + 14. Let o(v) = 0. Calculate v.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - -313001122?\nAnswer: 313001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 123 - 48. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2431 - -13?\nAnswer: -2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 348 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(8064))\/(2*sqrt(242)))\/(-5*-6*-2*sqrt(400)).\nAnswer: -sqrt(7)\/1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1713*r**4 - 1712*r.\nAnswer: -20556*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 7*x - 2. Let z be (0 - -5) + -4 + 1. List the prime factors of y(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 282 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35343)\/3366 + 2607\/246?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 84*i - 847. Let p be m(21). Calculate the highest common divisor of p and 262.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4*u = -1 + 18, -1 = 3*v + 2*u. Let d(q) = q - 3. Let k be d(v). Suppose n + 3*t = 29, -5*n + 109 = -3*t - k. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1523393 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 l, and 1 w when three letters picked without replacement from wywywwwyywwyylywwww?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 462*g**4 - 1386 + 1386 - g**4 + 2*g**4 - 2*g**4 + (0 + 1 + 1)*(0*g**4 + g**4 - 2*g**4).\nAnswer: 459*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 88049 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 7*l + 2. Let u(q) = -531*q - 153. Give -459*g(k) - 6*u(k).\nAnswer: -27*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*s**5 - 5469*s**4 - 121*s**3 + 4524*s**2 + 137.\nAnswer: 360*s**2 - 131256*s - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 56104, 3, -66?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 73\/4 + -373\/20. Let q = -7 + 6.3. Is f at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -72*h - 600. Give d(-6).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-108)*(-16)\/2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 15349 = 92101\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 432760 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 373479099 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 39\/11 in 6, -3, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-3)*9)\/((-3)\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5990 or -5768?\nAnswer: -5990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 597 = -87*g - 969 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -127, -96 in decreasing order.\nAnswer: 4, -96, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -965936, -965938, -965940?\n\"Answer: -2*l - 965934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 5*w = 2*w - 169, 2*w + 126 = 3*o. Suppose -3*t + o + 141 = 5*v, 150 = 4*v + 5*t. What is the remainder when v is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 100 and 412700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 2*s - 8, 62*v - 4*s = 58*v + 4. Solve -r + 7 = -v*j, -4*j + 4*r - 8 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x - 4. Let z(j) = j - 1. Let k(r) = -q(r) + 4*z(r). Let a(u) be the first derivative of 3*u**2 + 13*u + 1970. Give a(k(y)).\nAnswer: 18*y + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 10:23 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 120 and 220.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26 (base 10) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -468?  (a) 3\/4  (b) -2  (c) -31  (d) 11  (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -2721097 to the nearest 10000.\nAnswer: -2720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 832.\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 > -103944923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -8*y**3 + 1838*y**2 + 438*y + 5060. Determine l(230).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18670110 is divided by 68388.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 36. Let k = w + -22. Solve 5*a - 5*i + 15 = 0, -a - i + k*i - 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 8*a + 3. Let z be m(15). Let k = z + -62. Differentiate -11 + 47*n**4 + 3 - 87*n**4 + k*n**4 wrt n.\nAnswer: 84*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -129*q**2 + 2*q. Let s(k) = -191307*k. What is c(s(v))?\nAnswer: -4721189504121*v**2 - 382614*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 h when three letters picked without replacement from {s: 3, h: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 653 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - f + 4. Let g be j(0). Let s be g - 4*(-1)\/(-2). Solve n = s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (16\/9090)\/((-26)\/5811). Let i = z + -2\/303. Let s = 99\/235 - 1\/47. What is the fourth biggest value in 2\/7, -0.3, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1562*j - 3970 - 6257 - 7026 + 4757 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 41369\/890 - -8\/445. Calculate the common denominator of t and 1\/(10\/(-122)) + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -363.5 - -363. What is the second biggest value in -5, 0, 100, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m*m**(4\/5))\/(((m*((m*m\/(m\/(m*m\/m**(1\/4)*m)))\/m)\/m)\/m)\/m)*((m\/(m**0\/m))\/m)**46)**(1\/5))**(2\/53) assuming m is positive.\nAnswer: m**(961\/2650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8258, -1, -10 in ascending order.\nAnswer: -10, -1, 8258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a day in seconds?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, l: 9, y: 4, r: 1, v: 4}. What is prob of sequence rv?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 147620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**2 - 4*y**2 + 7*y**2 + y**5 + (0*y**3 + 6*y**3 - y**3)*(y**2 - 2*y**2 - y**2).\nAnswer: -9*y**5 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in -346, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*p + 64. Calculate the lowest common multiple of p and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p**3 - 25*p**2 + 25*p**2)*(p**2 + 1 - 2 + 2*p**2) - 5*p**5 + 4*p**5 + 8*p**5 + 0*p**5 + 2*p**5 + 0*p**5.\nAnswer: 21*p**5 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-84)\/16*2314\/7743*58?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10612890*h**3 + h - 588285?\nAnswer: -63677340*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3514 > 3490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26954 + 59761. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39085 by -16.\nAnswer: 39085\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -9*n + 3. Let x(z) = -28*z + 10. Give 16*f(c) - 5*x(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g**4 - 110*g**3 + 915*g**2 + 16720*g - 115520 = 0 for g.\nAnswer: -19, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 3*f - 10320, -6*t + 9*t = f - 10310. Is t at least as big as -3434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 88943 + 4\nAnswer: 88947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40*(-123)\/39032*17.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3*y = q - 16, -5*y = 2*q - 32. Calculate the lowest common multiple of q and (6\/(-9))\/(4\/(-54)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 3*g**2. Let q(s) = 2*s - 1. Let b(l) = -l - 1. Let c(o) = -b(o) + q(o). Give z(c(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*o - 324 + 324 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/30 and 22\/3147.\nAnswer: 31470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 + -2 - (11 + -13)) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -73304 divided by 154?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**16\/z*z**(-36)*z**33\/(z*z\/(z*z*z**(5\/9))) assuming z is positive.\nAnswer: z**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -471 + 206 + 10*s**2 + 265.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((936\/126)\/26)\/(18 - 9)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.1  (b) -0.01  (c) -2  (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 47 * -71944\nAnswer: -3381368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*w**4 - 243*w + 708 wrt w?\nAnswer: -12*w**3 - 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1558 - -1.8442. Sort -0.13, y, -0.5, 13, -1\/5 in descending order.\nAnswer: 13, y, -0.13, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37, 75, 113, 151, 189?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 5  (b) -1381  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus 50798?\nAnswer: 50798.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 684 + 416. Let p = -121 + z. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2463333.\nAnswer: 3, 643, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 66203 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -1139.8465 to the nearest integer.\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 140 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s**2 - 40 - 87 + 2*s**2.\nAnswer: 2*s**2 - 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of i**4\/4 + i**3 + 3*i**2 + 3115. Determine j(-5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4965216 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3791 and 4606.\nAnswer: 17461346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/8 - 248782\/(-337968).\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 459 = 42. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3799, -3712, -3621, -3526, -3427, -3324, -3217?\n\"Answer: 2*f**2 + 81*f - 3882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/(-1) + 21)*4. Suppose -5*k - 33 = -r. Suppose p - k = 3*x, -4*x + x + 12 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + 5)*(-6)\/(-18). Let y be 6\/3*(-1)\/o. Let h be 5 - (-1)\/(0 + y). Solve 2*c = -5*z - 13, 0 = h*c - z + 1 + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.3 or -223643074?\nAnswer: -223643074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5335\/17 bigger than 315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -1, 132, 156 in decreasing order.\nAnswer: 156, 132, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 2*m - 3*m + 23 = 0, 4*m = -d - 8. Let t be d*-2*2\/(-6). Let -3*x**3 - 3*x**3 + 9*x + 21*x**4 - 21*x**2 - 11*x + t*x = 0. What is x?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of -g**7\/147 - 2*g**6\/105 + g**4\/21 + g**3\/21 - 6*g. What is q in r(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 10:19 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 9 = -3129*g + 3126*g, 5*g - g + 3*j - 14 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9920, 9823, 9652, 9401, 9064, 8635?\n\"Answer: -j**3 - 31*j**2 + 3*j + 9949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of 2*g**6\/45 - g**5\/30 - g**4\/4 - 11*g**3\/36 - g**2\/6 + 47*g. Solve y(t) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/(-121)*(-240)\/36)\/(6\/9)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of m**5\/120 + 16*m**3 + 47*m**2 - 2*m. Let d(k) be the first derivative of n(k). Let s(a) = 157*a. What is d(s(o))?\nAnswer: 157*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum -622 and 0.44911782568.\nAnswer: -621.55088217432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 - 112*z**2 - 96*z + 1654. What is q(-111)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 65 = -2*d. Let t = 1605 + -1529. What is the tens digit of (-1555)\/d + (-3 - t\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 322848 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 95 = 6*i. Calculate the remainder when -10 + 218 + 2 + -3 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zuhg when four letters picked without replacement from {u: 1, h: 2, z: 4, g: 6}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05397 times 72?\nAnswer: 3.88584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 92593143 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 4  (b) -2  (c) -0.2  (d) 1201  (e) -5  (f) -0.067\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {r: 1, q: 1, h: 2, w: 1, e: 1, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, w: 4}. Give prob of picking 1 w and 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 203198*d. Let v(c) = -27*c. What is a(v(n))?\nAnswer: -5486346*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 28*a + 17. What is g(-28)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3439737?\nAnswer: 3, 7, 71, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -28 - -39. Let o = -1446.7179 + 1457.717941. Let q = x - o. What is q rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -23*d**3 + d**2 - d + 1. Give i(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -64 - -79. Calculate the least common multiple of d and 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(4\/3))\/(9\/12) - -24. Solve 5*j = s*c - 18*c + 3, 3*c = -3*j - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 112 + -112.4. Let j = -6.1 - -9.1. Sort s, j, -27 in decreasing order.\nAnswer: j, s, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 2*n - 4*b, 10*n - 2*b = 6*n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.89 - 0.11. Let m = y + 3. Let b be (-2)\/(-9) - 40\/(-630). Is m not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-12)*2 + (-11)\/33. Let x = -10 - -4. Let f be 12\/(-16)*(-2)\/x. Which is the closest to f?  (a) 3  (b) 0.3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167 = 32*j + 71 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 11:20 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-112)\/(-21) + 16\/(-12) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-20) - (-2)\/10. Let b(k) be the second derivative of -3*k + 2\/3*k**4 + 0 + a*k**5 + 1\/2*k**2 + 2\/21*k**7 - 3\/10*k**6 - k**3. Factor b(p).\nAnswer: (p - 1)**3*(p + 1)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24\/36*36\/(18\/6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**(-1\/18)*h)*h**29)\/(h*h\/(h*h\/((h**5*h*h*h)\/h))*(h\/(h*(h**(-1\/34)\/h)\/h*h))\/h))**(-5\/4) assuming h is positive.\nAnswer: h**(-8425\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 2)*((-6*b - 159 + 159)*(3 - 3 - 2) + 3 - 214*b + 211*b + 29).\nAnswer: -18*b - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 3, -0.1, -3\/7, 177, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3 + 143394*g**2 - 127056258*g + 27973453150.\nAnswer: 2*(g - 439)**2*(g + 72575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 11*a - 5. Let t(w) = -2. Let n(p) = t(p) - u(p). Let y be ((-9)\/(-12))\/(1\/(-4)). What are the prime factors of n(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 4)*(-2 + 2*d + 2 + (0*d + 2*d - d)*(2 + 0 + 0)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27239, 54398, 81463, 108386, 135119, 161614, 187823?\nAnswer: 213698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(396) + -1).\nAnswer: -36*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7414 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 366 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 40 = 2*q, 2*q + 4*b - 3*b - 40 = 0. Solve -4*l = -2*x - q, -3*l = 5*x + l + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -6. Suppose 2*l = -s + 13. Solve -2*o - 2*o = -l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8056 and 301358?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 96, 146, 196, 246, 296?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 5:57 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 68268*n**5 - 83*n**4 - 48*n - 11503?\nAnswer: 1365360*n**3 - 996*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 71 - 68. Calculate the greatest common divisor of 27 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 8*j + 40. Let a be h(-5). Suppose a = -2*s + 104 + 612. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = -3*d + 5*k, -30 = -5*d - 3*k + 104. Let r be ((-1)\/(-26))\/((-7)\/d). Let w = 2\/6921 - 4616\/6921. What is the smallest value in -4, r, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/7 + 92*p\/7 + 1040\/7.\nAnswer: 2*(p + 20)*(p + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(((b\/b**0)\/b)\/b)\/b)**(14\/3)\/(b*b\/b**(-2))**(-12\/5))**(-9) assuming b is positive.\nAnswer: b**(-222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004323547 rounded to four decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-10) - 18\/(-5). Suppose 4*f + z*a = 2*f - 10, -5*f - 4*a - 1 = 0. Let n(q) = -q**3 + 2*q**2 + 5*q - 3. Let p be n(f). Solve 7*w = p*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - -2)\/(336\/(-114) + 3). Let v = 82 - z. Does 6 divide v\/(-200) + (-1 - (-297)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*b**3 + b**2 - 4*b**3 + 10*b**3 + b + 12*b**3 in the form q*b + s*b**2 + r + l*b**3 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 5*m + 5 = -2, 5*m = 2*v + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (2 - 0)) + (49 - 44).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11944*i**3*v**2 - 17*i**3 - 94*i**2 + 48*i*v**4 - 107*i - 2 wrt v?\nAnswer: 23888*i**3*v + 192*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -13. Suppose 111 = 5*c + 31. Let t = c - 0. Calculate the remainder when t is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140428 divided by -6?\nAnswer: 70214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g + 14*g**2 + g + 5*g - 12*g to l + z*g + u*g**2 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -108*i**3 - 98*i + 28*i**6 + 109*i**3 - 57*i**2 + 58*i**2 - i**4 + i**4 wrt i?\nAnswer: 3360*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - ((-16)\/(-12) + 2). Let m = -2 - -1. Suppose -4*s = 5 + 7. Which is the closest to m?  (a) -5  (b) s  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 17 = 3*a, 5*a + 16 = 5*f + 61. Suppose a*v + 12 = -2*v. Let c be ((-12)\/15)\/(3\/15*v). Solve -c*p + 3*k = -4*p - 20, -3*p = k + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, p: 8, i: 7, w: 3}. Give prob of picking 2 y.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 25 - 344544?\nAnswer: -344516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -304 + 514. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1324 + -1306. Solve 3*r - 2*s = -19, 5*r + j = r - s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 444421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -83*f**3 + f**2 - f - 1. Is y(-1) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.018196 and 26?\nAnswer: 25.981804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 17*w - 17. Let v be t(-16). Which is bigger: v or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.766 - 0.066. Let q = -1.9 + a. What is the nearest to q in -3\/5, 3, -0.8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-6) - (-552)\/(-144). Let n = p - 11\/3. Find the common denominator of 3\/677 and n.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 2*w + 24 = 0. Suppose -3*j = -8*j - 4*h - 21, -3*h + 23 = -4*j. Let m be (-26)\/w - ((-60)\/(-18))\/j. Solve 7*t = 3*x + 5*t, m*x = 2*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/15?  (a) -0.2  (b) -8  (c) -6  (d) -269  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-82)\/(-205))\/(19\/(-5))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159*g + 155*g - 3*q = -1732, -2*g + 866 = 4*q. Calculate the remainder when g is divided by 116.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4012 divided by 236?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15624.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -12889030 divided by -33478?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62, 55, 46, 35, 22, 7, -10?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15079 - -15079.02. Let t = 4 + -2. Which is the closest to d?  (a) 0  (b) -1  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 327*14275.3.\nAnswer: 4668023.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggvggvvggv. Give prob of sequence gv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3088)\/(-130) + 4 + -7. Let y = s + -103\/5. Let v = -1.5 - -5.5. What is the closest to 0 in v, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/4, 12\/7, -0.44?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126 = r + 124. Let a be (-1)\/((-6)\/4*2). What is the nearest to 0.7 in r, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 11, t: 2}. What is prob of sequence kt?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7804.2 + 7804.199963061. What is k rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4022*m + 4029*m - 12116*m + 4042*m.\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66079935 divided by 1.\nAnswer: 66079935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 0*n + 25. Find the second derivative of -p**2 + p**2 + 15*p + 11*p**3 - n*p wrt p.\nAnswer: 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7899094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32102.\nAnswer: 2, 7, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 143  (b) 3355  (c) 0.5  (d) 4  (e) -0.4  (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (((-108)\/(-15))\/9)\/(1\/(-5)). Let a be u - (138\/(-21) + 18\/(-42)). Sort a, 4, -11 in descending order.\nAnswer: 4, a, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + -62 + 63 - 53.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -39\/5, 4, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 167, -15, 0, -4, -2251, -2.\nAnswer: -2251, -15, -4, -2, 0, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40026, 40035, 40044, 40053, 40062?\nAnswer: 40071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-33)\/2 - 3178\/7945*(-10)\/(-24))*-3?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - -1101?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10003, 20296, 30589, 40882, 51175, 61468?\nAnswer: 71761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3988\/(-10)*(-7 + 2). Suppose -5*d + 437 + n = -2*l, 2*d - 980 = -3*l. Suppose 1213 + d = 2*f. Round f to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1331 is divided by 83.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 139826.099 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -1\/113390428 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/15 or 1351.6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 2162900 to the nearest 10000.\nAnswer: 2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z*z**(5\/9)\/z)*z**(11\/2))\/(z*z**(3\/11)*z**0) assuming z is positive.\nAnswer: z**(1123\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-13) + 5\/(10\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 39 = -4*c, 0 = -4*c - w + 8 + 51. Suppose 0 = a - 17 - 127. What is the greatest common divisor of a and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 221863920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -18, 3, 23, 8, -117.\nAnswer: -117, -18, 3, 5, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 + 15*v**2 - 11*v - 29. Determine u(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -54304*w**3 - 9711*w - 4 wrt w.\nAnswer: -325824*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -3*q + 71, 4*q - 46 - 60 = -3*w. Solve -r + q = 4*h, 18 - 58 = -4*r - 4*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/53 at least 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - 6*c - 6. Let x(r) = -2*r**3 - r**2 + 11*r + 12. Let g(h) = -4*x(h) - 7*y(h). Determine g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 91*g*t*z - g*u + 3*g*z + 58*g - 2*t*u - u wrt t?\nAnswer: 91*g*z - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*a**2*i - 34*a**2 - 2*a*i + i - 520 wrt a?\nAnswer: -20*a*i - 68*a - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -214 - 4c?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/11*a + 2\/11*a**2 + 0.\nAnswer: 2*a*(a - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 10*c**2 + 15*c - 1. Let a be u(11). Let s = a - 39. Solve 0 = 2*x - s + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*v - 2*y - 8, -12*v + 17*v + 2*y + 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.7 rounded to one dp?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 67356?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + t**4 - 2*t**4 - 4*t - 8*t**2 + 7*t**2 + 3*t to the form a + v*t + k*t**4 + r*t**2 + s*t**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3368, -3364, -3360?\nAnswer: -3356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 + 0*h + 9*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11289 + 11321. What is the least common multiple of 1444 and j?\nAnswer: 11552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + d + 1. Let h(l) = -l**3 - 17*l**2 + 6*l - 6. Let v(s) = h(s) + 3*p(s). Let k be v(8). Let i = 0 - -2. Which is greater: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-32)\/(-14) - (-8)\/(-28). Let n = -3 + 4. Let j be 2\/24 + n\/(-3). Which is the nearest to -1?  (a) j  (b) 5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*0.1863\nAnswer: -0.9315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 4:19 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10\/21  (b) 1  (c) 43\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6\/7*r + 2\/7*r**2 + 4\/7.\nAnswer: 2*(r - 2)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (132 + -1)\/(3\/6). Let a = c - 163. Let h(j) = -j**3 - 8*j**2 + 8*j. Let d be h(-9). What is the greatest common divisor of a and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(36\/120*-3 - 3\/5) - 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 0*s - 2*s - 2*s. Let b(w) = -123 + 58 + 65 - w. Give j(b(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 960 + f**2 - 2*f**2 + 2*f**2 - 972 - 10*f. Give y(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138655109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -3, -0.3, 4, 22\/15, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, m: 2, k: 1, x: 1, n: 1, t: 1}. What is prob of picking 1 x and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 933607.5kg in micrograms?\nAnswer: 933607500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12 + (2 - 2 - 2). Solve -s - q = 4*f + 7, 0 = 5*f + 4*s + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ypydyrypydy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, b: 3}. Give prob of picking 4 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 407267 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or 7103?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2081 divided by -79.\nAnswer: 2081\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-40 + 37 + (-3 - -1) - (-1 - 5)) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 25 + -17 - 8 - (-56 + 5 + -5)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/861 or 1?\nAnswer: -1\/861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + -5. Suppose -i = 4*b - 61. Suppose -4*n - 1 = j, -3*j = 2*n + 5 - 2. Solve -6*v + v - b = n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5*o**2. Let m(f) = 3*f - 7*f + f. Calculate q(m(i)).\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 868 - 347. Let u = x - 517. What is the greatest common divisor of 32 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 18223 + 2503 = 0. Suppose -7*b + x = b. Let i = b - 338. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 119439178 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 + 36. What is the remainder when 41 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 0.8  (b) -6  (c) -56  (d) -10  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1413 divide 252066483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away -4252?\nAnswer: 4251.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8457 divided by 21?\nAnswer: 2819\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 319 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**3 - 127730*z**2.\nAnswer: 5*z**2*(z - 25546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**(3\/7)*t)*t**(-3)*t**(-17\/4))\/(t**32)**(-8\/13) assuming t is positive.\nAnswer: t**(4373\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Work out -188028 + 39268.89.\nAnswer: -148759.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -87, 8, 2 in descending order.\nAnswer: 8, 2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124502933 is divided by 578?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 718887607.\nAnswer: 47, 15295481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 + 8*s - 8. Let q(j) = 3*j + 123. Let i be q(-41). Let w = -2 - -20. Suppose i = 7*v - 5*v + w. Give f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 + 13*t + 5. Let j be v(-6). Let u be (-3)\/j + 25149\/63. Let a = u - 402. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4219.2406 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) - -3*sqrt(76)*2)\/(4*(sqrt(4)*-1 - sqrt(4) - sqrt(4))).\nAnswer: -7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2505 + 1569. Let d = s + 935.8. Let v = -1.9 + 2. Sort -5, d, 4, v.\nAnswer: -5, d, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 11. Suppose 7*n - 5*n = l. Suppose 3*k + n*k + 5*t = 84, k - 2*t = 39. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 16, -5, -8, 1\/13.\nAnswer: -8, -5, 1\/13, 0.2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*i**4 - i**3 - 1968 + i**2 + 0*i**4 + 1963 as t*i + f*i**4 + z*i**3 + a + j*i**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 364482571?\nAnswer: 281, 1297091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 52\/20 + ((-6)\/(-5))\/3. Suppose -5*t = s - 203. Let v(m) = 20*m. Let a be v(5). Calculate the greatest common divisor of t and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -31*m. Let k(s) = 150*s. Give k(w(b)).\nAnswer: -4650*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2453, 9809, 22083, 39287, 61433?\nAnswer: 88533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -t + 4. Let d be 0\/3 + 0\/t. Suppose d = -m - m + 18. Calculate the highest common factor of m and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - y - 1)*(0*y**3 - y**3 + y**2 - 28*y + 24*y).\nAnswer: y**4 - y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/5*((-2)\/(-2))\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -714*h = 2120 + 35722 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 285*i + 687?\nAnswer: 285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 8:35 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40483 is divided by 40465.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -289176366*z + 144588186*z + 144588184*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1001257810 by 5.\nAnswer: -200251562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 5*j - 5*n = 390, 4*j + 2*n = 1582. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8\/37 - -162\/407. Which is the third biggest value?  (a) g  (b) -0.1  (c) -2\/5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**2 - 470*h - 4907. Determine r(245).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5 = -x + 3, 0 = -3*x + 2*n + 2. Suppose 4*o + 2*i = 30, 5*i = -4*o + 4*i + 27. Find the third derivative of -o + 6 - 2*b**x + 2*b**6 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-7)\/((-21)\/9). Suppose 0 = 3*b + y*b - 14. Solve 2*q - q - 13 = -b*a, 3*a + 5*q = 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (3\/(-2))\/(4 + (-790)\/(-115)) and 37\/10.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 864857053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -23550 and 144.\nAnswer: -3391200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45498 is divided by 38?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22.6143 + -22.71. Let z = -0.0457 - t. What is the biggest value in z, -1\/5, 3, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/7*-18)\/((-3)\/2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 - 630323*i + 3151640.\nAnswer: -(i - 5)*(i + 630328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**4\/5 - 34*d**3\/5 - 76*d**2\/5 = 0.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 27 = 911*p - 912*p, -5*p = 3*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/4)\/(24\/(-192)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 297*p**2. Let t(c) = -238*c - 238*c - 236*c + 711*c. Give w(t(g)).\nAnswer: 297*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -27965*m**2 - 119. Let h(r) = -474*r**2 - 2. Determine 119*h(s) - 2*k(s).\nAnswer: -476*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o - 1438 - 16418 = 0. Is o a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 + 1. Let g(f) = -6*f**2 + 79. Determine -g(u) + 5*y(u).\nAnswer: u**2 - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, o: 7, a: 3, m: 4, h: 4}. Give prob of picking 1 a and 1 h.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away 0.0443?\nAnswer: -5.0443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.8 + 3.1. Let n = -2 - -1.7. Sort h, n, 0.4 in ascending order.\nAnswer: n, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-10)\/(-2))\/(3*5\/(-90)). Let h = -30 - r. Suppose h = 4*s - 3*s - 47. Does 28 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**6)\/(l*l*l*l**(-2\/3)*l)*(l**(3\/7)*l)\/(l**(-2)*l))**(-36) assuming l is positive.\nAnswer: l**(-1536\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.04  (b) -3  (c) -2  (d) 0.05  (e) 11453\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -34773770*u**3 + 67089*u**2 + 397 wrt u?\nAnswer: -208642620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/9 - ((-4)\/4 - -1). What is the smallest common multiple of (-6)\/2*40\/(-6) and f*(60\/6)\/(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 2*y**3\/19 + 13332*y**2\/19 + 305578*y\/19 = 0?\nAnswer: -6643, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*(f**(2\/5)\/f)\/f*f**(-1))**(1\/2))**(-3\/8) assuming f is positive.\nAnswer: f**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 + 7*i**2 + 3*i - 2. Let u = 113 - 119. What is k(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((14\/1092)\/((16\/(-20))\/(30\/(-25))))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*p = 10*p + 98*p - 1176 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) -0.11  (c) 3\/148  (d) 1  (e) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3480*q**2 + 7461*q?\nAnswer: 6960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of u**4\/4 + u**3\/3 - u**2\/2 + 2*u + 1. Let p be x(0). Solve 22 = -4*c + 5*t, -2*c - 3*t = -p*t + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 5\/3, -4\/1119 in increasing order.\nAnswer: -4\/1119, 0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b + 599 - 7*b + 11*b**2 - 6*b.\nAnswer: 11*b**2 - 10*b + 599","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -5*q + 66. Let y = 1664 + -1659. Solve 0 = -a + f - 4, -2*a + 0*f = y*f - q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19768 and 0.8.\nAnswer: -15814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 0.05, -36.4, 12\/13?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 548069 equal to 548069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 4) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(1\/40)*m*m**15)\/(m\/m**(-1)*m**(1\/50)*m*m))**(-1\/23) assuming m is positive.\nAnswer: m**(-2591\/4600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9901981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1403564152 to the nearest integer?\nAnswer: 37464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23004 or -23003?\nAnswer: -23004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-4)*(13 - 1). Suppose 2*f - 4 - o = 0. Suppose -103 = -f*j + 4*u, 6*j - 3*j + 3*u = 78. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 96924467 or 96924465?\nAnswer: 96924465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50782.\nAnswer: 2, 25391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -44\/597 and -91\/665124.\nAnswer: 132359676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - z = 480. Let u be (9\/(-15))\/(((-21)\/15)\/7). Suppose u*f - f = -4*g + 86, -g + 14 = 2*f. What is the highest common divisor of g and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1165210.\nAnswer: 2, 5, 109, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 13, b: 3}. Give prob of picking 2 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 87, 247, 483, 795?\n\"Answer: 38*q**2 + 46*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10.9007 - -0.0993. Which is the third smallest value?  (a) -3  (b) 90  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 321 and 40232?\nAnswer: 120696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 256271832 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-3\/7)*h)\/((h*h\/h**(-2))\/h))\/(h**(2\/9))**(-48) assuming h is positive.\nAnswer: h**(173\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m + 3*m - 4*m + (-5 + m + 5)*(1 - 1 + 2) - m + 0*m + 2*m + 3*m - 2*m + m + (47 - 249 + 46)*(0*m + 0*m - 2*m).\nAnswer: 316*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 - (-1 + 2))*10. Let w = c - 81\/4. Is w less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 4, s: 6}. What is prob of picking 4 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5525599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1556 + -649. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*d + 3*d + 0*d - 7*d + 0*d - 3*d + (3 + 1 - 6)*(-5*d + 3*d + 4*d) + 0*d - 3*d + 5*d + (-3 + 0 + 4)*(14*d - 8*d + 6*d) - 2*d + 2*d - d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17134983 * 0.2.\nAnswer: 3426996.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -39.89319*-5\nAnswer: 199.46595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1287, -1287, -1291, -1299, -1311?\n\"Answer: -2*l**2 + 6*l - 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*s**4 - 44*s**3 + 16*s**2 + 116*s + 48 = 0. Calculate s.\nAnswer: -1, -1\/2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of -415*h**4\/12 - 7*h**3\/6 - 6477*h**2\/2 + 113*h + 41. What is the first derivative of r(w) wrt w?\nAnswer: -830*w - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-24)\/(-22))\/(-3))\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-38 - (46 - 46)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 341*i**2 + 348*i**2 + 339*i**2 - i - 1030*i**2 - 8*i**4 - 7*i - 3*i**3 to y*i**3 + b*i**2 + q*i + p + r*i**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1920 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 20127167 to the power of 1\/2, to the nearest integer?\nAnswer: 4486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110035.\nAnswer: 5, 59, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of q**6\/120 - q**5\/12 + q**4\/6 + q**3\/6 - 17*q**2. Let o(p) = -p**3 + 9*p**2 + 22*p + 4. Let z be o(11). What is g(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 688717?\nAnswer: 688717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.011846545 to 4 dps.\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 342\/81 + 4\/(-18). Let w be 32\/120 - y\/(-10). Put w, 9, 0.3 in ascending order.\nAnswer: 0.3, w, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 5*z - 12, 2*z + 3 - 5 = -3*i. What is the tens digit of i\/(3 - (-426)\/(-141))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o + 4. Let m(x) be the third derivative of x**4\/24 + x**3\/6 - 142*x**2. Calculate -3*m(y) + s(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 58014419 and 8488?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (3*sqrt(77)*3)\/sqrt(11).\nAnswer: -5 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 4*t**2 - 22*t - 43. Give j(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 292834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1686547\/110 - -15332. Find the common denominator of 111\/6980 and h.\nAnswer: 76780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3069 = -40409*c + 40418*c. Calculate the greatest common factor of c and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 5:58 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -766  (b) -0.2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -3  (b) -8\/9  (c) -49  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/248 and 79\/240188.\nAnswer: 480376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -2*z**3 - 63*z**2 + 9*z + 464. Determine v(-32).\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1899)\/(-2310) + (-3 - (-57)\/21). Let r = 2\/55 - w. What is the fourth biggest value in r, -7, 3, -3\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((32\/(-14))\/(((-28210)\/245)\/31)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -1\/135*d**6 + 1\/27*d**3 + 0 - 1\/45*d**5 + 1\/27*d**4 - 1\/9*d**2 + 2*d + 1\/189*d**7. Determine u, given that r(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 3\/8, 4, 5, 0.071, 5\/6.\nAnswer: -4, 0.071, 3\/8, 5\/6, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6280*y**3 - 5696*y.\nAnswer: -37680*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 3*p - 20, 0 = -3*a - 0*a + 3*p + 36. Suppose -a = 2*m - 18. Let z = 11 + -6. Solve z = l - m*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 279 and 142837677.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, 310, -5, -3\/5 in increasing order.\nAnswer: -5, -3\/5, 4\/5, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 1:15 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -38\/4243?\nAnswer: -38\/4243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*s - 59 = -49*s - 37*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide (-3)\/(-6)*6 - -32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-806104)\/(-318128) + (-2)\/59.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 29\/((-290)\/(-32)) + (-2)\/10. Let m = 6 + -8. Which is the nearest to m?  (a) -0.4  (b) w  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11100000011 (base 2) to base 13.\nAnswer: -a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4496 is divided by 126.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 943, 1896, 2849, 3802, 4755?\nAnswer: 5708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = 5*z + 31 - 15, -18*z + 54 = 2*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1488)\/(-128) + 0\/(-1) - 12.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8\/10)\/((-65)\/25 + 3). Find the third derivative of 4*r**5 + 7*r**2 - 3*r**u - 11*r**2 wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/2)\/((-6)\/24). Let m be (-20)\/90*-9 - v\/(-2). Let h be 6\/9 + (-17)\/3. Put h, m, 11 in descending order.\nAnswer: 11, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3624 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -31 + 8*v**3 + 31 + 0 + 0 - 2*v**3 + (2*v**2 + 3*v**2 - 3*v**2)*(3 + 2*v - 3) - 2*v**3 + 2*v**3 - v**3 + (-v**2 + 4*v**2 - 5*v**2)*(2*v - 3 + 3).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/((w**(4\/13)\/w)\/w))\/w*w*w**(-3\/4) assuming w is positive.\nAnswer: w**(101\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 - 2*d**2 - d - 4. Let k be g(3). Suppose 4 = 2*i + 2*i. Let z be 1 + 4 - (i + 0). Solve -5*p - z*x - 17 = -2*x, 0 = k*x - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1675, 1677, 1681, 1687, 1695, 1705, 1717?\n\"Answer: r**2 - r + 1675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4228 = -3*n - n. Let g = -723 + n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 42 + 102142023?\nAnswer: 102142120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - 3 - (-20)\/(-8)*-1. Sort -0.3, d, 5 in increasing order.\nAnswer: d, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 141\/80 + 9\/80. Let x = -1274\/17 + 959356\/12801. Let h = x - -47429\/3765. Calculate the common denominator of q and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = -3*k - 9, -m - 689*k + 692*k = -9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -38. Suppose -2*f - i = 2*f + 3*d, -3*f - 5*d = 31. What is the units digit of 4 + f + (0 - -47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6917001 meters in centimeters?\nAnswer: 69.17001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1261\/26)\/(2\/4). Let w = p - 89. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -259803\/13 + 19985. Let p = 0 + -0.2. Let m be 9*8\/30*10\/(-4). Which is the second smallest value?  (a) v  (b) p  (c) m  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 80570\/83917?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 631770 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -1. Let k = -2.7 - -0.7. Let s = k + c. What is the third smallest value in s, 0.5, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/8316 and -46\/18645.\nAnswer: 4698540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 6 = -3*g. What are the prime factors of (1 - -79)*g\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -15007709738 and 0.\nAnswer: -15007709738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 11.06349?\nAnswer: 44.25396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = -19*p + 52. Suppose t + 4*s = -4*t, -5*s = 4*t. Solve t*j = j + p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -246.525531 rounded to the nearest integer?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 4 = 3*w + w, 3*w - 2*n = -2. Suppose w = 3*d - 1021 + 91. What is the remainder when d is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 11 = -1, f + 114 = 2*m. Let o be (f\/26)\/(-4) - 1. Which is the third smallest value?  (a) -0.2  (b) 0.1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 1 + 79 + -75\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -15*((-12)\/(-9))\/1. Let s be 2\/(-4) - u\/8. Suppose s*a - 2 - 2 = 3*l, 0 = -3*a + 15. Solve -l = -0*x + 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 19\/467?\nAnswer: 19\/467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 2*u - 16, -3*k + 310 = -4*u + 287 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 590543683.\nAnswer: 11813, 49991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*z - 5 = 15*z. Solve 5*l - z*i - 10 = 0, -3*i - 1 = -5*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29647954?\nAnswer: 2, 7, 2117711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 811 times 269\nAnswer: 218159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, v: 2, c: 6, r: 3, a: 4}. Give prob of sequence rccr.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -1.6207\nAnswer: 1.6207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*d**3*q + 71*d**3 - 3735*d*q**2 - 19*d + 14 wrt q?\nAnswer: 9*d**3 - 7470*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -8 + m**2 + 6 - 3*m + 2*m + 3. Let x = 0 - -2. Suppose -v + 3*v = -x. Let c(k) = 4*k**2 - 3*k + 3. What is v*c(f) + 3*h(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 88272 and 1?\nAnswer: 88272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 364.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-45)*5 + (-658)\/126?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**9)**26)**(3\/26) assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(117) - (sqrt(130) - (sqrt(130) + 1*sqrt(130)))\/sqrt(10))**2*-4.\nAnswer: -3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -16*m + 123. What is v(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 times 2.3513?\nAnswer: 25.8643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/983 - 2965\/7864. Let h = -269 - -806\/3. What is the closest to -1\/4 in t, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -98\/17*f - 46\/17*f**2 - 50\/17 + 2\/17*f**3.\nAnswer: 2*(f - 25)*(f + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + 27 - (19 + 1 + (9 - 8))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.5 + -6.5. Which is the second biggest value?  (a) -0.4  (b) 0.05  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 536988 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 10 = 5*d. Suppose -d*y - 3*b + 147 = 0, 3*y - 3*b - 2*b = 95. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 13 - 3\/(-3)*-3. Let v = -9 + k. Let m = v + 17. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -115814 divided by -115814.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 7:56 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**5\/6 - 4874*m**4\/3 - 97555*m**3\/6 - 121975*m**2\/3.\nAnswer: m**2*(m - 9758)*(m + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 9*g**2 + 9*g + 6. What is the remainder when t(-10) is divided by 16\/3 - 14\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = o + 15, 0 = o + 3*c + 349 - 355 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-26)\/(-6) - 1)*(197 + -176 + 9192\/(-440))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5960144430 to the nearest integer?\nAnswer: 77202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -558 + 2245 - 567 - 553 + 0*o**2 + 3*o**2 - 567.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8173 - 7*b + b**2 + 4*b + 3*b - b**3.\nAnswer: -b**3 + b**2 + 8173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j**3 - 7*j**2 - 12*j - 4. Let i be v(-4). Suppose k + 58 = i. Solve 5*l = k*c + 2, 4*l + 4*c = -l - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -0*t - 120. Let h be 16\/40 - (-23)\/t. Let q = h - 13\/10. What is the second biggest value in q, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345\/138*(-15)\/780*5\/(100\/64)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-3) + 3\/18. Suppose -4*o = 2*g - 5*g + 1, -3*o + 13 = -5*g. Which is the closest to q?  (a) -1  (b) 0.3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**4 + 111*w**3 - 906*w**2 + 2688*w - 2592.\nAnswer: -3*(w - 27)*(w - 4)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 546123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -621 (base 10) to base 12\nAnswer: -439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1203 in 0.2, -3.4, -1\/3, 1\/3, 0.3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 AM and 12:45 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 - 0.4. Let q = -311 - -1247\/4. Which is the fourth smallest value?  (a) -0.4  (b) q  (c) 2  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*i - 6*i - 1596. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 3.1. Let k be (4\/(-66))\/((-2)\/(-6)). What is the closest to n in k, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -19*n**2 - 75 - 80 + 55 - 145*n - 31*n**2 - 5*n**3.\nAnswer: -5*(n + 1)*(n + 4)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -2 + (-1 - 4) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*k + 320 - 1902. Let q = 193 - k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 107*t - 416. Give l(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 24 = -3*m - 0*z, 4*m + z - 32 = 0. Let t(l) = 150*l - 136. What is the tens digit of t(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124*s + 273 = 412 + 481. Find z such that 0 - 22\/9*z**2 - 10\/9*z**s - 4\/9*z - 14\/3*z**3 - 34\/9*z**4 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15957550, -15957549, -15957548, -15957547, -15957546, -15957545?\nAnswer: -15957544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 27*u**2 - 44*u - 17. Let s(h) = -9*h**2 + 15*h + 6. Let l(c) = 6*i(c) + 17*s(c). Is l(6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11.23*-276\nAnswer: 3099.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 20.38 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 43 = 4*w + 2*s, -4*s + 6 = -2*w. Put -2, -15, w, 1 in increasing order.\nAnswer: -15, -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 144032.3 from -5347663.\nAnswer: -5491695.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i + 28. What is l(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -14) + -2 + -14 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 42 + 25 + k - 15 - k**2 + 8 - k**3. Let o be b(0). Let a be (-1)\/3 + 92\/o. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*t**2 - 43*t**2 + 6*t**2 + 8*t**2 as a*t + p + o*t**2 and give o.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*a**3*y**2 + 165114*a**3 + 129621*y**2 wrt y.\nAnswer: 4*a**3*y + 259242*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h + 13*h**3 + 0*h - 12*h**3. Let c(x) = -7*x**3 - 6*x. Let t(o) = -c(o) - 6*j(o). Let d(g) = 2*g**3. Give d(v) - 3*t(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -1)*-21 + 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1977*t**2\/7 - 2091664*t\/7 + 2116\/7.\nAnswer: -(t + 1058)*(1977*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22*n**4 - 3*n**3 - 185*n**2 - 101*n + 413 wrt n.\nAnswer: 264*n**2 - 18*n - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 2*x - 78, -4*x + 6 = v + 40. Let m = v + 183. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11938207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 18*q. Let h = 2711 - 2716. Let a(k) = -7*k. Give h*b(w) - 12*a(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.135, -0.0215, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1061.1477 + 582239?\nAnswer: 581177.8523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3581897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 399093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1863.6 * 0.1.\nAnswer: -186.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30166833 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 212715 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -9*u + 21. Let o(j) = 18*j - 45. Let h(c) = 11*l(c) + 5*o(c). Let s(b) = 6*b - 11 + 0*b + 11*b. Give 11*h(i) + 6*s(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5583, -11179, -16771, -22359, -27943, -33523?\n\"Answer: 2*d**2 - 5602*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1955841*a*g*m**3*v - 17*a*g*m**2*v + 2*a*g*m + a*g*v + a - 69*g*m**3*v + g*m**2*v - 86*g*m*v + g*m - 3*m**2 wrt m?\nAnswer: 11735046*a*g*v - 414*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 7, 3, 1063 in descending order.\nAnswer: 1063, 7, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 9, -1.11, 1173.\nAnswer: -1.11, 1\/3, 9, 1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, f: 4, n: 5}. What is prob of picking 2 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15 - (-3264)\/(-216)) + (-2)\/9. Let t = 0 - -1. Sort 0.2, t, k in decreasing order.\nAnswer: t, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**2 + 82*h**3 - 36*h**3 - 45*h**3 + 1 as y + g*h**3 + m*h + d*h**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2599 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: What is the common denominator of -16\/943 and -10?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4476603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8.247662l?\nAnswer: 8247.662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168*n + 3778 = -3661 - 2204 + 2251 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 - 6*g - 2. Suppose -5*w = -r - 95, -4*r - 43 = -4*w + 17. Suppose -7*m - 8 = w. Calculate x(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 420*f - 425*f - q, -9 = -f + 4*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3248*z + 893*z = -74255 + 5479 - 81944 for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s + 5. Let y(m) = 6*m + 5. Let v(x) = 12*x + 13. Let z(c) = 3*v(c) - 5*y(c). Determine 8*w(g) - 3*z(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/1 - -6 - 3. Let z(p) = 189*p**2 + 95*p + 19. Let a(s) = -95*s**2 - 48*s - 8. Let r(b) = q*a(b) + 2*z(b). Find the second derivative of r(k) wrt k.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55\/354 + 2\/177. Suppose x + 28 = 4*m, -3*x = -0*x + 5*m - 1. Let t = 11 + x. Which is the closest to -1?  (a) t  (b) s  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/18 + 284\/(-18). Is (636\/w*6 + 2)*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4345 is divided by 290?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.5  (b) -1\/5  (c) -0.3  (d) -2  (e) -54  (f) 2\/1717\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a - 4. Let b be -1 + (-2 - -2) + 5. Suppose -y = b*y. Determine m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6 - (-1012)\/12)\/(2\/78)?\nAnswer: 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 0. Let p = -11 - -9.8. Let d = p + h. Round d to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q = 42*q - 150. Solve -2*t + 8 = 3*v, q*v - 4 = 4*t + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - s + 20 = 3, -3*c + 16 = -4*s. What is the first derivative of 5 + c*a + 10*a + 12 wrt a?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + q + 16, 3*a - 11 - 3 = 2*q. Let b be -11*(1 + 0 + 0). Let p = b - -37. Let k(t) = -4*t - 17. Let g(r) = r + 4. Determine a*k(z) + p*g(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/(30\/33)*-6 and 2 + (-48)\/21 - 8.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from mqmmqmbprmrrbqbymrq?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2789, -2797, -2811, -2831?\nAnswer: -2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -256 - 268 + 293*h**3 - 265 + 790.\nAnswer: 293*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r**2 - 13*r - 4. Let m be g(-6). Let t(f) = 6*f**m - 8 - 7*f**2 + 6 + 2*f. Let v = -31 - -34. Give t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -0.253709?\nAnswer: 0.1268545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -825*p - 1. Let b(u) = -3*u. What is b(s(m))?\nAnswer: 2475*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = -8*b + 11*b. Let i = -19 - b. Suppose 5*n - 3*n - 174 = i. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2269 - 34569 - 57110 - 117722 = -3470*n for n.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -622*g = q - 626*g - 16, -2*q - g = 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 9\/5  (b) 0.04  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20798, 20787, 20774, 20759?\nAnswer: 20742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001115633 to six dps.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -2  (c) -8\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -501 by -3.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10025*o + 36711*o + 3720*o.\nAnswer: 50456*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8652 and 31003?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 521107339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m - 2*m = 140. Calculate the least common multiple of m and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.45 - 0.85. Which is the smallest value?  (a) q  (b) 4  (c) -1.4  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4*87\/(-580))\/((-5)\/((-110)\/3)) + 6. Determine f so that 8\/5 + 24\/5*f - 6\/5*f**3 - 34\/5*f**2 + s*f**4 = 0.\nAnswer: -2, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1806 - 1806. Let d(v) be the first derivative of r*v**2 - 11*v + 9 - 11\/3*v**3. Differentiate d(o) wrt o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -3 - (24\/24)\/((-3)\/8757)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 365927  (b) 30  (c) -1\/6  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f + 3*f - 3*f)*(-6*f - 2*f**2 - f + 3*f).\nAnswer: -6*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*f**3 + 71*f**3 - 24*f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 4*h - 1. Let a be x(-3). Let i be (2 + (-10)\/4)*a. Let k be 0\/(-2)*-1*i. Solve -b = -k - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37799448 is divided by 5662.\nAnswer: 5598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -78 + 34 - (-24 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = -4*g + 262. Suppose 0 = -5*m + 1032 + g. Let v = 357 - m. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 0*z + 3*z**2 + 2 + 0*z + z**3 - 3*z. What is the remainder when b(-3) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 168\/196*(-798)\/(-760)?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 457 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/22 - 37\/154. Which is the closest to q?  (a) 0.1  (b) -0.2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*p = 4. Let l be 5 + (-450)\/(-12)*-2. Let x be (4\/14)\/(50\/l). What is the third biggest value in 0.4, x, 4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -19 - 35?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2 - 2 + 2*s + 0 - 2. Let c be f(5). Let a(p) be the second derivative of p**4\/12 - p**3\/2 + 4*p. What is a(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1741*r**3 + 1590*r**2 - 1 - 4 + 8 - 1593*r**2 in the form l*r**2 + m*r**3 + c + p*r and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -7*d. Let k(a) = -10*a. Give k(h(o)).\nAnswer: 70*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/((-36)\/14) + (-6)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*c + 15 = -10*c. Solve 0*q - q = c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, w: 1, h: 6, s: 4, j: 1}. What is prob of sequence wjs?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -0.4603.\nAnswer: -0.18412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 3 - (-2 + (-6 - -10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 15 - (-3 + 5)\/(-2). Let d(u) = -9*u - 3. Suppose 0 = -2*j - 1 - 3. Let c be d(j). Solve 2*k + s = -3*r - 2*k, 5*r + c = 5*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*b**2 + 2119 - 704 - 705 - 710.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 37468 by -986.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*g + 43*g = -104 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of 278125*m**4\/3 - 4*m**2. Let x be c(4). What is x rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -182152730 rounded to the nearest one hundred thousand?\nAnswer: -182200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33 + -33. Suppose o = -0*b + 6*b - 306. Suppose -17 = -4*r + b. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1953832?\nAnswer: 2, 283, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1135, 4, -41, -3\/4, -1\/2, 2\/17?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12240 is divided by 159?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 29*y**3 - 6*y + 11. Let f be x(2). Find the common denominator of (9 - f\/25)\/(8\/310) and (1\/(-12))\/(3\/111).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -78 < -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 11*d - 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-4) - 15\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2. Let f(t) = -5*t**2 + 5*t - 4. Let q = 5 - 4. Let k(p) = q*f(p) - 4*n(p). Let j be k(4). What is the second smallest value in 0.4, -2\/11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g - 508 = 80. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 746161499 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/(-8) + (-2)\/(-8). Let w be 114\/27 + 2\/(-9). Let h be d\/(-2) - (-10)\/w. Solve 0 = -0*n + h*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 10*y**3 + 3204*y**2 - 3201*y - 2. Determine j(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5.91 at most -2585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g**2*y**4 + 183*g**2*y**2 - 76*g**2*y - 2*g*y - 187133105*y**5 + 93*y**2 wrt y.\nAnswer: -48*g**2*y - 11227986300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 18286164823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k**4 + 0*k**4 - 3*k**4)*((-1 - 2*k + 1)*(2 - 1 - 3) - 5*k + 3*k + 3*k + (-4 + 3 - 1)*(-3*k + 5*k - 3*k)).\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -95 + 99. Let d be 2*q\/(-32) + 2\/8. Which is bigger: d or -0.03?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -1. Let c(p) be the first derivative of p + 106. Let a(z) = z**2 + z + 2. Let w(o) = o - 2. Let f be w(1). Determine f*a(l) + k*c(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/1 - -1)*-1. Let c(a) = 2*a**k + 9*a**2 - a**3 - 9*a + 9 + 4*a**3. Let m(v) = 2*v**3 + 4*v**2 - 4*v + 4. What is -4*c(l) + 9*m(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 4:29 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 99 = -4*u, -4*a + 2*u = -0*u + 154. Let r = 85 + a. Calculate the highest common factor of 32 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 21 - (8 - (7 + -6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 243740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13 or -1.3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -909 + 908. Which is the closest to -2?  (a) -2\/251  (b) 1  (c) 0.1  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8900*v - 8895*v + w - 21, -2*w = -16*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (16\/10)\/(2\/10). Let i(q) = 13*q - 5. Let h be i(t). Calculate the highest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -122240335 + 4?\nAnswer: -122240331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gmg when three letters picked without replacement from {m: 3, g: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -26 + 6. Let t = -3 - v. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 3 = -o. Let r(j) = j + 177*j**2 - 352*j**2 + 171*j**2. What is r(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -290792165.045 + 9.\nAnswer: -290792156.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + 78. Let l = 98 - r. Let h = l + 18. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gggtgtgggtgtggggggtg. Give prob of sequence ggtg.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.4 - 5.4. Let k(s) = -14*s - 85. Let v be k(-6). Let n = v + -4. What is the nearest to 1\/3 in 2\/7, t, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + (-81)\/(-9))\/(-1*4\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g**2 + 3*g**2 - 4*g - g**2)*(6*g + 3*g - 5*g).\nAnswer: -12*g**3 - 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 PM and 8:45 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4014 + 4076. Put 2, 4, y in ascending order.\nAnswer: 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 + 13156*x + 1001832.\nAnswer: 4*(x + 78)*(x + 3211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 2*r + r = -252, 3*r - 12 = 0. Suppose 0 = 11*q - 12*q + 1. Factor 4 + i*u**2 + q + 15*u - 126*u**2 + 1.\nAnswer: 3*(u + 2)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 4 - 2)*(60 + 32 + 231)*(1 - 1 + r) as m*r + z and give m.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-4)*(396\/550)\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2 - 7398603*c + 14797218.\nAnswer: -3*(c - 2)*(c + 2466203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-299 + 299 + s**3)*(1 + 2 + 0)*(-19 + s + 19).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**1)**(-1\/13)*a**(-1\/7)*(a**(-6)*a)\/a assuming a is positive.\nAnswer: a**(-573\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 38654 and 7028?\nAnswer: 77308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 79 or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52131.46ug to tonnes.\nAnswer: 0.00000005213146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2848160108.\nAnswer: 2, 24821, 28687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 127618, 127612, 127602, 127588?\nAnswer: 127570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of -1\/30*y**6 + 0*y**2 + 4*y + 0*y**4 + 11\/3*y**3 + 0*y**5 + 0. What is the second derivative of n(j) wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.5, 0.4, 107.\nAnswer: -5, -0.5, 0.4, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 7. Let f(u) = u**3 + 9*u**2 - 1. Let z(p) = -p**3 - 8*p**2 + 1. Let t(k) = 2*f(k) + 3*z(k). Let v be t(w). Which is greater: v or 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hys when three letters picked without replacement from {h: 1, w: 1, m: 1, k: 4, s: 1, y: 5}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 3987891 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3355 - -5824. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 390 + -386. What is the greatest common factor of z and 572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h - 20*z + 16*z - 10, 0 = -3*h + 5*z + 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-i - 2*i + 2*i)*(-3 - 1 + 2) - 2*i - 8*i + 3*i + 3*i + 4*i + 0*i + (-3 + 4 - 3)*(5*i - i - 6*i))*(5*i + 0*i - 4*i)*(2*i - 4*i + 3*i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 8 + 3. Let s be (213\/20)\/((-27)\/(-984)). Let n = 388 - s. Which is the fourth biggest value?  (a) 2  (b) n  (c) f  (d) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 4:58 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -3*r - 24. Let a be d(-13). Factor b**4 + 10*b**2 + 18*b**3 + 2*b**3 - 352*b - a + 332*b + 4*b**4.\nAnswer: 5*(b - 1)*(b + 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -268401, -268419, -268447, -268485, -268533?\n\"Answer: -5*x**2 - 3*x - 268393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 10*n - 6. Let b be h(-9). Suppose -5*d = -t - 18, b*d = 2*t + t - 6. Let c = t - 4. Solve 4*y - 2 = c*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11 - -8) + 8)*(-1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1273166 (base 8) to base 13.\nAnswer: c6c4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-6)*s*s**(-3))**41)**36)**(-2) assuming s is positive.\nAnswer: s**23616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-150)\/(-325) - 47\/(-39))\/((-4)\/(-48))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 139 = 371. What is w rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*t - 3. Let k be (t - 7\/(-9)) + -2. Put -0.2, 0.02, k in decreasing order.\nAnswer: 0.02, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30232*y = -30254*y + 454916. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1540876 is divided by 193.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1384 - -1388.9. What is the fourth biggest value in j, 0, -4, 0.4, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1232 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21904 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27\/5 - -29\/5. Let o(x) be the first derivative of 2\/5*x**2 + 0*x + n*x**3 + 2 - 1\/5*x**4 - 6\/25*x**5. Suppose o(w) = 0. What is w?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 595933.\nAnswer: 13, 45841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 475736 (base 9) to base 7.\nAnswer: 2301615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86 = -9*m + 410. Calculate the least common multiple of m and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 632071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 7:36 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 235781?\nAnswer: 235777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 8*t + 20 - 3 - 16 - 12*t to b + n*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**(9\/2))\/m)\/(((m\/m**(26\/7)*m)\/m)\/m*m))\/((m*m**(-30)*m)\/(((m*m*(m\/((m\/m**(-8\/7))\/m))\/m)\/m*m)\/m)) assuming m is positive.\nAnswer: m**(365\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 356173 is divided by 2457?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + j. Let n(z) = -4*z**3 - z**2 + 2*z + 5. Let d = 12 + -9. Let l(o) = d*c(o) - n(o). Suppose 0 = -2*h - 8, 3*h - h + 8 = -5*q. What is l(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3969 times 1.4889\nAnswer: -0.59094441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 6585336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -107*k**2 + 24 + 7*k**3 - 52 + 107*k + 21*k = 0.\nAnswer: 2\/7, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 262*p + 2 = 831 + 1005 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -6 - -7) + -18 + (-6 - -5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 376356 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (-2)\/6*(-15)\/10 - 100880\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 16) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 319497 to the power of 1\/2, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113*s**2 + 162*s**2 - 52*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 6*d**2 - 3*d - 1. Give w(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -43.4?  (a) -6  (b) -2922  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 42123?\nAnswer: -1\/42123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 PM and 5:32 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2683 divided by 18.\nAnswer: -2683\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 + -13. Let g = -14 - -5. Let h = n - g. What is the second smallest value in -2, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 503868 and 600.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19421*l**3*v + 8*l**3 + l**2*v**2 + l**2 - 51*l wrt v.\nAnswer: 19421*l**3 + 2*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35540687?\nAnswer: 7, 13, 53, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8330 and 48608?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -42891 - -42889.99846. Let r = 3 + -2. Let u = h + r. Round u to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, 982, 9 in descending order.\nAnswer: 982, 9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 4 - 2 - 5*p - 1 - 2*p. Let a be t(-1). Calculate the highest common factor of a and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 632781.6 and 8612240?\nAnswer: 7979458.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122 = -10*w - 310 - 98 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 144\/45 - ((-832)\/78)\/(25\/270)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -534, -364, -144, 126?\n\"Answer: 25*a**2 + 95*a - 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 227128927.\nAnswer: 163, 1009, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 630 + -627. Let v = 0.3 + -8.3. Let n = v + i. Put 1\/4, 1\/6, n in descending order.\nAnswer: 1\/4, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11022 and 330?\nAnswer: 55110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2787 + 2967. Calculate the greatest common divisor of 972 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 + 12 - 10*j - j - j + j + (-244*j + 128*j + 131*j)*(-3 + 1 + 6) to the form f + w*j and give w.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -757 + -1?\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 8 = -f. Let n(k) = 3*k**2 + 6*k - 10. Let z be 4\/4 - 2*-1. Let b(m) = -1 + z + 5 - 2*m**2 - 4*m. Calculate f*b(y) - 5*n(y).\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(4\/9))**(-15)\/(n**(-2\/37)\/(n*n**(-4\/3)*n)))**(-2\/3) assuming n is positive.\nAnswer: n**(440\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 62085515, 124171030, 186256543, 248342054?\n\"Answer: -f**2 + 62085518*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, -10, -17, -22?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 AM and 2:22 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8292 - -8291.5291. What is q rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9 + -20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 + 40*f - 80.\nAnswer: -5*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -35, -114, -259, -488, -819, -1270?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 5*q + 6. Let v(h) = 9*h + 11. What is 11*p(y) - 6*v(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -131 + 130.7. Let s = -0.9 - 3.1. Which is the third biggest value?  (a) z  (b) s  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = 691*s - 707*s. Let t(y) = 4*y**2 - y. Let a be t(1). Solve 0 = -3*n - 4*m - 6, -2*n = s*n + a*m + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Calculate prob of picking 2 f and 2 x when four letters picked without replacement from xxccxfxccccfx.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*n**3 - 13*n**3 - 24*n**3)*(-1 + 1 + n)*(-2*n + 3*n - 3*n).\nAnswer: 34*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -33756 by 8439.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -4767*d**3 + 13*d**2 - 12*d - 248. Let h(u) = -4768*u**3 + 16*u**2 - 15*u - 244. Let n(w) = 5*a(w) - 4*h(w). Find the third derivative of n(m) wrt m.\nAnswer: -28578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 150 = -5*b. Suppose 0 = -2*w + 7*w - b. Solve w = q - 1, -3*s + 2*q = 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1210 - 11012122?\nAnswer: -11010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n**3 - 10*n. Let x(j) = 2*j**3 + 9*j. Let m(w) = -3*o(w) - 2*x(w). Find the second derivative of m(a) wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -59, -68, -81, -98?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2947608 to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -310*j + 24. Calculate the least common multiple of p(-1) and 16.\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/25 and (-8)\/(-28) - (-8570)\/2100?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.09, 5, -1\/102595?\nAnswer: -1\/102595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 91281 by 3292.\nAnswer: 91281\/3292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**3 + 3*m**3 + 2*m**3 - 13*m - 35*m**2 + 15*m + 10*m.\nAnswer: 3*m**3 - 35*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (111\/(-2))\/3*-2. Suppose 4*y - j - 51 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -70 + 108. What is the remainder when x is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iuuu when four letters picked without replacement from {b: 5, u: 1, z: 1, w: 1, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -160514 equal to -160511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15561)\/585*5\/(-7))\/(1\/(-4))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.05 - 0.55. What is the nearest to -1 in a, 1\/5, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 4*l = 200. Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 17616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2740299 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 + (-44)\/165?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13549838 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 + 0.1. Let l be -1 - (2 + -1) - 0. Let z be l*9\/24*4. Which is the third biggest value?  (a) z  (b) -2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*d + 10 + 175 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 29*f - 422. Calculate the remainder when q(39) is divided by 119.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 x when three letters picked without replacement from xxqxqqx.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69833.01 micrograms to grams.\nAnswer: 0.06983301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5*(0 - (-1 - 0)). Let g be (4\/(-2))\/(-2)*11. Suppose 4*c + v = 15, -g - 7 = -3*c - 3*v. Put c, s, -3 in decreasing order.\nAnswer: s, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3195.4 rounded to the nearest ten?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -9*r + 10. Let t be o(-4). Let f = t + -41. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-5.6.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6?  (a) -0.06  (b) 24959  (c) 3  (d) -1\/12  (e) 0.2  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 329 is divided by 69?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 5*m + 12 = 0, -3 - 1 = -4*v + 2*m. Suppose o - 60 = -v*o. Solve -5*h - 3*i = -0*h - 14, o = 5*h + 5*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 221011110021 (base 3) to base 12\nAnswer: 1ba78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -33723, -67941, -102159, -136377, -170595, -204813?\n\"Answer: -34218*v + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i - 108 = 36. What is the greatest common factor of i and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5459939593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w + 3\/8*w**3 + 21\/8*w**2 - 6.\nAnswer: 3*(w - 1)*(w + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 6) + (-67 - -79).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {e: 1, u: 1, v: 1, g: 1, z: 2, r: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15854, -31266, -45788, -58976, -70386, -79574?\nAnswer: -86096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 5*g**4 + 55*g**3 + 15*g**2 - 1015*g - 980 = 0.\nAnswer: -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -39275, -41656, -48111, -60674, -81379?\n\"Answer: -339*c**3 - 3*c**2 + c - 38934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 11. Let u be 56\/m + 2\/5. What is the second derivative of -9 + 4 + u*a + 14*a**2 + 5 wrt a?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 15*w**2 - 15*w + 6. Let v be a(-14). Suppose -2*c = 3*c - v. Suppose c*j - 48 = 100. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25137059 to the power of 1\/2, to the nearest integer?\nAnswer: 5014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + (126 + -36 - 113).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 216\/(-22) + (-16)\/88. Let k = -7 - j. Suppose -k*l + 11 = -49. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.14*2218053.\nAnswer: 310527.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 e when four letters picked without replacement from {t: 3, e: 3, w: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 49.5 or 2\/2718063?\nAnswer: 2\/2718063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -3*l + 227, 3*l + x - 34 = 198. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9563 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z - 2. Let o(g) = -g**3 - 5*g**2 - 2*g - 7. Let s be o(-5). Let i(v) = -5 - v - 4 + 5 + s. Give 8*i(q) - 5*r(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -149, -196, -275, -392, -553, -764, -1031?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5306714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 less than -0.899?\nAnswer: -0.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2 - -3.2. Let c = -3 - -2.8. Let a = -0.6 - c. Sort y, 2\/9, a in descending order.\nAnswer: y, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tgpq when four letters picked without replacement from {t: 2, p: 4, g: 2, h: 1, l: 4, q: 1}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together -21 and -411302237232.\nAnswer: -411302237253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4710084, -4710082, -4710080, -4710078, -4710076, -4710074?\nAnswer: -4710072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9176166 to the nearest integer?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**0)**(-2\/43)\/(((n*n*n*(n**(1\/4)\/n)\/n*n)\/n)\/n)**(-25))\/(n*n**(-6)*n*n**(-5)*n*(n*n*n*n\/(n**(1\/2)*n)*n)**39) assuming n is positive.\nAnswer: n**(-489\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 760930 is divided by 362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -92\/51995475 and 23\/231091.\nAnswer: 51995475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 6 = 2*m, 8*m + 21*a - 24 = 19*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -8 + ((-1)\/(-1) - -1). Let t = n - -8. Suppose 5*o = 2*w - w, 9 = t*w - o. Solve 0 = -w*u + 15, -4*q + u = -0*u - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -10*q**2 - 15*q + 5. Determine w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(539) + 0 - sqrt(539))*-3 + -6*sqrt(539)*2)**2 + 5*(1*sqrt(1100))**2 + -1.\nAnswer: 83115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + 50*d - 98. Let v be q(-52). Suppose 5*r = 2 - 47. Let j = r + 12. Solve j*o - 5*o = -v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*36\/(-150))\/(3\/5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24469 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -92 + 21. Let r = 68.32 + -3.02. Let z = r + b. What is z rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i**3 - 29*i**2 - 16*i - 28. Let f be s(-14). Solve -p + 16 = 4*p + 4*b, f = -p + 3*b - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 at most as big as 13542066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*u + 35*u - 96. Let m be (16\/u)\/((-12)\/(-18)). Solve -k = k - m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 274, 2323, 7968, 19033, 37342, 64719, 102988?\nAnswer: 153973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -586*v = -1514*v + 1856. Let q = -52 + 209\/4. Let w**3 - 3\/4*w**v - q*w**4 - w + 1 = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71, -354, -777, -1198, -1617, -2034, -2449?\nAnswer: -2862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (8060\/(-50) + -1)\/(2\/(-30))?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = p - 5*n, -3*p + 381 - 348 = -2*n. Solve -9*u = -p*u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 5*n - 22. Let f(c) = -c**3 - c**2 + 6*c + 4. Let v(t) = -t + 6. Let q be v(9). Calculate the remainder when f(q) is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 + 30*r**2 + 155*r + 72. Give p(34).\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*t**2 + 5*t**2 + 0*t**2)*(-404 + 0*t + 443 + 1893*t) as s*t**3 + j*t**2 + u + m*t and give s.\nAnswer: 1893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -5*g - 3*h - 8, 0 = 5*g + 2*h - 12. Let x = g + -32. What is the tens digit of 24\/x*(-16 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l**2 - 558*l + 884. What is x(138)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 469 + 177 = w - 2*z, -3*z = 4*w - 2551. Let a = w - 304. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 3*z**7\/7 + 23*z**3\/3 - 17. Find the third derivative of p(t) wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000067423105 rounded to seven dps?\nAnswer: 0.0000674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 180\/27*9\/4. Is (2 + 1332\/15)*g + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 30*d**3*f**2 + d*f**2 + 2*d*f - d + 1868*f**2 wrt d?\nAnswer: 90*d**2*f**2 + f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/12 and -17\/1932.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.1  (b) -23  (c) 0  (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -18) + -9 + (-6 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12 - ((-1600)\/(-90) - 6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + -2)*93\/(-93).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 7, -3\/4, 2\/19 in decreasing order.\nAnswer: 7, 5, 2\/19, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 53159 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.07 and 396287?\nAnswer: 396286.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 125247, 127141, 129035, 130929, 132823?\n\"Answer: 1894*d + 123353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = -x + 4*o - 9, 4*x - 2*o = -16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -216611298*c**3 - 132807196*c**2 - 27090168*c - 1838736.\nAnswer: -2*(9*c + 2)*(3469*c + 678)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/87 and 16\/21.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + v. Suppose 132 = 3*l - q, l + 3*q - 44 = -v*q. Let m = 49 - l. Solve -m*k + 20 = 0, 3*d - k - 5 = -0*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2 + 6206*p - 68024.\nAnswer: -2*(p - 3092)*(p - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 54 - -31. Let w = -81 + j. Suppose -31*i + w = -30*i. What is the greatest common divisor of i and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*b**2*g*m**2 - 407*b**2*m**3 - 2*b**2 - 43*b*g + 30*g*m**3 - g*m wrt m.\nAnswer: -2442*b**2 + 180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 + 234. What is the smallest common multiple of m(0) and 20?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-27)\/(-4) - (-2)\/8. Suppose x = 4*r - 3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*q - 5*q**2 - 15*q + (-4*q + q + 0*q)*(11*q - 180 + 180) + (-1 + 2*q + 1)*(2 + 2*q - 2) - 3*q**2 + 0*q**2 + 4*q**2.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 15, 2\/13, -2.7, 1, -7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 48*t - 114. Does 6 divide s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 143\/320 + -3\/64. Let j = 0.3 + -0.2. What is the closest to j in 1\/9, 3\/7, c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 297, 603, 917, 1239, 1569, 1907?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**3*q**3 + 2*l**3*q - l**3 + 264*l*q**4 - 6*l*q wrt q.\nAnswer: 12*l**3*q + 3168*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 6712 (base 9) to base 14\nAnswer: 1b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 100.790009 to zero decimal places.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(3 + (-48)\/15) - -897. Let d = n - 533. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 453851.642 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.07  (b) -128.3  (c) 5  (d) 2\/3  (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 4154325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 17105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -3\/2, 0.1, -3.5, 2051.6 in descending order.\nAnswer: 2051.6, 0.1, -2\/7, -3\/2, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of 19*b**7\/1260 + b**6\/720 + b**4\/3 - b. Let u(q) be the third derivative of l(q). Is u(1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - 9*t + 6. Determine x(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-19 + -2)*(56 + -55)*(-66)\/(-21)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1044389 = -1044531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 11 = -15. Which is the fourth smallest value?  (a) k  (b) 111  (c) 2  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -665*t**6 + 1022*t**2 wrt t.\nAnswer: -79800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/371 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-38)\/(-133) - 90\/21) + -31 - (25 - 21)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.609332 millilitres?\nAnswer: 0.000609332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6, e: 4, o: 3, r: 1}. Give prob of picking 1 r and 1 o.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*t - 145*t**3 - 2*t + 142*t**3 - 4*t - 11 as q*t**3 + s + u*t**2 + p*t and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*i + 750998 - 750998 + 10*i - 15*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 46*u**2. Let v(n) = 3*n**2 + 2. Let t(w) = -7*w**2 - 5. Suppose -4*x + 5 = -3*x. Let q(d) = x*v(d) + 2*t(d). Calculate q(r(z)).\nAnswer: 2116*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**3\/i*i*i**(-3\/5))\/(i**(-2\/13)*(i\/i**(2\/5))\/i*i))\/(((i\/((i\/i**(2\/3))\/i))\/i)\/((i*i**3\/i)\/i)*i**(-1)\/i**2) assuming i is positive.\nAnswer: i**(1226\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*n = -58*n + 84. What is the remainder when n is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -44.7 - -48.7. Let j = -1\/161 + 361\/6279. What is the closest to 2 in -1\/2, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2641568 take away 6706?\nAnswer: 2634862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25188900.\nAnswer: 2, 3, 5, 11, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m*(m**8\/m*m)\/m)\/m*m\/((m\/m**(-1\/3))\/m))\/(m*m**(-2)*m)**(15\/7))\/(m*m**(-4\/7)*m*m**(-5)*m*m**5\/(m**(-3\/8)*m)) assuming m is positive.\nAnswer: m**(1153\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-39) - (-2)\/(-13). Let y(m) = -6*m**2 - 2*m**2 - 6*m - 1 + f + 7*m**2. Determine y(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 151905*p = -151907*p + 108, 135 = 5*m + 3*p for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2887 - -2920. Let d(u) = 10*u**3 + 1. Let m be d(1). Let f = 20 - m. Calculate the remainder when c is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.2 - 1.2. What is the biggest value in -0.5, 2\/21, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, q: 1, h: 5, u: 1, x: 1}. What is prob of sequence uxhd?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/3 + 136\/6. Let t(f) = 2 + 25*f + f**2 + 27*f - 53*f. Let z be t(2). Solve z*w = r - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 6*a - 1. Suppose 0*q + 4*u + 680 = 3*q, 898 = 4*q - u. Suppose 16*v + 224 = -q. Let g = v + 24. What is y(g)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10\/853 - -32504\/7677. What is the common denominator of t and 61\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 136 and 674390?\nAnswer: 2697560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -157158 - 21?\nAnswer: -157179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 397.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 2*j + 20. Let r be l(6). Let d = r + -47. Let y = -12 - d. Put y, -5, -3 in descending order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + -110 + 6 + 46.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 768?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -0.1, 0.4, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 4536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24404595?\nAnswer: 3, 5, 31, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 17*q**2 + 16*q + 14. Let f be (-1 - 2)*(-192)\/36. What is s(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h**2 + h - 2. Let g(z) = -z**2 + 11*z + 22. Let t be g(12). Let l(n) = -n + t*n**2 - 5*n - 876 + 887. What is -11*a(w) - 2*l(w)?\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -393988293 or -393988292?\nAnswer: -393988293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/(-21) - (-35)\/3. Let l(c) = c**3 + 11*c**2 - 11*c + 12. Let p be l(-12). Suppose p = 5*j - 0*j - 25. Solve j*t - r + 37 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -69717*a + 69692*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*v**5 + 9\/4*v - 2*v**3 + 1\/2*v**2 - 3\/2*v**4 + 1.\nAnswer: -(v - 1)*(v + 1)**3*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20610 and -2?\nAnswer: 41220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 337\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 6*c + 1. What is the tens digit of m(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 2*i - 34 = -4*m, -5*i = -10. Let j be (-21)\/(-35) - (-954)\/m. What is the highest common factor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 693 is divided by 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 12 = -u - 2*u, 4*j = 0. Solve u*g = g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-6)*12\/38. Let k = 3 - -1. Suppose -5 = 4*w - 1. Which is the closest to 0?  (a) q  (b) k  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 0.58.\nAnswer: 0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 15*p**2 - 9*p - 7. Let j be r(-9). Let i = -412 - j. Factor -12\/7*u**3 - 2\/7*u + 8\/7*u**2 + i + 8\/7*u**4 - 2\/7*u**5.\nAnswer: -2*u*(u - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**5\/4 + 7*t**4 - 241*t**3\/4 + 215*t**2\/2 + 425*t + 250.\nAnswer: -(t - 10)**3*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4954 and -6.\nAnswer: -4960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/8)\/(27\/36)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*y**6 - 113589*y**5 - 43*y**2 + 133*y + 16?\nAnswer: -240*y**3 - 6815340*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -127*m**3 - 4*m**2 + 1 + 247*m**3 - 118*m**3 - m**4 to w*m**2 + f*m**4 + d*m + x*m**3 + v and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -9 - (0 - 44)) + -14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17072 - 17120 = 6*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 7, q: 1, m: 1, b: 4, z: 4}. What is prob of picking 1 l and 1 m?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-24)*x**(-17)*x**(6\/25)\/x*x*(x\/(x*x*x**(2\/29)*x))\/x assuming x is positive.\nAnswer: x**(-31776\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 973 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((48\/(-1404))\/(80\/48))\/(6\/(-15))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-22))\/((-93)\/(38874\/(-76))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 2*r - 50 = -5*a, 4*r - 89 = -5*a. Suppose a*t - 15 = 16*t. Let b(c) = 12*c - c**t - 13*c + c**2 + 0*c**2 - 2. Give b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 4.93. Let t be (2\/20)\/(4\/10). What is the second biggest value in t, k, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5*(2 + 1227\/15). Suppose v + s = 2*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 762.6036 months?\nAnswer: 63.5503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kskkksskss. What is prob of picking 2 k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 10*i**2 + 5*i - 67. Let d(k) = -3*k**2 - k + 1. What is 4*d(m) + f(m)?\nAnswer: -2*m**2 + m - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 8*p + 57. Calculate h(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-3\/35))\/(u*u*u**20*u) assuming u is positive.\nAnswer: u**(-773\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.6, -30, -4, 5 in descending order.\nAnswer: 5, 1.6, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7967601 + 190?\nAnswer: 7967791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38317647 divided by 78681.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 934583 by -25259.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7006 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-8)*(d\/(d*d**9*d))\/d*d**0\/d**(-13) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -337 and 212.25.\nAnswer: -71528.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 432*d**2. Let p(u) = 123*u - 225*u + 119*u. What is p(o(y))?\nAnswer: 7344*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/2  (b) -0.24  (c) -0.07  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2724, -2732, -2742, -2754, -2768?\nAnswer: -2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43.2 - 63.8. Let n = s - -106.999878. Round n to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h**3 - 4725 + 4725 + 3*h**4 + h**2 + 4*h in the form m + r*h + z*h**4 + g*h**3 + p*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 5*w**3 + 5*w**2. Let m(r) = -2*r**2 - r. Let q(n) = -6*m(n) - 2*s(n). Let o(g) = g. Calculate 6*o(z) - q(z).\nAnswer: 10*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -130 and 137.\nAnswer: -17810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 52016257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10\/3 + -3)*78. Suppose 3*y - u = 5*w - 0*w, 4*w + 24 = 4*y. Calculate the smallest common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*s + 795 - 495 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 319253, 319264, 319275, 319286, 319297?\n\"Answer: 11*b + 319242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*o - 9 = 32*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 51 - -33. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + -2)*(-24 - 0). Suppose 5*k - y = 6. Suppose k*h - 317 = 133. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 5\/9, -0.3, -2\/35, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4309*q + 38796. Give o(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/14)\/((-40)\/28)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 391613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -31 + 14 + 18 + (-1 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.01 in 1, -4, 155\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*c = 129, 0 = -2*t + 8*c - 3*c + 51. Suppose -2*b - t = -4*p, -2*p + 0*b = 5*b + 11. Calculate the highest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6, 36, 84, 150, 234?\n\"Answer: 9*u**2 + 3*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**3 + 0*k**3 - k**3 + (-2 + 0 - 1)*(3*k**2 - 3*k**2 - 3*k - 2*k**3) in the form h*k**2 + s + i*k + v*k**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*q**4 + 2*q**2 + 0 + 0*q**4 + 2*q**3 + 2 + 4*q**4 to the form f*q**4 + t + m*q**3 + z*q + k*q**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 plus -1026212?\nAnswer: -1026190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7902 = 4*z - 0*z - 22*z. Sort z, -2, -5 in descending order.\nAnswer: -2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/5)\/(c\/((c\/c**(-1\/5))\/c)))\/(c*c*c**(-4)\/c*c\/c**(2\/19)) assuming c is positive.\nAnswer: c**(67\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4336*i + 35*i**2 + 10*i**2 + 4336*i - 3 - 9 + 11*i**2.\nAnswer: 56*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -257\/136229 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 2256004.\nAnswer: 2256004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 9*i + 8*i - 38*i + 13*i + i**2 + 9*i. Let u(z) = -18*z**2 - z - 2. Calculate -3*j(d) - u(d).\nAnswer: 15*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 222448.4 - 222448. Let v = 5\/8 - 7\/24. What is the smallest value in v, w, -3, -1\/60?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-16)\/4 + 13 + -2 - -1. Let h = 34 + -22. What is the greatest common factor of h and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 4 = 4*u, i = 2*u - 5*u + 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {e: 1, i: 5, r: 1, g: 2, h: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**3*v)**(-3\/8)\/(v**2\/(v\/(v\/v**(1\/8)))) assuming v is positive.\nAnswer: v**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - -1. Let c be (2\/4 + 1)*d. Suppose -2*v + c = -v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1349, 2694, 4039, 5384, 6729, 8074?\n\"Answer: 1345*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 3\/7, -10143, -2\/3?\nAnswer: -10143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m**2 + 34*m - 21. Calculate u(15).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4098*r + 4087*r + 53680 = 0. What are the prime factors of r?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 3*z - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2087851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -4400*q. Let y(k) = -83*k. Let j(u) = 3*a(u) - 160*y(u). Let l(c) be the first derivative of c**2 - 888. Determine l(j(p)).\nAnswer: 160*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -29*(2 - (1 + 3)). Suppose -5*x = -4*s + 297, -2*x + z = 2*s - s. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 584 is divided by 108?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -40725 or -40728?\nAnswer: -40725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*h + 0*h + 5*h)*(4*h + 2*h - 3*h) - 133 + 133 + 9*h**2)*(-2*h - 6 + 6).\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 7*o + 102. Let l be w(-14). Suppose c + 2 = 3. Calculate the greatest common divisor of l and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2 + 2*k)*(3*k - 3*k + k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1207843410*k**3 - 301005789?\nAnswer: -3623530230*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**5 + 2081*s**4 + 4668*s**3 + 3109*s**2 + 518*s = 0. Calculate s.\nAnswer: -518, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000075051 rounded to six dps?\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.38274 days in nanoseconds?\nAnswer: 7463468736000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/9)*b\/b**(-4\/11))\/(b**(-1\/10)\/b**2) assuming b is positive.\nAnswer: b**(3319\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 13) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.30959 tonnes to grams.\nAnswer: 9309590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 10:02 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4065 + 30092. What are the prime factors of x?\nAnswer: 34157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000138572 rounded to 7 dps?\nAnswer: -0.0001386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (205*d**2 - 335*d**2 - 325*d**2)*(-3*d**2 + 5*d**2 + 0*d**2) to the form j*d**4 + v + p*d + i*d**2 + l*d**3 and give j.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 1588*l**2 - 30*l - 74. Let g(b) = 529*b**2 - 11*b - 27. What is 8*g(z) - 3*k(z)?\nAnswer: -532*z**2 + 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -752, -3037, -6852, -12197?\nAnswer: -19072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 + 20*n + 15. Give p(15).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 - t - 40. Let z be q(0). Let l = 11 - 15. Let j be l\/(-10) - (-16)\/z. Solve w + w + 8 = j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c**17*c))\/c)**(2\/3)*(c\/(c*c**(-14)*c))\/c**(-30) assuming c is positive.\nAnswer: c**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 2*x - 10 = 2*z, 2*z = -4*x. Let k = 4.4 + -4.8. Which is the nearest to 2\/5?  (a) z  (b) k  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uigso. Give prob of picking 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 210, 1722, 5824, 13812, 26982, 46630, 74052, 110544?\n\"Answer: 216*w**3 - w**2 + 3*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -179\/56640 and 31\/28320.\nAnswer: 56640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/6 and (-195)\/(-351)*15\/(-13).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11\/5?  (a) 0.4  (b) 5  (c) -736\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -k - 4*k + 68283. Round k to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, -1, -8176 in descending order.\nAnswer: 0, -1, -2, -8176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5516 = -5*u - s + 13206, -3*u + s = -11238. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 5, -10 = -f + 6*z - z. Suppose 5*c + f*k - 60 = 0, 5*c + 2*k - 43 - 17 = 0. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2 + w**2 - 2*w + w - 2*w**2. Let u be c(0). Let a = 69 + u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 8:33 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4 = -0*r. Suppose -14 = -2*v - 4*o, 4*v + 2*o + 2*o = 20. Suppose 11 - 29 = r*q + v*j, -16 = 4*j. Is q <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + 5 + -4 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 PM and 8:32 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {h: 1, y: 4, l: 1, c: 3, e: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 1:04 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 2*i + 2 = 0, 7*l - 1 = -5*i + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -957 + 957.1. Sort 3\/2, 1.73, m in descending order.\nAnswer: 1.73, 3\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(5*v - 24*v - 8*v).\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 229848300 a multiple of 3270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29, 110, 267, 518, 881, 1374?\nAnswer: 2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 8 + 2. Suppose y*x + 47 = b + 189, 6 = 2*b. Suppose 0 = 2*v + 20 - 36. Calculate the remainder when x is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23816, 23819, 23832, 23861, 23912, 23991, 24104?\nAnswer: 24257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 0.1  (b) 8994.22  (c) 6  (d) 1\/2  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*b + 22*b + 80. Let r = 4 + 1. Solve -b = -r*f - 2*j - 0*j, -4*j + 8 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j = 11 - 27. Let u be j\/(-18) - (-1108790)\/90. Suppose -o - f = -5*f + 6166, 0 = -2*o + 5*f - u. Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 56*x. Let g(m) = 6*m**2. Calculate g(u(l)).\nAnswer: 18816*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h**3 - 64*h**2 + 18*h - 34. Calculate the smallest common multiple of p(-15) and 11.\nAnswer: 23881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 + 9 - 7)*(4*q - 2*q - q)*(4*q - 7*q - 13*q) in the form i*q**2 + o + t*q and give i.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, t: 3, s: 3}. What is prob of sequence tstt?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/740, 2\/51, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/10 - 213*y\/10 - 106\/5.\nAnswer: -(y + 1)*(y + 212)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/11)*y**(-1\/3)\/y*y)\/(((y\/y**(-1\/6))\/y)\/y)**41 assuming y is positive.\nAnswer: y**(2239\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3*a**2. Let v(r) = 1. Let t(w) = -21 - 2*w + 13 + 14 + 4. Let x(c) = -t(c) + 10*v(c). Give x(m(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y**4 + 2*y + 5*y**2 + 2*y**3 - 4*y**2 + 26 + 2*y**4 - 25 + 0*y in the form l*y**3 + n*y + b*y**2 + x*y**4 + j and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 AM and 4:51 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72334?\nAnswer: 2, 59, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/17082 and -47\/127166.\nAnswer: 1144494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128294 = 19*j + 27*j. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 15 = 0, -488*h = -491*h + 5*g + 102. Let m = 31 + -18. What is the remainder when h is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 13)*1 + 81060\/6300. Which is the nearest to 0.6?  (a) -5  (b) 0.3  (c) 4.9  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70758654?\nAnswer: 2, 3, 1367, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 892644 less than -3?\nAnswer: -892647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(((-20)\/22)\/(-5)). Let q = -17 - b. What is the smallest common multiple of q and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2938845107 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 14*n - 13*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/18 + -27*(-220)\/5346 - -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 - 16. Suppose -7*v + 30 = d*v. Suppose 4*s = 4, v*p - 50 = -5*s + 780. List the prime factors of p.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-114)\/19*1)\/((-20)\/4)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -105*s - 8. Let w be v(-2). Suppose -w + 34 = -m. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -753 (base 13) in base 7?\nAnswer: -3435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from deelddeemedddleed.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3568249?\nAnswer: 17, 431, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -634, -620, -590, -538, -458, -344, -190, 10?\n\"Answer: g**3 + 2*g**2 + g - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 952 - 95199\/100. Let n(j) be the second derivative of 1\/5*j**2 - 1\/10*j**3 + 1\/50*j**6 + 0 - d*j**5 - 5*j - 3\/20*j**4. Factor n(m).\nAnswer: (m - 2)*(m + 1)**2*(3*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 10*c + 12. Let a(b) = 25 + 77*b - 11 - 65*b. Let i(d) = 6*a(d) - 7*l(d). Let s(r) = 60*r. Determine i(s(m)).\nAnswer: 120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -7*t**3 - 6*t - 6. Let n(r) = -r**3 - r - 1. Let s = 89 - 88. Give s*c(k) - 6*n(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -q - o, -8*o - 90 = -3*q - 252 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + -15 + 7 + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2424988 - 0\nAnswer: -2424988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 2*n**4\/3 + 80*n**3\/3 - 446*n**2\/3 + 196*n\/3 + 240 = 0.\nAnswer: -45, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-74*j**2 + 86*j**2 + 28*j**2)*(1 + 2*j**2 - 1) + j**4 - 2*j**4 - j**4 to the form y*j + l*j**3 + p + b*j**2 + r*j**4 and give r.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 13 - 7 = 0. Is (3 + -329)\/(c\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 7. Suppose 5*s - 7*s = -m - 275, -s = -3*m - 845. Let k = m + 292. Calculate the remainder when k is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jju when three letters picked without replacement from {l: 1, j: 4, u: 2, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + 5. Suppose -5*b = -4*c - 25, 0 = -4*b - 0*c + 5*c + 20. Suppose -8 + 6 = -b*q + 3*f, -2 = -3*q + f. Solve -m = -3*z - q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 677*s + 8137 = -43582 + 6360 for s.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1503 - -1304?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v - 6*v - v - 3*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 3*h + 2. Suppose h*y + 20 = 7*y. Suppose 2*u + j = 579, u + y*j - 881 = -2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 440 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 10 = c, 4*z = -c + 61 - 16. Suppose c = 18*t - 13*t. Let t*m - 10*m**2 - 3*m + 14*m**2 + 8 + 10*m = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.112332 rounded to three dps?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -3. Let b be -4*(1 + -2)*v. Calculate the highest common divisor of 88 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 76 = 6*t - 5*t, 2*l - t - 80 = 0. Solve 3*o = 4*f + 15 - l, -4*f = -o - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -o, 2*o + 0*o = -5*p + 25. Suppose -y - 10 = -p*y. Let a = y - -8. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4836 + -794?\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 67*m**2 - 5*m + 282. Determine w(67).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4083 - -7153. List the prime factors of r.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 234702.\nAnswer: 2, 3, 13, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t + 0*t + 2*t)*(0 + 0 - t) - 2 + 2 + 2*t**2 + (3*t - 3*t - 2*t)*(-4*t + t + t) + (-3*t**2 + 3*t**2 + 2*t**2)*(-15 + 113 + 33).\nAnswer: 269*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7043416 at most 28173659\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 35\/11 + 2\/(-11). Let o = 12 - 8. Suppose 4*j - 16 = o. Solve -3 = 3*k + b + t*b, j*b + 30 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 + 18 + 56 + -72.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + m - 156 = -2*m, m = -4*t + 164. Let c = t - 20. Let d = c - 11. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 770473*v**2 - 1223939*v wrt v?\nAnswer: 1540946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q = -23*q + 77. Let h = q - 13. Let l(v) = v**2 + 10*v - 7. Let m(b) = -b**2 - 9*b + 6. Let j(k) = -3*l(k) - 4*m(k). What is j(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15308 is divided by 236.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -2*t + 6. Let g be ((-6)\/t)\/(1\/442*-3). Suppose -4*u + 831 = -5*q, 3*u - g - 220 = -4*q. What are the prime factors of u?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 8.49  (c) 1.4  (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 2351 = -3*o, -o - 118 + 1054 = 2*z. List the prime factors of z.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 PM and 3:00 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142*k = -138*k - 4844. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -15 + (396\/18 - 2). What is the nearest to -2 in 10\/3, c, 36?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 764 = 2*g, p - 2*g - 1528 = -3*p. Let o = p - 302. What is the highest common factor of 140 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 414*z + 1424 + 221 = -839. Let v be (0 - (-2)\/(-4))\/2. What is the nearest to 0.1 in z, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*p = 52*p - 12. Suppose 2*y + 3*b - 3 = 4*y, y = -4*b + 4. Solve -w - 29 = -4*m + p*w, 4*m - 3*w - 19 = y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + 158 + 40. Suppose 2 + 25 = 3*x. What is the remainder when v is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 2:50 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 620676*y**6 + 87*y**3 + 12*y**2 + 164215*y + 24?\nAnswer: 74481120*y**3 + 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7070 is divided by 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 3*i**2 + 12*i**2 - 3*i**4 - 4*i**2 + 2*i**3 - 4*i**2 as d*i + y + k*i**4 + l*i**3 + z*i**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 941027981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*30\/5472*-19?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x**5 + 204*x**4\/7 + 33807*x**3\/7 + 228378*x**2\/7 + 8928*x = 0. What is x?\nAnswer: -31, -7, -2\/7, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by -135.\nAnswer: 11\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 4\/7*w**2 - 32*w + 448 = 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2968287.\nAnswer: 3, 7, 107, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13088 and 34032.\nAnswer: 27838176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -50*s - 74. Give d(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1195022 to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 351963 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2308)\/18)\/1 + 8\/36. Let c = a + 123. Let i(d) = -2*d - 5. Calculate i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5463820*j**3 + 29*j**2 - 21*j + 1708?\nAnswer: 32782920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, b: 2, o: 7}. Give prob of picking 2 o and 1 g.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes after 4:39 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -3.2?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 15802 divided by 13?\nAnswer: 15802\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -6 - -7 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/1760 and 27\/352?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9372 and 6.\nAnswer: 9372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.64 - -0.14. Let k = 8.4 + -8. Let f = l + k. Which is the closest to f?  (a) 1  (b) -1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 4*h = -20, 2*h = 2*x - 48 + 16. Let j = -4 + 11. Let b = j - x. Let u(d) = d + 1. Calculate u(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 5 + 13. Let z(x) = -2*x - 2. Let k(g) = 25*g - 50. Let h(f) = -k(f) + 2*z(f). What is the remainder when h(1) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*b*b\/(b\/(b\/(b\/b**(-6\/5)))))\/b)\/((b**2*b)\/b))**37 assuming b is positive.\nAnswer: b**(-222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 - 18*k**2 - 92*k - 93. What is o(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188079059.\nAnswer: 7, 179, 367, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-6*(sqrt(396) + (sqrt(396)*-2)**2) + -4 + (sqrt(396) - -1*sqrt(396))**2)*-4)*3*-3.\nAnswer: -285219 - 1296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23113, -23110, -23105, -23098, -23089?\nAnswer: -23078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -647 - -649. Solve 22 = -r*v + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 - 21*y - 52. What is k(-28)?\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 36666 or 36670?\nAnswer: 36670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/(-6)*(-1380)\/(-118910)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 521 and -14779566?\nAnswer: 14780087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4807338 and -142.7?\nAnswer: 4807480.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*p - 29 + 1. Suppose -107 = -2*a - 3*w, -p*a + 75 = 5*w - 30. Suppose -4*h - 113 - a = -4*q, 5*q = -3*h - 86. Is -37 not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96276 and 6554?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12 + 21*s**3 - 17*s**3 - 11*s**3 wrt s.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/2376 and -127\/340.\nAnswer: 201960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 5:53 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 + 37 = 6*y. Let c(d) = 13 + d**2 + 135 + y - d. Calculate the remainder when c(0) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*s**5 - 15056*s**4 + 13*s**3 + 447*s**2 - 5029*s wrt s?\nAnswer: -420*s**2 - 361344*s + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -7*b - 33. Calculate m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from {y: 5, x: 2, z: 1, a: 2, d: 2, u: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (84 - 42) + -38?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 9:14 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5 = 2. Suppose 8*v = g*v + 60. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -2, -5, -2\/21 in decreasing order.\nAnswer: 0.1, -2\/21, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 772 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 5*y**5 + 50*y**4 + 165*y**3 + 200*y**2 + 80*y = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 3c?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10895 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130*w + 31*w - 14016 = 1108*w - 60419 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 524 by -4.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 57*t - 57*t - 2*t**2 - 10*t**6 wrt t.\nAnswer: -1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 3:58 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 21 = 51. Suppose -5*v + 3*v = -l. Suppose -v*y + 12 = -18. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 52, 126, 176, 202, 204, 182?\n\"Answer: -12*i**2 + 110*i - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 222255760?\nAnswer: 2, 5, 2778197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/55*4\/(4\/(-1)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -254 = -2*s - 5*q, 14823*s - 14830*s - 136 = -3*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence evsv when four letters picked without replacement from {v: 3, e: 3, s: 7}.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 175*z - 67. What is the units digit of x(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -141 - (-641 + 622)) + (2 - -4)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 11  (b) 7.43  (c) -35\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24724163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 508 and 78.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 240466873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 9 = 2*o + r, 5*r = -2*o + 41. Suppose -b + o = 3*b, 4*b = -2*l + 22. Suppose 5*y + 3*q = 31, -4*y + 21 = -3*q + l. Solve -x = -y*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 9*y = -24. Let n(u) = 2*u**2 - 2*u. Let z(h) = h**2 - h. Calculate y*z(o) + 5*n(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/(-2) + (2 + 1 - 6). What is the units digit of (v\/5)\/(1\/345)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 115 - 114. Let j = -2 - -4. Factor 1 - 4*t - w + 18*t - 4*t**j - 14*t**3 + 4.\nAnswer: -2*(t - 1)*(t + 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -5893, -11784, -17675, -23566, -29457, -35348?\n\"Answer: -5891*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oro when three letters picked without replacement from {r: 3, s: 2, x: 9, o: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*s**2 + 189*s**2 - 240*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 3*o + 4*f - 9, 2*f = 4*o - 2. Let x be ((-7 + -2)*o)\/(-1). Suppose -5*s - x = -88. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -129 - -134. What is the units digit of 1119 - (6 + (4 - d))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 - 8*k**2 + 7*k + 2. Let h be w(7). Solve 6 = n + h*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of 3*l**5\/10 + 323*l**4\/9 - 16*l**3 - 7036*l. Factor w(x).\nAnswer: 2*x*(x + 72)*(9*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1\/4))**49)**(-4\/17)*(r**(2\/7)*r)**13*((r*r**(-2\/3)*r)\/r)**(-38) assuming r is positive.\nAnswer: r**(2474\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 - -72419\nAnswer: 72419.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 58525852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 16*w - 9)*(0*w**2 + 2*w**2 - 4*w**2)*(83 + 116 - 62)*(w - 2*w + 0*w).\nAnswer: -4384*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/b**(2\/7))\/b*b)\/b*b*b)\/b*b**(-5)*(b\/(b**3\/b))**21 assuming b is positive.\nAnswer: b**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**3 + 60*d**2 - 296*d + 55. What is o(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2\/35 - -31\/70. Let p = -2 + 1.6. What is the closest to q in p, 2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/11)\/(a*a\/(a*a\/(a**(1\/11)*a))*a*a))\/(a**3\/(a\/a**8)))**(-5\/7) assuming a is positive.\nAnswer: a**(710\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1226546279 divided by -217\nAnswer: 5652287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 472477, 472470, 472445, 472396, 472317, 472202, 472045?\n\"Answer: -b**3 - 3*b**2 + 9*b + 472472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 135 - 21. Let t(d) = 36*d - 24*d**2 + 41*d - q*d + 37*d. Let f(c) = 0*c + 2*c**2 + 0*c. Determine f(t(m)).\nAnswer: 1152*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of -h**6\/480 + h**5\/48 + 17*h**4\/96 - 7*h**3\/8 - h**2 - 1. Factor f(i).\nAnswer: -(i - 7)*(i - 1)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20851 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1946158?\nAnswer: 2, 557, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 110 and 3465?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9*36\/162*1. Let v(i) be the second derivative of 0 - 27*i - 1\/2*i**b + 1\/6*i**3. Let u(h) = -2. Determine 2*u(w) - 2*v(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -190 - -179.1. Let o = -11 - x. What is the fourth smallest value in -3, o, 2\/9, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 2*c)*(-1 + 1 + 5)*(2 - 3 + 0)*(-3*c - 3*c**3 + 3*c).\nAnswer: -30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9 + -3 + 9*4. What is the second derivative of 0*i + i + y*i**4 - 15 + 30 wrt i?\nAnswer: 504*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12307 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 2)*(2*t + 2*t - 5*t)*(5*t - 8*t - 6*t).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3669338*4.8\nAnswer: -17612822.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -4*o + 17. Let l(w) = 7*w - 33. Let a(g) = 5*d(g) + 3*l(g). Let z(m) be the third derivative of -m**3\/3 - 181*m**2. What is 2*a(i) - 14*z(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**(-6)\/b))\/(b*(b\/((b\/(b\/((b\/(b**2*b))\/b))*b)\/b))\/b) assuming b is positive.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -74995, -150043, -225091?\n\"Answer: -75048*o + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3925\/7 - 561. Which is the closest to 1\/7?  (a) -1  (b) 0.3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*(((-30)\/9)\/(-1) + -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1200 and 480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1021326845?\nAnswer: 5, 7, 11, 23, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**5*(((a*a*(a\/a**(-7))\/a)\/a)\/a)\/a)\/(a*a**(1\/3)\/a)**(1\/32))**(-5\/4) assuming a is positive.\nAnswer: a**(-5275\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 - 8*n**2 - 21*n - 15. Let u be j(-14). Let i = -2048 + u. Let r = -402 - i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 17, -1048 in ascending order.\nAnswer: -1048, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-5)*(-2)\/(-6)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*m**3 + 1936 - 32450*m**2 + 32493*m**2 + 2*m**3 wrt m?\nAnswer: 24*m**2 + 86*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 2. Let x = 6 + -10. Which is the second biggest value?  (a) x  (b) n  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.01 - -0.59. Let v = f + -0.5. Which is the second smallest value?  (a) v  (b) 1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + (-3 + 2)*1. Suppose 4*x + 3*a - 7 = s*x, 2*x - 4*a - 14 = 0. Suppose -7 = -4*m - 5*h, 3*m - x*h - 44 = -h. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5*u = 153. Suppose j = -2*t + 17 + u, 0 = 4*t + 3*j - 134. Let l = 57 - t. Which is smaller: l or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-23)\/(-23))\/(1\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*3\/(-132))\/((-8)\/768*-12)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 69792 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 492, 3835, 12916, 30603, 59764, 103267?\nAnswer: 163980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (13 + -2)\/(1\/5). Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 5*u + 5 = -11, 0 = -2*j - 2*u - 16. Let v = j - -7. Put 0.3, -0.3, v in descending order.\nAnswer: 0.3, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1416875626 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91, 87, 79, 67, 51, 31, 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10074 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 13*a + 210. Does 6 divide z(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -80503, -160964, -241425, -321886, -402347, -482808?\n\"Answer: -80461*c - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 112588724 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 5 + 2)*(3*q - 14*q - 6*q).\nAnswer: -238*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {w: 4, y: 3, f: 1, p: 2, j: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432)*4 + -1 + 5 + sqrt(432) + sqrt(432) + (0 + sqrt(432) - sqrt(432)) + 0 + -1 + -1 + sqrt(432))**2.\nAnswer: 336*sqrt(3) + 21172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001854 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 - (720\/(-36) - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - (-3)\/(-5))*-110. Let v = -14 - u. Let b be (4\/3)\/((-3)\/(-27)). What is the highest common factor of b and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 75\/105 - 2\/(-7). Let p(i) = -10*i**2 - 6*i + 5. Let o(n) = 2*n + 4*n + n - 6 + 11*n**2. Let v(r) = 4*o(r) + 5*p(r). Calculate v(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4975 and 4550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -4 - 1 - 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**2 - 7*l + 8. Let b be d(4). List the prime factors of 13\/(b\/(-288)) + -4.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/2 of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -5*o**2. Let k(f) be the third derivative of -23*f**5\/60 + 355*f**2. Give k(n(x)).\nAnswer: -575*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 - 15*d - 30. Let s be i(-13). Let j be -5 - s - 15\/(-13). Let m = -89 - -93. What is the biggest value in m, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.105, -1, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 515693261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/59 in 3, -2, -0.459, -3\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the second derivative of 2*z**2 + 1\/12*z**4 + 0 + 4*z + 5\/6*z**3. Let f be p(-5). Solve s + f*k = 3, k - 2 - 1 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 247 (base 11) to base 15.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 0 + (0 - (-1 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -6. Solve l*g - 2*o = -17, -3*g - 1 = -6*g + 4*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.7195656 less than 7?\nAnswer: 10.7195656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 AM and 7:36 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of 0 + 0*g**3 - 1\/12*g**4 + 0*g - 8*g**2. Let z(a) = -2*a - 14. Calculate u(z(j)).\nAnswer: 4*j + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 684 = -6905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*c + 2300 + 4763, 3*c - 7049 = -2*n. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bgaeeease. What is prob of sequence ga?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38860 is divided by 38848.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -379*d**3 + 195*d**3 + 18*d**3 + 152*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 3*o**2 - 2. Suppose 6*q + 20 = 2*q. Let m(v) = 7*v**2 - 5. Give q*a(w) + 2*m(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/87 and -19\/319.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*p - 5*o + 23, 11*o - 58 = -107*p + 104*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 392531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 114 divide 12996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 6*m - 22. Calculate the lowest common multiple of 250 and m.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6030 rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**9\/v**7)**(8\/3) assuming v is positive.\nAnswer: v**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 3 = 3*m, 221*r = 226*r + 2*m + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 12453 - (-13)\/((-130)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + c**2 - c. Let r be -2 - ((-6)\/(-3))\/(-1). Let a be z(r). Suppose 5 = -5*o - a, 51 = 4*x - 3*o. Solve 5*m = 0, -m + 5*m - x = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1413031?\nAnswer: 1413031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y**4 + 11177585*y**3 - 8329230821340*y**2 + 2068908749346286000*y - 2068900420126642240 = 0. Calculate y.\nAnswer: 1, 745172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - h - 23 = 0, -8 = -2*z + 223*h - 227*h for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 15, -3, 12 in ascending order.\nAnswer: -3, 8, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**4*t\/(t*t**(1\/5))*(t\/(t*t\/(t*t\/(t**(-3)*t)*t)))\/t**(-6) assuming t is positive.\nAnswer: t**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 81*z**5 + 2916*z**4 + 2862*z**3 + 948*z**2 + 105*z = 0.\nAnswer: -35, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by ((-16)\/5)\/(4\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -225, -3\/2, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5841809302?\nAnswer: 2, 7, 8515757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 121062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -96 - -7295\/76. Let l = 5\/19 + z. Let g = 1 + -1. Sort g, l, -5 in descending order.\nAnswer: l, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1225)\/(-12250) + 8451\/90.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (60\/200)\/((-6)\/8). Let t = 5 + -8. Which is the nearest to l?  (a) 1  (b) 1\/5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 3:01 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 0.08013.\nAnswer: 0.40065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 37537547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -4280*i - 8330. Is 206 a factor of b(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2232324 and 496072?\nAnswer: 4464648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 234 - 223. Let y(r) = -r**3 + 12*r**2 - 9*r + 2. Let u be y(f). Which is bigger: u or 22?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 197 and 10.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12713303 is divided by 402.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -22 + 12 + 33 + t**2 - 8*t. Let a be x(4). Let z(g) = -g**2 + 5*g. Let u be z(4). Solve 4*v + 3*d = 9, u*v + 2*d + 1 = a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d*d*d\/(d\/(d*d\/(d\/(d**3\/d)*d))))\/d*d)\/((d\/(d\/(d*(d**9*d)\/d))*d)\/d))\/((d**(1\/4)\/d)\/d)**(-42) assuming d is positive.\nAnswer: d**(-157\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s - 32 = 7*s. Suppose 2*t = 12 - s. What is the tens digit of (1\/t)\/(1893\/948 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 + 3 = 3*y. Let u = 203 - 164. What is the greatest common divisor of y and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6455837 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -89 - -89.78. Let d = p + -0.8. Suppose 3*n - 3*a = a - 18, 9 = 3*a. Put n, d, -5, 2 in descending order.\nAnswer: 2, d, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.17 - -0.239. Round q to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -332\/585 - -8\/65. What is the smallest value in 2\/29, -3\/5, l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 - 12*a - 6. Let o be q(-5). Let p = o + -27. Which is bigger: -1\/11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-7)\/z**(3\/4)*(z*z**(-2\/9))**(-9))\/(((z**0*z)\/z*z)**(-26))**33 assuming z is positive.\nAnswer: z**(3373\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30309 is divided by 125?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -295 + 320*c + 588 + 1006*c + 469*c - 294.\nAnswer: 1795*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 3*g**2 - 6*g + 11. What is the hundreds digit of z(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-4))\/(27\/(-264)*1100\/825).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 26*l**2 + 98 - 3*l**2 + 18*l**2 - 97. Let j(b) = 4*b - 3. Determine j(m(d)).\nAnswer: 164*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.4  (b) 0.5  (c) -1\/2  (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 819*o + 4097. Give s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -1 + (1 - (8 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*i + 2*i**4 - 5*i + (6*i**2 - 4*i**2 + 4*i**2)*(-i**2 + 31*i - 31*i) to s*i**2 + d + a*i**4 + m*i**3 + x*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of 10970 and 212013197.\nAnswer: 212024167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (12\/14)\/(1\/112). Let d = -670\/7 + w. Suppose -4*u = -k - 12, 0 = k + u - 3. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -150068, -150066, -150086, -150140, -150240, -150398, -150626, -150936?\n\"Answer: -2*k**3 + k**2 + 13*k - 150080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, 56 in increasing order.\nAnswer: -3, -1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 432 = 4*y. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6126 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b + 1. Let n be 2\/(-1 + 3 - 0). Let x(w) = -2*w**2 - 4*w + 4. What is n*x(d) - 4*q(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 291.1955 minutes in seconds?\nAnswer: 17471.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 93 = 5*f + 5*a, 2*f + 3*a = -200. Let q(n) = 3*n**2 - 54*n + 74. Let p be q(15). Let t = p - f. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**2 + 82*m + 181. Does 5 divide x(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43893383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of r**6\/720 + r**5\/120 + r**4\/48 + r**3\/36 + 24*r**2 - 2. What is f in x(f) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-2\/7)*z**(1\/3))**(-23) assuming z is positive.\nAnswer: z**(-782\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 95354 and 95354.\nAnswer: 95354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*a*s**3*w + 2*a*s**3 + a*s**2 - 238*a*w + s**3*w - 244*s**3 + 6*s*w wrt s.\nAnswer: 30*a*w + 12*a + 6*w - 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*m + 24*m + 5*m - 69*m - 74*m - 1097 wrt m?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 + 13 + 15 - 97*f**2 - 59 + 22 + 4*f.\nAnswer: -97*f**2 + 4*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 13*s = 9*s + 16, 5*u + s = 61. Solve 4 = 2*j + u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -332234201 + 3?\nAnswer: -332234143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 6 = 3*s, 11*t = 9*t + 5*s + 31. Suppose -12 = -0*b - t*b. Let k be (60\/(-1))\/(b\/(48\/(-9))). Calculate the highest common divisor of 120 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3769384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 182 - (5\/3)\/(3\/(-9)). Suppose -151 = -3*i - 49. What is the greatest common divisor of a and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106568*q + 107007*q = 24145 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*w - 2, 3*w + 0 = -6. Let g be 210\/28 + 1\/l. Solve 4*t + 0 = g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1202538533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 532 = 3*v - p, 3*p + 524 = 5*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 o be (4\/(-16)*0)\/(-1). Solve 0 = 3*g - r, 2*g + 2*r + 2 + 6 = o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 + 10*p**2 + 15*p - 5. Let f be d(-8). Suppose -21 = -k + 2*s, k - f*s = 2*k - 11. Let r be ((-16)\/6)\/(2\/(-3)). Solve 3 + k = -r*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*u + 42*u - 156 = 27*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0974357 + 11299894?\nAnswer: 11299893.9025643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 PM and 10:09 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 223 and 66451993.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, h: 1, t: 3, o: 1}. Give prob of sequence bhob.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 107.8290827 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -557, -1033, -1555, -2123, -2737, -3397, -4103?\n\"Answer: -23*j**2 - 407*j - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 63.77733 litres?\nAnswer: 63777.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = 4*k + 16, 119*k = 114*k - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 2*c + 126. Let i = -361\/261 - 44\/87. Find the common denominator of (7\/42)\/(3\/c) and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*x**2 - 21*x**2 + 9*x**2 - 26*x**2 + 10*x**2 + 0*x**2.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*r**4 - 483*r + 570*r**2 - 519*r - 250 - 118*r**3 + 152*r.\nAnswer: 2*(r - 5)**3*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2564, 2565, 2566, 2567, 2568?\n\"Answer: w + 2563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 301040619 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3101238317 to the nearest integer?\nAnswer: 55689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1216, -5368, -12478, -22546?\n\"Answer: -1479*t**2 + 285*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4178 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: Let r(m) = -3*m + 1. Let v(c) = -4*c + 2. Let n(p) = 5*r(p) - 4*v(p). Let z be n(3). Suppose 3*a = 4*a - 4. Solve g + a + 0 = z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 2. Let l = 118 - 191\/2. Let n = 22 - l. Is c at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/4*2\/44*144\/24?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 63 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 29.1 times -0.7\nAnswer: -20.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 2 + 8. Let r = 27589 + -193149\/7. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 138889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2. Let x(l) = 8*l**2. Let k(n) = 4*n + 31. Let y be k(-7). Let t(v) = y*x(v) + 6*d(v). Let m(f) = -2*f**2. Calculate t(m(a)).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -4*f + 60. Factor -5*b**3 - b**2 - 6*b**2 - f*b - 5*b**2 - 2.\nAnswer: -(b + 1)**2*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fourty-seven quarters of a tonne?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*g**2*n*t**3 + 30*g**2*n - g**2*o**3*t**2 + 7182*g*n*o**3*t**3 - 2*g*o**2*t - 2*n*o*t wrt o?\nAnswer: -6*g**2*t**2 + 43092*g*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 3*h - 1. Let t be n(-3). Let a be (13\/(-4))\/((-4)\/16). Suppose a = -d + 64. What is the greatest common divisor of d and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*q + 7719 = -3502 + 514 for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 968 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/2))**(-1\/53)\/(b*b**(-3)*b\/(b**(1\/6)*b))*b**(2\/7)*b**(5\/2)*(b**(5\/2)*b)\/b*b\/b**(-7)*b assuming b is positive.\nAnswer: b**(18301\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jejjejjeejjjejjj. What is prob of picking 1 e and 2 j?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-3) - 2\/(-2). Let j be (-2)\/(18\/21) + t. Is j > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one fifths of a tonne in kilograms?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*w + 1610 = -238 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (159\/9 - 18 - 57\/(-9))*35\/3\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x + x - 3*x + 2*x - 2*x + 2*x + (-4*x - 3*x + 6*x)*(3 - 4 - 1) - 67 + 103472*x + 6 - 103475*x.\nAnswer: -x - 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 123367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 8*c**2 + 7*c - 6. Let y be z(1). Solve 3*r + 5*x + 2 = 0, 3*r + 13*x = y*x - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.088461 rounded to three dps?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*g - w, 3*g - 2 - 7 = w. Suppose -g*n - 2*u + 4*u = -34, -u - 21 = -2*n. Calculate the lowest common multiple of 2\/(-6)*(-15)\/1 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from acacc. Give prob of sequence ca.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 366 and 25071?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2425 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 8*h**2 + 62*h - 27. Let a be v(-8). Let g(i) = -3*i**2 - 32*i + 26. Give g(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 480 and 202368.\nAnswer: 1011840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 300 = -10*k. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -314*b + 27*b + 13725 = 628*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -3*z + 51005, 27*t = 4*z + 24*t - 68005. Suppose 0 = -19*b - z - 209098. Round b to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -263906396 by 4.\nAnswer: -65976599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 5*y**3 - 2*y**2 - 26*y. Let v(x) = -3*x**2 + x. What is q(t) - 2*v(t)?\nAnswer: 5*t**3 + 4*t**2 - 28*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + -23 - (23 - 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 624961 is divided by 77978.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 1 = -2*n, -t - 1 = -2*n + 4. Suppose -n + 65 = -5*s - 3*z, 0 = 2*z - 8. Let k be s\/(-9)*(-6)\/(-2). Solve 2*u + k = -5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8233573 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1712520 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7420 or -7387?\nAnswer: -7387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/((s\/s**14)\/s))**(-12)*(s**(-9\/4))**(-25) assuming s is positive.\nAnswer: s**(-543\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 - 5549*k + 4. Let p(v) = -3*v**2. Calculate l(p(u)).\nAnswer: -9*u**4 + 16647*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/120 and 139\/5160.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 13 - -1) + (1 - (19 - (7 + 2)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159267 - 2*k**2 + 159267.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10193 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7.77 - -7.8. Which is the nearest to r?  (a) -0.1  (b) 1  (c) -2\/13  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + (1 - -2*31). What is the greatest common factor of m and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -2*x**3 + 11*x**2 + 29*x - 23. Let h be j(11). Is -1035 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -13*a + 4. Calculate m(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, 0.4, -1, -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2b33a8 (base 12) to base 10\nAnswer: -731504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.01 and -2156.736?\nAnswer: 2156.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.4+-7564\nAnswer: -7563.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*p = -74*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136 = -17*y + 15*y. Let m = 71 - y. Find the first derivative of -28*a**3 - 27*a**m + 42 + 51*a**3 wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44040433?\nAnswer: 3637, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 - 10*j + 2. Let f be i(10). Suppose 5*b - f*b = 6. Suppose -4*g + 85 = b*x + 19, 3*x + 81 = 4*g. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 20*m + 1. Let x be b(1). Let w = 1 + x. Let t = w + -16. Calculate the greatest common factor of 42 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2491 - -2494. Sort 20, 0.4, -0.6, w in descending order.\nAnswer: 20, w, 0.4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 PM and 4:20 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 251.5 - 251. What is the closest to -1 in q, 1, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 + 20 - 6*o - 36 in the form c + g*o and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/3 + 283*t\/3 + 94.\nAnswer: (t + 1)*(t + 282)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-3168)\/432*(-18)\/231\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.44 - 1.56. Let f be -7 + (-4)\/12*-9. What is the smallest value in f, m, 2.9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccwwccc. Give prob of sequence wcwc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -171725, -171709, -171667, -171587, -171457, -171265, -170999?\nAnswer: -170647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -7.5 * -8.333\nAnswer: 62.4975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - -1)*-2*(-13)\/(-78). Let w = -0.05 + 0.55. What is the second smallest value in w, j, -4\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 5136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2050*q - 9. Let o(l) = 2*l. Give o(p(a)).\nAnswer: 4100*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22013300303 + -1?\nAnswer: 22013300302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -7*s**2. Let r(d) = 4*d. Let v(n) = -4*n. Let x(t) = -4*r(t) - 3*v(t). Let z(l) = l. Let q(f) = -x(f) + z(f). Give j(q(m)).\nAnswer: -175*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 + 2*o + 5. Let c(d) = d**2 - 2*d - 4. Let x be ((-126)\/105)\/((-6)\/(-15)). Calculate x*c(r) - 2*j(r).\nAnswer: -r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((16\/(-32))\/(4\/6))\/(114885\/(-4140)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0136436 rounded to four dps?\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9486 by -2.\nAnswer: 4743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 315 = v + 4*v. Suppose -12 = -4*c + 8. Let g = 2 + c. What is the highest common divisor of g and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - 0. Let s be 93\/9 + y\/3. Find the third derivative of s - 3*o**5 + 2*o**2 - o**2 - 11 wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8717828 is divided by 2237?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppgpcgcggggp. Give prob of picking 2 c.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 33c9 - 5?\nAnswer: 33c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/3 - 531916*j\/3 + 11167590.\nAnswer: 2*(j - 265895)*(j - 63)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36078195?\nAnswer: 3, 5, 2405213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 3*l - 173, l - 2*h = 87 - 36. Suppose 569 = 2*c + 329. What is the remainder when c is divided by l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 + 9736014*g.\nAnswer: -3*g*(g - 3245338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 419*b - 1130*b - 1551*b = 669*b - 211032 for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1391923352281\/424 + 3282835793. Let m = w - -2302. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -594 - -1833. Let h = a + -1276.15. Let x = h + 37. Round x to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 149359 (base 14) to base 8.\nAnswer: 2570063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69054.\nAnswer: 2, 3, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*w**4 - 150*w**3 + 216*w**2.\nAnswer: -3*w**2*(w + 18)*(3*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58\/(-3)*26685\/8895?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpkdkpwdkdkwd. What is prob of sequence kk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lw when two letters picked without replacement from uplwllu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 353343281477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -69 - -12. Let h = -56 - k. What are the prime factors of 19\/((5\/h)\/5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 6*f**2 + 91*f + 18. Let l be v(-15). Suppose -s = 4*s - m - 5, -2*s - 3*m + 2 = 0. Let y be -1*(2 - s - 1). Put -5, y, l in descending order.\nAnswer: l, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*y + 86 - 392. Suppose -2694 - 7179 = -y*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4991941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3748 a factor of 86166520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -240, 0, 4, -42, 3 in ascending order.\nAnswer: -240, -42, -5, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h\/(h*h*(h\/((h\/(h*h**(-1\/5)))\/h))\/h*h*h)*h*h**(-1\/4))\/((h**5*h)\/h*h\/h**(-7)) assuming h is positive.\nAnswer: h**(-281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (45\/(-6))\/(6\/(-8)). What is the tens digit of k\/(-3 + (-33)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 21*l**2 + 3*l + 68. Let r be b(-21). Solve r*h + 2*h - 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2124.08 to the nearest 10.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12144*v - 376736 = -496687 - 900145 for v.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 703.046 - 3.746. Round n to the nearest ten.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y + 7. Suppose 2*u - 20 = 3*z - 10, -5*u = 5*z - 50. Suppose -a + 4*v - u = 0, -5 = -2*a - 3*v - 10. Give x(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 4*l + 8, 4*q - 11 = 3*l + 5. Let s be -1*(2\/q + (-30)\/12). Solve -2 - s = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tbtttttttttbtttttttt. What is prob of sequence ttb?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163 + 2446 = 40*m + 89 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 676 is divided by 57?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(117) + -1)**2*6 + (sqrt(117) + 1 + -2 + sqrt(117) + (sqrt(117) + 1)*1)**2.\nAnswer: -1779 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 946787 and 573.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 56777674?\nAnswer: -56777672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 5*g = -4240020, -4*b - 3*g - 8480004 = -2*g. What is b rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(((c*(c**(1\/21)\/c)\/c)\/c)\/c)*c)\/c)\/(c**(-1\/3)\/c))**(-2\/7) assuming c is positive.\nAnswer: c**(-74\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2862283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -2*s**2 + 9. Let i(v) be the third derivative of -v**4\/24 + v**2. Determine i(z(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 6, i: 3, c: 1, r: 4, o: 1, e: 3}. Give prob of sequence cn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*x + x - 7*x)*(-14 + 20 - 10)*(-3 - 3 + 4)*(3 - 2 + 0) to the form u + i*x and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -5 + -473 + 486\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 AM and 5:30 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of -x**6\/60 - x**5\/15 - x**4\/12 + x**3\/3 + 80*x**2 + x. Calculate s(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.4724 rounded to 1 dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.04 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-4 + (2 - -5) - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 174 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2175 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -51 and 6.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*o - 8*o + 3*o)*(-112 - 264 - 154) as m*o + i and give m.\nAnswer: 6890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eey when three letters picked without replacement from eeyeyeeekekeekeeee.\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (14*22\/231)\/((-3)\/(-90603))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 11:37 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xt when two letters picked without replacement from txxttxt?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 140698, 140703, 140708, 140713, 140718?\nAnswer: 140723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + 1)*1\/(-1) - 40. Let g = o + 44. Solve -2*c = -4*h - 18, 4*c - 24 = 3*c + g*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 238\/(-20) - 1\/10. Let h be ((-3)\/6)\/(2\/t). Determine n, given that -6*n**2 - n**2 + 80*n**4 + 50*n**5 - 9*n**2 + 2*n + 12*n**h = 0.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44 - (-4408770)\/100710 - (-8)\/36)*-6.\nAnswer: 2\/373","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 24*j**2 + 24*j - 22. Let c be i(23). Solve 3*d = c + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 + 8 = -3*l. Let x = 29 + l. What is the smallest common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2. Let d be p(0). Let i be (d + 2\/12)\/((-2)\/3). What is the closest to 0.1 in 7, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 17 + -1 + -2 + -2. Let v = j + 3. Suppose -3*b + v = 2*b. Solve 0 = -2*o + a + 2, -5*o + 3*a + 6 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 76 = 2*s. Let k = 3 - s. Let r = 33 + k. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 - 8*d + 7. Give r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**2 + 12*i + 105. What is y(10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/6*21\/15*(-44)\/66?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.3  (b) 0.1  (c) 4\/5  (d) 0  (e) -378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/3948224 and 59\/8?\nAnswer: 3948224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -4*l**3 + 762*l**2 - 366*l - 2594. What is j(190)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 3*k - 55. Let z = k - 7. Solve 4*u + 22 = 2*a, z + 5 = -3*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1221 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 2177.\nAnswer: 19593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-2 + 6) - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1959870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19058 and 2197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4920 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: Let c(n) be the third derivative of n**7\/210 - 73*n**6\/60 - 15*n**5 - 227*n**4\/3 - 608*n**3\/3 + 10*n**2 + 9*n - 12. Factor c(s).\nAnswer: (s - 152)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 210 + 206 = -2*n, -9 = -3*c + 3*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6142 - 0.614204571. Round x to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -y**6\/360 - y**4\/12 + 17*y**3\/3 + 1. Let o(c) be the third derivative of s(c). Let g(t) = -t**2. What is o(g(p))?\nAnswer: -p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**2 - 10*a**2 + 4*a**2 - 2*a**2 - a**2 + 2*a**2 + (4*a**2 + 0*a**2 - 2*a**2)*(1 - 1 + 2) - 105*a**2 - 160*a**2 - 252*a**2.\nAnswer: -524*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**4 + 140*i**3 + 1360*i**2 + 5200*i + 6000.\nAnswer: 5*(i + 2)*(i + 6)*(i + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1850893486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5031 - 0.062?\nAnswer: 5030.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 15*k - 34. Determine j(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/2  (b) -1\/17  (c) 0.1  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7452 and 83145.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-16) - -2*(-9)\/(-8). Solve 11 = -3*u + 4*n + o, -2*n = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 71 + 109*l**3 + 123*l**3 - 232*l**3 + 115*l**4 wrt l?\nAnswer: 460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2 + 6)*(p**2 - p**3 - p**2) + 250*p**3 - 252355 + 252355 as r*p**2 + l*p**3 + i + g*p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u - u**2 - u + 0*u**2 + 12 + 0*u + 5. Determine p(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2266 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.02*-3752.834\nAnswer: -75.05668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y. Let t(h) = -2*h**2 - 5*h + 5. Suppose 5*z - 16 = 9. Let l(v) = -2*v**2 - 6*v + 6. Let a(i) = z*l(i) - 6*t(i). Determine w(a(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4486\/((2 - 4)\/(-5 - -4)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*m + 5*z + 196, -z + 147 = -2*m. Let j = -67 - m. Solve -j*a = -1 - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -7*b**2. Let p(o) = -2*o**2 - 22*o - 54. Let z be p(-4). Suppose -z*v + 6*v = -12. Let n(x) = x**2. Calculate v*f(h) - 24*n(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15298, 30598, 45898?\nAnswer: 61198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 407222 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**5\/3 - 5732*a**4\/3 - 8213953*a**3\/3 + 17194*a**2\/3 + 24630404*a\/3 - 16427912\/3 = 0.\nAnswer: -2866, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = 8*r - 2. Suppose -3*b + r*n - n + 71 = 0, -b + 4*n + 20 = 0. What is the common denominator of -12\/5 and (282\/b)\/(((-42)\/(-8))\/(-3))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + 7*b**2 + 2*b + 4. What is the hundreds digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = v + 24, -968*g + 969*g = -13*v + 6 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.054646 rounded to 3 decimal places?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33*u**2 - u**3 - 33*u**2)*(1 - 4 + 1).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2570*z**2 - 4*z + 1515. Let u(x) = 2*x**2 + x + 19. Let o(h) = -m(h) - 6*u(h). What is the first derivative of o(s) wrt s?\nAnswer: 5116*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/2*400\/(-220).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 9*i. Let v(c) = -c. Suppose 7*u = u + 6. Let q(x) = u*j(x) + 6*v(x). Let g(y) = -2*y**2 - 2*y**2 + 2*y**2. What is g(q(m))?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -g**2\/2 - 8*g - 4. Let a be l(-7). Let k = -15 - -10. Sort a, k, -1\/11 in increasing order.\nAnswer: k, a, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27694 is divided by 1977.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100110001010100101 - -100?\nAnswer: -1100110001010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - -2023043?\nAnswer: 2023047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w - 3*k - 69, 17735*w - 4*k = 8867*w + 8865*w + 90 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*m*q**5 - 9852982*m*q**4 + m*q - 28*m + 2*q + 105024 wrt q.\nAnswer: 100*m*q**3 - 118235784*m*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-147)\/14*(-14)\/(-3). Let n = g + 281\/6. Suppose -10*a = -12*a + 5*t - 36, 3*t - 6 = -4*a. Is n bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -480*i**2 + 2400*i - 13. Determine j(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2. Let m(i) = -i**3 - 6*i**2 - 5*i - 7. Let q be m(-5). Let h = -1 - q. Let v(l) = 7*l - 6 + h. Calculate c(v(x)).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 4*m - 11. Suppose l = 5*l + m*n, -2 = 3*l + n. Calculate the common denominator of 37\/18 and l - (2 - 303\/60).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v**2 + 2*v + 35*v**4 + 9361*v**3 + 3 - 4678*v**3 - 4683*v**3 to n*v**4 + y + b*v**2 + l*v**3 + j*v and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6168.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 149865 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-21)\/(-6)*15\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1645739?\nAnswer: 43, 38273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-4 + sqrt(833))*5 + 1 + sqrt(833) + -2 + sqrt(833) + sqrt(833) + sqrt(833))**2 + -3.\nAnswer: -2268*sqrt(17) + 67794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m**2 - 242. Let w(h) = 2*h - 7*h + h + 2*h + 4*h. Calculate g(w(i)).\nAnswer: 8*i**2 - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {b: 6, i: 1, d: 1, f: 5, g: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18699*b**2 - 4248*b**2 - 11453*b**2 - 1002*b**2.\nAnswer: -35402*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 13159, 13085, 13025, 12979?\n\"Answer: 7*b**2 - 95*b + 13247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 16 + d29b?\nAnswer: d2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4 = 2*v - 3*x, -2*v + 2*x = 2. Let p(c) = 12*c**2 + 35*c + 6. Is 58 a factor of p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -5*o**2 - 60*o + 13. Calculate z(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15769.\nAnswer: 13, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -848 - -18673\/22. Find the common denominator of x and -17\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 471ab3 (base 12) in base 16?\nAnswer: 1173e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -57*v**2 - 17*v + 5. Let h(q) = -19*q**2 - 6*q + 2. Let w(t) = -4*g(t) + 11*h(t). Let p be w(-2). Let r = p + -32. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 982 by -2.\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 425.5598l in millilitres?\nAnswer: 425559.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -6.11, -0.5, 4, -3.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 27*v**2 - 3748*v - 711. What is f(139)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4763238 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 5*o - 4*k - 57, 5*o = -k + 61. Let h = 12 + o. Suppose j + h = 3*j. What is the remainder when 47 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 580\/6 - (-12)\/(-18) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99008 is divided by 425?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - u - 12*u - 84 = -5*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (168\/140)\/((-18)\/(-60)). Solve 32 = g*a + 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 5099\/19602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 - 11 - 194226*w + 194230*w)*(4*w + 0*w + 17*w).\nAnswer: 84*w**2 - 462*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*k**4 - k**3 + 0*k**4 - k**4 + 5*k**4 - 3*k**4 + 0*k**4 - 3 + 3 + k**4 + (-4*k**3 + 5*k**3 - 2*k**3)*(6*k - 3*k - k) - 9*k**4 - 29 + 29.\nAnswer: -16*k**4 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 2*p**3 + (p**2 + 3*p**2 - 2*p**2)*(3*p - 2*p + 2*p) + 5*p**3 - p**3 - 2*p**3 + 0*p + 0*p + 5*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 times -0.22\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qykkqkkqykqkqkqqqq. What is prob of picking 1 q, 1 y, and 2 k?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.08 and 4.45.\nAnswer: 4.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 104 and 518232.\nAnswer: 518232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + (-4 - (-11 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 23 - 9 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11963 - -11963.126. What is the fourth smallest value in 3, -4, -3, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 659933 a multiple of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11056*i + 33200*i - 11058*i - 11090*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -69c3?\nAnswer: 69be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h - 10. Let b be j(7). Suppose 12*l + 296 + 40 = 0. Let n be 10*(15\/22 - l\/(-154)). Solve 2*i + i = -5*y + b, -n = 5*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -d**4\/4 + 14*d**3\/3 - 7*d**2 + 19*d + 10. Let i = 47 - 34. What are the prime factors of f(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 13*c = 70 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42365473 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4939 and 16.37?\nAnswer: 4955.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5962583*x**3 + 2780141*x**2.\nAnswer: 35775498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.2 + -0.8. Let y = -63.3 - -63. What is the second smallest value in y, 4, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/15?  (a) 873  (b) 33\/10  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 399 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooizozoiziiii. What is prob of sequence zz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -0.9?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 4230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63904 - 31956 - 4*a - 31948.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16.9 or 0?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10*45\/81?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 7. Let x(f) = f - 5. Let z be x(7). Suppose -4*l + 48 = -z*y - 4, a = 4*l - y - 50. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/2)\/((-90)\/24). Which is the closest to -1?  (a) -0.2  (b) x  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/537030 and 73\/14535.\nAnswer: 10203570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 + 18*d + 22. Calculate the remainder when 63 is divided by i(18).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**6)**(1\/45)\/(v*v**(-27)*v\/(v\/(v*(v\/(v*v**(-2)*v))\/v)*v*v)) assuming v is positive.\nAnswer: v**(407\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, -20361, -1, -3, -11 in ascending order.\nAnswer: -20361, -11, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-80 - -142 - 33).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 10) to base 4\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**5 - 6*v**5 - 2*v**5 + (-2 + 1 + 4*v - 3*v)*(0*v**3 + 2*v**4 + 0*v**3 + (-2 + 2 - 2*v**2)*(2 - 2 + 2*v**2)).\nAnswer: -9*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.04 + 0. Let g = 1.3 + -3.3. Do g and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -959724 (base 11) to base 12\nAnswer: -620738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 289.2453 hours in nanoseconds?\nAnswer: 1041283080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1187 - -837. Let m = u - -670. Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1, 13, 37, 73, 121, 181, 253?\n\"Answer: 6*l**2 - 6*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18036 and 749997?\nAnswer: 8999964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12932 and 12322.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 + 3*w. Let h be 5\/(-4 + (-12)\/(-4)). Let n be g(h). Solve 0 = 4*l + l - n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1539)*2 + (sqrt(19) + sqrt(38)\/sqrt(2)*5)**2 - (2*sqrt(19)*2 - sqrt(19))*-6.\nAnswer: 36*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 5*l**2 - 110*l = 0.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-24))\/(10\/(-174)*(-138)\/(-1380))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 209445 - 33404. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 1179.\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3 - 3332*o**2 + 247570*o + 250904.\nAnswer: 2*(o - 1588)*(o - 79)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 0*b = 0. Suppose 14 + 1 = q - 5*k, -4*k - 12 = b. Find the common denominator of -22\/5 and q + 1 + 85\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*u**4 - u**2 - 108296*u**3 - 2*u + 108298*u**3 - 11*u**4 - 3*u**4 in the form v*u**3 + n*u + w + a*u**2 + f*u**4 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 472548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117 = -100*c + 417 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -104*u**2. Let y(g) = -145*g**2 + 274*g**2 - 130*g**2. Determine w(y(h)).\nAnswer: -104*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.364, 1\/27, 4\/3, -3\/4, 0.07, -3, 9.8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**1*y)**(1\/25))**(-48))**45 assuming y is positive.\nAnswer: y**(-864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, f: 3, s: 1, h: 1}. Give prob of picking 1 f and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from mvwkwmkvnnmm.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10bd (base 15) to base 16.\nAnswer: de1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 6:59 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*k**2 - 29*k**3 + 23*k**3 + 5*k + 6*k**2 + 5*k**2 + 2 as n*k**3 + w*k + b + t*k**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.1435 + -14887796\nAnswer: -14887795.8565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 3311 - 3312 + 7*t + 2*t as h*t + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**4 + 0*s**4 + 3*s**4)*(7 + 13564*s - 8911*s - 7 + 11723*s).\nAnswer: 16376*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2410*i**3 + 24 - 22 - 952*i + 2407*i**3 to b*i**2 + x + m*i**3 + y*i and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-12)\/(-4))\/(-9))\/(-3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-33 + 52 - (3 + 25) - -53) + -1\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 38327019 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80758 is divided by 2071.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 2*b + 7, 38 = 4*z + 55*b - 53*b. Let w be 648 + 9\/(0 + -3). Calculate the greatest common factor of z and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/o**(-1))*o**(-10))**(-14\/9)\/((o**3\/o)**17)**22 assuming o is positive.\nAnswer: o**(-6578\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2736) - (5 + sqrt(2736) + sqrt(2736) + -2 + sqrt(2736))) + 1)**2 - (-4 + (-1 + (-1 + sqrt(76) - sqrt(76)))**2).\nAnswer: 96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 308 = -2*t, -3*z + 4*t + 304 = 2*t. Calculate the remainder when 216 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -13*i**6\/6 - 38*i**3\/3 - 43. What is the third derivative of s(q) wrt q?\nAnswer: -780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (11 + -21 - -6) - -33?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.4 + -0.1. Let u = -3.143 - -0.143. Which is the nearest to q?  (a) u  (b) -4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 61, -90, -241, -392, -543?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(637) - 5*(sqrt(637)*-3)**2) + (-5*3*sqrt(637))**2 + -5.\nAnswer: 7*sqrt(13) + 114656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4414694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -246*g. Let h(w) = 42*w**2. Determine d(h(s)).\nAnswer: -10332*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1857?\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l - 4. Let j(r) = -2*r - 5. Let a(g) = 6*g + 15. Let k(o) = -3*a(o) - 8*j(o). Determine 5*k(t) - 6*s(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -836 - -839.61. Let x = m - 0.61. Let f be (-4)\/(-3) + (-1)\/1. Sort -3\/5, x, f in decreasing order.\nAnswer: x, f, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + -1. Let i(z) be the second derivative of z**4\/6 - 2*z**3\/3 - z**2\/2 - 17249*z. Let o(q) = -2*q**2 + 5*q + 1. What is f*o(v) - 3*i(v)?\nAnswer: -2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/90 and 47\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 9, 5, -3, 1, -2, 36 in decreasing order.\nAnswer: 36, 9, 5, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 4*j**2. Let a(n) = -525*n - 12*n**2 + 525*n. Determine i(a(b)).\nAnswer: 576*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 3*u + 2 - 0, -p = 5*u. Suppose p*z - 337 - 23 = 0. Calculate the least common multiple of 4 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 11*n**2. Let t(s) be the third derivative of s**7\/2520 + s**5\/30 - 19*s**2. Let i(h) be the third derivative of t(h). Give i(w(q)).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 PM and 4:31 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w. Let p(z) = 96667487*z. Calculate b(p(a)).\nAnswer: -96667487*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -293 + 298. Solve -13*v = -8*v + s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1566 is divided by 486.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 1. Suppose -k*a = -145 + 25. Solve 5*l - 2*v = 21, -3*v = 5*l - a - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 247605581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 + (-1)\/2*-16. Suppose -h*f = -26 + 1. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3200133111 (base 4) to base 15\nAnswer: 1326a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 - 3)\/(2\/(-1)). Let r be ((-19)\/2)\/(2\/(-4)). Let d be 4\/2 - (3 - r). Solve m + d = 5*l, m + f*l = l - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 3, -45\/2, 448, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74020476?\nAnswer: 2, 3, 101, 157, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3092*j**4 + 2346*j**2.\nAnswer: -74208*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 113022 = 3*t, 9*s - 3 = 12*s. Let j(r) = -t + 37673 + 39*r. Let g(p) = 5*p. What is j(g(n))?\nAnswer: 195*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.582 + -0.018. Let r = x - 1.4. Let o = -9.9 - r. Round o to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 17 - 33 + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + -1 - 2\/(42\/3555). Let s = 171 + f. Let w = -4.5 - -0.5. What is the biggest value in 5, w, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5151988*t**2 - 1876071*t**2 - 4*t + 4*t.\nAnswer: 3275917*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -2295*s**2 - 1691*s**2 + 531*s**2 in the form m*s + z + p*s**2 and give p.\nAnswer: -3455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40, -28, -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -105  (b) -2  (c) 1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27715267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 122 + -70. Let z(a) = 2*a**2 - 13*a + 7. Let p be z(9). What is the greatest common factor of o and p?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -38, -45, -46, -41?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 149090 and 564.11.\nAnswer: 149654.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -35*f**3 - 11*f**2 + 20*f + 22. Let u(w) = 2*w**3 + w**2 - 2*w - 2. Determine 2*m(p) + 22*u(p).\nAnswer: -26*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -523 divided by 4?\nAnswer: -523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*k**2 - 5*k**2 + 13*k**3 + 7 - 3 - 6*k**2 - 5 to t + c*k**3 + g*k + y*k**2 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.06  (b) -3\/5  (c) -4  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -6 - -4 - 51\/(-1). Let y = 149\/3 - l. Let s be ((-2)\/4)\/(9\/(-6)). What is the second smallest value in s, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -2*m + 5*z, 2*z = m + 4*z - 4. Suppose 7*h - 2954 = -0*h. Suppose -10*f + m*f = h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 89780.0302 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 17442 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 14 = -k + 4*j, -3*k - 3*j = -12. Suppose -p + k*a + 113 = 0, -6*a = 4*p - 4*a - 540. Calculate the remainder when p is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of c**2\/2 + 1. Let f = 5 - 3. Let u(d) = d**f + 0*d**2 - 5*d**2. Determine b(u(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5872954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/3, -4, -0.6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 386*z**2\/13 + 470*z\/13 + 84\/13 = 0.\nAnswer: -1, -42\/193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**(-1\/5)\/n)\/n)\/(n**(2\/19)*n))\/((n\/((n*((n**(2\/23)\/n)\/n*n)\/n)\/n))\/(n*n**(1\/8)\/n*n)) assuming n is positive.\nAnswer: n**(-71551\/17480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 3:10 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 23155*c - 10118732. Calculate p(437).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 65 = -5*y. Let t be 240\/50 + (-2)\/y. Suppose -t*i + 7*i - 44 = 0. Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10908 - -10\nAnswer: -10898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 1. Solve 0 = n - t - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2738, -10964, -24674, -43868, -68546, -98708, -134354?\nAnswer: -175484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 160828055 and 580?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102111 (base 3) to base 2.\nAnswer: 100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + 0.1. Let a = -3763\/2 + 1970. Let t = a + -87. What is the nearest to 2 in 1, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*q + 27 = 9*q. Let w(j) = -j**2 - j + 7. Let z be w(8). Let f be 26\/z - 17\/(-5). Which is the nearest to q?  (a) f  (b) -2  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.515862cm in millimeters?\nAnswer: 95.15862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 92137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - (-12)\/(-8))*30. Solve 2*f + y = 7*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.76  (b) 0.1  (c) -2  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1884743\/44 or -42835?\nAnswer: -1884743\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 3 - 1)*(-77*y - 487*y - 634*y - 817*y - 1189*y) to v*y + p and give v.\nAnswer: 9612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of -3*f**2 + 11\/3*f**3 + 94 + 1\/5*f**5 - 3\/2*f**4 + 0*f. Find j, given that l(j) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 5*l**3 + 5*l**2 + 2. Let i(a) = 6*a**3 + 6*a**2 + a + 3. Let m(n) = 4*i(n) - 5*t(n). What is the common denominator of m(-4) and (2\/(-12))\/(4\/606)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23770*p + 47147*p - 23384*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -124.4816901 take away -2.98?\nAnswer: -121.5016901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 - 11. Calculate the highest common factor of x and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/1359  (b) -4  (c) 1\/6  (d) 132  (e) -3  (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 - 2*l**2 - 2*l**2)*(2*l**2 - l**2 + 0*l**2) - 2*l**4 + 6*l**4 - 2*l**4.\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185*k = -284529 - 128391. Calculate the highest common factor of 168 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 15*s - 4*k - 40 = 0, -46 = 16*s - 12*k + 10*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*q**5 + 3*q**5 - 12*q**2 + 0*q**5 wrt q.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 211599 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 8:04 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17\/(-238))\/(1\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 9 - -7 - 8) + (-16 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + 40a?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 2*o - 4, 3*i + o - 2 = 0. Suppose 2 = -i*a + 10. Let x be 1\/(2\/4*a). Which is bigger: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.08 and -295869.\nAnswer: -23669.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 102\/(-323) - (-25)\/((-7600)\/(-4808)).\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37989 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 9*y - 418. Give s(47).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-1 + -4*(-2*sqrt(448)*3 + 1 + sqrt(448) + 3 + sqrt(448))) + 2)**2.\nAnswer: -111360*sqrt(7) + 2874769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 0, -k + 10 = 5*v - 0. Suppose v*u - 66 = -u. Calculate the highest common factor of u and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of h**5\/40 + h**4\/8 - h**2 - 5*h - 1. Let o(y) be the first derivative of v(y). Let o(l) = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l. Let s(a) = -136 + 61 - 226 - 5*a - 5*a. Give s(r(m)).\nAnswer: -10*m - 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2904208.34 - -0.069\nAnswer: -2904208.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence upu when three letters picked without replacement from ppzuzaazzzzmzppu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 3*j**2 - 1740. Let d(o) = 4*o. Give b(d(m)).\nAnswer: 48*m**2 - 1740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10, -0.086, 1, -351?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -222 > -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -r - 3. Suppose -3*w = 3*w - 24. What is the tens digit of 17 + w - (r + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2*w + 7. Let l(o) = 2*o - 6. Let b(u) = 3*i(u) + 4*l(u). What is the remainder when b(10) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7565*q**2 - 3*q - 7840*q**2 + 15418*q**2.\nAnswer: 13*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4363, -0.3, 1, -0.2?\nAnswer: 4363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**4 + 0*q**2 + 0*q**2 + (-2*q**3 + q**4 + 2*q**3)*(3 - 5 + 3) - 21*q**4 + 74*q**4 + 6*q**4 + 0*q**4 + 4*q**4 - 2*q**4.\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 74 - 69. Suppose 2*j = -j + j. Let q = 3.8 - -0.2. Which is the nearest to j?  (a) v  (b) -2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1604*o + 1332 = -1382*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7\/25836 + 102052291\/335868. Let t = h + -304. Suppose 0 = 5*s - 5. Is t > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 r when three letters picked without replacement from {r: 5, s: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/26593 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -5*d**2. Let i(o) = o**2 - 5*o. Let t(g) = -8*g**2 + 50*g - 2. Let j(v) = -20*i(v) - 2*t(v). What is h(j(c))?\nAnswer: -80*c**4 + 160*c**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 285 and 328111.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, 0.1, 11, 4\/5 in descending order.\nAnswer: 11, 4\/5, 4\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 6439294*z**3 + 6439186*z**3 + 0.\nAnswer: -108*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, r: 5, g: 5}. What is prob of sequence ggr?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 339 + -341. Suppose 2*w - n + 0 = 8, -13 = -w + 5*n. Put w, y, -1 in descending order.\nAnswer: w, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1116)\/651)\/((-7)\/42*-9)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*m + 59*m - 14*m + 33 - 20*m in the form c + n*m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 8754 + 8754 - 4*a**2 + 8754 - 26269. Let r(g) = -5*g**2 - 7. Give -7*c(m) + 6*r(m).\nAnswer: -2*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.12174  (b) -15  (c) 4  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.4786884 rounded to 3 dps?\nAnswer: 11.479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-64)\/(-1008)*(32\/56 + 110\/28). Let a*j**2 + 6\/7*j**3 + 2\/7*j**4 - 6\/7*j - 4\/7 = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 - 5*x**2 + 2*x + 3. Calculate the remainder when w(6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 - c - 1. Let o(w) = 4*w**3 + 2*w**2 - 4*w - 7. Let g(x) = -5*a(x) + o(x). Let z be g(2). Suppose 4*k - k - 1077 = z. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/12*-6)\/((-5)\/2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 7*d - 3. Let m(w) = 27*w - 411 + 37*w + 810 - 427. Calculate -6*m(s) + 56*o(s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/6*54\/72?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 36249386309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 10, 12, 16, 22?\n\"Answer: d**2 - d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5291 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 + -13 - 3)*1. Let p = -18 - m. Solve 0 = -p*g + 2*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -7 in descending order.\nAnswer: -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 4*t = -28, g - 7*t = -4*t - 11. Solve -20 = -4*f, -f + 4 - 7 = -g*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/29, -17971, -0.2, 2?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-520)\/(-35) + 3\/21. Suppose -g - 13 = -2*g + 4*c, -5*c - j = 0. Is (-2 + g)*-71 - 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 4*w**2 - 6*w - 1. Let g be r(-5). Suppose 0 = g*a - y - 432, 4 = -5*y + 4*y. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -53 - -52.6. What is the fourth smallest value in o, 2\/7, 5, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = k - 3 + 16, -2*k = -4*a + 62. Suppose -a = -4*m + 6. What is the units digit of (8\/m)\/((-4)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 42\/197 or 632\/11?\nAnswer: 42\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + -2. Suppose 5*v - 8 = y, -y + x = 2*v + 2. Let b(p) = p**3 + 9*p**2 + 10*p + 18. What is the remainder when b(-8) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-166772)\/(-54384) - (-8)\/132*3. Let i = 1\/618 + p. Calculate the common denominator of 56\/5 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - 14c1b?\nAnswer: -14c18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2779 + -1759. Suppose -l - 4*a + 788 = 3*l, 5*l - 2*a = s. Is l 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 -55*g**4 - 2*g**3 - 265*g**2 + 238 - 238 + 3*g**2 wrt g?\nAnswer: -1320*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 + 12 - 9)*(576*g**2 - 4088*g**2 - 61*g**2) in the form d*g + t*g**2 + a and give t.\nAnswer: -39303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 111330 (base 8) in base 9?\nAnswer: 56508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 7:32 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of s**8\/336 - s**7\/70 + s**6\/120 + s**5\/20 - s**4\/12 + 5*s**2\/2 - 6*s. Let n(c) be the first derivative of g(c). Factor n(x).\nAnswer: x*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 PM and 2:54 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = y - 48, 4*y - 2*z - 2*z - 72 = 0. Let u be ((-2)\/(-4))\/((-1)\/(-322)). What is the highest common divisor of y and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -14*d**2 + 2933*d - 1466. Calculate m(209).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -459.8153 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*y = 13*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (59 - 29 + 2 + (-2 - 3 - 6)*(-1 + 2 + 1) + (3 - 5 + 1)*(2 - 2 + 2))*(-3*m + 4*m + 0*m)*(-3 + 6 - 2).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 71271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v - v - 10724 = 0. Suppose 3342 = 8*o + v. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2750 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 762869?\nAnswer: 762869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 490 (base 13) to base 10.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34430645?\nAnswer: 5, 263, 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*s + 92 = 25*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 70*x - 1128. Determine m(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.26 - 0.36. What is the closest to -2 in m, -2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14016413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of 7*f**6\/45 + f**5\/30 - 43*f**4\/18 - 61*f**3\/9 - 8*f**2 - 324*f. Solve y(k) = 0 for k.\nAnswer: -8\/7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 87 + -48. Suppose -2*y + 167 + q = 0. What are the prime factors of y?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 210243 = -3*n, -10253*k + n = -10256*k + 157676. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17 + 14 + 1)*(-7)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7144 times 0.8?\nAnswer: -0.57152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 411*z**3 + 293.\nAnswer: 1233*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -1. Let w = 3 - p. Solve -2*x - 1 + 3 = -2*i, -w*x - i = 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12522, -12520, -12518, -12516?\nAnswer: -12514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 + -27. Let i be 4\/10 + -4 - p. Let y be (2 - 3)\/(1 + 0). Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 29*b + 1490. Let v be o(-52). Let t = -39 - -81. Calculate the highest common factor of v and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7725.2 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -6*p**3 - 4*p**2 - 7*p - 6. Let l(x) = 5*x**3 + 3*x**2 + 6*x + 5. Let o be (-7)\/(9\/9)*(-12)\/(-14). What is o*k(w) - 7*l(w)?\nAnswer: w**3 + 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*i - 6 + 4 - i)*((4 - 1 - 1)*(6 - 1 - 3) - 1 + 2 - 4) in the form k + c*i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -4*l + 8 + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tznkzqz. What is prob of picking 1 k, 1 n, and 1 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/25)*n\/n**(-1\/10) assuming n is positive.\nAnswer: n**(53\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.3 + 5.3. Let i = 0.6146 + -0.5846. Which is the third smallest value?  (a) i  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.53549 to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 852*w + 403*w = -57730 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*x**4 + 3163 - x - 4*x**2 + 78*x**4 + 37*x**4 + 16*x**4 wrt x.\nAnswer: 540*x**3 - 8*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 274884, 1099617, 2474198, 4398627, 6872904?\n\"Answer: 274924*v**2 - 39*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -6, -1\/2, 90, -1.12, 0.06, 3?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.679161ml?\nAnswer: 0.000679161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-30)\/18)\/(1\/(-3)). Which is the nearest to 9?  (a) 0.4  (b) i  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6442 is divided by 1426.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 5*s**2 + 105*s + 88. Determine v(-21).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22 + 19. Let v be -4*(d + 5 - 3). Let n(b) = -2 - b + v - 3. What is n(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -13, -81, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 7:11 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -48 + 45. Let x be 18\/27*i\/(-2). Let f = 190\/7 - 27. Which is greater: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57, -138, -311, -612, -1077, -1742?\nAnswer: -2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13050)\/870*7\/(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 3:43 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-108)*-4*-4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 3*j + 17. Suppose -g + d + 344 - 355 = 0, g - 14 = -4*d. Give k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 27 = c, h - 3757 + 3913 = 47*c for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*a**2*n**4 + 4*a**2*n**2 + 22*a**2*n - 11*a*n**4 + n**4 wrt n?\nAnswer: -120*a**2*n - 264*a*n + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3835805 + 4?\nAnswer: -3835801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 949792446.\nAnswer: 2, 3, 31, 211, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2808 is divided by 1393?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -817*i + 1913 wrt i?\nAnswer: -817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7360.8 + -8302. What is p rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + k - 5 = 2*r, -2*r - 5*k - 29 = 0. Let z(o) = -o**3 - o**2 - o - 2. Let g be z(r). Put 0.5, g, -4\/5 in ascending order.\nAnswer: -4\/5, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000011536063 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 5*u = 7*a - 331210, -5*a - 3*u + 236578 = 0. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z**0*z*z)\/z)*z*z)\/z**3*z\/(z*z**(1\/2)*z*z*z)*z*z*z**6*z*z*z)\/((z*z*z\/(z**(-2\/5)\/z)*z)\/(z*z**(-1\/7)))**(-2) assuming z is positive.\nAnswer: z**(1091\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 1 = 3*w - 11, -2*k = -3*w - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 28494467 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 + 9*m + 9. Let i(j) = -j + 10. Let l be i(0). Let y be h(l). Let p(x) = 4*x - 94. Let n be p(24). What is the closest to n in -0.3, -1\/2, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4438?\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2180794.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dyy when three letters picked without replacement from {y: 2, d: 8, w: 1, n: 4, h: 4}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 + 22*v**2 + 23*v + 6. Let u be l(23). Let t(m) = -2*m + 5. Give t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000067519 rounded to seven decimal places?\nAnswer: 0.0000675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.2  (b) -7.9  (c) -2\/19  (d) 1  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 483569 - 51.594622\nAnswer: 483517.405378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 3*w + 42, 16*t - 30 = 13*t - 3*w. Solve i = 4*c + 13, t = -i - c + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 3*z - 6. Let m(x) = x**2 + x + 1. Let j(o) = 8*o**2 - 3*o - 3. What is z*m(w) - j(w)?\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of p**2 + 220. Let k(c) = -30*c**2 - 1. Give k(u(d)).\nAnswer: -120*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -36*v**3 + 9*v**2 + 4*v - 4. Let l(h) = 35*h**3 - 8*h**2 - 3*h + 3. Let n(j) = -4*l(j) - 3*z(j). Find the third derivative of n(u) wrt u.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -9*t - 4. Let r be k(-1). Suppose r*l + 2*l = 56. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(6\/(-2) - (-6 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4921, -62, -0.2, -0.3 in decreasing order.\nAnswer: -1\/4921, -0.2, -0.3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ch when two letters picked without replacement from ghc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3482*-0.33\nAnswer: -1149.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*f**3*h**3*o**3 + 5*f**3*h**2*o**2 + 7*f**3*h*o**3 + 99*f*h**3*o**3 - 4*h**2*o + h**2 wrt h.\nAnswer: 90*f**3*o**3 + 594*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2209 + -1471. Let z = -1874 - -1876. Suppose z*w = -4*x + 514, 4*w - w - 5*x - h = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 6*n = 0. Suppose 2*i - 5*c - 9 = 0, 6*i = i - 3*c + 38. Suppose 0*h + i = h. Solve n = -5*u - 2 + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 greater than -17325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -187, -183, -177, -169?\n\"Answer: c**2 + c - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 0 + sqrt(80) + ((sqrt(5)*2*1)**2 - sqrt(20)*5) + -2 + (((sqrt(500) - sqrt(500)*-1*-6) + sqrt(500) + sqrt(500))*5)**2.\nAnswer: -6*sqrt(5) + 112523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a*a*a\/a**(-1)*a))\/a**(-3))**(38\/5)\/(((a*a**(-1\/6))\/a)\/a*a**(1\/4)*a\/a**(-2)*a\/(a**(1\/6)*a)) assuming a is positive.\nAnswer: a**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 96.90325mm?\nAnswer: 96903250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 109427627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + c + 97, 0*c - 32 = -v - 4*c. Suppose 0 = -v*i + 24*i - 4. Solve -i = 3*x - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, d: 1, l: 2, h: 1, f: 5, i: 2}. What is prob of picking 1 d, 2 f, and 1 l?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 141864 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -77*f + 81*f - 52. Suppose 10*h + 3 = f*h. Let j(g) = 5*g + 3*g + 4*g - 16*g - h. Determine j(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22588885 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 12*l)*(-14 - 25 - 4) + (2 - 1 + 0)*(-2*l + 6 - 6) to h*l + o and give h.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjujjjjjjjjujjjjjj.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-4) - (-6)\/(-4). Let d be ((-1)\/(-2))\/(y\/(-6)). Let h(a) = 7*a**2 - 2*a + 0*a**2 + 0*a + 3*a. Calculate h(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 117, 183, 283, 417, 585?\n\"Answer: 17*y**2 + 15*y + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7)\/(-28) + (-126)\/(-8). Let w = u + -14. Let h(k) = 7*k**2 - k**w - 5*k**2. Let d(r) = -12*r**2. Give h(d(c)).\nAnswer: 144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -198, -149, -2, 291, 778, 1507?\n\"Answer: 8*b**3 + b**2 - 10*b - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of i**9\/216 - i**6\/15 + 5*i**3\/3 - 13*i. Let b(w) be the second derivative of n(w). Find the third derivative of b(v) wrt v.\nAnswer: 840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105 divided by -6.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30 - 67 - -51) + -21 - ((0 - -1) + 35).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - 5*m - 49. Let t be h(-11). Let q = 129 - t. Solve -x + 5*d = x, x - q*d - 1 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -26  (b) -2\/7  (c) -0.2  (d) 2\/15  (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 1 - 7) + -25 + 26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/157 and -73\/201.\nAnswer: 31557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c - 6*c - 15*c)*(406 - 161 + 646).\nAnswer: -21384*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from hvvfs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 834.6431ml in litres?\nAnswer: 0.8346431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -7*z - 30. Let w be z*(2 + -4)\/2. Find the second derivative of -35*j**2 + w*j**2 + 13*j**2 - 9*j wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 392*c*u**5 - 7*c*u + u**6*v**3 - 2*u**2*v**3 - 2*v**3 + 12 wrt u?\nAnswer: 23520*c*u**2 + 120*u**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-8238)\/(-5))\/6 - (-6)\/15. Is ((-2)\/1)\/((-10)\/y) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*c + 31*c = -2*t + 29927, 3*t + 4*c = 44901. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*c**2 + 0*c**2 + 0*c**2)*(-3*c**2 + 3*c**2 + 3*c**2).\nAnswer: -30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -32, -59, -94, -137, -188?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 27696824 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 343*k**5\/4 + 4361*k**4\/4 + 5411*k**3\/2 - 9495*k**2\/2 + 8883*k\/4 - 1323\/4.\nAnswer: (k + 7)**2*(7*k - 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.54604126 - -0.02.\nAnswer: -3.52604126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5\/3, -46, 79, 1\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -49704 divided by -24\nAnswer: 2071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 26*z + 299. Let d be (-2)\/(72\/275 + (-2)\/25). What is k(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -d + 38 - 3, -4*d + 195 = l. Suppose 10 = -u - 4*h, -19*u - 12*h + 7*h + 165 = 0. Calculate the highest common factor of d and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -11*j**4\/24 + 2*j**2. Let i(f) = -7*f + 5. Let c(o) = -4*o + 3. Let g(r) = -5*c(r) + 3*i(r). Give y(g(x)).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, -2, -11, 16, 198 in ascending order.\nAnswer: -11, -2, 2, 3, 16, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a + 173. Suppose -1847 + 1352 = -60*i + 2265. What is the remainder when u(0) is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/50*18\/6)\/(219\/292)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 187 and 28898793.\nAnswer: 28898793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 660*-0.0569.\nAnswer: -37.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -20 + 17 + (-7 - (-1 - 4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39)\/26*1*(-4)\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 49644994 and 2226?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1126\/73 + -308551\/219. Let h = 1404 + f. Find the common denominator of h and -55\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7b3 (base 16) in base 12?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.06, -7.1, -4 in descending order.\nAnswer: 1, 0.06, -4, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.114106 and -1.\nAnswer: -1.114106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 3 - 18. Let p be i*1*(3 + -4). Find the second derivative of -2*z - 3*z + p*z - z**4 wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (118*i + 0*i**3 + i**3 + 6464*i**2 - 6463*i**2)*((-i**2 + 0*i**2 + 2*i**2)*(-2 + 2 - 2) + 4*i**2 + 3*i**2 - 2*i**2).\nAnswer: 3*i**5 + 3*i**4 + 354*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5240387 (base 10) in base 15?\nAnswer: 6d7a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 16998.92 decades?\nAnswer: 169989.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbfbbbbb. Give prob of picking 1 f and 1 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-18) + 672\/6426?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 4*p = -14, l - 734*p - 125 = -765*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 497040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u. Let x(k) = -2*k - k + 11*k. What is x(r(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -l + 11. Suppose 91*o - 52*o - 117 = 0. What is the derivative of -l*d**2 + 8*d**2 - 10*d**o - 19 + d**2 wrt d?\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j - 18*j**2 + 30*j**2 - 9*j**2 + 3 to the form w*j + y + z*j**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 319632622 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + 2. Suppose -y + 2*u + 16 - 3 = 0, -u - 5 = 0. What is the third derivative of -31*z**3 + h*z**2 + 31*z**y - 5*z**4 wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {w: 1, e: 4, o: 2, m: 3}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of 4*r**2 + 13*r - 1665. Let s(b) = -b. Determine p(j) + 6*s(j).\nAnswer: 2*j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to -5.268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 21128 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v + v + 4*v)*(-239*v + 180*v + 123*v - 1).\nAnswer: 128*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -92971*h**3 + 89713*h**2 wrt h.\nAnswer: -557826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 1:07 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.4 + -7.6. Let t = 11 + q. Let h be (-24)\/133 - (-4)\/14. Which is the closest to 1\/2?  (a) 0  (b) t  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/(1*sqrt(4)) + 2 + 1.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 81220 to the nearest one thousand.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83, 150, 193, 200, 159, 58, -115?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*n + 8. Suppose i = p + 3, 3*i - 15 = -3*p - n*i. Suppose -6*j + 2*o + 17 = -j, p = -o. Solve -3 - 3 = c - d, 2*c - j*d + 14 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 11:40 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-5*sqrt(1300)*-4)**2 + (-2 + 2*sqrt(1300))**2 + 3.\nAnswer: -80*sqrt(13) + 525204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 7*n - 40. Let w be o(6). Suppose 0 = -r - 7 + 2. Let t(u) = 4*u**2 + 15*u + 2. Let s be t(r). Which is the closest to 0.1?  (a) w  (b) s  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101187 is divided by 16859.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - 7. Let u = 5 - j. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 5) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(108) + 0 + sqrt(108))*-3.\nAnswer: 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*v - 479 - 457. What is the greatest common divisor of 117 and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + 20\/70.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-10) - 8\/(-180)*-9. Suppose h = -8*w + 7*w + 91. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -3\/4  (c) 52\/5  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2787 times 1.938?\nAnswer: -5401.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2521*z = -7718*z - 249845 - 25596 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 + 50*k**2 + 45*k + 306. Calculate l(51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/108*158 + 2\/9. Let w(x) = 3*x**3 + 8*x**2 + 11*x + 10. Let c be w(s). Is (c - (0 - -3)) + (1 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 + 32 - (-1 - -1) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/3  (b) -37204  (c) 5  (d) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - 50c5b69?\nAnswer: -50c5b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of 4427*h**3\/6 - 5939*h**2 - 2824*h. Find the first derivative of j(m) wrt m.\nAnswer: 4427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 - -19.89. Let z be -5 + 262578\/50274 - (-12)\/(-54). Let w = z + -935\/5586. Which is the smallest value?  (a) -1  (b) f  (c) w  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 0 + 2 - 2*p**2 - 2. Let k(u) = -32*u**2. Determine s(k(h)).\nAnswer: -2048*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 8, 40, -1, 41 in decreasing order.\nAnswer: 41, 40, 8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1819, -14511, -48949, -116005, -226551, -391459, -621601, -927849?\nAnswer: -1321075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4455 and 13365?\nAnswer: 13365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(176)*2)**2 + (sqrt(99) + -1*sqrt(99))\/sqrt(9) + (sqrt(22)\/(sqrt(2)*-3 - sqrt(2)))**2*2).\nAnswer: -28215\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(320\/(-24)))\/((-12)\/(-5))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = y + 4*y, 5 = 3*f - 2*y. Let p be 124\/(-30) - (15 + -19). Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 PM and 5:07 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156 divided by 2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 234433521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*h = -2 + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, z: 2, u: 3, f: 3, b: 2, h: 2}. What is prob of picking 1 c and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.263ug in grams?\nAnswer: 0.000013263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -3*w**3\/8 + 135*w**2\/8 + 1533*w\/2 = 0.\nAnswer: -28, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/30*55\/(-77)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 6*c**2 + 18*c - 62. Let o be r(5). Suppose 2*p = s + 8, -2*s - o*s - 3*p = -12. Solve s = 2*z - 21 + 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 16362468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5792 and -981045.0622?\nAnswer: 975253.0622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (3510\/(-36))\/((-7)\/98)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u**2 - 18*u + 18. Let a be m(9). Let k be a + (-3 - (-4)\/2 - -3). What is the remainder when k*(-3 - 93\/(-15)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of a**2 - 1. Suppose 22*w - 17*w = 20. Determine x(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 - -24. Suppose 12 + b = 9*u. What is the third derivative of -40*i**5 + 4 + 13*i**u - 6 + 2 wrt i?\nAnswer: -2400*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 - -31 - (1 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 262*u**4 + 4*u - 14. Let r(t) = 523*t**4 + 9*t - 28. Let h(z) = -7*i(z) + 3*r(z). Find the second derivative of h(b) wrt b.\nAnswer: -3180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 312620 and 1740?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -869804 (base 14) to base 12.\nAnswer: -163a624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 32, 25, 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.6181 + -0.3181. What is the smallest value in 0, 112, n, -4\/7, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 9*m**2 - 13*m + 44. Let x be p(10). Differentiate -2*i - i**2 - 45 + x*i - 6*i + 15*i - 23 wrt i.\nAnswer: -2*i + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -55 - -54. Let c(r) = r + 4. Let k be c(f). Solve k + 0 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -233?  (a) -5  (b) -0.4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4\/9 + -7\/36. Is o bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 7*s**3 - 7*s**2 + 14. Let r = 235 - 236. Let i(g) = -g**3 + 2*g**2 - g - 1. Let q(b) = r*p(b) - 6*i(b). Determine q(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1590.4 and 1.\nAnswer: 1590.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5926 is divided by 81?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 11 = -4*r - 5*f, 4*f = 4*r. Let m(w) = 2*w. Let u be m(r). Which is the closest to u?  (a) -4  (b) 0.2  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 17 + 29 = 0. Which is the fourth biggest value?  (a) 4  (b) -19  (c) 1  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + 21. Suppose 0 = -65*s + 58*s + 189. Calculate the remainder when s is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5300 is divided by 155.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -8*j. Let m(b) be the first derivative of -7*b**2\/2 - 4789. What is h(m(i))?\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (11 - 11 + 16*j)*(-9*j + j - j)*(-j - j + 0*j) as l*j + v*j**2 + t*j**3 + i and give t.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 o, and 1 d when three letters picked without replacement from {f: 5, o: 4, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 2*m - 160, -x + 2*x + 5*m - 32 = 0. Let t = -4 - -7. Suppose 4 + x = t*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3262, -4798, -6334, -7870?\nAnswer: -9406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 - 10*l**2 - 2*l - 106. Let a(u) = 3*u**3 - 28*u**2 - 6*u - 319. Give 4*a(k) - 11*c(k).\nAnswer: k**3 - 2*k**2 - 2*k - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -28 + 4. Let d = -3 + l. Put d, 4, 10 in increasing order.\nAnswer: d, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/3))**19*h**(-11)*h*h*h*h**(-3)*h assuming h is positive.\nAnswer: h**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -12*p**2 + 2*p + 7*p**2 - 2 + 3*p**2. Give g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3581 - -5040. Let l = 3318 + a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-16))\/((-62)\/(-496))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 11*p - 2. Let w(c) = 25*c - 5. Let y(j) = 5*f(j) - 2*w(j). Let i(l) = -109*l**2 + 1. What is i(y(g))?\nAnswer: -2725*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/9 + (-84)\/135. Let y = -62 + 313\/5. Sort 0.3, h, y.\nAnswer: h, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + 2 + (-4)\/(-2). Suppose -g*c = -9 - 51. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 149, 386, 707, 1112?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 131322210 (base 4) to base 9\nAnswer: 206066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -175.8 - -154. Let i = u + -0.2. Let r = 21.966 + i. What is r rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.3 + 4. Let v = 2 + -6. Which is the nearest to -2\/5?  (a) 0  (b) y  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -10*u**3 - u**2 - 8*u - 10. Let z be b(-4). Suppose -z = -9*x + 209. What are the prime factors of x?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 3300396.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32614958 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23628.\nAnswer: 2, 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -11 + 2*h - 9 - 15. Let s be q(0). Let v = s + 107\/3. Which is smaller: v or 17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) - -5*((sqrt(76) + -4)**2 + sqrt(76))) + 2 + sqrt(2299) + -2.\nAnswer: -57*sqrt(19) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 = -g - 64. What is the closest to g in 5, 2\/13, 17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2320683148960.000088 + -2320694828578. Let l = s + 11679574. Let f = -44 - l. Round f to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*n - 11*n + 43*n + 6 - 7*n - 12*n.\nAnswer: 2*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2002*o**2 - 4222*o**2 + 2185*o**2.\nAnswer: -35*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 35*a**2 - 36*a + 68. Let j be c(34). Suppose -29*l + 24*l - 5*f = -370, j = 2*f - 4. What is the lowest common multiple of 80 and l?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11021 + -1201?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37901 + 37920. What is the remainder when 821 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000167583 to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 93*a**3 + 19 - 22 + 8*a - 94*a**3 to s + c*a**3 + z*a + n*a**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a - 18 = -2*s - 5*a, -4*s = 3*a + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/18*-2)\/((-5)\/300*-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -6 + 3 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 155*g**3*r**2 - 6*g**3 + 6327*g**2*r**2 wrt g.\nAnswer: 930*r**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -73*c**2 - 10. Let h(g) = -3*g**2 + 1906811*g - 1906811*g. Calculate x(h(b)).\nAnswer: -657*b**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.14 - -0.16. Which is the smallest value?  (a) -0.1  (b) -2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -7*g + 3. Let q be i(-4). Suppose 2*c + 2 = j - q, -j - 2*c = -21. Is j a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1196, 2 in descending order.\nAnswer: 3, 2, -1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 3*y - 8. What is the first derivative of -a - 6*a**y - 3*a + 4*a + 9 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -122 - -126. What is the smallest value in -3, i, 2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3627, -3373, -2709, -1437, 641, 3723, 8007, 13691?\nAnswer: 20973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 + -8. Suppose -54 = 4*t - p*t. Suppose -2*o + 22 = 2. Calculate the remainder when t is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34775969?\nAnswer: 34775969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -s - 4. Let r be 52 - (-4 + 0 - s). Let d = -44 + r. Solve 3*v - d = 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/35 - (-38)\/(-14). Let d = i + 2. Is 1 - d - (-40)\/2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 1 + 1\/3*u - 2\/9*u**3 + 1\/6*u**2. Determine m so that q(m) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*10\/(-8)*(-20)\/250*440\/(-64)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = -17561*b + 17556*b + 35, 0 = -20*b - h + 77 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7.5908 - -12.4767. Let y = -0.0459 + j. Round y to one decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 - 1)\/(8\/12). Solve -v - 2*v + 6 = 5*n, 8 = -z*n + 4*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 79 and 316?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/1379 and 52\/5817?\nAnswer: 1145949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eleven halves of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(-4)\/3 + 503 + 1. Let l = m - 191. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2 - 9*v - 3. Let p be i(10). Suppose 2*m = 1 - p. Is (-618)\/m*1\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5563749 to the nearest ten thousand.\nAnswer: 5560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.39 less than 2.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**4 - 24*h**3 - 988*h**2.\nAnswer: 4*h**2*(h - 19)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7 - ((0 - 14) + 0\/(10 - 5)). Solve -294*u + 287*u = -y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r**4 + 11 - r**2 - 10 - r**2 + r in the form i*r**2 + l*r**3 + w*r + y*r**4 + x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 29 times -0.1396\nAnswer: -4.0484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 4 + 0)*(0*u**2 - 3*u**2 + 5*u**2) + 0*u**2 - 4*u**2 + 2*u**2)*(-u**3 - 5*u**3 - 2*u**3).\nAnswer: 48*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 2*a - 4. Suppose 0 = 3*p + x + a, -4*p - 4 = 2*x + 10. Let v(y) = 1 - 3*y - y**2 - 3*y + 3*y. What is v(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 464 bigger than 16272\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 274609986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 395 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**2 - 7*z + 7*z + 2*z - 3*z**2 - 2*z + (-5 + 5 - 4*z)*(2*z - 5*z + z) + 8*z**2 + 0*z**2 + 6*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(64 + -4)*(-2 + (-8)\/(-6)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4147 - -4158. Let r = -6 + 10. Suppose k = r*k - 3. What is the greatest common factor of k and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(-288)*-18*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -24*d - 3. Let q(k) = k + 1. Let y(t) = 5*q(t) + u(t). Let x be y(-2). What is the greatest common divisor of 16 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6092 divided by 7\nAnswer: 6092\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*g - 953 = -2*n - 1045, n + 4 = g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39553 is divided by 319?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1.1  (b) 1\/5  (c) -6\/13  (d) -0.5  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.4 - -5.9. Sort m, 0.07, 3, -2.\nAnswer: -2, 0.07, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 5, -n + 104 = 5*a. Which is greater: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 496890641 to the nearest integer?\nAnswer: 22291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.33 - 2.2992. Round m to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 908420 and 8480?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**2 + 70*d + 75.\nAnswer: -5*(d - 15)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120*v + 116*v - 30 - 235*v.\nAnswer: v - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -9  (b) 125  (c) -0.14  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23898 is divided by 1689.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.43 in 2\/9, -2\/7, 86, -1, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -5, 2\/9, 2\/71?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28 - 741\/(-26))\/((-18)\/40)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 AM and 4:20 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -128 + 56. Let o be (-12)\/w + 115\/(-150). What is the third smallest value in o, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -e + -1f?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -248*y - 459. Give s(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 1:23 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y*y**(-2\/5)*y*y)\/y)\/y)\/y)**(2\/59)*(y*y\/((y\/(y*y**(1\/5)))\/y))**23 assuming y is positive.\nAnswer: y**(21708\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 465*x + 2 - 1057*x - 855*x.\nAnswer: -1447*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 8087b2 (base 14) to base 16\nAnswer: 4202b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*c + 4*c**2 - 2*c**2 + 2*c)*(6*c + 4*c + 2*c)*(0 + 0 - c) as t + g*c**4 + a*c**3 + y*c**2 + m*c and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r = 15*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 divided by 676?\nAnswer: 17\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46093 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + 4*i**2 - 2*i - 5. Calculate g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 913736983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u = 3*z + 317 - 310, u = -4*z + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 144036*y - 125480 wrt y?\nAnswer: 144036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 9:42 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -324247*b - 2752 = -324311*b for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - -3*sqrt(171)*4 - (sqrt(171)*-4 + sqrt(171))*-3)\/(-2*3*sqrt(324)*5).\nAnswer: -sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - y**2 - 2*y - 10. What is the smallest common multiple of f(-3) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of h**4\/6 - h**3\/6 - 3*h**2\/2 - 2*h + 32. Determine f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29538.33 minutes to hours.\nAnswer: 492.3055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8025.82t to nanograms.\nAnswer: 8025820000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -638\/15 + 551\/15. Let n(u) = -5144*u - 2. Let d be n(-2). Let c = -102761\/10 + d. What is the common denominator of c and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*3 + (58 - (-107555)\/(-1764)).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*q**2 - 26*q**2 - 23*q**2 - 137*q**2.\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54)\/(-30)*140\/(-42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -22295, -22217, -22129, -22025, -21899, -21745, -21557?\n\"Answer: m**3 - m**2 + 74*m - 22369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5\/3, 5, 4, 9, 18020?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -98*t - 384. Let c be m(-4). Let p(q) be the second derivative of 5*q**3\/6 + 5*q**2 + q. List the prime factors of p(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 77\/54 + 2\/27. Let h(w) be the first derivative of -w - 2 + b*w**2. Give h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 652224469 and 3627?\nAnswer: 5870020221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -1439122.1 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2273*s**2 - 4*s*t**2 + 30043*t**2 with respect to s.\nAnswer: 4546*s - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6139 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of -19 and 0.771.\nAnswer: -18.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t - 2*t - 8. Suppose -2*y + 34 = 5*w, -2*y + 5*y - w - 17 = 0. Is (-3)\/(y + t)*-501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -94 or 465756?\nAnswer: 465756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 61676 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66747108 divided by -3.\nAnswer: 22249036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of i**5\/60 + i**4\/8 - 5*i**3\/6 - i**2. Let x = 640 - 644. What is t(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and 16492558369.\nAnswer: 16492558368.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 15*b + 7. Let j be i(13). Suppose -r = -0*r - j. Suppose 2*f - r = 3. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 814, 614, -154, -1844, -4810, -9406, -15986?\nAnswer: -24904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of h**4\/12 - 8*h. Suppose -2*y = -15 - 3. Let t(m) = -2*m + m - y*m. What is c(t(d))?\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 215 + -105. Suppose 3*n + 5*p = z, n - 2*n + 39 = 4*p. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 234.2 - 233.2. Which is smaller: i or -958?\nAnswer: -958","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 21 = -5*f, 0 = 4*f + 5*k - 4*k - 17. Let w = 5 - 2. Let u be ((-1)\/w)\/(1 + -2). Which is the closest to u?  (a) f  (b) -3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151164 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20, -3, 40, 121, 252, 445?\n\"Answer: 2*w**3 + w**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -408\/266417 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -70*t**2. Let a(k) = 7*k**2 - 5. Let z(j) = -20*j**2 + 14. Let d(m) = 14*a(m) + 5*z(m). Determine d(b(v)).\nAnswer: -9800*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 + 81*f + 1718. Calculate h(71).\nAnswer: 2428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l + 1. Let g(t) = 11*t**3 - t**2. Let y be g(-1). Let a = -14 + 23. Let k be (y\/a)\/((-2)\/6). Calculate q(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-1\/3))**(-1\/2)*j**4*j*j*j**5)**(-22))**(-37) assuming j is positive.\nAnswer: j**(27269\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25*y**5 - 26*y**2 - 18*y**5 + 25*y**5 wrt y?\nAnswer: 1920*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v + 5. Let k(b) = 3*b + 8. Let m be (-1 - (-1)\/(-1))\/((-11)\/44). Determine m*h(a) - 5*k(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-22)\/36*-9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -48046755 and -48046745 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55884)\/2715031*(-22)\/(-4)?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5029 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8396 + 4583?\nAnswer: -3e13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -29183*t**2 + 21*t + 12. Let i be j(-4). Round i to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d**3 - 265*d**2 - 1818*d - 3096 = 0 for d.\nAnswer: -258, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3443*a - 311*a**4 - 3443*a)*(4*a - 3*a - 2*a) + 2*a**3 + 2*a**5 - 2*a**3.\nAnswer: 313*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 12*c**2 - 10 - 3*c**2 - 76*c + 75*c - c**3. Determine n(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4238 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1041 - 689. Suppose -2*p + v = -u, -3*p + 180 = -5*u - 362. List the prime factors of p.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**2 + 14*l**2 - 9*l**2 - 4*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - 49?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 g when four letters picked without replacement from grgwgrrgjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 26483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14.3 - -16. Let s = h + -1.69995. Round s to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -98528865*b**4 + 7*b**2 + 22428*b + 38 wrt b?\nAnswer: -2364692760*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3780 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 23133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 - 2*o + 3. Let c be k(-3). Let f(v) = -v**3 + v**2 - v + 5. Let d be f(c). Let a = -27\/70 - 3\/14. Sort d, a, -0.2.\nAnswer: a, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of x**5\/60 - x**4\/4 + x**3\/3 + x**2. What is the smallest common multiple of y(8) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - 0. Let r(h) = 2*h**2. Let c be r(b). Find the second derivative of -3*n**2 + 5*n**c + n + n wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 0*k - 3*k)*(3*k + k - 3*k) - 6080*k + 3035*k + 3040*k + 166*k**2.\nAnswer: 164*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2055 - 2057. What is the nearest to -1 in -3\/5, 0.5, 2\/9, a?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 238705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 19040\/3360*180\/17\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from llzzllzbzzl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x + 23 = 1. Suppose -x*r = -17*r + 6930. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128546 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - (-2)\/4*-2. Let l = 5 + j. Suppose 0 = -2*u + r + 2*r - l, -4*r = 5*u - 18. What is the remainder when 4 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {j: 2, s: 3, g: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*f + 245*f = 92*f - 3808 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38\/55 + -1103\/880. Find the common denominator of 109\/6 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14 - 0) + (-63 - -70)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v + 28. Suppose 4*y + 11 + 37 = 0. Let c be f(y). Calculate the lowest common multiple of -2*4\/c*-2 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 21.8 from -0.91.\nAnswer: -22.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -3*j + 18. Let v be q(5). Suppose -v*s = 2*s - 50. What is the highest common factor of s and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 - 7*x**2 - x - 59. Let l(p) = p**2 - 7*p - 8. Let v be l(7). Calculate the lowest common multiple of r(v) and -1 + 0 + (-22)\/(-2).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 9*q**2 - 8*q. Let d be s(8). Suppose -5*a = -2*m + 6, -a = 6*m - 10*m + 12. Let p = -188 - -200. Solve -m*z + d = p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 291 divide 123071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/2916 and 43\/55080?\nAnswer: 495720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 22 = -39*n + 37*n, 62*x = 3*n + 52*x + 31 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 976842.6 milliseconds?\nAnswer: 976842600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8639025132?\nAnswer: 2, 3, 719918761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y. Let v(w) be the first derivative of -5*w**2\/2 + 11. Determine r(v(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 + 34043850.\nAnswer: 34043851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 35 = -r. Let o be (2 + -4)*(-9)\/r. Let t = 97\/35 + o. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -5 + 2*(sqrt(325)*1*-2 - (sqrt(325) + 2 + -3 + sqrt(325))))**2.\nAnswer: 640*sqrt(13) + 20864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of -d**6\/15 - d**5\/2 - 3*d**4\/2 - 7*d**3\/3 - 2*d**2 - 272*d + 1. Factor t(m).\nAnswer: -2*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of ((-2)\/(-1))\/((8 + (-22668)\/2833)\/(-26))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -140, -169, -212, -269, -340, -425?\n\"Answer: -7*f**2 - 8*f - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 165 = -2*m. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + x - 1)*(3 + 2 - 4)*(-89 + 139 - 85) to the form m*x + v and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1312*v + 1469*v - 59*v - 439*v + 1430*v)*(3*v - 3*v - v**4).\nAnswer: -3713*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8297659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - -5)*1 - 0. Which is smaller: 8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-11\/3)\/(j\/j**(5\/2)) assuming j is positive.\nAnswer: j**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1408)*2)\/(sqrt(36)\/sqrt(2)).\nAnswer: 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -1, 3, 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4323519709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1031876.\nAnswer: 2, 61, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j**4\/3 + 1114*j**3\/3 + 85120*j**2\/3 + 322592*j\/3 = 0 for j.\nAnswer: -68, -4, 0, 1186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 AM and 9:46 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-44)\/(-6)*(7 - (-51)\/(-6)). Let i(g) = -g**2 - 17*g - 63. Let s be i(c). Solve -s*u = -0*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-7)\/6*13\/65*-15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - v = 15. Let q be (18\/7)\/(414\/966). Sort 0, v, q, -1 in increasing order.\nAnswer: v, -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*o - 4*o - 13*o to s + a*o and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-155)\/200 - (-6)\/16. Let a = -0.3 + 0.5. What is the nearest to u in a, 0.1, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 46 - 12. Let i = -45 - m. Let p = 19 + i. Solve 2*u + u + 6 = -3*b, 0 = -p*b - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17\/2 in 2, 1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2121 and 127.274.\nAnswer: -26.9948154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*w + 16501 = -165*w - w + 286 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*f = 3563 - 443 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y + 3*y - 3*y + (-2 - 2*y + 2)*(-121 + 8 - 93))*(0*y - y + 3*y) to the form s*y**2 + h*y + m and give s.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of r**6\/120 + 2*r**5\/15 + r**4\/12 + 7*r**3\/2 + 22*r**2. Let n be z(-8). Solve -n = -5*y + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (30\/6 - 0)*(17 + 0). What is the smallest common multiple of ((-34)\/v)\/((-2)\/40) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15960 and 4650?\nAnswer: 2473800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 - -3 - (12 - ((-4 + 35 - 6) + -14))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/7 + 1557*t**3\/7 + 91368*t**2 + 3674160*t.\nAnswer: t*(t + 45)*(t + 756)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yykykysr. What is prob of sequence kkr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6215\/2 > 3109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, k: 1, v: 5, i: 1, e: 2}. What is prob of sequence kdve?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24856 and 91752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 284 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -850, 56, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54 and 204?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 5:40 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.7 - -6.564. Let b = i + 5.436. Let m = b + -5.3000059. What is m rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21794, 21793, 21792, 21791, 21790, 21789?\nAnswer: 21788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10295 and 435?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*((w**6\/w)\/w)\/w)\/w**(-1\/6))**(4\/9)\/(w**(-5)*((w*(w**(-4\/9)\/w)\/w*w*w)\/w*w)\/w*w**0\/w**(-1)) assuming w is positive.\nAnswer: w**(170\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*w - 7 - 44 + 161 = 0. Let o(u) = -u**2 + 8*u + 11. Let h be o(9). Solve 12 = -3*v - 4*t, v + 12 = -h*v + w*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 16 + 2, 4*j = -d - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 632\/(-280) + (-39)\/65 + 12\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 11:31 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/((-1)\/(-2256)*4). Is q\/(-5) + (-8)\/(-40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5306 - -5357. Let i(f) = f**2 + 2*f + 4. Let q be i(4). Let z = q - 11. What is the highest common divisor of z and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 + -28. Let o be ((-12)\/h)\/(-4) - -2. What is the highest common factor of 11 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17196519.5 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 + 6744122*f**2 - 6744120*f**2 - 28.\nAnswer: 2*f**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + b)*(-3 - 1 + 0) + (4*b - 2*b - 4*b)*(1 + 0 + 0).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hjm when three letters picked without replacement from {s: 1, h: 1, m: 2, j: 9}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 13 = -3*t. Let x = -4 - t. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 205, 782, 1937, 3862, 6749, 10790, 16177?\nAnswer: 23102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*sqrt(130)*2)\/(4*sqrt(30)\/sqrt(27)).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 84694033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 192, 5\/3, 2, -1, -1\/101 in decreasing order.\nAnswer: 192, 2, 5\/3, -1\/101, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*c - 17*c = 8*c + 102 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1698 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1190470335 by 2092215.\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10, g: 10}. Give prob of sequence gg.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*w**2 - 11*w - 13*w + w**3 + 25*w)*(3 - 3 - w) to the form d*w + r*w**3 + a + u*w**2 + k*w**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/(-5))\/(-6) + 822\/(-15). Let n = j - -61. Calculate the highest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d - 197. Let k(s) = 21. Let c(l) = 9*k(l) + m(l). Give c(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of 0 + 0*q + 1\/336*q**8 + 0*q**3 + 11\/70*q**7 + 31\/120*q**6 - 11\/20*q**5 + 4*q**2 - 4\/3*q**4. Let c(b) = 0. What is b?\nAnswer: -32, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*i - 2175 = -5*i + 2825 - 550 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 + 8*o - 3. Let u be a(7). Let l(y) = y**2 - y - 15. Let q be l(5). Suppose -15 = q*z, -u*x = x + z + 2003. Round x to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 539.277 + -539. Let b = z - 0.067. What is b rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2087.315619 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 2*y**2 - 2*y + 1. Suppose 5*f = 2*m - 98, 4*m - f = 251 - 55. Let k = -26 + m. Suppose -2*a + 10 = 0, 5*a - k = -d + 4. Calculate u(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**3 - 19*o**2 + 11*o**2 + 8*o**2 + 4*o**3 - 3*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**2 + 66370*m - 141558312 = 0. What is m?\nAnswer: -35196, 2011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 27 = -5*j, -3 = 3*y - 0*y + 5*j. Suppose 4*l + 8 = -4*p, -p = -y*p - 12. Suppose -101*o + 914 = -601. Solve -3*a = l*a + o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -390*b - 27. What is v(-1)?\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115202803.\nAnswer: 115202803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3 = 2. Let u be -10 + (d\/1 - -1). Let p be ((-2)\/(-8))\/(2\/u). Which is the second biggest value?  (a) 0  (b) p  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 12) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.12 - 4.88. Let t be (-2 - 96\/(-40)) + 44\/(-10). Which is the nearest to 0?  (a) r  (b) t  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - j = 0. Suppose -5*a - a + 30 = 0. Suppose j = -p + a*p - 352. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 142, 293, 498?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 3*t - 16. Let b be o(6). Let k(f) = -f + 2*f + 6 - 4*f - f + f**b. Let l(a) = a**2 - 17*a - 106. Let j be l(-5). Determine k(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 0)*((38 + 21 + 6)*(-4 + 2 + 0)*(3 + 0 - 4) + 5 - 1 - 2)*(-2*x - 3*x + 3*x) in the form w*x + s and give w.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.78 - 0.02. Let a = -0.18 - -1.28. Let b = a + n. Round b to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1974, 1927, 1878, 1827, 1774?\nAnswer: 1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 94480 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, -0.3, -0.4, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -u + 12, -2 = u + 5*a - 14. Calculate the remainder when 6\/4*-2 - -25 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134935583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r**3 + 3*r**2 - 5*r + 5. Let p(h) be the third derivative of -h**5\/60 - h**4\/24 + h**3\/6 - 20*h**2 + 38*h. What is 5*p(n) - x(n)?\nAnswer: -2*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -175 divided by 37.\nAnswer: -175\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -424, -3, 8, -10, 7 in decreasing order.\nAnswer: 8, 7, -3, -5, -10, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1748565 times 3.1?\nAnswer: 0.54205515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 30  (c) -22  (d) -324  (e) -2\/5  (f) -4\/3  (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w + 6*w - 6*w + 2859*w**3 - 2867*w**3 - 4*w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2224*p + 2256*p = -544 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.9 + 0.8. Let u = 0.068 - 0.168064. Let z = y - u. What is z rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(2\/(2 + -1)). Suppose 0 = -p*m - 4*m. Which is the third smallest value?  (a) m  (b) -2  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/(-8) + 9 + (-5)\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 405*z**3 + 360*z**2 + 80*z.\nAnswer: 5*z*(9*z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/39744 and -97\/12?\nAnswer: 39744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand h - 2*h**3 - h + (1 - 2*h**3 - 1)*(2 + 1 - 2) + h**3 + 0*h**3 + 5*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -41.281 to 1 dp.\nAnswer: -41.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 1\/10  (b) -0.04  (c) -0.03  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/24395 and -31\/78.\nAnswer: 1902810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - 15*h**2 - 399*h + 1120. Calculate t(-18).\nAnswer: -2390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6938383 times -7?\nAnswer: -48568681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 3*u**2)*(2*u + 0*u - 4*u) + 2*u - u**3 - 2*u + (3 + 4 - 1)*(5 - 3 + 0)*(u**2 - 2*u**2 + 0*u**2)*(-2 - 3 + 3)*(-14*u - 11 + 11).\nAnswer: -331*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101111011001010 - 100?\nAnswer: 101111011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52440591.\nAnswer: 3, 7, 1451, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 5:14 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 - -18.8. Let s = v - 0.8. Which is the closest to 2\/5?  (a) -0.6  (b) 3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2*a**3 - 178*a**2 - 300*a + 4171. Determine m(-87).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 1995\/14 + (18\/(-4) - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((((f\/f**(-17))\/f)\/f)\/f)*f**(-44)\/f)\/(f**(-40))**(-2\/65) assuming f is positive.\nAnswer: f**(-783\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -0.4, 2, -0.6, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 r when four letters picked without replacement from {b: 1, t: 1, x: 3, r: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 12:49 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15000 = -326*w - 153*w + 104*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 9315161 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 7*g. Let m(w) = -10*w + 92153. Calculate m(p(q)).\nAnswer: -70*q + 92153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 120771499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -3*m**2 + 2*m - 2. Let w(g) = -g**2 + g - 1. Let f(k) = 2*w(k) - y(k). Let i(x) = -4*x. Give i(f(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 12185, -5, 10, -2, 2, 30 in ascending order.\nAnswer: -5, -2, 2, 5, 10, 30, 12185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 209142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, u: 7}. What is prob of picking 2 u and 1 g?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) -0.4  (b) -6  (c) 2721  (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/4, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*h*r**2*u**2 - 24*h*r + 484*h*u**2 + 2*h + 28*r**2*u**2 - 10428*r**2 - r*u - 4*r - 2*u**2 wrt r.\nAnswer: 14*h*u**2 + 56*u**2 - 20856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2567\/3837 - 3\/1279. What is the nearest to 5 in 35, l, -5, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 4*r**4\/3 + 1688*r**3 + 5044*r**2\/3 - 6752*r - 20240\/3 = 0.\nAnswer: -1265, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-2)*520\/156.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1386421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*r**3 + 4*r**2 + r**3 - 326*r - 250*r - 14*r**3 + 31*r**3.\nAnswer: 2*r*(r - 16)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 860, 2197, 3538, 4883, 6232, 7585?\n\"Answer: 2*b**2 + 1331*b - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 2*i + 3. Let v be b(2). Suppose -4*c - 4 = -3*f, -2*c - 2*f + v*f = 0. Is 18 a factor of 17*2 - (0 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 168411895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/350 and 94\/8235.\nAnswer: 576450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j**3 + j**2 - 2*j. Let a(h) = -h**2 + 19*h + 9. Let k be a(19). Suppose -k - 3 = 6*r. Calculate w(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 411 divide 393596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -k + 9. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-10) + (-276)\/(-30). Let v be (52\/(-12))\/((-1)\/r). Calculate the remainder when 65 is divided by (-2)\/(-3) + 832\/v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6\/5  (b) 1\/3  (c) -250\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + d?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43613\/3605 + 3\/1442. Calculate the common denominator of p and -47\/171.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -747*u + 107*u - 31270 + 8109 = 367*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 4 = -1. Suppose s = -y - 2. Let w be s\/(-12)*(11 - -1). Solve 0 = -4*b - 19 + w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11011 - 51751 = -4*x. Suppose 5*i - 4*y = x, y = -3*i + 6*i - 6118. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s + 10. Let h be l(-7). Let w be (90\/1)\/((-44)\/15 + h). Suppose -13*f = -23*f + w. Calculate the greatest common factor of f and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 176835, 175960, 174503, 172464, 169843, 166640?\nAnswer: 162855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from ctsttttrt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 2*f = 3, 2*f + f + 7 = u. Find the first derivative of 10 + 0*s**2 - 1 + 5*s**2 + u wrt s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0005033498114 rounded to 5 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*f - 4005 = -3605. Let h be (0 + 3)*9\/(-27). Let v = h + 7. Calculate the remainder when f is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 (base 8) in base 7?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -130 by -3772462.\nAnswer: 65\/1886231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 79776523 to the nearest integer?\nAnswer: 8932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -524, -525, -536, -563, -612?\n\"Answer: -z**3 + z**2 + 3*z - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**2. Let m = 125 + -183. Let p = 60 + m. Let r(a) = -3*a**2 - 2. Let x(s) = -7*s**2 - 5. Let b(v) = p*x(v) - 5*r(v). Determine b(t(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -216 - -221. What are the prime factors of 1*-4*(v + -4) - -24?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/82250 and 19\/54.\nAnswer: 2220750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*q = -0*q + 2129, -4*q = g - 2139. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - j - 13. Let y be o(5). Suppose -y*q + 220 = -11. What is the remainder when 128 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 144.\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 7:12 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3148 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -12 - ((-16 - (2 - 16)) + 7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -966441330 to the nearest one hundred thousand.\nAnswer: -966400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -1360*b + 25. Let g be ((-4)\/(-10))\/(9\/(-135)). Is h(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 55*g**2 + 109*g - 54. Determine a(53).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: 760 + -85616\nAnswer: -84856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -64884586\/114695 + -2\/16385. Let k = n + 571. Find the common denominator of 5355\/140*(-4)\/(-18) and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*y**3 - 17*y**3 + 17*y**3 + 15*y**3 - y**2 in the form a*y**2 + x + v*y**3 + n*y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 3) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*i**3 - 2*i**3 - i**3 + 14*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 266, 69, -130, -331?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3557, 3559, 3561?\nAnswer: 3563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -369802, -739600, -1109398, -1479196, -1848994, -2218792?\n\"Answer: -369798*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q**2 - 4*q + 6. Let k = 17 - 27. Let v = k - -11. Let t(j) = -j + 1. Let m(y) = v*u(y) - 6*t(y). Factor m(p).\nAnswer: -2*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 5*z**2 + 3*z - 3. Let a be 20\/6*(-27)\/(-18). Determine i(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -301012111330 (base 4) to base 8\nAnswer: -61062574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1439026 rounded to the nearest ten thousand?\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-42))\/((-138)\/(-828))*(-3)\/15?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 z when three letters picked without replacement from {h: 1, v: 2, y: 1, m: 2, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 214971 is divided by 711?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 818162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -13106 (base 8) to base 2\nAnswer: -1011001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*h + h - 50*h**2 + 21*h**2 wrt h.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30.8 - 8.8. Let f = p + -22.2. Which is the smallest value?  (a) 1  (b) f  (c) 1\/3  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 - -54. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/262926467 and -55\/1688?\nAnswer: 2103411736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i + 11. Let a(w) = -3*w + 17. Let s(g) = -g**3 + 3*g**2 - 4*g + 4. Let h be s(3). Give h*t(u) + 5*a(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 88, 196, 304, 412, 520?\n\"Answer: 108*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -534834 less than -868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ylyyegi. Give prob of picking 1 l and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2884?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 1 + 2)*(18 - 18 + g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of w**7\/1155 + w**6\/30 - 5*w**5\/22 - 59*w**2 + 11*w. Factor b(j).\nAnswer: 2*j**2*(j - 3)*(j + 25)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 599*t**3 - 12*t + 7. Let l(x) = -199*x**3 + 4*x - 2. What is 7*l(d) + 2*w(d)?\nAnswer: -195*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 12:38 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 123 = -2*d + 4*c, -2*c = -4*d + 238. Let o = d - 53. Suppose 2*n = 6*n - 32. What is the smallest common multiple of o and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**(-1\/7)*j\/(j\/(j\/j**(-5\/12))) assuming j is positive.\nAnswer: j**(215\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04613 in -1, -3\/7, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/15  (b) 2  (c) -2  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/2*o**5 + 9\/2*o**2 + 3\/2*o**4 + 15\/2*o**3 + 0*o.\nAnswer: -3*o**2*(o - 3)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqovovoqqlo. Give prob of picking 1 o and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 5*k - 6. Let j be l(3). Suppose 2*f + 5*f + 14 = j. Sort f, -1, 3, -3 in decreasing order.\nAnswer: 3, -1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 30\/1021 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 571547729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 - -0.3. Suppose -4*m + 15 = -0*a - a, -11 = -4*m + 5*a. What is the smallest value in m, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -245, -1049, -2455, -4457, -7049?\n\"Answer: y**3 - 307*y**2 + 110*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/84*(-1)\/(2\/6). Is 1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-19)\/((-209)\/22) - -1249 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1687608445 to the power of 1\/2, to the nearest integer?\nAnswer: 41081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g*g**(3\/2))\/g))\/g*g*g)\/g**(-22)*g*g*(g**(-13)*g)\/g*g*g**(2\/61) assuming g is positive.\nAnswer: g**(1529\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 50\/7 of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 3 = 2*x. Suppose -4*h + 4*d - 4 = 0, -x + 0 = h + 5*d. Is 5 a factor of h + 51 + -1 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97878 - 22353 = -1007*d for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -104\/9, 1, 15, 26, -4 in descending order.\nAnswer: 26, 15, 1, -4, -104\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.398?  (a) -23  (b) -89  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of -u**5 + 0*u**4 + 7\/3*u**3 + 0 - 7*u**2 + u. Let a(d) = -2*d + 5 + d**2 + 7*d**3 - d**2 - 3*d. What is -14*a(m) - 5*y(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/9 + 3 + 58\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*a + a**2 + 1936 - 1936 wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 465 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95570.\nAnswer: 2, 5, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*r**6 - r**5 + 7*r**2 + 5 wrt r.\nAnswer: -2760*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 5*c = 0, 2*i + 14 = 3*c + 14. Solve -16*o + 35 + 29 = i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 75205\/3439251 + -33\/1453. Let q = 11831\/4734 - k. Let h = 0.1 - -0.1. Which is the second smallest value?  (a) 5  (b) q  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001659 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 298, -1, 0, -3, 2\/15, 1 in decreasing order.\nAnswer: 298, 36, 1, 2\/15, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -71?  (a) 0.1  (b) 5\/3  (c) -149  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 854 != 4266\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*r - 92*r - 109*r = 600 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 805505440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 981634?\nAnswer: 2, 467, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2045*j**3*p + 133666704*j**3 - 2*j**2 + 21759*p - 1 wrt p.\nAnswer: -2045*j**3 + 21759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = 23*t - 24*t - 10, 0 = 5*t + 3*b - 34 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 162\/243*3\/(-2). Is q < -41\/208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01*4083.346.\nAnswer: 40.83346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g + 739 = -661. What is g rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 210289231?\nAnswer: 79, 109, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -1. Let f = -21892 + 21892. Which is the closest to f?  (a) -0.5  (b) -0.14  (c) n  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23 - -14. Calculate the smallest common multiple of 1 - -2*(-10)\/(-2) and ((-15)\/9)\/(3\/h).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c7624 + -1?\nAnswer: c7623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8848.755 centimeters to millimeters.\nAnswer: 88487.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 1)*(2*i + 0*i - i) + (0 - 3 - 2)*(12 - 12 - 16*i) to the form d*i + l and give d.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -2. Suppose 0 = 3*r + 1 + v. Let y(u) = u**2 + u + 1. Let i(j) = -4*j**3 - 4*j**2 - 2*j - 3. Let d(c) = i(c) + 4*y(c). Determine d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5  (b) 52  (c) -0.5  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from {f: 3, n: 2, p: 5, e: 1, x: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let r be (-30)\/20*(2 - 1). What is the nearest to 2 in 10, r, -0.5, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (377 - 354 - (-1 + 14)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (160\/(-512)*40)\/(((-1980)\/(-16))\/(-9)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o - 9. Let u be c(-6). Let x = u + 5. Find the third derivative of -4*m**x - 3*m**2 + 3*m**2 + 2*m**6 wrt m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1434 + 3893. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + (5*sqrt(1573))**2 + sqrt(13) + (sqrt(13) - (sqrt(325) + -1)).\nAnswer: -2*sqrt(13) + 39326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 16*m**2 - 3*m - 16. Let a be r(-16). Let l = -32 + a. Suppose l = -3*b + 12*b - 360. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -22 - 6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -25154153412 - 0?\nAnswer: -25154153412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138, -139, -142, -147, -154, -163?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -23*r**2 + 18*r**2 - 142*r**3 + 141*r**3 + 7. What is n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -293, -1715, -5131, -11399, -21377, -35923, -55895?\n\"Answer: -143*z**3 - 139*z**2 - 4*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -21, 5, -4, 6 in ascending order.\nAnswer: -21, -4, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -989.3 and -1512.\nAnswer: 1495821.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3767 + 8994 - 1001 = -1102*l - 7896 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2. Let v(g) = -2 + 0 + 0 - 3*g + 1 + g**2 - g. Let s(o) = 6*o**2 - 14*o - 4. Let h(x) = -s(x) + 4*v(x). Calculate h(t(y)).\nAnswer: -8*y**4 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 334 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = 5*r + 96. What is the smallest common multiple of r and 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-100)\/(-7))\/((-22)\/(-77)). Suppose -12*m = -17*m + n. Suppose 11 = -2*k - 5*h, 4*h + 0 = -k - m. Calculate the greatest common factor of 18 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 112 = -5*z. Suppose -4*r + 100 = -5*r. Let y be (64\/10)\/((-10)\/r). What is the highest common divisor of y and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 4. Let r = 32 + -29. Solve -24 = -i*n + 2*n + r*p, 5*n - 3*p - 34 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 10*r**2 - 11*r - 6. Let a(k) = -k**3 + 9*k**2 - 10*k - 5. Let c(y) = -4*a(y) + 3*l(y). Let m be c(5). Suppose m*j - 89 = 331. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 7 = -3*j, 5*j + 4*x - 4 = 5. Suppose 11 = -j*l - 9. Let s be 5\/(10\/l) - -5. Solve c - s*c = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 441488 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6754229?\nAnswer: 47, 131, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 12\/11  (b) 2.7  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14087091?\nAnswer: 3, 373, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-3)*(-7 - 4). Let i(z) = -z**3 + 1. Let c(f) = -10*f**3 - f + 11. Let o(g) = p*i(g) - 2*c(g). Find the second derivative of o(y) wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5, 3, 0.3, 7\/8, 1, 2\/15, -158?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/4)\/((-45)\/4). Suppose 0 = 3*i - a + 13, 2*a - 3 = i + 3*a. Sort 11, -1\/10, x, i in increasing order.\nAnswer: i, -1\/10, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56 + 34. Let c = l + 35. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1812, -1047, 226, 2007?\n\"Answer: 254*w**2 + 3*w - 2069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -2205.62 to the nearest 10.\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-50637 + 28176 + 30638)*(2*f - 4*f - f) as a*f + s and give a.\nAnswer: -24531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -4. Suppose 0 = 2*z - f*z - 3*k - 17, 0 = -2*z + 5*k + 27. What is the closest to -1 in 6, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 12473353 - -4?\nAnswer: 12473357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1677253.\nAnswer: 1677253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 603.9504 centuries?\nAnswer: 6039.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 35.62065\nAnswer: 10.686195","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 25*f - 2. Let t be i(-2). Let z be t\/(-39)*(-1 - 2). Which is the closest to 1?  (a) 1  (b) z  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 5\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2874461168.\nAnswer: 2, 179653823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/6 + -2 - 1288\/(-672)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -47586, -95052, -142404, -189642, -236766?\n\"Answer: 57*c**2 - 47637*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 5*m + 118 = 33, 0 = 5*v - 2*m + 59. Which is the nearest to 11\/4?  (a) -4  (b) 5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0*(14\/(-4))\/(-7))\/(-2). Put o, -5, 5 in ascending order.\nAnswer: -5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10400 * 0.5\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 495410 - -1?\nAnswer: 495411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 3*x**3\/5 - 22937*x**2\/5 - 4588*x = 0.\nAnswer: -1, 0, 22940\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 - 9*h - 3. Let d be b(-9). Suppose 0 = -a + 2 + 4. Let t be (20\/15)\/((-4)\/a). Sort t, d, -0.3 in descending order.\nAnswer: -0.3, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 677425 and 2205.\nAnswer: 6096825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u + 6. Calculate the remainder when 15 is divided by b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5230.31002 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z - 5. Suppose 3*a = 2*a + 4*k, 5*a + 4*k = 96. Suppose -2*o - a = 3*n - 2, -4*o - 28 = 5*n. What is the units digit of u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t + 4. Let w(n) = 2*n + 5. Determine -4*d(f) + 3*w(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-10) + 6\/30. Suppose -4*m - 3*r + 7*r + 28 = u, -m = -5*r - 19. What is the first derivative of 9 - 3 + 0*w**4 + 7*w**m - 3*w**4 wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 26 = 2*k, -85*p = 2*k - 81*p - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5754412 and 678?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -4*h + 1 + 15, -3*d = 3*h - 12. Suppose -5*x - 105 = -5*l, -x - 22 = h*l - 126. Let m = l + -17. What is the lowest common multiple of m and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 982*l + 2959. Let c be y(-3). Solve k = -r, -c*r = -4*k - 8*r + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 10:36 PM?\nAnswer: 201","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.08, 4457.3, -870?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 175, 659, 1471, 2617, 4103, 5935, 8119, 10661?\n\"Answer: y**3 + 158*y**2 + 3*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 99432000\/(-108)*(-1 - -13). Round u to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of g**5\/35 + 2*g**4\/21 - 2*g**3\/21 - 4*g**2\/7 - 3*g - 153. Find s, given that l(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - (-95)\/20)\/((-2)\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11, -52, -91, -128, -163, -196?\n\"Answer: n**2 - 44*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -57011 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -146, -178, -222, -278, -346, -426, -518?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a - 3*q + 19, 219*q = 4*a + 224*q - 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -2. Let w = 32 + -21. Let q be 245\/77 - 2\/w. Solve -u + q = -i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - 2*(sqrt(13) + (sqrt(13)*2)**2 + sqrt(13))) + 1 - (((-1*sqrt(13) - sqrt(13))*-3)**2 - ((sqrt(637)*2)**2 - sqrt(13))).\nAnswer: -4*sqrt(13) + 1977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 3*v**2 + 3*v + 1. Let n(k) = k**2 - 7*k - 11. Let y be n(8). Let g = -5 - y. What is f(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2848 - -2854. What is the closest to c in -3, 0.1, -1\/27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54 - -56. Let i(k) = 2*k**2 - k - 2. Let z be i(p). Find the first derivative of -18*u**3 - u**3 + 3 - 4*u**3 + z wrt u.\nAnswer: -69*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of 0*p + 14\/3*p**3 - p**7 + 0*p**5 + 0*p**4 + 0*p**2 + 0*p**6 + 1. Find the third derivative of b(m) wrt m.\nAnswer: -840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6596.025 + -6685. Let a = -89 - o. Round a to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1217*h**3*l**3 - h**3*t + 5*h**2*l**2 - 224*h*l**3*t + 3*l**3 wrt h.\nAnswer: -7302*l**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 765 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50*l**3 + 3*l**4 - l**4 - 1 - l - 51*l**3 - 4*l**2 to a + i*l**3 + m*l**2 + x*l**4 + b*l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 + 526*o + 34490. Give h(-59).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/272 and 75\/26.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*z - 52 = 43*z. What is the closest to z in 0, -1\/7, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 6 - -6 - (-1 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 12, 1, -44, -135, -284, -503?\n\"Answer: -2*a**3 - 5*a**2 + 18*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 542 + 13186 = 16*g. What is the least common multiple of g and 20?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -94160, -188317, -282472, -376625?\n\"Answer: i**2 - 94160*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30642 is divided by 766.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 15 times 0.5\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*y + 4*j + 64 = -58*y, 2*j + 14 = 0. Let r be 4\/6 - 44\/(-6). Let c(p) = r*p + p + p - y*p. Let o(w) = -77*w. Determine c(o(g)).\nAnswer: -77*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 419 - 419.00381. What is u rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*f = -156*f - 1932 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/7  (b) 5  (c) -48  (d) 6\/7459\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 536*n**2 + 543*n**2 - 1620*n**2 + 531*n**2 - 445*n + 1 to the form r*n**2 + x*n + d and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-4) + 56 - (-3)\/(-3). Calculate the greatest common divisor of 36 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 5*r - 47 = 0, 0 = -v - 4*r + r + 37. Suppose -68 = -5*m + v. Let y be -1*(-1)\/(-3) - 210\/(-90). Calculate the highest common divisor of y and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*p - 1907 = -752. Calculate the greatest common factor of 21 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1484, -1493, -1514, -1553, -1616, -1709, -1838, -2009?\nAnswer: -2228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -382*g + 217 + 165 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/30 and -19\/7188?\nAnswer: 35940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 11 + 16 = 0. Let u(w) be the first derivative of -8\/5*w - 2\/15*w**3 - v + 4\/5*w**2. Let u(m) = 0. What is m?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + -2 - sqrt(8)*-1)**2.\nAnswer: -56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -71 - -120. Let g = j + -46. Suppose y - 8 - 7 = 4*z, 5*z + 10 = 3*y. Which is the second smallest value?  (a) y  (b) 5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1*(sqrt(76) + 1) - sqrt(76) - (sqrt(76) + -1 + 3)) + sqrt(76) + 2 + 0 + (0 + (sqrt(76) - (sqrt(76) + sqrt(76) + 2)) - sqrt(76))**2.\nAnswer: 16*sqrt(19) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - -33.69?\nAnswer: 18.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 31, 36, 37, 28, 3, -44, -119?\n\"Answer: -r**3 + 4*r**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x + 9. Let r(n) = -n + 20. Let m be r(13). Let p be d(m). Factor 6*s**4 + 3*s**2 - 3*s + 5*s**5 - 9*s**2 - p*s**5.\nAnswer: 3*s*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 113 = 7. Let j = -24 + m. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 3, c: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 z, and 2 y when four letters picked without replacement from yyyyeyyzyezyeyaeyyy?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*n - 41*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3077152 and 754?\nAnswer: 89237408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 15 = p, 5*u + 16 - 1 = -5*p. Let m(g) = 2*g + 2. Let t(q) = 3*q + 2. What is u*m(n) + 3*t(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 395516 and 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(75)*6*1.\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**2 + 4*o**2 - 5*o**2)*(-380*o**3 + 10882*o**2 - 10882*o**2).\nAnswer: 380*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73414 is divided by 24468.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that n**2\/5 - 20*n - 2684\/5 = 0.\nAnswer: -22, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 not equal to 28\/1693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, t: 3, z: 1, i: 1, o: 1}. What is prob of picking 1 z, 1 t, 1 i, and 1 u?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13418370 + -20388370. What is u rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 675, 3, -2\/7 in descending order.\nAnswer: 675, 3, 0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3095, 3097, 3099?\n\"Answer: 2*a + 3093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 1015*z**2 - 4*z - 4. Let v be q(-4). Suppose -v + 3027 = -5*s. Suppose -5*k + 5*t = 6675, 2*k = -2*t - t - s. Round k to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of 9*l**5\/5 + 2*l**3\/3 + 137*l**2 - 298*l. Differentiate j(n) with respect to n.\nAnswer: 108*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47 divided by -93.\nAnswer: 47\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -225.4859 rounded to one decimal place?\nAnswer: -225.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 57, 75, 77, 57?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 2:16 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.33 at least as big as 35440\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -51, 332, 97 in decreasing order.\nAnswer: 332, 97, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -75966\nAnswer: -5\/75966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -811796 or -811808?\nAnswer: -811808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 63, 101, 139, 177, 215, 253?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**3 - 27804*x**2 + 445440*x - 1782528.\nAnswer: -3*(x - 8)**2*(x + 9284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/7 - 209864*s\/7 - 3568266\/7.\nAnswer: 2*(s - 104949)*(s + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2197.7 rounded to the nearest 10?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40 + 44. Suppose -2*l = -3*i + 5, -i + 5*l = -2 - u. Let y(o) = -3*o. Determine y(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 1  (b) 1\/4  (c) 2\/239  (d) -59  (e) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5\/5)\/((-3 + 5)\/(-2)). Sort y, -6, 7, -2 in ascending order.\nAnswer: -6, -2, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 33*x**3 - 2*x**2 + x. Let q be f(1). Let n = q + 2. Suppose -3*z - 3*w + 11 = -34, 2*z + 4*w = n. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2706*h - 32141 = 11155 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 33125819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -1\/6*q**4 + 0*q**3 + 2*q + 1\/10*q**5 + 0*q**2 - 1. Let p(g) be the first derivative of n(g). Solve p(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/37)\/(z**(3\/2)*z*z))\/(z\/z**(2\/23)*(z**6*z*z*z*z)\/z) assuming z is positive.\nAnswer: z**(-22737\/1702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o + 72 = -6*o - 3*w, 2*o - 3*w - 47 = 0. Solve -o*f + 2 = -26*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 489 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 388.55 or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-75)\/(-2250)*-12)\/(2\/(-165)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-546)\/(-195))*(-6)\/5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 15*h**2 + 25*h + 121. Let n be t(-5). Let p = n + -361. What is the smallest common multiple of 40 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*l + 14 = -8*l. Suppose -4 + l = -d. Solve -3*i - 2*u = 3, d*i + 1 + 0 = -u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 7 = -9. Suppose 4*k = -k - n*i + 64, 5*i + 29 = k. Does 4 divide 4\/k - 165\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**5 + 2*z**4 - 24*z**3 + 8*z**2 + 32*z.\nAnswer: 2*z*(z - 2)**2*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 67 and 1279.\nAnswer: 85693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*r - 187 = -219 + 307 + 206 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*u**2 + 7 - 4*u**2 + 6*u**2)*(2*u - 2*u + 2*u) - 12*u**3 + 3*u**3 + 3*u**3 - 2 - 2*u to t*u + d*u**2 + a + k*u**3 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 47*g**2 + 129*g. Let a be f(-3). Solve 5*p + 15 = 5*b, -40*b - 4*p + a = -38*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.3?  (a) -0.3  (b) -201\/11  (c) -5  (d) 5\/6  (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.31 + -0.41. Put 1, y, -1, -2\/11 in decreasing order.\nAnswer: 1, y, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 34 = 4*s - 3*d, 0 = s + 5*d + 11. Suppose s*m - 9 = 2*b - 37, -42 = -3*b - 5*m. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5103900507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10\/(-18) - (-4 - 20\/(-6)). Let p = 1.24 + -1.24. What is the nearest to p in -3, x, 1, -16?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -843*n + 844*n + d + 18 = 0, -2*n + 2*d = -24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r**3 - 4*r**2 - r + 4. Let y(f) = 5*f**3 + 7*f**2 + f - 7. Let n(v) = 3*y(v) + 5*z(v). What is the hundreds digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8.1 + 4.1. What is the third smallest value in a, 129, 0?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 101268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -7*g - 4*g + 8*g - 3*g + 16. Let u be h(3). Calculate the remainder when 21 is divided by (9\/u)\/((-9)\/24) + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*x - 42 = -59 - 67 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, 16 in descending order.\nAnswer: 16, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14654616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 321284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 11, t: 2, f: 1, i: 2}. Give prob of sequence tfp.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 3*p - 15 = -129, -5*p + 2602 = -a + 2780 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*w**3 + 45*w**2 - 45*w**2 + (-39*w - 32*w + 59*w)*(2*w**2 - w**2 + 0*w**2).\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -18, 15.\nAnswer: -18, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2178d6 (base 14) to base 3\nAnswer: 2010122222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -329*g - 38 + 635*g - 323*g - g**2. Let c be y(-3). Solve c*i + 15 = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of i**5\/15 + i**2. Let d(k) = -3*k**2. Calculate x(d(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 3:33 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9.07 - -9. Let x = q + -0.23. Let v = -4 - -4.1. Put x, v, 0.3 in decreasing order.\nAnswer: 0.3, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 5:35 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-29)\/(-3) + (-105)\/63. Let q(l) = l**3 - 3*l**2 - 2*l. Let x be q(5). What is the greatest common factor of s and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12116057, 24232095, 36348133?\n\"Answer: 12116038*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -223*q + 228*q - d - 21, 2*q + 2*d = 6. Let j = -3 + 5. Solve -q = v - j*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(35\/(-8)))\/(27720\/(-24750))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 3\/9 + (-71)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + 4 + -8 + 4. Let u be 52\/(-84)*(d - 5). Factor -2\/7*j**4 + 24\/7*j - 8\/7 + 12\/7*j**3 - u*j**2.\nAnswer: -2*(j - 2)**2*(j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -119264936 divided by 217.\nAnswer: -549608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -118 + 99 - (-4 - 22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -48*p**2 + 13*p**2 - 2*p**2 - 165*p - 159*p + 314*p - 4*p**2 + (-1 + 3 - 1)*(0*p**2 - 4*p**2 + 2*p**2) + 3*p**2 - 4*p**2 - p**2.\nAnswer: -45*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/9)*u*(((u**(-5)*u)\/u)\/u)\/u*u)**(-13)\/((u**2*u)**14)**(-40) assuming u is positive.\nAnswer: u**(15731\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 5*s + 18 = 0, y - 2*s + 12 = -y. Let o(d) = d**3 + 7*d**2 - 7*d + 8. Let z be o(y). Solve z = 5*n + 3*a - 23, 2*n + 14 = 5*n + 2*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -230*f + 11048. What is p(48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w - k + 11, -146*w + 150*w + k = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-2)*(-18 + -1). Let f be (-1)\/(-4) - 3486\/(-8). Let j = -227 + f. Calculate the highest common factor of a and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 75 = -24. Suppose -22*c + h*c + 104500000 = 0. What is c rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12a535 (base 11) to base 10\nAnswer: -204286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 6*x**2 + 4*x**2 - 6*x**2 - 1 + 3*x. Let s(v) = 53*v - 9855. Let n be s(186). Let a(o) = 5*o**2 + 4*o - 2. Give n*a(m) - 4*i(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 10*v**4\/7 - 14*v**3 - 130*v**2\/7 - 22*v\/7 = 0.\nAnswer: -1, -1\/5, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 38, 5, -1117196.\nAnswer: -1117196, 1, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of c**6\/15 + 3*c**5\/10 - c**4\/6 - c**3 - 2*c. Factor y(m).\nAnswer: 2*m*(m - 1)*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of 2*i**3\/3 + 1. Let b(j) = 3*j. Let t(v) = -2*v - 7*v - 9*v - 17*v. Let p(u) = 49*b(u) + 4*t(u). Determine p(d(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -1 - 2 - 296*t - 2. Suppose -137 = 2*d - 133. Is a(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001667644 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*c - c + 9. Suppose -2*a = -c - 21. Solve -5*r - n = -8, 5*n + 3 - a = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (25\/100)\/(1\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -1\/4  (b) -29  (c) -836557  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -u + 10, 2*u + 4*x - 18 = -x. Solve u*c = -c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 52\/(-24) + (-12)\/(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -142 + 2010234?\nAnswer: 2010042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*n**3 + 76788*n**2 - 153552*n + 76772.\nAnswer: -4*(n - 1)**2*(2*n - 19193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from qwwqnqqqluuquyu.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - z + 3*z + 356, 2*h + 5*z = 190. What is the greatest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1372)\/140*684\/152*(-10)\/9\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 + -6 + 1 + -1 + 200 + -186?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 26, 4, 2556, -7 in descending order.\nAnswer: 2556, 26, 5, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * -288.\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -132 - -158. Suppose 29*v - i*v = 18. Solve v*h - 10 = 8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30688.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/((-264)\/(-3014)) + 22. What is the third biggest value in -2\/3, 2\/3, o, -3, -0.087?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 230168.871 milliseconds?\nAnswer: 0.0026639915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 9, s = -s - 5*k + 49. Suppose 20 + s = 4*v. Suppose -3*o + 3 = -105. What is the remainder when o is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -24\/5. Suppose 2*a + c - 2 = a, -3*a - 2 = -c. Is u equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 10930000, 4\/3 in increasing order.\nAnswer: -0.3, 4\/3, 10930000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 36550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 587 a factor of 517430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of -11\/60*s**5 + 0*s**3 + 0*s**4 + 0 + 0*s - 78*s**2. Let u(w) = -w. Determine u(t(f)).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 330 divide 923576795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {o: 3, d: 2, n: 7, i: 3, f: 2, c: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 100.232 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 5*h - 121 + 56 + 60. Let a be t(-4). Let j be -5*5\/a + 3. Solve 0 = j*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12*r + 318*r**4 + 753*r**4 - 191*r**4 - 1 + 11*r)*(-2 + 4 + 3) in the form k*r + i + l*r**3 + f*r**4 + y*r**2 and give f.\nAnswer: 4400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + 17?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 331*j**4 + 4 + 63518*j**3 - 63515*j**3 as x + p*j**2 + h*j**3 + i*j + v*j**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-216)\/972)\/(-2*1\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**2 + 63448*z + 46400550 = 0.\nAnswer: -30975, -749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 - 35 - (1 - -112)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of b**5\/4 + 325*b**4\/6 - 5*b**3\/6 - 325*b**2 - 2*b - 2528. Find k, given that f(k) = 0.\nAnswer: -130, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.30472 and 132.60437588.\nAnswer: 132.29965588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8488 - -14911. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.29 + 0.07. Let t = w - 0.06. Let x = 0 + 3. Put -3, x, t in increasing order.\nAnswer: -3, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 13. Let n be ((-2)\/4)\/(o\/(-432)). Let 0 + 17*m**2 + 54*m**5 - 18*m + 2 - n*m**4 + 35*m**2 + 11*m**3 - 47*m**3 = 0. Calculate m.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**4*m**(-2\/17))**43 assuming m is positive.\nAnswer: m**(2838\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 3417*o + 75176. Calculate y(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8421.33 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -64*d**3 - 20*d**2 + 20. Suppose x - 2 = 0, 3*b + 17*x - 14*x + 3 = 0. Let c(r) = -9*r**3 - 3*r**2 + 3. Calculate b*u(q) + 20*c(q).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1034.463 + 1034. Let q = 0.263 + w. Sort q, -1\/27, 4 in decreasing order.\nAnswer: 4, -1\/27, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 s, and 1 n when three letters picked without replacement from {d: 2, n: 1, s: 2, c: 2, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 381*k - 373*k + 240. Let g be 46*10\/(-75)*5. Is k smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(17) + -1 + sqrt(102)\/(sqrt(6) - sqrt(384)) + sqrt(1377) + 3 + (sqrt(17)*-4 + sqrt(17))*-6)**2.\nAnswer: 646425\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/84)\/(1\/(-6)). Let u = -37.2 - -37. Let f = -98.9 + 97.5. What is the closest to i in 2\/7, u, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 95890*k**6 - 6861*k**2 + k - 3 wrt k?\nAnswer: 11506800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 5*z + z = -1572, -z = -3*p + 933. Suppose 3*q + p = 588. Are 91 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 5*q - 2. Suppose -2*y - a + 14 = 2*y, -y - a + 2 = 0. Determine f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in thirty-three fifths of a microsecond?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 60848729 + -5410143?\nAnswer: 55438586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*u**2 - 33*u**2 - 33*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2d (base 14) to base 2\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 248 or -14?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23909 - 23908.9999947492. What is b rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 19. Put s, 2, 1 in decreasing order.\nAnswer: s, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*((-1130)\/4)\/5. Let w = 98 + y. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9646114 divided by -2?\nAnswer: -4823057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of -p**8\/3528 + 2*p**7\/735 - p**6\/210 - 8*p**5\/315 + 5*p**4\/84 + 2*p**3\/7 + p**2 - p. What is x in q(x) = 0?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 506941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1374*-9.\nAnswer: -12366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11475 + -9493. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1741953 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 - 324052*b**2 - 14900044*b - 171326172.\nAnswer: -4*(b + 23)**2*(b + 80967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21*2\/(-28))\/(12\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -83 (base 12) to base 16.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -5307\/1192 greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 2*g - 22, -1042*s - 24 = -1039*s - 3*g. Suppose 0*q - 4*v - 8 = 4*q, -5*v = q - 10. Sort -11, s, -1, q in decreasing order.\nAnswer: -1, s, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 37*k**2 - 45*k + 255. Let i be l(38). Let z = -28.66 - -29. Let y = -0.06 - z. What is the second biggest value in 4, -4, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 2. Let o(z) = 886*z - 17 + z**2 + 13 + 3 - 887*z. Let k(t) = -4*t**2 + 2*t + 2. Let n(b) = x*o(b) + k(b). Let p(u) = 2*u + 1. Determine n(p(y)).\nAnswer: -8*y**2 - 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2999 or -2883?\nAnswer: -2999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3*z = -62, 4*y - 3*z - 228 - 11 = 0. Let a = y + -40. Calculate the remainder when 73 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -6*x + 3*x. Let b = 30 - -31. Is (x + -3 - 0) + b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - 51\/4. Let o = 0.1 - 0.1. Let q be 1 - ((-57)\/63)\/(-1). Sort q, g, o in decreasing order.\nAnswer: g, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/7, 1, -0.1, 5, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/23 in 13\/12, -4, -1\/2, 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 18. Let d(u) = -u - 3. Determine 6*d(h) - w(h).\nAnswer: -6*h - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*m = -10*m - 28938. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 - 26445*q + 26569*q - 2*q**2 as s*q**2 + d*q + c and give d.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5.9 + 2.9. What is the nearest to 1 in -1, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 5, 2, 464785, -2 in descending order.\nAnswer: 464785, 5, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*i + 6585 = 0, -2*u = 6*i - i - 2663. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j**3 - 68*j**2 + 66*j - 1. What is t(33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2384 = -13*i - 2267 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1261273903 to the power of 1\/3, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together 59220 and -2.\nAnswer: 59218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 84925070.00853 - 84924508. Let s = g + -562. What is s rounded to 4 decimal places?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 PM and 9:56 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34193\/11 or -3108?\nAnswer: -34193\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105719?\nAnswer: 71, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of -26338489 and 42380071.\nAnswer: 16041582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s + 3*h + 14 = -s, -4*s - 6 = 2*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, d: 2, s: 1, c: 1, p: 1, a: 2}. Give prob of picking 1 d and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 841 divide 89365368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 15 = -2*t, -267*t = -3*x - 271*t - 25 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 4 = -2*i - 0, -4*h + 3*i - 8 = 0. What is the nearest to h in -0.2, -1\/2, 2\/15, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -q**4\/20 - q**3\/5 - 3*q**2\/10 - q\/5 + 187. Solve a(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**4 - 6*c**3 - 6*c**2 - 16*c + 58. Let u(l) = -l**3 - l**2 - l. Let a(o) = -n(o) + 6*u(o). Differentiate a(v) wrt v.\nAnswer: -4*v**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 8*u - 2. Let l be v(1). What is the tens digit of (4\/l)\/((-2)\/(-96))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 28\/42 + 0 + 1\/3. Let p(o) = -3*o**2 + t - 3 + 2. Let w(l) = 2*l. Determine p(w(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 15*q + 8 - 15 - 1 + 8*q**2 - 6. Let n be p(1). Solve 0 = -5*s + n*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 36 + 102. What is the highest common factor of a and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {j: 7, x: 4, p: 1, q: 2, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5257352 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-10)\/o*o)\/o)\/(o\/o**(1\/24)) assuming o is positive.\nAnswer: o**(-287\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2849, 2850, 2851?\n\"Answer: w + 2848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -25\/6  (b) -1.65  (c) -2\/7  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -13. Let r = o + 7. What is the highest common factor of r and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.17 - 1.83. What is the nearest to -1 in -0.5, 1\/22, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-2) - (93 + -109)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6370, 12773, 19190, 25627, 32090, 38585, 45118, 51695?\n\"Answer: n**3 + n**2 + 6393*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 312534458 a multiple of 1704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -1, 0, -4, 1168 in descending order.\nAnswer: 1168, 1, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 42006888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 939811 is divided by 342?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 2*v, 2*v = -6*m + 3*m + 25. Let f = 7 + -5. Let s(z) = z**3 + 5*z**2 + 0*z - 7*z - 9*z**f + 6. What is s(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/((-6088)\/4566*(3\/8)\/3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/15*(-63)\/(-42)*25\/(-195).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(2057) + 1 + 5 + sqrt(2057) - -6*-1*sqrt(2057) - ((sqrt(153)*-2 + sqrt(153))*-2 - (sqrt(153) - (0 + sqrt(153)))*-5)))**2.\nAnswer: -9600*sqrt(17) + 680576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 699 and 8.\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -200, -392, -580, -764, -944?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 82875.41 millennia in decades?\nAnswer: 8287541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (1 - 2 - 0) - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1572*h - 249*h = -90*h - 12117 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -174476 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: 1011 (base 2) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 27, 49, 77, 111?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 + 9*o - 115. Let j be v(-16). Let d = 4.3 - -0.7. Which is the nearest to j?  (a) -3\/7  (b) d  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2698, 5402, 8106, 10810, 13514?\n\"Answer: 2704*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10331121 (base 4) in base 10?\nAnswer: -20313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8100 - 8099.3684. What is m rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -111.8186 + 112.74. Let d = x + -0.0134. Let b = d + -0.68. What is b rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + f + 40 = 5*b, b - 10 = f. Solve h - 4*a = 13, -4 - 13 = -h + b*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2300 is divided by 480?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000127908399 rounded to 7 decimal places?\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-2)*(-17)\/(612\/(-27))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of 11*x**3 + 46*x**2 + 0 + 7\/24*x**4 - 1\/15*x**5 + 0*x. Find the first derivative of s(a) wrt a.\nAnswer: -8*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1381, -1382, -1383, -1384, -1385?\n\"Answer: -x - 1380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 PM and 12:28 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5515536.\nAnswer: 2, 3, 13, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19268?\nAnswer: 2, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3811 = 330*m - 181 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -506 + 1945. Let n = 379 - r. What is the tens digit of n\/(-15) + 2\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sftfstffftfftfffftt. What is prob of sequence fs?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v + v + 2*v)*(-3*v**2 - 2*v**2 + 3*v**2) - 1097*v**3 + 108*v**3 - 341*v**3.\nAnswer: -1326*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/19 in -0.8, -0.3, 0.0095, -2\/7, 4?\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 252359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151*j - 1196 = 105*j. Suppose -90 = -3*f + 60. Calculate the remainder when f is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2 = -3. Let p = 8 - n. Let o be 2\/8 + (-11)\/(-4). Is o greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 (base 13) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7665*g**3*p - g**2 - 318*g*p wrt g.\nAnswer: -45990*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167171229.\nAnswer: 3, 43, 109, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1)**(18\/13)\/((k*k\/(k*k\/k**(4\/7)))\/k**(-3\/5)) assuming k is positive.\nAnswer: k**(97\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15415 - -12?\nAnswer: 15431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11111 (base 4) to base 5.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 89291260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.77 times -24882?\nAnswer: 342625.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m. Let i(o) = -o. Let k(q) = -9*q. Suppose 7*u - 17 = -3. Let h(b) = u*i(b) - k(b). Determine y(h(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 558827 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -28 + 243. Let z be 38\/(-3)*n\/4. Let b = 705 + z. Calculate the common denominator of b and 11\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8389209l in millilitres?\nAnswer: 838.9209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 8 = 71279*x - 71277*x, 5*x = 17*k + 29 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -2*a - t, -5*t = -3*a - 0*t + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 240 a factor of 1106212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4030 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*h**4 - 2*h**3 - 4 + 5*h**3 + 9*h**4 in the form s*h**2 + q*h**3 + x*h**4 + a + g*h and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 2. Let d(g) = 2*g + g + 4*g - 6 - n*g. Let p = 10 - 6. Determine d(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*m = 253 + 267 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -254110, -510154, -766198, -1022242?\nAnswer: -1278286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 882 divide 288516958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 24 = -2*w, -5*w + 52 = -3*t - 0*t. Suppose -22 = -3*g + w. Suppose o = 6*o - g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/1334 and -43\/1160.\nAnswer: 26680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*g**2 + 0*g**2 - 2776 - 2775 + 2269*g**3 + 5551)*(30*g - 66*g + 11*g) to the form l + j*g + q*g**4 + y*g**3 + f*g**2 and give q.\nAnswer: -56725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 539, 532, 515, 482, 427, 344, 227, 70?\n\"Answer: -r**3 + r**2 - 3*r + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 9) to base 4\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 7:57 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 94049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 - b + 1. Let o(t) = 8*t**2 + 5*t - 3. Let s(k) = -6*m(k) - o(k). Let f(p) be the first derivative of s(p). Does 17 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -348 - -1747\/5. Is -0.06 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -790*z**3\/9 + 3934*z**2\/9 + 80*z\/9.\nAnswer: -2*z*(z - 5)*(395*z + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -10*r + 3*r + 6*r + 1 - 8*r**2. Determine l(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*c + 14 = 0, -5*t + 8*c + 22 = 7*c. Let x(n) = 28*n - 10*n - t*n + 6*n. Let k(g) = -3*g**2. What is k(x(v))?\nAnswer: -1083*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 11 + 334. Let d = y - 35. Calculate the highest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-6))\/((-34)\/(-340))*-90*20\/(-5000)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in -0.1, 73, -0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from azxxaaaaaza.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 8:56 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -861*w + 898*w = -724127. Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 27*f**5 - 3*f**4 - f - 3. Let a(l) = -l**5 + l**4 - l + 1. Let i(v) = -3*a(v) - h(v). Find the second derivative of i(d) wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2097, 4200, 6291, 8364, 10413, 12432, 14415?\n\"Answer: -y**3 + 2110*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1898.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0032646097 rounded to four dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 + 6*o + 16. Let f be d(7). Let v be (-176)\/(-156) + (-6)\/f. Do 0 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 233, 833, 1793, 3113, 4793, 6833?\n\"Answer: 180*f**2 + 60*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 217335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - n**2 + 1)*(-4*n**3 + n**3 + 2*n**3) + (2*n + n + 4*n)*(-2*n**3 + 2*n**3 + n**4).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (6\/(-10))\/((-11)\/3685)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 0*z + 3 + 2*z - 3*z. Let b(n) = 3*n**2 + 20*n + 6. Let m be b(-6). Let g be -3*(2 - 1) - m. Give r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 62 + -16. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 47075 and 17275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21 - (-1 + -9)) + 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -p + 3*q + 4, 4*p = -q + 4 + 32 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/14 + 0 - (-12)\/42.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 + 8*b**2 + 13*b - 10. List the prime factors of n(9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23387.\nAnswer: 7, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24284\/208*8\/1 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 51, 182, 391, 690, 1091, 1606, 2247?\nAnswer: 3026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -449 - -455. What are the prime factors of 2\/v + 342\/27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -623476?\nAnswer: -623475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92\/3*y - 26\/3*y**2 - 19\/3*y**3 - 1\/3*y**5 - 56\/3 + 10\/3*y**4 = 0. Calculate y.\nAnswer: -2, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**3 + 16*j**2 - 22*j - 22. Determine q(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 + 2*d + 209. Let j be t(0). Suppose j*o - 320 = 207*o. Suppose -3*w + o = 2*w. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1001411100 - -20?\nAnswer: -1001411030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77714118, 155428237, 233142356, 310856475, 388570594?\nAnswer: 466284713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152 = 2*f - 4*i, f - 67 = -7*i + 6*i. What is the greatest common divisor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71185*p**2 - 3*p**3 + 142378*p**2 + 13*p - 71193*p**2.\nAnswer: -3*p**3 + 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28361 by 1.\nAnswer: 28361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 168 by -990333.\nAnswer: -56\/330111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2101*n**2 + 2097*n**2 - 4197*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -3*w**2 + 4*w - 54. Let h(d) = -7*d**2 + 9*d - 108. What is 2*h(z) - 5*n(z)?\nAnswer: z**2 - 2*z + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 33, 4 in increasing order.\nAnswer: 4, 11, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -203 (base 4) to base 10.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 5 + (sqrt(500) - (sqrt(500) + -1 - sqrt(500))) - (2 + sqrt(40)\/(-1*sqrt(128))))**2.\nAnswer: 123*sqrt(5)\/2 + 8549\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 PM and 4:19 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 13) + -2 + (5 - (2 + 8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of 1\/18*v**4 + 0*v**3 + 0 - 2\/315*v**7 - v - 17\/180*v**5 + 6*v**2 + 1\/18*v**6. Factor i(n).\nAnswer: -n*(n - 4)*(2*n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52 and 2221882?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 141867, 1134914, 3830331, 9079302, 17733011, 30642642, 48659379?\n\"Answer: 141864*q**3 + q**2 - 4*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 7*p**2 + p - 8. Let l be c(7). Suppose f - 22 = -3*w, -3*f = 5*w - 0*w - 46. Is f greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - d = -6*d. Suppose -2*m = d, 4*v - 105 = -v + 2*m. Calculate the remainder when 35 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - f - 60 = -4*f, 12 = t + 3*f. Let u = -7 + t. Solve -2*p + 5 = -u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 4*m - 3. Let t be d(2). Let n(x) = -x**3 + t + 8*x**2 + 2*x**3 + 5*x - 2 - 5. What is the least common multiple of n(-7) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -4*l**3 - 282*l**2 + 147*l - 551. Give x(-71).\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12907610 and 1160?\nAnswer: 51630440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 30 = 2*t, 3*t - 15 = 2*t + g for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 57\/5 of a meter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23)\/((-138)\/(-90))*10\/15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1510 - -1511. Which is the fourth biggest value?  (a) -0.2  (b) -3  (c) -10  (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (765 + 14*s - 765)*(5 - 5 + s**3)*(0 + 3 - 5).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k**5\/8 + 453*k**4\/8 + 2907*k**3\/8 - 12717*k**2\/8 = 0 for k.\nAnswer: -9, 0, 3, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 1556.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2eb30 - -99?\nAnswer: -2ea86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 54340 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: Is 3.8 < -60\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -74, -113, -150, -185, -218?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 541*h - 969*h + 429*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 + 3*p. Let z(g) = -2*g**2 - 5*g. Let f(x) = -5*b(x) - 3*z(x). Let n(u) = 29*u. Calculate f(n(s)).\nAnswer: 841*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 + -43. Let k be ((-25)\/o + 55)*2\/6. Solve -3*y + 2*c - k = 0, 4*y + 3*c + c = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 2*t**2 - 5384746*t\/3 - 1794916\/3 = 0.\nAnswer: -1\/3, 897458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1273 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 3. Suppose 4*a - 18 = -14. Let m(g) = g**2 + 1. Let r(n) = -3*n**2 - 11. Let x(q) = a*r(q) + l*m(q). Differentiate x(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 3, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -137270 divided by -1855\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let w = -1.8 - -2. Let d = 7.7 + -7.9. Let n = w - d. What is the closest to 0.2 in -3, -3\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 25\/2 of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 121, 24, -73?\n\"Answer: -97*r + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 7 + 21 = 0. Let m(v) = 12*v - 33. Is 5 a factor of m(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 411021 and 537489.\nAnswer: 6987357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = g, 2*o - 5 = -g - 4. Is 19 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)*2*3*-1)**2 + -3 + -2*(sqrt(304) + -2).\nAnswer: -8*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/6 and -35\/1193685188?\nAnswer: 3581055564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -0.06, 3, 0.017 in increasing order.\nAnswer: -0.06, 0.017, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 8*y**2 - 565 + 576 + 51*y - 2*y**2 + 3*y**2. Let s be k(13). Let r(n) = n**3 + 2*n. What is r(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, f: 1, n: 3}. What is prob of sequence nf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 80*w**3 - 404*w**2\/5 - 796*w\/5 + 8\/5 = 0?\nAnswer: -1, 1\/100, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-81) - (-1 - 34\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 146\/5  (b) -1\/2  (c) 8  (d) 3  (e) -1.38  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) 1  (c) -0.06  (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 3*m**2 - 48*m + 2. Let h be a(16). Suppose -2*g - h*z = -7*z - 29058, g - 14499 = -5*z. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2592010 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-3)*69\/23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-6) + (-4)\/(-8) - (-371)\/(-159).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02693 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 (base 8) in base 4?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 3*b - 18. Calculate c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/721146 and -119\/15780.\nAnswer: 7211460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 2\/15, -1\/39, -2, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/6*16\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, s: 5, z: 1, l: 4}. What is prob of sequence zll?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 380 = 12*k - 2*k. Suppose s = -k + 135. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46619743447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 3194*y - 3192*y, 4 = -2*y - 2*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17 and 1190.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of h**7\/630 - h**5\/60 + h**4\/36 + 3*h**2\/2 + 16. Let j(u) be the second derivative of q(u). Factor j(n).\nAnswer: n*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 757980 by 126330.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 6:19 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5866 + -1936. List the prime factors of h.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*393\/(-96) + (170 - 162).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2808 divided by -216\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 983 - -69. Is v a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 397*r**2*z**2 - 6*r*z**2 - 77*r*z - 3*r - 170515300*z**2 wrt r.\nAnswer: 794*r*z**2 - 6*z**2 - 77*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n**2 + 65*n + 26. Let a be i(22). Let d(l) be the second derivative of -10*l + 0*l**3 + 5\/12*l**a + 0*l**2 + 0. Let v(q) = -2*q**2. Give v(d(h)).\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**4 + 124*c**3 - 1212*c**2 + 4356*c - 5184.\nAnswer: -4*(c - 16)*(c - 9)*(c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - -2 - (12 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 642\/(-535) + 150342\/(-15). Which is smaller: t or -10026?\nAnswer: -10026","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*g - 204*g - 406*g = 6613 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 160, 161, 162?\n\"Answer: q + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/567*18*-1*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-2*-1*sqrt(200) - (4 + sqrt(200) + 0))*-1*-2)**2.\nAnswer: -320*sqrt(2) + 860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2091, -4183, -6275, -8367, -10459?\nAnswer: -12551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 AM and 1:55 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -45584 <= 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17*s + 8*s + 13*s)*(-30*s - 240 + 240) to m + l*s + u*s**2 and give u.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -28*q**2 + 1254*q + 10144. Calculate b(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-194)\/(-5))\/(4\/10). Let k be q*1 + (15 - 11). Let c = -64 + k. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 61374.73km?\nAnswer: 61374730000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 AM and 3:20 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 49389913 and 35309?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-99)\/63 - 76200\/(-58674)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 994 or 0.0133?\nAnswer: 994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114\/8*988\/(-741).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 32\/(-4)*(-12)\/16. What is the highest common divisor of m and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 2627 = -353. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -8  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eejhhq. Give prob of picking 1 h and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 + 21. Suppose -l = -z - z + q, 0 = z - 4*l - 7. Sort -2, 1, z.\nAnswer: -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 43 = m - x, 2*x - 94 = 2*m. Let h = -46 - m. Let q(z) = 3*z - 3. Determine q(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*q**3 + 17*q**3 + 8*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -34, 9, 5 in ascending order.\nAnswer: -34, -2, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 15133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -5.9504 times 0.051\nAnswer: -0.3034704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 40 - 19?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*c - 17*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 4, s: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/12)\/(4\/30). Let i be (0 + -2)*6\/342. Let u = i - 47\/285. Which is the third biggest value?  (a) u  (b) x  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -4. Suppose 70 = m*a + a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-75)\/(-120)*(-252)\/70.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4645, -5400, -6153, -6904, -7653, -8400, -9145?\nAnswer: -9888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1021 + 1049. What is the greatest common divisor of w and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -99 + 151. What is the remainder when h is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3 - 107982*q**2 - 1733144688*q - 7045588739808.\nAnswer: -2*(q + 6159)*(q + 23916)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/11 + (-32172)\/(-33)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -140235*l*o**2 + 13*l*o + 3*l + 21*o**2 - 3970*o + 6 wrt o?\nAnswer: -280470*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 15*d + 11. Let g(c) = 7*c + 5. Let j(h) = -5*g(h) + 2*v(h). Let l(k) = -k + 1. Let y(m) = -j(m) + 2*l(m). What is y(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -12  (b) -0.4  (c) -1\/5  (d) -2.5  (e) -2\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + 38 + -6 - 14) + (19 - 1) + -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 614 + 7 + (0 - 8). Let t = n - 589. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -1\/5  (c) -0.04  (d) 18  (e) -520\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 28 = -449*i + 451*i, 3*i = -2*j + 49. Put i, 3, 1, -8 in decreasing order.\nAnswer: i, 3, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 51 and 8034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(2) + 2)*2 - ((sqrt(24) - sqrt(24)*2)\/sqrt(12))**2) + sqrt(864)\/sqrt(3)*-6.\nAnswer: -70*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(52)\/sqrt(4)*4 + -3 - ((sqrt(1300) - 1*sqrt(1300)) + sqrt(1300) + 2))*-3)**2.\nAnswer: 540*sqrt(13) + 4437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*t**2*u*v - 994*t**2*u + 2*t**2*v + t**2 + 14*t*u - 326*t - 4*u*v wrt t?\nAnswer: 16*u*v - 1988*u + 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 79 + -75. What is the third derivative of -3*s**f + 1524*s**3 - 14*s**2 + 5*s**5 - 1524*s**3 wrt s?\nAnswer: 300*s**2 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5879?\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 7, i: 1}. What is prob of picking 3 u?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 232520, 232545, 232594, 232667, 232764, 232885?\nAnswer: 233030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*m + 45. Let j(z) = 9*z**2 - 2*z**2 - 8 - z**3 - 9*z + 2*z**3. Let d be j(m). Put 5, d, -1 in increasing order.\nAnswer: -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -73 * -19\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -65*b - 368. Suppose 26*k - 31*k - 65 = 0. What are the prime factors of l(k)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*d - 809 = 34*d + 897 - 1814 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, 19, -4, 0.19, -5\/4 in descending order.\nAnswer: 19, 0.19, -4\/7, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 736 = 5*x, 0 = -l - 0*x - 3*x - 704. Let b = 1206 + l. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - 7. Let c(b) = -2*b**2 - 8. What is -3*c(o) + 4*i(o)?\nAnswer: 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 300117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 6 + 0 - 3)*(-2393 + 932 + 937)*(-4*j + 2*j + j) to the form v + w*j and give w.\nAnswer: 1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 121.5?  (a) 5  (b) -4\/9  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 + 19*o - 58. Let k be x(-12). Let p(c) = 32*c**3 + 4*c**2 - 4*c + 6. Is 45 a factor of p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 437 = -4*a, 6*r - 9*r + 547 = -5*a. Let z be (-22)\/a - (-9)\/5. Let v be (2 - 32\/18)*15. Which is bigger: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -7589.\nAnswer: -3\/7589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5644825 and 9968.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11 + 435c61?\nAnswer: 435c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 PM and 1:03 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 3  (b) -1\/8  (c) 21\/467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gucg when four letters picked without replacement from {u: 7, c: 2, e: 3, g: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5410944 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7859\/7 - 1123. Let g = -0.2 + -1.8. Which is the fourth biggest value?  (a) v  (b) g  (c) -5  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -6*b**3 - 314*b**2 - 1435*b - 36751. Give d(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 10100*t + 91004. Give v(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1355114054 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -188 - 10189*s + 188 + 14918*s as f*s + o and give f.\nAnswer: 4729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1185\/227 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y + 33. Does 3 divide x(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-10) - (-2352)\/120. Suppose -3*m = -u*m. Solve m = 3*i - 5*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 2)*(-169*v + 78*v + 725*v).\nAnswer: 1268*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -f - 3*f. Suppose -5*d = -x - 18, -3*x + 7*x = -4*d. Let s = f + x. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52) + sqrt(1872)*-2 - (0 + 3 + sqrt(117))**2.\nAnswer: -40*sqrt(13) - 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -88300, -176673, -265046, -353419, -441792, -530165?\n\"Answer: -88373*x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 679.78 - -17.22. Let j = k - 697.000357. Round j to 5 decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46762594673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(2\/3)\/q*q**29 assuming q is positive.\nAnswer: q**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 PM and 9:32 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 4948*c - 4. Let z = 20 + -22. Let y be u(z). Round y to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b - 69 + 69 + 3*b**2 + (4*b + b - 6*b + (b - 2*b - b)*(5 - 1 - 3))*(-3*b + 17 - 17) as x + p*b + c*b**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.06 in 3, -3\/2, -2\/7, 10.1611?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y**3 + 3*y**2 - 4. Let t be l(2). Which is bigger: t or 22?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of 31*y**5\/20 + 611*y**2. Let t(j) = -8*j. Calculate t(k(f)).\nAnswer: -744*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9496 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: (75 - 7260\/100)*2\/(-20)\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -412, -408, -404, -400, -396?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1524960751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2103 is divided by 991?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -194*r**2. Let h(f) = -1791*f**2. Calculate c(h(x)).\nAnswer: -622290114*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 3446.93 decades?\nAnswer: 344.693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of -2*w**3\/3 + 6. Let o(s) be the first derivative of 0*s**2 + 5 + 11*s - 11*s + 2*s**2. Determine f(o(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 10011110111 (base 2) in base 10?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 561419 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.08 - -0.02. Let p = -249.12 - -249. Let v = -1.12 - p. Which is the closest to v?  (a) 12  (b) 4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15 + 34. What is the greatest common divisor of z and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-18)*4\/4*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of i**3\/3 + 7*i**2\/2 + 2*i + 15. Calculate g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uovoyzxv. What is prob of picking 1 z, 2 v, and 1 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 50173123 a multiple of 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -192 + 198. Calculate the lowest common multiple of x and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1069, -2096, -3121, -4144?\nAnswer: -5165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -170 + 156.2. Let h = k + 14. What is the closest to h in -1, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-20))\/(((-630)\/(-168))\/15)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(4 - 20\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-5))\/(6\/15). Is (-331)\/(x\/12*-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - p + 10. Let k be ((-12)\/10)\/(3\/(-10)). Let d(v) = v - 4. Let q be d(6). Solve -3*z = -p*n - q*z + 17, -k*z = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-145)\/(-20))\/(2\/16). Let i be p\/(-18) - 10\/(-45). Let t = i + 12. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h**3*h)\/(h**2\/h))\/((h\/h**(-1))\/(h\/(h**1\/h))))**(-22\/7))**(-2\/3) assuming h is positive.\nAnswer: h**(88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -504.25759 to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13486 is divided by 467.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m = -2*m, 2*m - 16 = -2*c. Let x(t) = 13*t**3 - t**2 - 22*t + 13. Let h(n) = -7*n**3 + 11*n - 7. Let o(q) = 11*h(q) + 6*x(q). Is 17 a factor of o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - c**2 - 52*c + 34. Give o(-8).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 552 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9775623623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000050523 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 + 3*z**2 - 51*z - 150. Let i be p(-3). Suppose -3*o + 37 = -5*h - 26, -71 = -5*o - 3*h. Solve -i*j = -12, 2*j = -4*v - j + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -16*c**2 - 1092*c - 272 = 0?\nAnswer: -68, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 + 2*j - 21 + 4.\nAnswer: 2*j - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -3*u + 14. Let a be w(6). Let j be (350\/(-15))\/(-7)*(-6)\/a. Suppose -j*i = i - 30. Sort -2, i, -0.2, 2\/3.\nAnswer: -2, -0.2, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25914286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -296 - -126. Let v be (12\/50)\/((-9)\/o). Let w = v + -29\/6. Is 0 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2921*b - 105 = 2942*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 6470941820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.08, -1.5, 4\/7, -2\/31, 987\/5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30057\/11 - -2732. Let y = -3 - -5. Let c = 2 - y. Is a > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1208 and 38354?\nAnswer: 153416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -3*z + 34. Let m be y(11). Let t = 38 + -50.8. Let l = -13 - t. Which is the nearest to -2\/7?  (a) m  (b) l  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 71 (base 13) to base 7\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 178 divide 19845052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3900488 divided by -6\nAnswer: -1950244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of r**5\/20 + 7*r**2 - 66. Let i(z) = -6*z - 2. Give b(i(p)).\nAnswer: 108*p**2 + 72*p + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 353, 2 in descending order.\nAnswer: 353, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 997 - 63. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, n: 7, m: 5}. What is prob of picking 2 m and 2 t?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j - 50. Let d be p(11). Let l be 10\/4*20\/25. Let z(v) = -8 + d + 5 - 6*v - v**l. What is z(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35) - sqrt(35)*2)*-5 - sqrt(560)*2)\/(sqrt(125) + sqrt(125) + -3*sqrt(125)*-3)*2 + 1.\nAnswer: -6*sqrt(7)\/55 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 PM and 4:12 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vlllqvl. What is prob of sequence lqvv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 120261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 at most as big as 227\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + j = -0*j - 8, -5*n = j - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 - c**2 - 10*c - 7. What is d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000000 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/838700 and -117\/14.\nAnswer: 5870900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -6*l - 2*l - 6*l + l + 2*l - 8. Let t(h) = -23*h - 17. Let z(r) = -r**2 - 10*r - 3. Let k be z(-9). What is k*t(a) - 13*s(a)?\nAnswer: 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b\/b**(-3\/4)*b)*b**(-12)*b*b**(11\/2)*b**(-19\/5) assuming b is positive.\nAnswer: b**(-221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-3 - -2) + -4 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**3 + 46920*t**2 + 550465428*t + 2201111056 = 0 for t.\nAnswer: -23458, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 29*s**2 + 3*s + 4. Let v be z(-2). Suppose -v = -5*l + 111. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -215 + 113. Let r = n - -125. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*m - 7*m + 1731, 0 = -2*j - 4*m - 3462. Let w(x) = -x**3 + 53*x**2 + 118*x - 54. Let c be w(56). Let p = j - c. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 54*o**3 + 1399*o**2 - 66*o**3 + 582*o**3 - 243*o**3 wrt o.\nAnswer: 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0848056796 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12863 - 6420. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b = -5*b - 98. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(4\/11)*b*b**(-5)*(b**(-3\/8))**8 assuming b is positive.\nAnswer: b**(-73\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.64 - 0.16. Let v = l - 0.7. Let i = -1.8 - v. What is the second biggest value in 0, 3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*j**2 + j**2 - 5*j**2 + (7520 - 7520 + 1932*j)*(2 + 1 - 2)*(5*j + j - 5*j).\nAnswer: 1934*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -78995 minus 276?\nAnswer: -79271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 275685 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2017 - -3924. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -176*o**3 - 56*o. Let x(q) = -16*q**3 - 5*q. Suppose -196*d - k - 3 = -195*d, -5*d = -2*k + 29. Determine d*r(a) + 56*x(a).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u + 60. Let b be k(0). Suppose -z + 5 = 4*a, -2*a - 3*z = -1 - 14. Suppose a = 4*g + 4 - 28. What is the greatest common divisor of b and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 395127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/q**(3\/8)))\/q)**22\/((q**(-2\/11)*q)\/(q\/((q\/(q\/q**(3\/14)))\/q*q))) assuming q is positive.\nAnswer: q**(-4245\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 3*p. Let w(u) = 3*u - 12785. Give w(m(h)).\nAnswer: 9*h - 12785","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 PM and 10:58 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224 is divided by 1 + 0 + 3 - (-318)\/6.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -17960458.0257 and 2.46.\nAnswer: -17960455.5657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -5*u**2 - 2*u - 2. Let s(y) = -4*y**2 + 114*y - 256. Let j be s(26). Let b(h) = 6*h**2 + 3*h + 3. Give j*b(p) + 5*l(p).\nAnswer: -p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**5\/5 + 56*n**4\/5 - 194*n**3\/5 - 2668*n**2\/5 - 6392*n\/5 - 4624\/5 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 10) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of c**5\/4 - c**4\/6 + 11*c**2\/2 + 2. Let x(q) be the second derivative of y(q). Find the second derivative of x(u) wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3913, -4039, -4161, -4279, -4393, -4503, -4609?\nAnswer: -4711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-14)*r)\/r)**(-9)*(r**11\/r)**(1\/13) assuming r is positive.\nAnswer: r**(1648\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**3 - 387040*c**2 - 7486513505*c + 134882673210.\nAnswer: -5*(c - 18)*(c + 38713)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + (-2965)\/(-25)*1. Let k(m) = -121*m**2 - m + 1. Let a be k(1). Let f = c + a. What is the third biggest value in 4, f, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -9*y**2 + 3*y + 2. Determine a(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0432102992 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1294140709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 801 and 4281111.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11313049.\nAnswer: 11, 137, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 223.9 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttaaaataatattaaaiaa. Give prob of picking 2 a.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + 4. Suppose -2*m + 9 = m. Let s be t(m). Let b = s - -8. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 300.2 - 275.2. Sort p, 3, 2\/13 in increasing order.\nAnswer: 2\/13, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7*(-3)\/((-42)\/100) and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16690 and 1180.\nAnswer: 1969420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 101838115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 205339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, 4\/5, -0.3, -4, -0.21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 912.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 2 = 2*d. Solve 0*h - d = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*v = -146346 - 6879. Suppose -w + 3*w = 2*h + 12274, 0 = -w + 5*h + v. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73279, 76390, 79499, 82606, 85711, 88814, 91915?\nAnswer: 95014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 65 + 45 = 0. Suppose 5*b - 115 = -30. Let u = b + -5. What is the remainder when n is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i + 201*n + 382 = 212*n, i = 3*n - 53 - 13 for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.2 + 0.8. Let p = i + -6. Let j = 0 + -5. Put 1\/4, p, j in decreasing order.\nAnswer: 1\/4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 11:42 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(156)*5 - sqrt(156))*3)\/(sqrt(12) + -2*sqrt(1200) + (sqrt(72)\/(-1*sqrt(6)) - sqrt(12))) + 5 + -1.\nAnswer: 4 + 11*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*(y**(4\/5)\/y)\/y*y*y*y**(8\/5)*y\/(y**26*y)*y\/(y\/y**(-1\/15)))**(-7) assuming y is positive.\nAnswer: y**(476\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, n: 2, k: 1, e: 2, s: 2, l: 1}. Give prob of picking 1 e and 1 t.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -9*t**2 + 9*t**2 + t**2 - 8*t - 2*t + 11. Let w = 29 - 7. What is the least common multiple of w and k(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40830 - -3143775\/77. Let m = g - -11\/7. What is the third smallest value in m, 2\/9, -0.28?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2)\/c*(c**6\/c)\/c)\/(c\/(c\/c**(-1)))**3)**(1\/70) assuming c is positive.\nAnswer: c**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cmcmm. Give prob of sequence cm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of u**5\/30 + 5*u**4\/24 + u**3\/6 - 5*u**2\/2 + 1. Let z(a) be the second derivative of c(a). Is z(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = c - 23. Let s = -24 + c. Let l be (-5)\/2*6\/(-5). Solve -l*p + p = s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5682710 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8\/(-10))\/(3\/(-15)). Suppose -6*b = -b - 2*d - 18, 18 = b - m*d. Let r(v) = v - b*v - v. Let y(z) = z**2. Determine r(y(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -23*l**2 - 19*l + 9. Let h(s) = -2469*s + 2478*s + s**2 + 4*s**2 - 4 + 3*s**2 + 3*s**2. Give 6*d(q) + 13*h(q).\nAnswer: 5*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -0.19138?\nAnswer: 0.057414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-15)\/(-6)*(-4)\/(-5). Suppose g*q = -0 - 4. Is -2 - (-3 + q) - -19 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/4)\/(1\/2). Let m(f) = -8*f + 1. Give m(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -285 + 317 - (-2 - 5) - 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2*l**3 - 6*l**2 - 3*l + 3. Let f(v) = -11*v**3 - 23*v**2 - 11*v + 11. Determine 11*a(z) - 3*f(z).\nAnswer: 11*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -224 (base 7) in base 12?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lhhhhhlhhhh. What is prob of picking 1 h and 2 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 394*v + 480*v = 325*v - 46116 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117 = 4*s - 139. Suppose 2*t = -2*t + s. Calculate the remainder when 2 - (2 - 28 - 2) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -382 - -393. Suppose s*r = 47*r - 396. Suppose 3 = x - 4. Solve -r - 12 = -3*n + 4*l, 0 = -n + l + x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -140492, -140513, -140534, -140543, -140528, -140477, -140378, -140219?\n\"Answer: 2*y**3 - 12*y**2 + y - 140483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/75, -283, 4, 3, 1?\nAnswer: -283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 6.02. Let q = 0.48 - j. Which is the third biggest value?  (a) q  (b) -0.3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(54) - sqrt(216)*6)\/sqrt(9))\/(sqrt(6)\/(sqrt(3) - sqrt(3)*-1) + (((sqrt(18) - sqrt(2)) + sqrt(2))*-2 + sqrt(2) - sqrt(2))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 8 - 745*f + 709*f + 3 + 1.\nAnswer: -36*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 629423579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -t - 28*t**3 + 29*t**3 - t**4 + 0*t + 0*t**4 + 23*t**2 as n*t + s + f*t**3 + g*t**4 + x*t**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1297 from 31.\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -65?  (a) 0  (b) 13  (c) -14  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -5*r - 4. Suppose 5*q - r*w = -5*w - 78, -4*w + 26 = -2*q. Let d be (-27)\/5 - 6\/q. Sort 5, 3, d in ascending order.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 149*r + 6*r**4 - r**4 - 150*r + r**2 to x + y*r**2 + i*r**3 + g*r + j*r**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.04 - 14.96. Let k(f) = -f - 6. Let q be k(-7). Let l = 341660 - 341660.5. Which is the nearest to q?  (a) -1  (b) l  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 2)*(-57*l**2 + 57*l**2 - 23*l**3)*(21*l + 22*l + 16*l + (0 + 0 - 2)*(-3 - 2*l + 3)) as f*l + h*l**3 + i*l**4 + y + v*l**2 and give i.\nAnswer: -2898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 7\/2 - ((-4891)\/(-402) + -13).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of 11*o**5\/60 + 5*o**4\/12 - 3*o**3 + 5. Let i(v) be the third derivative of r(v). Differentiate i(f) wrt f.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1114*i + 1118*i - 976. Is i a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-2)*a)\/((a*(a*a*a**(1\/7))\/a)\/a))**(2\/69) assuming a is positive.\nAnswer: a**(-16\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58 and 928?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 28*o**2 + 4357*o - 122007. Calculate z(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-276)\/(-66) - 4\/22. Suppose a*h = x - 0*h + 1, -15 = -5*h. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**4 - 195*r**3 - 41817*r**2 - 857613*r - 815994 = 0. Calculate r.\nAnswer: -73, -23, -1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z - 11. Let c(d) = -3*d - 12. Let h(m) = -5*c(m) + 6*l(m). Let i be h(0). Let n be -2 + (-164)\/(-24) - 1\/i. Sort -2, n, 3, -4.\nAnswer: -4, -2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0 and -2611?\nAnswer: 2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 368 - 108 - 111 - 33*o - 149.\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(152)*1*1*1)\/(5*(sqrt(528)\/(sqrt(11)*-2))\/sqrt(6)).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 + (28 - (-22 - -11)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -6*l + 2. Let v(z) = 5*z - 2. Let j(t) = -5*v(t) - 4*w(t). Let y be j(0). Differentiate -1 + 2*g**2 - 3 + y with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 7:15 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(1\/6))\/b)\/(b**11*b) assuming b is positive.\nAnswer: b**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 652430.\nAnswer: 2, 5, 53, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -182 or -177?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 398?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -251, -250, -249, -248?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(693) + 1*sqrt(693)*3)\/sqrt(11))\/(sqrt(1296) - 2*sqrt(1296) - ((sqrt(108)\/sqrt(3))\/sqrt(4) - sqrt(9))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2174 - -7?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9132 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 166*p**4 - 6*p**3 + 3990*p**2.\nAnswer: 3984*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 42489.\nAnswer: -1\/42489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*a - 138 = 26*a. Suppose 0 = b - 2*t - 3 - a, -4*t = -5*b + 124. Suppose 4*p + 40 = -b. Which is bigger: p or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s + s - s + 0*s. Let q(u) be the second derivative of 0*u**3 + 5*u - 1\/2*u**4 + 0 + 0*u**2. Give q(d(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -1499228.7 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 39, 42?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -208 divided by 104\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 20420 (base 15) to base 12\nAnswer: 4b170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17257 + 17169 = 7*p + 4*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0 and -0.162566348113.\nAnswer: -0.162566348113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 130 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffbbbbbfbb. What is prob of picking 2 b and 1 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 228 divide 1515064504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 2*((sqrt(38)\/sqrt(2)*3)**2 - sqrt(19)))*-4.\nAnswer: -1364 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 6*r + 0*r**2 + 79 + r**2 + 10*r - 51. What is z(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26360.957*-0.1.\nAnswer: -2636.0957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 4733*f - 4708*f - 5 + 9442*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24637 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) -123  (b) -6  (c) 0.3  (d) -5\/4  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 + 1*(2 + -4) and 162?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yn when two letters picked without replacement from yyyynnyyy?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 104 + -103. Which is the nearest to s?  (a) -1  (b) 4\/15  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 62 - 62. What is the fourth smallest value in 3, -1\/3, s, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/((-2)\/(-16)*-2). Determine z so that -10*z - 3*z**a - 7 + 8*z**2 - 10*z**5 - 1 + 4 - z**4 + 20*z**3 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41675 is divided by 20803.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 750\/970573?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.3 + 5. Let j = -356\/2079 - 2\/189. Sort q, j, -0.2 in descending order.\nAnswer: j, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**2 + 0*k**2 - 3*k**2 + (4 + 2 - 3)*(-k - 2*k**2 + k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 131151494 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 85\/(-528) - (-22)\/121. Let r(u) be the third derivative of -1\/240*u**6 + 0 + 0*u**3 - u**2 + 0*u - 1\/120*u**5 + b*u**4 + 1\/420*u**7. Factor r(q).\nAnswer: q*(q - 1)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*d - 3*d + 3*d)*(6*d - 3*d - 39*d) as g*d + f*d**2 + q and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1184*r = 1188*r. Solve r = w - 4 + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -2\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43 (base 5) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u - 16*u**2 + 7*u**2 + 4*u - 6*u**2.\nAnswer: -15*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (2*-2*sqrt(117) - -2*sqrt(117)*1)**2.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4641855741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 72731435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-145)\/4*2)\/(165*12\/(-1188))?\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 86898344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l - 5. Let c be a(-8). Solve -z + c - 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 355871 + -355855.6947. Let i = 15.3 - z. Round i to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/922 and 107\/557810.\nAnswer: 557810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8750793763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 6*g - 4. Let f = -32 - -25. Let z be q(f). Suppose z*m = -6, 1516 = 4*o - 3*m - m. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18637, 18639, 18651, 18679, 18729?\nAnswer: 18807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/4*54\/(-36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 20648305 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of -y**6\/120 - 7*y**5\/80 - 7*y**4\/24 - y**3\/3 - 1549*y. Solve a(p) = 0 for p.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/16650 and 121\/26640.\nAnswer: 133200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -80*f + 6*f - 1776. What is the second biggest value in f, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + t. Let u(m) = -7 + 0 + 5*m + 2 - 4*m. Let v(z) = 0 + 2 + 0. Let n(j) = 2*u(j) + 5*v(j). Calculate n(f) + p(f).\nAnswer: f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, s: 3, c: 1, h: 5, z: 4, k: 3}. What is prob of sequence cohh?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/7)*g*g**(-2\/13)*(g*g**(-1\/23))**(-1) assuming g is positive.\nAnswer: g**(-530\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3165 (base 7) in base 9?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 24 = -8. Factor 6*h**2 - 4 + 5*h**3 - 27*h - 2*h**4 - v*h**3 + 29*h - 3*h**3.\nAnswer: -2*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 399895 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001774 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g + 3800*g**2 + 2*g + 391*g**2 + 771*g**2.\nAnswer: 4962*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 3 - 9, -4*m = -5*x + 15. Solve m = 5*v - v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4961 - -4982. What is the greatest common divisor of q and 938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1475975942 to the power of 1\/3, to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 17*y + 63. What is the remainder when 46 is divided by s(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 0 - 2)*(398*a**2 - 90*a**3 - 3040 - 390*a**2 + 3037) to the form f*a + v*a**2 + p*a**3 + q and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/(-33) + (-44)\/84\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**2 + 39818*z - 198160160 = 0.\nAnswer: 9845, 10064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 1 = -c. Suppose 0 = 2*o - 3*o + 2*t + c, 3*o = 2*t + 7. What is the second derivative of 5*p - p**o - 3*p - 4*p wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 155 and 1523?\nAnswer: 236065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 4*t**2 - 2*t + 13. Let q be d(0). Let r(i) = 2*i + 9. Give r(q).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21\/122 + 289\/4514. Let f = -168\/185 - t. Find the common denominator of -17*((-488)\/164 - -3) and f.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (5\/10)\/(((-6)\/16)\/((-27006)\/28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 329 divide 62609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 176 + -179. Let j = 0 - 1. What is the third biggest value in l, j, -4, 2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -295, -1\/5 in decreasing order.\nAnswer: 1, -1\/5, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -21*f**3 + 5*f**2 - 19*f + 5. Let a(t) = 52*t**3 - 12*t**2 + 48*t - 12. Let d(r) = 5*a(r) + 12*o(r). What is the second derivative of d(v) wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/5940 and -64\/179091.\nAnswer: 3581820","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Sort 132, 5, 647, 0 in decreasing order.\nAnswer: 647, 132, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange o**4 + 6*o**3 - 2*o + 6*o - 7*o**3 - 3*o**4 + 2*o**4 + 3*o**4 + (0 + 0 + o**3)*(-1 + 7*o + 1) to k*o + p*o**4 + g + b*o**2 + l*o**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 295483?\nAnswer: 193, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (-27 - (2 - -6)) - (15 + 6 + -12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 165027058 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1134847, -2270436, -3406025, -4541614?\n\"Answer: -1135589*d + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of f**4\/24 - 19*f**2 + 6. Let x(z) = z**2 - z + 2. Calculate 2*t(k) - x(k).\nAnswer: -k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrxofzoazrrzor. What is prob of sequence rfzo?\nAnswer: 15\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 101 + -63. Suppose 2*r + h = 4*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of -o**3\/3 + 7*o**2\/2 - 6*o - 13. Calculate l(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**2 + 5704*r + 2033476.\nAnswer: 4*(r + 713)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gkgggelgelgggkq. What is prob of sequence gk?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12038 rounded to 3 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, x: 10, o: 1, v: 2}. What is prob of picking 1 v and 2 x?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -187 + t**2 - 18*t**4 + 188 - t + 31*t**4 as g*t**3 + w*t + f*t**2 + o*t**4 + s and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41 + 32. List the prime factors of r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9625738 and 870?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*q**2 - 5*q**2 - 4*q**2 + (11 - 6*q - 11)*(q - 2*q + 0*q) + 2*q**2 + 7*q**2 - 1416 + 1418.\nAnswer: 11*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 303*t + 130*t = -51*t + 10164 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3600532527.15 minus -5?\nAnswer: -3600532522.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 519, 476, 427, 372?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(12\/(-4)))\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1a2 + 362659?\nAnswer: 362467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 100.1 + -92. Let d = 7.1 - o. Is d at least 190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = l - 4, 0*t = 5*t - 2*l + 5. Which is the second smallest value?  (a) 2  (b) 3  (c) t  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 234194, 467905, 701616?\n\"Answer: 233711*w + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w = 7*w + 35577. Let u = w - 1018. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/(-72) + 21\/4. Let r(c) = c**3 - 6*c**2 - c - 4. What is r(u)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*f + 272*f**2 - 271*f**2 - 246 + 246.\nAnswer: f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 40818808 to the nearest integer?\nAnswer: 6389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -227 or -223?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - 1. Let n(z) be the first derivative of -z**4\/2 - z**3\/3 + z**2 - 7. Let u(o) = -4*o**3 - 2*o**2 + 5*o. Give s*n(h) + 2*u(h).\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -1836289*m**2. Let p(i) = -963*i. Determine p(a(o)).\nAnswer: 1768346307*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 60354*z + 120705. Calculate y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 9:31 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 1 - 11*z)*(-3 + 3 + z) as r*z**2 + s*z + j and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -1c95?\nAnswer: -1c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - -5 - 2 - -8 - 3 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 13\/9, -1 in decreasing order.\nAnswer: 7, 13\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*u**3 - 2*u**4 + 3*u**4 - 3*u**2 + u**2 + 2*u to g*u**2 + y + r*u**3 + b*u + m*u**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h - 1. Let a(p) = 8*p + 3. Let x(g) = a(g) - s(g). Let z be x(-1). Sort 4, 2, z in ascending order.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1469)\/(-234))\/(-113))\/((9\/(-42))\/(-3))?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 12\/17 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 3*u**2 - 16*u + 11. What is a(7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x + 1. Let j(c) = 3*c - 5. Calculate -10*g(w) - 2*j(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3569 * 101.\nAnswer: -36.0469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -4, -0.1, -8\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + 4*d + 1. Calculate the smallest common multiple of 9 and a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1100511, 2200963, 3301415?\nAnswer: 4401867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/6 of a hour in minutes?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 309*g + 263*g - 453*g.\nAnswer: 119*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9\/21)\/(5 - 217\/49). Let d = -0.1 + -0.9. Which is the nearest to -1\/4?  (a) 2\/5  (b) p  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {s: 2, n: 3, i: 6, k: 1, j: 1, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -597 and -0.03.\nAnswer: 17.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjjjjjbjjj.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 27815 less than 27879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/114 and 36\/1691.\nAnswer: 10146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 207158 is divided by 5844?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 397*r + 0 - 393*r + 91*r**2 + 1 - 3. Let o be h(-8). Suppose 5*c - o = -1235. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 377373 is divided by 16407?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -19*t**2 - 5. Let z(a) = -20*a**2 - 6. Suppose -63*w = -50*w - 78. Determine w*h(k) - 5*z(k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:16 AM and 9:32 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + 146a?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (7 - 0) - -9 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -31 + 32.3. Let g = 5.3 - t. Sort -3, 3\/4, 8, g in increasing order.\nAnswer: -3, 3\/4, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 21 + (-4 - 0) - (-21)\/7. Solve 51*f - v = 46*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/(-4)*3\/(-2). Suppose 30 = 4*r - 5*l, -3*r + 3*l + 25 = -2*l. Suppose r*m - 18 = 5*t - 3, -4*t - y*m - 26 = 0. Put -3, t, 1, -4 in increasing order.\nAnswer: t, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -20b9 - 2db?\nAnswer: -23a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 21332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/11 smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3835 divided by 5678.\nAnswer: 3835\/5678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 651*-13\nAnswer: -8463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 divided by -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-80)*5830\/(-1166)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/(h\/(h\/(h*h*h**(2\/5)\/h)*h)))**(-4\/5))**(-3) assuming h is positive.\nAnswer: h**(96\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 5:22 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + r + 1. Suppose 24 = 4*x - 0*x. Let u(c) = 4*c**3 + c**2 - 8*c - 5. Let n(t) = x*d(t) + u(t). Let j be n(1). Which is smaller: -1\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126382.\nAnswer: 2, 29, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4680 + 288.15.\nAnswer: 4968.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**3 - 21288*j**2 - 769284*j - 6932304.\nAnswer: 3*(j - 7132)*(j + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84 and 53634?\nAnswer: 107268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6135607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 5 + (sqrt(1900) - (sqrt(1900) + -2)*5 - (2 + sqrt(1900) + sqrt(1900) - sqrt(1900))*-3).\nAnswer: -10*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + w**3 - w**4 + (0*w + w + 0*w)*(-204*w - 587*w**3 + 204*w).\nAnswer: -588*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 7*r**2 + 7*r + 6. Suppose 2*h = 11 + 5. Let j be y(h). Let k be (0 - 4\/j) + 61. Calculate the greatest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.531 * -124.\nAnswer: -189.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -717 = -18*g + 1047. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249773952 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -31 - 1. Let k(a) = a + 2. Let w be k(8). Calculate the lowest common multiple of h and (-2)\/((w\/9)\/(-5)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 7*g - 30 = 0. Is 15 a factor of 4 - (-2 + g + -218)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -30*l. Let p = 1826 - 1824. What is a(p)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 51922 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1001001212333 + 10?\nAnswer: 1001001212343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2647 - 2647 - 739*f + 2*f - 6*f + 14*f - f - 2 + 2 + 1 - 1 - f + (0 + 4 - 3)*(2*f + 0 + 0) + 2*f + f - 2*f to s*f + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*o**2 - 106239*o + 29*o**2 + 26*o**2 - 88*o**2.\nAnswer: -o**2 - 106239*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + y + 1 - y**4 + 12*y**3 - 2*y to i*y**4 + h + u*y + x*y**2 + n*y**3 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -125 - -151. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 + -16. What is the derivative of 4 + 1 - 10*a**3 + 10*a**3 - h*a**4 wrt a?\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151557 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xds when three letters picked without replacement from {s: 6, d: 1, x: 1, i: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57272317?\nAnswer: 57272317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*n**2\/4 - 625*n\/8 - 643\/8.\nAnswer: (n + 1)*(18*n - 643)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - -45. Calculate the highest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.28 + -740.28.\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*b**3 + 27*b**3 + 29*b**3 - 93*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107.1*-3.\nAnswer: 321.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6619237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do -15194 and -288708\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 12 + -8 - 5) + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -5*u. Let x be l(-3). Suppose 2*w - x - 35 = 0. Suppose w + 59 = 4*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23 and 85712789.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 483 and 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.6375879 to one dp.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -2. Suppose h = -4*i + 2 + 2. Sort -3, i, -4 in descending order.\nAnswer: i, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -376*l - 3 = -379*l - 2*w, -3*l + 5*w = 60 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - -1 - (-80 - -77)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 16\/2*9\/12*-1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 506*i**2 + 12166*i - 29. What is o(23)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (162657\/(-17490))\/((-6)\/(-20))*1\/1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n + 0*n + 4720*n**2 - 1299*n**2.\nAnswer: 3421*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197886913 is divided by 329?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 8:26 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6759.2 rounded to the nearest one hundred?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 46, -4, 4 in increasing order.\nAnswer: -4, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -64.0007 + -0.1493. Let s = k + 1.15. Let w = 62.9961 + s. What is w rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2708 + 2708 + 9*s as w*s + k and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12\/7*o + 3\/7*o**2 + 0 = 0. Calculate o.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -16730*s - 359. Does 17 divide g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -309344\/33 at least -9373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 + -1)\/(3\/99). Suppose -4*x + 845 = 5*t + 139, -5*x - 322 = -2*t. Let r = w + t. List the prime factors of r.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-198)\/(-110)*112\/(-252))\/(2\/(-115))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h - 90 = 10*h. Calculate the remainder when h is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z + 3. Let d(l) = -l - 1. Let x(t) = -c(t) + 3*d(t). Calculate x(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7614, -12, -58 in descending order.\nAnswer: -12, -58, -7614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 0.5, 2\/11, 2\/17, 9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + (5 - 3))*(-1)\/24. Let b(u) be the third derivative of 7\/6*u**3 + w*u**4 - u**2 + 0*u + 0. Calculate b(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1453 is divided by 377.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 88704*f**3*y - 61*f*y - 2451660*y + 4 with respect to f.\nAnswer: 266112*f**2*y - 61*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1484269 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + v)*(-2*v + 0*v + 0*v + (v + 0 + 0)*(2 - 1 - 2) - 9 + v + 9 - 2*v + 1 + v - 2*v).\nAnswer: -5*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g**(-1\/22)\/g*g*g)\/((g*g**(-4))\/g))\/(g**(4\/5))**16 assuming g is positive.\nAnswer: g**(-643\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3893103 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -9, -1.9, 1, -3.\nAnswer: -9, -3, -1.9, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8805, -8803, -8801, -8799, -8797?\n\"Answer: 2*t - 8807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 - 47 + 91 + 2*i**3 - i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 578 + -192. Let c = -784 + k. Is (-1 - c)*-1*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 - 20. Which is the nearest to -2?  (a) m  (b) -0.4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 2*q = 3*k - 7, -5*k - 3*q + 7 = 0. Suppose 0 = -s + k*s. What is the units digit of s + ((-1)\/(-1) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27590 divided by -2\nAnswer: -13795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + (-54 - -32) + 53 + (-110 - 2)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34188328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*b - 10*i + 85 = 0, -i + 22725 = -2*b + 22718 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of z**3 + 1413*z**2 + 665523*z - 351. Factor j(y).\nAnswer: 3*(y + 471)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52003 (base 7) to base 16\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 374625 by -13875.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5\/10 + 1)*2. Solve w = g - 2*g, -g - 2 = p*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32 - 3*h**3 - 138 - 15*h**2 + 13*h**2 - h**3 - h + 6*h**3 wrt h?\nAnswer: 12*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 215540000 to the nearest one million.\nAnswer: 216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6701*m - 10096*m = 1016734 + 343823 for m.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-393)\/(-524))\/((-3)\/(-3)). Factor c*b**4 + 4*b + 13\/2*b**2 + 4*b**3 + 3\/4.\nAnswer: (b + 1)**2*(b + 3)*(3*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 0. Let t = w + 8. Let b = t - 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of -353*g**3 + g**2\/2 - 210*g + 3089. What is the second derivative of m(o) wrt o?\nAnswer: -2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.081929794 plus 0.13?\nAnswer: 0.048070206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.18  (b) 0.4  (c) 5  (d) -6  (e) 289  (f) 4  (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*j - 11*j + 58. Sort 1305, 2, j in decreasing order.\nAnswer: 1305, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 4) + 33 + 579 + -594 + 68?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33\/198*(0 + -4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-4)*(-22)\/(-627)*(-423)\/(-141).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126838.\nAnswer: 2, 63419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 592\/20 + -4 - 6\/(-15). Suppose -j*r - 13 = -39*r. Let d(y) = 2*y - 7. Let a = -33 + 39. Let v(o) = 1. Determine a*v(g) + r*d(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 8*p**2 - 4*p - 1. Let d(k) = -3*k**2 - 60*k - 125. Let z be d(-2). Let n(c) = 23*c**2 - 12*c - 3. Give z*r(x) + 6*n(x).\nAnswer: 2*x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -794317*x - 3177359. What is z(-4)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6951 - -93a?\nAnswer: 7790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -153 + 157 + (0 + -3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -258 + 305. What is the remainder when s is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8.55 and -0.5.\nAnswer: -4.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*n - 15*n = -3*q - 15, 0 = 2*n + 2*q - 22 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 PM and 8:46 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + 14*u**2 + 31*u + 28. Give r(-11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3*sqrt(242)\/(2*-2*sqrt(11)))\/((sqrt(24)\/(sqrt(18)\/sqrt(3)))\/(-4*sqrt(18))).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**0)**(15\/7)*g**5*g**(1\/2)*g)\/((g*g*g*g*g\/(g\/(g**0\/g))*g*g)**(-3\/5)*g**(-6\/5)*g**7*g*g) assuming g is positive.\nAnswer: g**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 571949 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -1. Calculate the remainder when 0 - (-88 - (-4 + q)) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**2 + 66379868*t + 550785859462178 = 0. What is t?\nAnswer: -16594967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/(-40) - 2\/8. Suppose a = -5*i + 1 + 4. Let m = -3 + 23\/8. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2683692 and 1458?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3*k)*(-877*k**4 + 69*k**4 + 500*k**4).\nAnswer: 924*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15\/(-9)*(2 - 5). Solve 4*n = -b - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, f: 2, c: 2, p: 1, g: 2, e: 1}. Give prob of sequence fpf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 851 is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 11354.94101 and -0.01?\nAnswer: 11354.95101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4030 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.0159 - 3. Let r = -109.5841 - d. What is r rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 135, 546, 1235, 2202?\n\"Answer: 139*u**2 - 6*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -501534 plus 0.2?\nAnswer: -501533.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-84*u**2 + u - 244*u**2 - 191 + 193)*(2*u - 5*u - u) as w*u**2 + g*u**3 + d*u + b and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -41*r**2. Let k(d) be the first derivative of 4*d**3\/3 + 171. Determine k(m(q)).\nAnswer: 6724*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 + 9.6. Let o = q - 9.9925. What is o rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -220*g - 1514. What is the hundreds digit of m(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/37669260 and -1\/308?\nAnswer: 2900533020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - 11*d**2 + 26*d + 2. Let b be c(-13). What is the highest common factor of 14 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 481\/111 + (-6)\/1 - -2. Suppose -3*f + 3*x = 0, 5*x = -4*f + 6*f + 15. Factor 1\/3*h + 0*h**3 - s*h**f - 2\/3*h**2 + 0 + 2\/3*h**4.\nAnswer: -h*(h - 1)**3*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -81.\nAnswer: -7\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-13\/4)\/t)**(-3\/4)\/(t**(-4\/17)\/t*t\/t**(-2\/39)) assuming t is positive.\nAnswer: t**(35765\/10608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 38\/(-240) + (-5)\/(-25). Let q(y) be the third derivative of 0*y - y**2 + 1\/3*y**3 + g*y**4 + 0. Differentiate q(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12491 (base 11) in base 7?\nAnswer: 103102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 9:53 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -204 divided by -17.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of 11\/2*c**2 + 0*c + 12 - 5*c**3. Find the second derivative of o(v) wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5706673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-9))\/(2\/(-18)) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in twenty-nine halves of a second?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -64 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 90 + -32. Let n = m - 110. Let l = n - -52.0122. What is l rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94 - 100 = 4*n - 5*i, -3*n + 67 = 32*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 113\/462 + -6\/77. Let t(m) = m**3 + 4*m**2 - 5*m - 3. Let q be t(-5). Sort 2\/5, v, q in decreasing order.\nAnswer: 2\/5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/g**(-4)*g*g\/(((g\/g**(-3\/11))\/g*g*g)\/g) assuming g is positive.\nAnswer: g**(63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 7*m - 2*m. Suppose -m*a + 29 = -4*q, -2*q + 5 = 5*a - 0. Let r be (a - 1 - 0)*18. What is the greatest common factor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10749*b + 10733*b + 3 - 3 - 21492*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2\/7 - 33*m\/7 + 90\/7.\nAnswer: 3*(m - 6)*(m - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.486334ns to seconds.\nAnswer: 0.000000001486334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -127, -161, 43 in decreasing order.\nAnswer: 43, -127, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 51 - 11 = 0. Calculate the greatest common divisor of 30 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 46885 + -27764. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 101*c**3 + c**2 - 4*c - 4. Let l(j) = 303*j**3 + 2*j**2 - 11*j - 11. Determine 11*f(y) - 4*l(y).\nAnswer: -101*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0826 + 0.082598876. What is u rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/21 or 0.009?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of j**4\/4 - j**3\/3 + 5*j**2\/2 + j - 6. Let x be b(4). Calculate the highest common factor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 11, 123, 317, 599, 975, 1451?\n\"Answer: n**3 + 35*n**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -884*n - 112*n = 9284 + 31552 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 5*l + 79 = -0*l, -5*l - 217 = 3*g. Let m = g - -86. Solve -2*a = -5*a + m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -29 and -6049.\nAnswer: 175421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1824.477mg in nanograms?\nAnswer: 1824477000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25843274?\nAnswer: 2, 31, 101, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 266 - 5567\/21. Calculate the common denominator of c and 43\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from kxknkkxnkxkxxknkkxnk.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 5*h - 7 = -5*k, 0 = h + 3. Let d be ((-2)\/(-6))\/((-10)\/(-24)). Put 4, k, d in descending order.\nAnswer: 4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10) + -6*(-1*sqrt(10) - sqrt(10)) - sqrt(10)) + sqrt(10))\/(-2*sqrt(8)\/sqrt(4)).\nAnswer: -13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 43367952 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*x - 868307 = -869352 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**(1\/11)))\/(l\/(l**(-1\/4)\/l))*l*l\/l**16*l**(2\/23)\/l assuming l is positive.\nAnswer: l**(-17461\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 31707 + -22?\nAnswer: 31695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.43 + 0.23. Let s = -5293 + 5292. What is the closest to s in -4, p, -0.07?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 2*s + s)*(0*s + 2 - 3*s + 9*s - 4*s**2).\nAnswer: -4*s**3 + 6*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23 + 24.7. Let j = v - 2. Let z = 0.4 + 0. Put j, z, 1\/5 in increasing order.\nAnswer: j, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of -71*q**5\/60 + 3*q**4\/2 - 1517*q**3\/2 - 2*q**2 + 1017*q + 1. Find the first derivative of m(z) wrt z.\nAnswer: -142*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -72 + 74. Let o(h) = 2*h**2 - 4 + b - 1 + 0 + 5*h. Let g(f) = 10*f**2 + 24*f - 14. Determine 3*g(k) - 14*o(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 3. Let w be -1 - (2 + (-73500)\/(-115)). Let c = -642 - w. Which is greater: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -1*5*(sqrt(1331)*2 + 4))*-5)**2.\nAnswer: 110000*sqrt(11) + 3337500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 60299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6529 + -b?\nAnswer: -6537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8692196122?\nAnswer: 2, 59, 73662679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (50\/(-20))\/(2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3 = 61. Let g(v) = -5*v + 9. Let d be g(4). Let j(w) = w**2 + 29*w + 214. Let n be j(d). What is the highest common factor of o and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -60*u + 293. Determine q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/9, -0.34, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20393 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 184133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2 = -7. Which is greater: g or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - z = 194, 2*r - 4*z - 1068 = -1156 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of 11*m**2\/2 - 2*m - 70. Let a(w) = 275*w**2 + 282*w**2 - 562*w**2. Give n(a(h)).\nAnswer: -55*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -48\/4817 and 5\/12?\nAnswer: 57804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 10\/360*12*6\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 2*n - 0*n. Suppose 0 = 5*u - n + 15. Suppose 7 = 2*s - 3*r, -3*s - u*r = -r - 19. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 364\/70 - 3\/15. Let n be 0\/6 - 2*1. Sort 2, n, g, 0 in increasing order.\nAnswer: n, 0, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 5. Suppose 0 = -3*j - s*j + 6. Suppose 5*q - 1 = -2*o - 8, -2*o + 3*q + 17 = 0. Solve 0 = o*g + 10 + j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -11*y**3 + 160*y**2 - 28*y - 664. Let k(i) = -4*i**3 + 53*i**2 - 11*i - 221. Let b(w) = 8*k(w) - 3*n(w). Solve b(l) = 0 for l.\nAnswer: -2, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 4 + 2)*(a**2 + 0*a**2 - 2*a**2) + 0*a**2 + 10*a**2 + 8*a**2)*(2 + 1 - 4).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 9*z - 14*z - 25 = 0, 3*z + 19 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pbvnvgbup. What is prob of picking 1 u, 1 g, and 1 n?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -142 - -205. Calculate the remainder when s is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/324 and 83\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -3*h**2. Let d(i) be the third derivative of 5*i**4\/24 - i**2. What is d(p(x))?\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 204137154.\nAnswer: 1\/102068577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**3\/7 - 788*f**2\/7 + 37600*f\/7 + 120000\/7 = 0. Calculate f.\nAnswer: -3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -2*f**2 - 74*f + 4*f + 9*f**2 + 245 - 2*f**2 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -315, -619, -941, -1281?\n\"Answer: -9*z**2 - 277*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1302321 (base 4) to base 6.\nAnswer: -54013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 21, 15, 9, 3, -3?\n\"Answer: -6*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 2 = 204*c - 207*c, 0 = -4*c - g + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4928712 plus -0.052969?\nAnswer: 4928711.947031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6735278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 11. Does 7 divide z\/(-27) + (-268)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*c + 2*c + 0*c)*(-1 + 0 + 2)*(4 + 0 + 1)*(6 - 1 - 2) as k*c + w and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 235, -1\/12, -5?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 12 + 14 + -29.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 4 + 10 + -4 + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -4*j + 56000000, -3*q + 70000000 = 5*j - 0*j. What is j rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.894178 + -1.84462. Let d = u + 1.890399. Let x = d + -0.94. Round x to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((28000\/21)\/50)\/(8\/((-720)\/25)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 81\/(-36)*9490\/8541.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - (12 + (-15 - -7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ngy when three letters picked without replacement from zzgynnzgynzznzzgzzgz?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w = 17*w - 152*w - 2860 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (31\/124)\/(3\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*g = -168*g - 334*g + 10780 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 4*q. Let y be k(2). Suppose y*j - 6*j = 188. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*4*(-3*(sqrt(143) - 1*-1*sqrt(143) - sqrt(143)))\/(sqrt(396) - sqrt(396)*-2*-6))**2.\nAnswer: 832\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 10, -7 in descending order.\nAnswer: 10, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/15?  (a) 2\/5  (b) 12  (c) 2\/9  (d) 0.1  (e) 2\/10387\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g\/(g\/(g\/(g**6*g)*g)*g))*g*g**7*g*g\/(g*g*g**(-1))*g**(4\/5)*(g**(-1\/2)*g)**21\/(g*g**(1\/2)*g*(g*g\/(g**(-2\/3)*g))\/g*g) assuming g is positive.\nAnswer: g**(347\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.94 * -7.\nAnswer: 6.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2 - 3*f + 4.\nAnswer: -(f - 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 - -110 - (-13 - (6 - (3 - 2) - 10)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4645 = -5*w - 5*q, 5*w - 4*q - 906 - 3766 = 0. Suppose 3*n + w = 5*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2 - 7 + 0 - 2*j. Let o(k) = k. Let w(y) = c(y) + 3*o(y). Let m be w(6). Which is smaller: m or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) + -5*(sqrt(300) + sqrt(300)*-2) + sqrt(300))\/sqrt(6) + 2)*5.\nAnswer: 10 + 175*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 + -15. Let o be ((-15)\/16*-4)\/(f\/4). Let t(p) = 2 - 1 - o*p - 1. Let i(a) = 3*a**2. What is i(t(q))?\nAnswer: 675*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5547 + 5611. Calculate the remainder when 1340 is divided by v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -3*n**3 - n**2. Let q be w(-1). What are the prime factors of ((-2)\/q)\/(-1) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 356302.5us to nanoseconds.\nAnswer: 356302500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00015795 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004815716 rounded to five dps?\nAnswer: -0.00482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2840 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -7746520 to the nearest ten thousand.\nAnswer: -7750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2030 + 2143. Solve -158 + l = -9*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 123355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -6086, -12170, -18254, -24338, -30422, -36506?\n\"Answer: -6084*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -4*i**4 + 3*i**2 - 110*i. Let w(a) = 3*a**4 - 2*a**2 + 110*a. Let l(b) = 4*j(b) + 5*w(b). What is the second derivative of l(q) wrt q?\nAnswer: -12*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1320, 4, -2\/9, -198 in decreasing order.\nAnswer: 4, -2\/9, -198, -1320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4 + 10 = 0. Let u = 16 - q. Put u, 1, 5 in ascending order.\nAnswer: 1, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -208*m + 387*m - 199*m - 1.\nAnswer: -20*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15156*i**2 + 2*i + 205?\nAnswer: -30312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2\/4 + 11*b\/2 - 23\/4.\nAnswer: (b - 1)*(b + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2 = 6. Let m be (-56)\/12 - (-4)\/6 - -11. Let p be m - (112\/(-40) - (-1)\/(-5)). Solve t*z - p = 7*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.7188 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -11, 2, -2796?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.09953 * 62\nAnswer: 6.17086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 3. Suppose 5*r + 3*f = 10, 0 = -4*r + i*f + 75 - 30. Find the second derivative of -2*s**5 - 4*s - 2*s**r + 2*s**5 - s wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1199 = 51*c + 200 - 225. Solve c = 32*s + 56 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*o = 43*o - 87*o + 8172. Calculate the least common multiple of o and 1.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 85901 divided by 163\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10020212 (base 3) to base 5\nAnswer: 33442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -16*t - 1. Let l(w) = -w. Calculate -2*l(m) - y(m).\nAnswer: 18*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5 + (27\/135 - (-1)\/(-5)). Let l be 120\/(4 + -2) + -1. Suppose 4*t + 4*n - 32 = 156, -t = a*n - l. What is the remainder when t is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 6, w: 2, r: 1, p: 2}. What is prob of sequence wpx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 149507.\nAnswer: 149506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*b + 41*b - 14*b to the form z*b + c and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3.23 or 401609?\nAnswer: 3.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3584, -3572, -3462, -3254?\n\"Answer: 49*d**2 - 135*d - 3498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 164943 and 24436.\nAnswer: 659772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 12*x - 14*x. Which is the closest to 0.1?  (a) -4  (b) 0  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, 428 in decreasing order.\nAnswer: 428, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -m + 3161*s - 3164*s, -m - 3*s - 9 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 6*s**2 - s + 2. Let f(m) = -m**2 - 3*m + 6. Let u be f(-6). Let k = u - -6. What are the prime factors of o(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23 + -9. Let g = -14 - -99. Suppose -124 = -19*b + g. Solve -2*a - b = 3*a + 3*n, 4*a + 5*n + j = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 495 is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 - 121. Let o = 554.7 - 521. Let l = n + o. Round l to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*h - 18*h - 18*h**2 as i*h + k + l*h**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -193*o**2*p*x**2 - 2*o**2*x**2 - 3*o*p + p + 14*x**2 + 6 wrt o.\nAnswer: -386*o*p*x**2 - 4*o*x**2 - 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24316499 is divided by 215.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*1*1\/2. Let u = 10 + -5. What is the second smallest value in u, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8319 = 241*l - 4213 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3466346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 106198518*d**2 + 170189230 wrt d.\nAnswer: 212397036*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 30429 + -10.37?\nAnswer: 30418.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((28\/6)\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -134 + -55. Let o = g - -191. Solve -18 + 24 = -o*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -286.992846.\nAnswer: -860.978538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 25995d0?\nAnswer: 25995d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) + -1*sqrt(121)*4 + (sqrt(121) - sqrt(121)*-2)*5)*1)\/((sqrt(176)*-3*-5 + sqrt(176) - sqrt(176))*-1).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -8*f + 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0*(-6)\/(-120)*(-2)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -52 + 114 + -69 + -16.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 - -10)*(-2)\/(-4). Suppose 4*s - 5 - n = 0. What is the first derivative of -2*l**s - 1 + 1 - l**2 - 2 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -4*v + 3*i, -2*i = 5*v + 12 - 95. Is v at least as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 288\/54*21\/14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.6 + -3. Let t = 0.1 - 0.16. Let s = 4403 - 4404. What is the smallest value in t, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -6*o**3 + 9*o**2 - 4*o + 3. Let t(z) = 2 - 5*z**3 - 3*z + 2 - 1 + 8*z**2. Let a(q) = 5*t(q) - 4*w(q). Is a(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*r**4 - r**3 - 11*r + 12*r - r**3 - 1 - r**2 to the form h + w*r**4 + j*r**3 + b*r**2 + o*r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 75*z**3 - 10*z**2 + 10*z + 10. Let j(x) = -1246*x**2 + 2 + 2487*x**2 - 1244*x**2 + 3*x + 25*x**3 + 1. Give 10*j(a) - 3*n(a).\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from povtyopopppbb. What is prob of picking 1 p and 1 v?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 120383352 to the power of 1\/2, to the nearest integer?\nAnswer: 10972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.63 + -0.23. Round a to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 97\/4 - 293\/12. Which is the second biggest value?  (a) -2\/3  (b) -8  (c) 0.1  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 319.12 times -735?\nAnswer: -234553.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 369 and 3554167?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0123041 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**5\/11 + 1988*r**4\/11 + 499952*r**3\/11 + 2952160*r**2\/11 + 5872672*r\/11 + 3904576\/11.\nAnswer: 2*(r + 2)**3*(r + 494)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.4 or -5.8?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4964 - 367 - 11*m + 17*m - 604 - 7*m.\nAnswer: -m + 3993","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -12, -13, -14, -15?\n\"Answer: -j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4883634.3 - -4883660.3000015. Let b = 218 + -192. Let m = b - a. What is m rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -0*a. Suppose a*h = -4*h. Find the second derivative of -10*g**5 + 10*g - g**5 + h*g wrt g.\nAnswer: -220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291621?\nAnswer: 3, 11, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 - 5*a**2 + 8*a + 18. Let c = -72 + 80. Suppose -14 = 7*i - 3*i - 5*f, 5*f = 3*i + c. What is the smallest common multiple of 11 and o(i)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -12*g**4 - 133*g**3 - 325*g**2 - 158*g + 175. Let d(f) = 4*f**4 + 44*f**3 + 108*f**2 + 52*f - 58. Let k(h) = 14*d(h) + 4*j(h). Factor k(b).\nAnswer: 4*(b + 2)**2*(b + 7)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1\/5, 2\/9, 1129 in decreasing order.\nAnswer: 1129, 2, 2\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2 and -153515.\nAnswer: -153513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 272313265?\nAnswer: 5, 7, 2729, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 646 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1792656527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2301708 + -2301721.999944. Let q = p + 14. Round q to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**2 - 17*z - 3. What is v(17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*i*q**2 - 17*i + 97*q**5 + 7*q wrt q?\nAnswer: -6*i + 1940*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.129 - 1.3. Let n = f + 4.171. Let s be (-18)\/8 + (-2)\/2. Which is the second smallest value?  (a) n  (b) s  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 97*q**5 - 4*q**3 - q**2 + 192*q?\nAnswer: 5820*q**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + w + 2. Let u(x) = -2*x**2 + 3*x + 3. Let s(y) = 13*l(y) - 6*u(y). Let a be s(-6). Is a greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-8)*8\/14. Let x = -22.4 + 25. Let w = -1.6 + x. Which is the closest to 0?  (a) f  (b) 0.2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -3*g - 8. Let n be m(-4). Solve -9 = -k + n*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -5151.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) 0.3  (c) 2  (d) -4.3  (e) -27\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b510 (base 14) to base 9\nAnswer: 46682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010010111000100 - 0?\nAnswer: 1010010111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q - 30*q + 247 = 0. Suppose -q*d + 7641 = -5073. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + (12\/4 - 3). Let m(s) = 4*s - 1. Let g be m(x). What is the second biggest value in -2, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7634 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/12 and -91\/2706.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h**4 - 9957*h**3 + 9963*h**2 + 9957*h - 9960 = 0. Calculate h.\nAnswer: -3320, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 - -3)*(-3 + 5)*-44456. Suppose -4*o + 88922 = -2*j, n = 2*o + 2*o - 4*j. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 61920 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200 (base 3) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 - 5*c**2 + 10*c + 31. Let d be w(-6). Are 6\/7 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 543 - -2868. Let n = -2050 + l. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, y: 9, n: 1, c: 4}. Give prob of sequence xcy.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1701640803.\nAnswer: 3, 79, 7179919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6734026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 96\/14 - (-3)\/21. Solve -5*b = -7*b - n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + 2)*(2 - 1). Let t(o) = -564*o**2 + 188*o**2 - 2 + 4*o + 187*o**2 - o**3 + 191*o**2. What is t(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -5*u + 3*g, 10*u - 5*g - 33 = 6*u. Suppose -u*l = -17 + 3. Let i(k) = 3 - 4*k + 2*k - 2*k**2 + k**2. Determine i(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 2*b + b)*(-2*b - 3*b + b**2 + 2*b**2)*(-2 + 5 - 4)*(-584 + 97*b + 88*b - 187*b).\nAnswer: 6*b**4 + 1742*b**3 - 2920*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 + -6)\/((-29 + 48)*(-1)\/(-1)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 6*m**3 + m**2 - m + 1. Calculate the lowest common multiple of 7 and w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - 1245342302?\nAnswer: -1245342310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 380373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*o + 15 = 33*o. Suppose -u = u - 2*l - 6684, o*u - 3*l - 16714 = 0. Suppose 8*w - u = -3*w. Does 35 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4.40538751 and 3.303.\nAnswer: -1.10238751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 + -1 + 2)*-2. Suppose 1 + k = s. Solve 41*p**2 + 9*p**4 + 19*p**2 + 42*p**s + 9*p + 15*p = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1833549034.\nAnswer: 2, 1093, 838769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 8 = -4*h - 344, -q + 2*h = -344. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k**2 - 4 - 6 + 4 - 3*k**2 as f + h*k**2 + r*k and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 16) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 + 2*x**2 - 2 + 5*x + 4. Let b be ((-1)\/(-3))\/((-6)\/90). Let s be n(b). Solve s*k - 6 = -0*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-2)*5\/(-10). Let k = 0.037 + -26.037. Let y = 28 + k. What is the third smallest value in l, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 110*q - 1608. Calculate the least common multiple of m(15) and 8\/12 - (-25)\/3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1877136289.\nAnswer: 7, 268162327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/4  (b) -0.01088  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -58 - (1 - (12 + -10 + 8 + -14))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 17*l + 15*l - 1 - 27*l. What is v(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -297 - -299. Determine r, given that -4*r**2 + 0*r**y - 12*r + 371 - 299 = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 15*p**4 - 11*p**2 - 11*p + 5. Let f(n) = -8*n**4 + 6*n**2 + 6*n - 3. Let h(b) = 11*f(b) + 6*i(b). What is the derivative of h(q) wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a**3 + 80*a - 79*a - 8*a**3 - 1 + 22*a**3 + a**2 + 15*a**3 in the form g + v*a + j*a**2 + p*a**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-2))\/((-20016)\/(-360) + -60)\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -5*u**5 - 87*u**4\/4 + 23*u**3 - 9*u**2\/2 + 37. Let y(i) = -i**3 - i**2 + i. Let z(w) = -3*q(w) + 21*y(w). Factor z(h).\nAnswer: 3*h*(h + 4)*(5*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.3707 and -3.89.\nAnswer: -3.5193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express z**3 + 4*z**3 - 4*z**3 + (-4*z**2 + 0*z**2 + z**2)*(-3*z + 2 - 2) - 5*z - 6*z**3 + 5*z in the form d + b*z + t*z**3 + p*z**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4232 - -4231. Which is smaller: j or -1\/1551?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(880))\/(sqrt(245)*1) + -5.\nAnswer: -5 + 8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 206*f + 163*f - 402*f. Let r(p) = -p. Determine v(r(g)).\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 295?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -1\/3513?\nAnswer: -1\/3513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6578\/109991 - 2\/5789. Let r be 4\/(-6)*12750\/1064. Let y = d - r. What is the common denominator of 73\/12 and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3201 a factor of 59477781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + 1.05. Let h = r + -0.05. Let i = 5 - h. What is the closest to i in 2\/5, 4, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7\/1 - (-58)\/(-8). Let t = 0.4 - 0. Which is the third biggest value?  (a) 0.2  (b) 6  (c) r  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 >= 117957\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((y\/(y*y**(-1\/3)\/y))\/y)*y\/y**(-6))**45)**(-27) assuming y is positive.\nAnswer: y**(-9315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.72 - 0.02. Let y = 4.5 + 1.5. Let d = y + -5. Which is the closest to d?  (a) h  (b) 3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 10:39 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 3782?\nAnswer: 11346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43 or 1771?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -719*j - 1239*j - 38 + 567*j + 17 + 21.\nAnswer: -1391*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 3)\/(44\/11)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -3*a + 12, -3*a + 0*a = m. Let d(c) = -769*c**3 - c**2 - c. What is the tens digit of d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -5. Let v be (1695\/(-18))\/(4\/(-13)). Let n = v - 306. Which is bigger: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -672017 take away 0.02?\nAnswer: -672017.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 89*a. Let z(p) = -371*p - 5. Let y(i) = 297*i + 4. Let l(d) = -5*y(d) - 4*z(d). Calculate l(f(w)).\nAnswer: -89*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 462791500 rounded to the nearest 100000?\nAnswer: 462800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c - 3. Let d be o(6). Suppose -f + 0*g + 4*g + 22 = 0, 5*f = -4*g - 10. Solve d*x + 10 = f*k, 4*x + 7 = 3*k - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-4\/9)*u\/u**15*(u\/u**18)\/(u\/(u*u**(-15))) assuming u is positive.\nAnswer: u**(-418\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 82888359 to the power of 1\/3, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**14\/o*o)**(-4\/5) assuming o is positive.\nAnswer: o**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - 13. Let k = 2.0000007 - g. What is k rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 128693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -3*n + 5*k - 13, 4*k = 12. Let z be ((-16)\/156)\/(n\/(-3)). Which is the second smallest value?  (a) 3\/5  (b) 2\/7  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + m**2 - 2. Let c be g(0). Let d = 48.12 - 49. Let b = d + 1.08. What is the closest to b in c, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (236\/9440*-60)\/((3\/57)\/(-1)).\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*j*r**4 - 24*j*r**3 - 8*j*r**2 - 24*j*r wrt r.\nAnswer: 216*j*r - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 36*d**2 + 1356*d - 321*d**4 - 2*d**3 + 146*d**4 + 2*d**3 + 162*d**4 wrt d.\nAnswer: -156*d**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 14*w**2 + 13*w - 10. Give d(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 50778 and 3588.\nAnswer: 2335788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*h + 2*h - 2*h + 2*h + 0 + 0 + (0 + 2 - 3)*(-5*h + 4*h + 0*h) + h - 375 + 375.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4362?\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 3230 + 3206 = 0, 2*i = -4*h + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*2133\/(-1755)*(-650)\/(-100)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -3 + 4 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*h**2 - 2*h**2 - 2*h**2 + (3*h - 3*h - 4*h)*(-3*h + 0*h + h) as x*h**2 + a + q*h and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - p + 160 = 0. Let o = p + 62. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230*r - 294 = 272*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11433865 to the nearest integer?\nAnswer: 3381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, t: 12}. Give prob of picking 2 b.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 9) to base 5\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -51 - -58. Suppose -4*y = -i*y + 903. Suppose 2*g - 5*n = y, -2*g - 5*n = -2*n - 277. What are the prime factors of g?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -53.7  (b) 1\/3  (c) 0.5  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 3  (b) -0.21422  (c) -2\/6417\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 3*h - 13 = 16, 3 = 3*z - 4*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*h + 4 = -55*h. Let b(l) = -h*l**2 + 4 - 4 + l + 2 - 2*l**3 + 0*l**3. Let x be b(-1). Sort 0, x, -1, 4 in increasing order.\nAnswer: -1, 0, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/8 + 15*g\/8 - 3\/2.\nAnswer: -3*(g - 4)*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-159)\/(-2))\/(4\/(-8)). Let f = -4773 - -4704. Let v = f - n. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 - 10. Suppose m - 2*j + c = 0, m - j = -4*j + 17. Let h(u) = 8 - 3 - 5*u**m + 3*u**2 - 5*u - u. Determine h(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 6 - -134) + (-369 - -375)\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.6?  (a) -1275161  (b) -2  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a + 50. Let v be f(-20). Suppose v*x - 8*x = 20. Suppose -35 = -3*t + 1. What is the lowest common multiple of t and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 11199090.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, y: 1, u: 2, o: 10, v: 3, k: 2}. What is prob of sequence yuk?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, 2\/129, 2\/7 in increasing order.\nAnswer: 2\/129, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -18*f**2 - f**3 - 107875*f + 22 + 107876*f + 4*f**2. What is o(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5124*i**2 + 28008*i - 28008*i - 1157 wrt i?\nAnswer: 10248*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2*r**2 + 2 + 7.\nAnswer: 2*r**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -250556, -501113, -751670, -1002227, -1252784?\nAnswer: -1503341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = -3*i + i + 4*d, -2*d + 38 = -4*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)\/(sqrt(14)\/sqrt(2)*-5))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 857 or 2467?\nAnswer: 857","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -23117*a + 208009. Give h(9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2960922 by -2166.\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*n + 7*n - 2*n + 0 + n + 0 + n + 2 - 2 + (4 - 4 + 1)*(3*n + 0*n - n))*(-1 + 5 + 0) as a + w*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 80849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -26*l + 1. Let j be o(-4). Let w = 93 - j. Which is bigger: w or -13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 13) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2439 is divided by 271.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 7 - 3)*(-3*x**2 + x**3 + 3*x**2) - 15*x - 14*x**3 + 15838*x**2 - 31681*x**2 + 15847*x**2.\nAnswer: -13*x**3 + 4*x**2 - 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2)\/7 + 258\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -7*p + 6. Let d(t) be the second derivative of -3\/2*t**p - 5\/2*t**3 + 6*t + 0 - t**4. Factor d(i).\nAnswer: -3*(i + 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/5*(-2)\/4. Suppose n = 8*g - 14*g + 60. Solve -5*x - 20 = -g*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 113 + 4?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**11\/m)**(2\/9))**(-2\/25))**(-2\/7) assuming m is positive.\nAnswer: m**(16\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 490 is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-26)\/q)**(-9\/8))**40 assuming q is positive.\nAnswer: q**1215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - j)*(-165*j**2 + 49*j**2 - 123*j**2) - 9*j**2 - 3*j**3 + 9*j**2.\nAnswer: 236*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.061 and 0.94.\nAnswer: 0.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 14 + -5 + -5 + (-2 - (-6 + 47))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 b when three letters picked without replacement from bbbbqbqbxbx?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000016887685 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2159*t - 5*c + 33 = 2162*t, 5*t - 29 = -4*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 352.5 - 352. Which is the second biggest value?  (a) 3\/8  (b) 0  (c) p  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/2220 and -9\/4070.\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (89 - -51)*77\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(360)*1)\/((1*sqrt(22))\/sqrt(11)*-1))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.09  (b) 62\/3  (c) 1\/3  (d) 0  (e) 2  (f) 3  (g) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r + 14*r = -18. Calculate the greatest common divisor of 63 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -6*t. Let n(f) = f**2 + 5*f - 5. Let r(a) = -3*a + 3. Let s(c) = 3*n(c) + 5*r(c). Give h(s(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 5  (b) -943\/102  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f - 3*f - 3*f)*(4087 - 1893 - 2011).\nAnswer: -366*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -54230 divided by -744?\nAnswer: 27115\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1356067 and -87.\nAnswer: 117977829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-371)\/21 - -18 - 4840\/(-6). What is c rounded to the nearest 10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49714 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/12 and 49\/171418.\nAnswer: 1028508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4*p. Suppose -3*u - 6*o + 9*o = -30, 5*u + 2*o = 22. Let g(k) = 6*k + k - 24*k + u*k. Give h(g(j)).\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(972) + (sqrt(972) + (sqrt(972) + -1 - sqrt(972)) - sqrt(972)) + sqrt(12) - sqrt(12) - (sqrt(300) + 0 + sqrt(3) + -2))**2.\nAnswer: 14*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 426312510.\nAnswer: 2, 3, 5, 13, 1093109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from sxsssssxhxsuhhhhxs?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.04 + -6. Let a = 0.95999961 + n. What is a rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3\/182, -1\/4, -0.185, 4.\nAnswer: -4, -1\/4, -0.185, -3\/182, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9\/24)\/(-3) - (-25)\/40. Which is the smallest value?  (a) -1\/4  (b) -2  (c) y  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 116 and 1115688?\nAnswer: 1115688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1000 a factor of 118622000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/299?  (a) -2  (b) 2\/3  (c) -0.3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 2 = 26549*p - 26547*p, 0 = 3*c + p + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5171 in -4, 0, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of k**5\/60 + 3*k**4\/8 - k**3\/6 + 11*k**2. Let m be r(-12). Suppose -m*l + 25 = -30*l. Is 2 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/2  (b) 2  (c) 18336  (d) -4  (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1009549 years to months.\nAnswer: 1.2114588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2836*z + 21 + 18 - 76 + 36 to x*z + c and give x.\nAnswer: -2836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 470*j**3 - 1346803*j + 1346803*j.\nAnswer: 470*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/2, 3\/4, -4, 0.4, -30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12595*f**2 + 40*f + 1112577.\nAnswer: 25190*f + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1861063.33 - -2.12751.\nAnswer: 1861065.45751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3\/7, 3.42, 1\/3, -2\/7?\nAnswer: 3.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -328 plus 7964?\nAnswer: 7636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 66.87 + -66.869967. Round t to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -84 + 119. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + f - 5 + (-2 + 5 - 6)*(-23 + 0*f + 5*f + 22) to the form l*f + j and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 7*a**2 - 3*a. Let b(q) = 66*q**2 - 5232*q - 374978. Let m(t) = b(t) - 12*o(t). Factor m(h).\nAnswer: -2*(3*h + 433)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21239546 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47 + -27. Suppose 0 = 3*v + 8 - j. Suppose v*p - 1 = 3*p. Let q(g) = -g**3 + g**2 + g - 1. Calculate q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 PM and 12:56 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of -47*m**3\/3 - 33. Let r(n) = 5*n. What is p(r(y))?\nAnswer: -1175*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-4)*t**(2\/5))**(-3\/5)\/((t\/t**(-1))**43\/(((t\/(t\/(t**(-3)\/t)))\/t)\/t**(-1))) assuming t is positive.\nAnswer: t**(-2211\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3947 - -3935. Let q(c) = -3*c - 24. What is q(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-2 - 6)) + -4 + -5 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 2. Suppose 5*f - 59 = 2*k, 0 = -5*k - f - 0*f - 134. Let v = -28 - k. Which is the nearest to 1\/3?  (a) l  (b) v  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -211*y**3 - 111 with respect to y.\nAnswer: -633*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1453187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, f: 2, o: 1, w: 1}. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -198020 <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 189751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 2*y - 12, 3*y - 14 = 4*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of -5*x**3\/6 + 3*x**2\/2 - 10*x. Let h be k(-1). Solve -w = -5*w - h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5939964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 581 - 581.216. Let s = a + -7.924. What is s rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2758, -4 in descending order.\nAnswer: 5, -4, -2758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50490 divided by -495.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 78252 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*((-4)\/(-2) + 2 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 30?  (a) 4  (b) 7  (c) -1\/9  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2 - 7 + 2*g - 2*g + g. Give j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s - 7. Let u be l(-6). Let v be (-2 - 4\/(-2))\/u. Suppose 5*b - 12 - 41 = -3*a, -2*b - 10 = v. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2352421.\nAnswer: 127, 18523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2.186+-17671.87\nAnswer: -17674.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 62 - -15. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = 13*r + 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -5*f + 21. Let t be f\/((-2)\/4*2). Let c(q) be the first derivative of q + 1686. Let r(m) = 3*m**2 + 6. Give t*c(b) + r(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/2)\/(y*y\/(y**(25\/3)\/y)*y))**(18\/11) assuming y is positive.\nAnswer: y**(69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/(-6))\/(14\/112). Let t be -2 - -5*(0 + 1). Let u(p) = 1 + 2*p - p - t + p**2. Give u(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 86*g**2 + 780*g. Let b(r) = 16*r. Calculate b(z(i)).\nAnswer: 1376*i**2 + 12480*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9361, 9467, 9573, 9679, 9785?\nAnswer: 9891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -28 less than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 573 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -6) + (3 - (4 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20200022 + -1211102?\nAnswer: -22111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101421 (base 5) to base 2.\nAnswer: 110100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 (base 12) in base 13?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(400) - (-3*sqrt(400) + sqrt(400)))\/sqrt(8))\/(sqrt(40)*1).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -404*u - 221. Suppose 15 = -k + 5*o - 2*o, 2*k + 52 = -5*o. Is v(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44170097623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (44\/6)\/(4\/6). Let v be 46\/j + 4\/(-22). Suppose -3*r + v = -23. Calculate the greatest common divisor of r and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w**2 - 8*w + 68. Let b be r(-8). Let x be ((40\/(-45))\/b)\/((-9)\/81). Find d such that -x*d**3 - 5\/2*d**2 - d + 0 - 1\/2*d**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/43 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 4*n, -4 = -10*n + 14*n. Suppose -p + a*p = 3, -5*x - p = -3. Solve -5*v - 5*f + 30 = x, 4*f - 4 = -3*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 32872 and 1742274\/53 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 + 109?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 8*z**3 - 16*z - 16. Let u(k) = 7*k**3 - k**2 - 17*k - 15. Let w(p) = -3*o(p) + 4*u(p). Let w(h) = 0. What is h?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**2. Let f(p) = 3*p**2 - 3*p + 693790. What is f(l(a))?\nAnswer: 12*a**4 - 6*a**2 + 693790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of 13\/5*j**5 - 40 + 8*j**3 + 0*j**2 - 2\/3*j**6 + 0*j**4 + 0*j. Find the third derivative of l(c) wrt c.\nAnswer: -240*c**2 + 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (0 - (-6 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -10*a - 15. Let w be r(-3). Suppose -4*p - 3*z + 230 = -w, 0 = -p - 5*z + 57. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-32)\/39 - (5\/(-3) - -1). Let t = 13 + -8. Let s = t + -4.9. What is the nearest to -0.1 in 0.5, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 87310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3093255038 to the power of 1\/3, to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -r**2 - 1\/6*r**3 + 1\/3*r**4 + 0 + 1\/12*r**5 - 1\/120*r**6 + 0*r. Calculate the remainder when 32 is divided by l(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 307, 1762, 5507, 12688, 24451?\nAnswer: 41942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -4*l - 60. Suppose -a + 3 = 4. List the prime factors of a - (-7)\/((-21)\/l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3905 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aagsssaagsg. What is prob of sequence sa?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/48)\/(6\/4). Put -1, -2\/15, x in increasing order.\nAnswer: -1, x, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 69913 and 41072?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -18 + 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 10.6. Let v = 8\/15 - 14\/45. What is the second smallest value in -0.08, v, u?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 68.8 + -76.79. Let q = y + 8. Is 0 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.1 and 19328869929.\nAnswer: 19328869930.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -4*u**2 - 6*u - 2. Let t be q(-2). What are the prime factors of 190 + t*(-8)\/12?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 10*u**2 - 10*u. Let j be d(-9). Let a be (102\/j)\/((-10)\/(-15)). Suppose a = -3*t + 4*t. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u**2 + u + 3. Let p(m) = m**2 - m + 4. Suppose -20 + 8 = -4*a. Calculate the remainder when w(4) is divided by p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -4*o. Let a(g) = -20*g. Let n(z) = -39*z. Suppose w + 2*h = -11, 4*w = -w - 5*h - 55. Let k(s) = w*a(s) + 6*n(s). Give m(k(d)).\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6027468 divided by -1004578?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -0 + 6. Let k be -1*(4 + -4 - 0). Factor 8*f + f**4 - 6*f + 2*f + 1 + 6*f**b + k + 4*f**3.\nAnswer: (f + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 6:38 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-51 + 25 - -52) + (-5)\/(1\/1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from bwfwfhfwbl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - -9. Let w(b) = -g*b - 2*b + 3*b + 3*b. Let q(s) = -5*s**2. Give q(w(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuj. Give prob of sequence uj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39618, -80792, -121966?\nAnswer: -163140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v + 13 + 4*v - 3*v)*(v**3 - 4*v**3 + 7*v**3).\nAnswer: 4*v**4 + 52*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d - 2 - 23, -14*c + 53 = -0*d + 5*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 2*f - 430, -2*r = 4*f + 2 - 198. What is the smallest common multiple of 44 and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 20*a**2 + 7*a + 12. What is the units digit of y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n**(1\/23)\/n)*n\/n**(2\/9) assuming n is positive.\nAnswer: n**(566\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -29, -31?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -108629 - -108423.0364. Let m = d + 206. What is m rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 154\/(((-12)\/(-10))\/(468\/(-130) + 9 + -6))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.22 - -0.28. What is the fourth biggest value in -2, 6\/11, 77, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 153 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 - 3*j**2 + 2*j - 3. Let r be k(3). Suppose 0 = -r*a + a - 4*t + 14, 4*t + 20 = 0. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/42 and 139\/394626.\nAnswer: 2762382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 125 (base 7) to base 11.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -108*s**2 - 257313*s + 894750.\nAnswer: -3*(s + 2386)*(36*s - 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6870.\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 + 90 - 7*l**2 - 131*l + 25 + 133*l + 0*l**2 to d*l + f + o*l**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1678 - 285. Let t be q\/13 - 2\/13. List the prime factors of t - (2\/(-5) + (-70)\/(-50)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/7746046 and 50\/63.\nAnswer: 69714414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 803 + -797. Let x(d) = d**2 + 5*d + 4. Let c be x(-4). Is c at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 601, 5360, 18281, 43444, 84929?\n\"Answer: 680*z**3 + z**2 - 4*z - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 + 38*p**2 + 299*p + 26. Give v(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24161 and 144966.\nAnswer: 144966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16691572?\nAnswer: 2, 59, 107, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -3*i + 4625, 4*i + 45*b = 43*b + 6160. What is the greatest common factor of 38 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -g**3\/3 + 3*g**2 + 3*g - 14. Let f(m) = -m**2 - 7*m + 6. Let x be f(-7). Does 3 divide s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0954 + 45.9046. Sort 5, -0.3, i, 2, 1.\nAnswer: -0.3, 1, 2, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 7 - 8 + 10*z**5 + (-2*z**4 + 3 - 3)*(-z - 2 + 2).\nAnswer: 12*z**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1433 or 32954\/23?\nAnswer: 1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2190 - -4423. Let g = d - 1161. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (931\/(-38))\/(2\/(-12)). Differentiate g - 76*x**4 + 23896*x**2 - 23896*x**2 with respect to x.\nAnswer: -304*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 4*m = 8, -4*m = -8*m + 16. What is the biggest value in -3, x, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 348?  (a) 1  (b) 23  (c) 0.18  (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**4 - 540*g**3 + 4*g**2 + 540*g.\nAnswer: -4*g*(g - 1)*(g + 1)*(g + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of -2*p**3\/3 + 21*p. Let t(b) = -b**2 + 2*b - 2*b. Give u(t(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7118\/14 - (-2 + (-90)\/(-63)). Suppose -y = -9*k - 374. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-777)\/(-333)*6\/7. Solve -4*p - z*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -11018, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 777592 is divided by 2578?\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 314629280 divided by 15568.\nAnswer: 20210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 355908 and 830452?\nAnswer: 2491356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 2*k - 148 - 49, k = -5*v + 71. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kjjuppujjjjj. Give prob of sequence ujkj.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*2\/(-1 + -17). Which is the third biggest value?  (a) 3  (b) f  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 11. Let o(i) = 0*i + 3*i**2 - 7*i**2 - 5*i - i**3 + i - 3. What is o(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 - 5*g - 6. Let x be m(-4). Let k be (0\/(-2))\/(0 + x). Suppose k = 2*d - 8. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 5*g + 2*g)*(-134 - 1174 + 20)*(-2 - 1 + 4)*(2 + 4 - 3).\nAnswer: 3864*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 451637 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9389 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20 - -22. Let z(x) = 3*x**2 + 0*x**c - x**2. Let i(s) = 9*s**2. Calculate z(i(r)).\nAnswer: 162*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -45 or -5681?\nAnswer: -5681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4\/3, 4, 0.4, 41?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34 - 38. Let d be n\/(-4)*-36*-1. Suppose 14 = x - d. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*h = 6. Suppose -5*f = 5*l - 245, -h*l = f + 4*f - 235. Let p be (-11)\/f - (-49)\/4. What is the highest common divisor of 60 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 4, n: 4, z: 7}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (3 - (4 + -1)) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**3 - o**3 + 2*o**3 + o**2 - o**2 - 8*o**3 + (-4*o**2 + 3*o**2 - o**2)*(1 - 1 - o) + 0*o + 0*o + o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k + 8*k - 4*k + 0*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 12, 0.09 in decreasing order.\nAnswer: 12, 5, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 12 = 0, o - 101*v = -103*v + 6 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 242 + -239. Let m = -67 - -66.8. What is the nearest to -0.3 in m, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7.431 * -0.039\nAnswer: 0.289809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, f: 4, l: 2, e: 3, s: 3, k: 6}. What is prob of sequence ej?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - ((-18 - -8) + 3)) + 18 + -14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 332 divided by 820.\nAnswer: 83\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2286 and 18.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 229344652?\nAnswer: 2, 41, 349, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**3 + c**3 - 2*c**3)*(-2*c**2 + 1 - 1) + (-4*c + 0*c + 13*c)*(-5*c**4 + 2*c**4 - 2*c**2 + c**4).\nAnswer: -20*c**5 - 18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177 is divided by (12\/(-5) - -6)*(4 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 305405 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15977 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of -61*p**5\/20 - 37*p**2\/2 - 20*p. Find the first derivative of h(c) wrt c.\nAnswer: -183*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 66*h - 32*h + 109*h + 84*h + 258*h. Let a(v) = -3*v**2. Give q(a(d)).\nAnswer: -1455*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 22200005 (base 6) to base 8\nAnswer: 2432105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3361454 - -5473454. Round q to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b. Let t(r) = -r + 7. Let p(o) = -h(o) + t(o). Let w(d) = -6*d + 22. Give -16*p(j) + 5*w(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**4\/4 + 1339*t**3\/4 + 8061*t**2\/4 + 12101*t\/4 + 1345 = 0.\nAnswer: -4, -1, 1345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12998 and 39262.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence as when two letters picked without replacement from xsaxixpxawxpxpap?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 16, -1.\nAnswer: -1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9854714237889 - 9854731207855.999926. Let s = z + 16969934. Let y = s - -33. Round y to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002559 to 7 decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 m when three letters picked without replacement from tuhtutttmlmtttuu.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2 and -0.03801.\nAnswer: -2.03801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -320222030 (base 4) to base 12\nAnswer: -b2378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9324 + 20413. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -202*t + 3745 + 689 - 798 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3097*t = -2983*t + 3876 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(3\/10)\/k)\/k)**21*(k**7*k)**6 assuming k is positive.\nAnswer: k**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 8, i: 1, t: 5, p: 2}. Give prob of picking 2 p, 1 i, and 1 r.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/15 - 11\/10. Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 AM and 9:56 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5961 + 5966. Let u = 2 - 5\/2. Which is the closest to 0?  (a) l  (b) -6  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -2.07. Let h = -0.36 + -0.04. Let n = -7944 - -7942. What is the third biggest value in n, -1, h, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 182 divide 892710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*3 + (4 - 7). Solve 5 = 5*p - r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 23182  (b) -0.2  (c) -103  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 133 (base 4) to base 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -217.394 rounded to the nearest integer?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -i + q + 9, 5*q + 11 = -2*i. Solve -2*g = i*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = 3*m + 1, 11*m - 5 = 12*m - 4*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/51)\/(19\/(-38)). Which is the third smallest value?  (a) y  (b) 2\/11  (c) 7\/5  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*s + 51 + 15*s + 4*s - 59*s.\nAnswer: -57*s + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -0.288, -2744, -5, -4?\nAnswer: -0.288","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2. Let f(j) = -j**2. Let p(x) = 3*f(x) - 4*t(x). Let z(r) be the first derivative of 39*r**2\/2 - 3749. What is p(z(y))?\nAnswer: 1521*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 4*f**2 + 16*f - 5. Give i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 22122 (base 4) to base 2\nAnswer: 1010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13642718.\nAnswer: 2, 359, 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2244212 - 131?\nAnswer: 2244031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + -6a66a?\nAnswer: -6a665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2143 - -3986. Let h = r - 3202. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5042?  (a) 0  (b) -0.13  (c) -2\/5  (d) 4  (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -320*p**3 - 3316*p**2 - 2996*p = 0.\nAnswer: -749\/80, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of -u**3\/6 + 21*u**2\/2 + 20*u + 13. Let i(t) be the first derivative of h(t). What is the first derivative of i(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -808*s - 158522. Calculate f(-196).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 400679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -269 + 414. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**34*l*l*l*l**(-21) assuming l is positive.\nAnswer: l**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i - 4*i + 4*i + (-5 + 2 + 2)*(0 + 0 - 2*i) + 0*i - 3*i + 0*i - 1 + 2*i + 1 + i - 4 + 4.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 2 + -2 + -598*(-10)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3833, 7733, 11637, 15545, 19457, 23373?\n\"Answer: 2*k**2 + 3894*k - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3987576 is divided by 3108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 5*s**2 - 12*s + 14. Let p be d(-7). Suppose p = -10*z + 5*z + 1595. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 6*v**2 - v - 1. Suppose 1 = -2*c + 11. Suppose b - 12 = -c. Calculate the remainder when b is divided by r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1999299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -7*f**2 + 42*f + 42. Let q be (6 - -2) + -11 - (1 - 1199). Suppose 149 + q = 32*j. Let y(z) = z + 1. Give j*y(d) - o(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 50763155 to the nearest integer?\nAnswer: 7125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(1\/1) - -3. Let m be (-1 + 3)\/(2\/4). Suppose 2 = 5*n - m*g, 4*n - 3*g + 7 = 9. Solve -5*f - 3*a + 3 = 0, -n = -2*f - 3*a + r*a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3170*n = 3179*n. Solve 5*p + 17 = -n*y - 4*y, -4*y = -3*p - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(228) + sqrt(228))*2)\/(sqrt(300) - -3*sqrt(300)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1586429212?\nAnswer: 2, 396607303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 - 18. Let l = 6.2 + c. Let s = 0.799994 + l. What is s rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -t**8\/336 + t**4\/12 + t**2\/2 + 3. Let x(k) be the second derivative of a(k). Find the second derivative of x(v) wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4, -5, 0, -1832?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 3.2. Let r = s + -4. Let y = -808 + 803. What is the third biggest value in r, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-6)*1*-6. Let n(g) be the first derivative of 1\/16*g**4 + 0*g**2 + 1\/12*g**c + 4 + 0*g. Suppose n(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 308 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/6)\/((-1)\/18). What is the units digit of o\/(6\/(-16)*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12\/22087 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 10\/(-6)*(-8 + 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 20 = -0*n + 5*r, -4*r = -4*n + 16. Suppose 4*d - 48 = -n*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**2)\/c)**1*(c**(-6))**37 assuming c is positive.\nAnswer: c**(-219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53609*l = 52664*l - 99225 for l.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 165 divide 5267978760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) + (sqrt(66)*2 + sqrt(66) + sqrt(66))*-1)\/((sqrt(600)*-2 - sqrt(600)) + sqrt(600)).\nAnswer: 3*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4917*c - 14. Let x(p) = 1640*p + 4. Determine 3*t(a) + 10*x(a).\nAnswer: 1649*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 129030, 258034, 387038, 516042, 645046?\n\"Answer: 129004*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5029855 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-90)*(-273)\/(-2). Let q = p + -10\/3. Let t be ((-4)\/(-7))\/(4 + -2). Which is the third smallest value?  (a) t  (b) q  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(-12))*t*t*(t*t**(-11)\/t*t)\/t)\/(t*t\/t**(-2\/5))**(-43))**(-9) assuming t is positive.\nAnswer: t**(-4779\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166887.\nAnswer: 3, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/(-4))\/(18\/240). Calculate the greatest common factor of j and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - v**2 - v - 112. Let r be f(0). Let o be (-308)\/r + 1 + (-6)\/8. Suppose 0*l + o*z = -3*l + 132, -132 = -3*l + 5*z. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 2*p - 449 = -457, -d = p - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2.04  (b) -2  (c) -3  (d) -1989  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -139724721 divided by 281.\nAnswer: -497241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-120 - -113 - (-13 - -1)) + (-27 - -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*l**2 - 4*l**3 + l**2 + 6*l**3 - 2*l**3 + 2*l**3 - l**3 + (5*l**2 + 0*l**2 - l**2)*(-l - 3 + 3) as b*l**2 + j*l + s*l**3 + y and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (0 - 4\/6) + (-5215)\/(-5250) and 41\/6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1130020\/39 <= -28975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 268607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/sqrt(32) + 1 - (sqrt(91) + (sqrt(91) - sqrt(91)*4))\/sqrt(7)*-6.\nAnswer: -47*sqrt(13)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kqyssyklqkkwllq. Give prob of sequence qky.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.536707 milligrams to grams.\nAnswer: 0.002536707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 0 - (-37 - -22)) + -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 348*u**2 - 23*u**3 + 27*u**3 - 376*u**2.\nAnswer: 4*u**2*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*g + 24*g + 5*x - 5 = 0, 5*x - 5 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1620 is divided by 86?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of -b**2 + 1\/60*b**5 + 0*b**3 + 0 + 1\/24*b**4 + 0*b. Calculate d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*r + 6717 - 6570 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 503 + 194*z**2 - 3*z + 225 - 193*z**2 + 3*z in the form s + o*z**2 + m*z and give s.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6158377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 8*o**2 - 359*o + 305. What is q(44)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 5*z = 26, -z + 14 = 15 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15 + 68. What is the common denominator of ((-15)\/140)\/(9\/330) and (-3)\/20*q\/3?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o**2 + 3*o - 1. Let n be j(2). Let k = -2 - n. Let y = -0.02 + -3.98. Which is the third smallest value?  (a) y  (b) k  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 8:29 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 6*s - 1. Let c(m) = -m**2 - 16*m - 31. Calculate the least common multiple of b(2) and c(-13).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 220\/(-330)*30\/4 + 10 + -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.755339395 to 3 dps.\nAnswer: 3.755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -7 - 9*k**3 + 2 - k**2 + 0*k - 28*k. What is the second derivative of u(b) wrt b?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 6. Let 4*t - 25*t**2 + 2*t**3 - t**4 + 37*t**2 - t**3 + 4*t**5 - 11*t**w = 0. Calculate t.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -179*v**5 - 10*v**4 - 5*v**3 + 319004*v**2 - 2*v - 1?\nAnswer: -10740*v**2 - 240*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 65250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(5*9\/(-120))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 25663 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 6*c**2 - 10*c. Let w(f) = f**2 + f. Let h(k) = a(k) + 4*w(k). Find the second derivative of h(j) wrt j.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -9, 1, 5 in decreasing order.\nAnswer: 23, 5, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 AM and 7:16 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add 197 and -7203742258.\nAnswer: -7203742061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2292, -4484, -6676, -8868, -11060, -13252?\n\"Answer: -2192*h - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -13 + 8*p + 13 - 5*p. Let k(f) = 2*f. What is l(k(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -3*v - 9, 2*v + 8 = 122*g - 121*g. Put v, 2, 635, -5 in increasing order.\nAnswer: -5, v, 2, 635","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*y**2 + 26*y**2 - 1 + 1.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 9*w + 86. Let x be y(-7). Solve x*g = 21*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*k + 13 - 46 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22407 + -22409.8717. What is f rounded to 2 dps?\nAnswer: -2.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 252 - -972. Is 51 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -4, -3\/211, -270 in increasing order.\nAnswer: -270, -4, -0.3, -3\/211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4801*q**4*u + 3701*q**4 - q**3 - 65042*q**2*u + 3*q**2 + 52*q wrt q?\nAnswer: -115224*q*u + 88824*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 100832\nAnswer: 100832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lvv when three letters picked without replacement from {l: 3, b: 2, v: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -34.4, 162, 1\/7, -5 in ascending order.\nAnswer: -34.4, -5, 1\/7, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -101938 - -5?\nAnswer: -101933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23563?\nAnswer: 23563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -20. Let g(d) = 2*d**2 + 14*d + 29. Let f be g(z). Let s = 3 - -26. What is the greatest common factor of f and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47 + -1 + 30 + -82 + -1 + 42\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211303?\nAnswer: 131, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (5*-2*(sqrt(112) + 2) + (sqrt(112) + 2*sqrt(112) - sqrt(112))*-5 + 2)*2 + -2)**2.\nAnswer: 10560*sqrt(7) + 180289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1751 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, s: 3, w: 1, u: 3}. Give prob of picking 2 s and 1 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -176*b*x**2*y**2 - b*x*y**2 - 2*b*x - 8*b - 2*x**2*y**2 + 2*x**2*y + 5*x*y**2 wrt x?\nAnswer: -352*b*y**2 - 4*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**3*j*j**(-5))**(1\/8)\/(j**0*j*j*j**(1\/4)*j)**(1\/24) assuming j is positive.\nAnswer: j**(-13\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3872463 and 34587?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-43526)\/(-40)*3\/402. Let t = -7901906\/67 - -117932. Let b = t + o. What is the common denominator of -41\/4 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(3\/5)\/(q\/(q*q*q*q**8))*q\/(q*(q\/(((q*q\/((q**(-2\/13)*q*q)\/q))\/q)\/q))\/q)*q**(-2\/25)\/q*q assuming q is positive.\nAnswer: q**(3144\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 23*n - 2. Let b be u(2). Let o = 41 - 68. Let g = b + o. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -109029752 divided by 1185106.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mymm. What is prob of sequence ym?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * 0.021\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1888 = 1266*t - 1384*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + a + 44902 = 0, 35924 = -96*z + 100*z - 2*a. Is 108 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -39.02 - -39. What is the closest to -0.1 in -0.2, x, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 421 = 4*r, 0 = r + 4*r + 3*f - 527. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03715 in 0.23, 6, -6?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-60 + 28365\/122).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/10 and 3\/(-9) + 42669\/3807 + -4 + -7?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -g**4\/6 - g**3\/6 + 5*g**2. Give q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from httht. What is prob of sequence hh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-42 - -63)*(-16)\/(-6). Suppose 3*t + k = 68. Let l(f) = 6*f**3 + 4*f + 5. Let q(g) = -g**3 - g - 1. Give t*q(a) + l(a).\nAnswer: 2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*y + 21 + 21. Let t = 6 + -2. What is the remainder when y is divided by (-2)\/t + (-11)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0574 plus -191406?\nAnswer: -191405.9426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 207 + -206.937. Let t = x + -0.063895. What is t rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*i - 72*i + 8695 = 0. What are the prime factors of i?\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -i**4 + 2158*i**2 - i + 148316 wrt i.\nAnswer: -4*i**3 + 4316*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + l - 2*l + 145, 5*v - 235 = 5*l. Calculate the greatest common factor of v and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9*10*6\/90. Let g = -4 - -9. Sort t, g, -3, 2.\nAnswer: t, -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94 + -92 + (-480)\/135?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93674 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 c = -5 + 8. Suppose 2*z + c = 1. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 511379891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.00399705188132 + -0.5\nAnswer: -0.49600294811868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2050001*j + 6. Let l be -5 + 3 + (-24)\/(-2). Let n = l - 4. Let v be x(n). Round v to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 479 + 119. Let w = z - -27. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 + 30*u**2 - 96*u + 96.\nAnswer: -3*(u - 4)**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2 + -1*(-1*sqrt(128)*-2 + sqrt(128) + -6*(sqrt(128) + 1))*-6).\nAnswer: 204 + 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -48*f + 170 + 66*f**2 + 38*f**2 + 6*f - 31*f**2 - 4*f. Is y(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 1\/2  (c) -2\/40221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 132\/(-30)*5\/(-2). Suppose 0 = -4*j + 4, 5*u + j + l - 32 = 0. Let i = 346 + -343. Solve -i*s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -10 + 7 + 15*k - 16*k. Let r(c) = 21*c + 30. Let g(b) = 15*p(b) + r(b). Differentiate g(j) with respect to j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 60 + -41. Let g = -19.00000039 + y. What is g rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 15843?\nAnswer: -5\/15843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4241*n**2 + 8*n**3 + 1051 - 6750*n**2 - 1051 + 10991*n**2.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 1 + (-3 + 4 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -39449\/123 + 4854379\/14760. Let n = 13\/45 - c. Let l = -5612 + 112347\/20. What is the common denominator of l and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -2*t**3 - 3*t**2 - t - 11. Is h(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 44700800 to the nearest 100000.\nAnswer: 44700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 21210 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1236, -2332, -3432, -4536, -5644?\n\"Answer: -2*q**2 - 1090*q - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 4*y = 5*h + 93, y = -2*h - 27. Let l(i) = i**2 + 15*i - 5. List the prime factors of l(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(2\/13))**(-17\/5)\/(m**16\/m**15))**(-14) assuming m is positive.\nAnswer: m**(1386\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 7*h**3 + 6*h**2 - 11. Let i(s) = 20*s**3 + 18*s**2 - s - 32. Let l(m) = 6*i(m) - 17*j(m). Is l(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -f + 18, 0 = -3*w - 0*w + 2*f + 16. Suppose 0 = w*g - 29 - 31. Suppose 4*o + g + 17 = 0. Let u(z) = -z - 7. What is u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23021 = 23023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*h - 102*h + 73. Solve 0*p = -2*p + 5*o - h, -3*o + 13 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(99)*-1 - sqrt(176)*-2) + -4*(0 + sqrt(11)*-1) + (2*sqrt(704)*6 - (2 + sqrt(44)*-5)))**2.\nAnswer: -1840*sqrt(11) + 581916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11295 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/145, 5, 19 in descending order.\nAnswer: 19, 5, -3\/145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-36) + (-1443)\/6669 - (-5506)\/(-38).\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 96\/(-144)*(-130)\/(-8)*21\/(-70).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47.4 - 47.2. Sort 12, 0, 4, g in decreasing order.\nAnswer: 12, 4, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1344078237 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4\/5  (b) 7  (c) -1  (d) -3  (e) 173.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, k: 6}. What is prob of picking 4 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a**(-2\/9)\/a*a)\/a*a)*((a*a**(-8\/9))\/a)\/a)\/((a**17*a)\/a)**(3\/10) assuming a is positive.\nAnswer: a**(-173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 589*b**3\/3 + b**2\/2 + 1090*b + 4992. Differentiate c(h) wrt h.\nAnswer: 1178*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0737*-9.65.\nAnswer: 0.711205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (43\/(-7) + 1)\/(-12*14\/80556). What is the highest common factor of 1096 and h?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1266 + -8850\/7. Factor j*n**2 + 0 + 2\/7*n**3 + 18\/7*n.\nAnswer: 2*n*(n + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6530 divided by -2\nAnswer: -3265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 3192305?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101100011100011010000 + 100?\nAnswer: 101100011100011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5 + ((sqrt(125) + -4)*2 - (sqrt(125) + -4 + -2*sqrt(125))))**2.\nAnswer: -2412 + 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61 = r + 13*f, -4*r = -r + f - 5*f + 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 2*s + 5 = 0, 3*l - 11*s - 414 + 434 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*180\/(-24)*4\/(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 408 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 740.\nAnswer: -3\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2945 - -21299. What are the prime factors of f?\nAnswer: 2, 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1044\/31 > 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 212258, 424528, 636798, 849068, 1061338?\n\"Answer: 212270*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -82905 and 292.\nAnswer: -24208260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(5445) - sqrt(5445) - -2*sqrt(720))\/(sqrt(45)\/(sqrt(10)\/(sqrt(4)\/sqrt(2)) + sqrt(5))*6).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-42)*120\/80.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, l: 4}. Give prob of picking 2 t.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 193277.49 months to decades.\nAnswer: 1610.64575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 7 + -5 + (-2 - -7) - -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*j + 2*q - q, -2*j = 5*q - 9. Let l(r) = -2*r - 2*r - 1 - j*r + 12*r. Let h be l(2). Is h equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(-1)\/(-2)*-2. Let c be 150\/(-36) + 2\/4. What is the second smallest value in 0.1, c, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a364a9 (base 14) to base 9.\nAnswer: -11328455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/14 in 0.4, 4\/7, 1, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 10500.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 632802817529829 + -1.\nAnswer: 632802817529828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(((-18)\/(-300))\/((-3)\/4)). Calculate the highest common factor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 17, -1, -7, -3 in descending order.\nAnswer: 17, 4, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.13, 132, 0.06, -2\/3, 1\/50?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16806 is divided by 55?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 - -17. Do r and -6 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -739*h**3 + h**2 - h - 2. Let z be w(-1). Suppose 322 = -2*s + 5*o, 0*s = -5*s - 4*o - z. What is s rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - (-4018)\/246*(-6)\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 8, i: 2, x: 3, y: 4}. Give prob of sequence xi.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 125386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -22?  (a) 0.5  (b) -1\/6  (c) -1  (d) 0  (e) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42114 and 44?\nAnswer: 926508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m + 2*x - 5, 3*x = 2*m - 2*x - 31. Solve 0 = r + 2*p, 2*r = -m*p + 2 - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 19*f - 1. Let l(u) = -u + 4. Let n be l(3). Let s = 285292 + -285280. Calculate the lowest common multiple of s and g(n).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2270 (base 9) to base 2\nAnswer: 11010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 10 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-26)\/((-156)\/(-42)) + 1 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 57, 92, 131?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1386\/(-45))\/(12\/(-15) + 1). Let h be l\/(-30) - (-22)\/(-165). Suppose s - 2*g + 7 = -1, 2*s + h*g = -52. Which is smaller: -17 or s?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-four fifths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 6 = -6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -47 or -88?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2*w - 1)*(2*w**2 - w**2 + 0*w**2) + 511*w**3 + 0*w + 341*w - 341*w to x*w**2 + y*w + j + c*w**3 and give c.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17424 and 28?\nAnswer: 121968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42727\/6 - 7097. Let r(p) = 5*p + 8. Let o be r(12). Calculate the common denominator of (o\/12)\/((-32)\/(-18)) and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/(56\/(-396)))\/(16\/((-192)\/36)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 337*b - 18. Let o be y(16). Let n be (o + 2)\/((-7)\/(-4375)). Round n to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1877022564.858 and 0.2.\nAnswer: 1877022565.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i**2. Let m(y) be the second derivative of 0*y**3 + 19\/6*y**4 + 0 + 49*y + 0*y**2. Calculate g(m(d)).\nAnswer: 2888*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 14*q + 24. Let h = 50 - 43. What is the units digit of g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -51 - -87. Suppose -4*v + o + 16 = 0. Suppose 2*d + 2*u = -2, 2*u - 2 + 7 = -d. Solve 3*h - d*y - 23 = -8, -h + 3*y + v = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000046271 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 8 = 4*x, -6*x + s = -5*x + 9. Let d(i) = -6*i - 3. Let u(o) = 3*o + 1. Calculate x*u(l) - 2*d(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wcwwcwwwwcwcwwwc. What is prob of picking 4 w?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000000503229 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 + 5*b**2 + 4*b - 1. Let f be z(-3). Let i be (-1 + (-3)\/3)*2. Put f, i, -2 in increasing order.\nAnswer: i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8771833729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1651500.499 to the nearest 10000.\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1747 + 5?\nAnswer: 174c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 807934309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1104 - 1104 - 7*t to the form d*t + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.044, 0.1, 2\/7, -1\/4, -13, -1.3?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 14*c**2 + 3*c + 3. Let n be v(-3). Let b = -218 + 159. Let k = b + n. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 106 + -76. Let b = -30.4 + z. What is the third smallest value in b, 3, 4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 4*w - 676 = -288, -191 = -2*t - w. Suppose -20*c - 114 = -t. What is the nearest to c in 2, -0.1, -2\/3, 3\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -9.2. Let u = -592\/7 + 3268\/35. Let v = 9 - u. Put v, m, -3 in increasing order.\nAnswer: -3, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7614*d**2*j**3 - d**2*j**2 - 5972*d**2*j - 5*j**5 wrt j.\nAnswer: -45684*d**2 - 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 34148, 34393, 34638, 34883?\n\"Answer: 245*k + 33903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of -2*u**3\/3 - 6*u**2 + 32*u - 587. Factor g(d).\nAnswer: -2*(d - 2)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1359831 + 83906857?\nAnswer: 85266688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*j + 31*j + 2 + 10*j to the form f*j + h and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6636 + 11277. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2*2)\/(95*28\/(-70))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s + 57 = 12*s. Suppose 155 = 2*a + 5. Calculate the remainder when a is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 37375\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 122, 7, -5 in ascending order.\nAnswer: -5, 7, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 196070 and 18900?\nAnswer: 52938900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/5 + 3572*z\/5 - 1594506\/5.\nAnswer: -2*(z - 907)*(z - 879)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 14 - (2 + -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 + 3)*(901 + -1). Factor 2000 - f*b - 1081*b**3 + 4860*b**2 - 475*b**3 + 98*b**3.\nAnswer: -2*(9*b - 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = x - 14, -7*x - 5*h = -3*x - 44 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1577.1 and 0.54856?\nAnswer: 865.133976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + t - 3. Let g be r(0). Let j(n) = -n**2 - n + 1. Let w(a) = a - 1. Let q(f) = j(f) + w(f). Calculate q(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0574 - -7.9426. What is the closest to 6 in -4, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15.9 + -16.1. Is -1\/8 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = 2*i + 12, 502*i - 505*i = 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/(sqrt(288) + (sqrt(288) - -3*sqrt(288))))**2.\nAnswer: 13\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 451237 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: Let m(w) be the second derivative of 295*w**4\/12 + 2266*w. Let t(l) = 6*l. What is m(t(d))?\nAnswer: 10620*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -36 + -29 + 45 + (44 - -1)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4323962*m - 2162271*m - 2161625*m.\nAnswer: 66*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4118532 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -1 - ((6 - 10) + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24836117562 less than -0.554?\nAnswer: -24836117562.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 1322985.\nAnswer: -1\/440995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of q**8\/2940 - q**6\/315 + q**4\/42 + 8*q**3 + 25. Let j(r) be the third derivative of p(r). Let j(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -0*l - 3236. Let v = l + -3853. Let j be v\/105 + 2\/7. Round j to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -51 - -38.7. Let h = 12 + v. What is the nearest to h in -5, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -201  (b) 16903  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a factor of 679173159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -234483.818 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, e: 4, j: 2, c: 2, k: 4, p: 1}. What is prob of picking 1 w and 1 k?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p - 3. Let z(s) = -s**3 - 5*s**2 + 6*s. Suppose -x - 4*x - 30 = 0. Let v be z(x). Let i be w(v). Put i, 0.4, -1 in increasing order.\nAnswer: i, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -623 and 0.3.\nAnswer: -622.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 + 22*l - 2257. What is z(-63)?\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/6351 and 37\/1387?\nAnswer: 120669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 divided by -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -4*v - 3429. Let o(j) = j - 8. Give 2*o(k) + t(k).\nAnswer: -2*k - 3445","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 5*r + 2*r + 23 = 0, 0 = -i - 2*r + 6. Let c(q) = q**3 - 4*q**2 - 2*q - 8. Give c(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6181 and 2649?\nAnswer: 18543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-96)\/(-26))\/(125364\/(-1222299))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g - 4. Let a be i(-15). Factor -a*f - 6*f**2 - f + 10*f**2.\nAnswer: 4*f*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - (-11 - -3)) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7848450 + -1?\nAnswer: 7848449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + (16 - (36 - 32) - 19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3753 + -3705. Solve 0 = 97*o - 105*o + q for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -29228104?\nAnswer: 29228104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*j = 18*j - 216. Find the second derivative of -269*k**2 + 13*k - j*k + 165*k**2 + 178*k**2 wrt k.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112213629.\nAnswer: 3, 11, 73, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**3\/13 - 43038*g**2\/13 + 2*g\/13 + 43038\/13 = 0. Calculate g.\nAnswer: -21519, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -661.4894 rounded to one dp?\nAnswer: -661.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 17538, 17595, 17652, 17709?\n\"Answer: 57*x + 17481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.664864 and 8.\nAnswer: 8.664864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 648 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 5*o + 19 = 0, -2*o - 3 = 3*g + 2*g. Let u be (-63)\/13 - (-30)\/(-195). Let r be (-2)\/u - (-65)\/25. Solve -g = j - r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(5) + sqrt(55)\/sqrt(11))*4)**2.\nAnswer: 48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-24)\/(-64))\/((-3)\/(-2)). Let g(z) be the third derivative of -1\/120*z**6 + 1\/10*z**5 - z**2 + 0*z + 0 - 1\/2*z**3 - x*z**4. Determine g(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/102 and -107\/2516?\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/4 + (-47)\/(-4). Solve 3*a + 2*j - 4 = 0, -2*a = -4*j + 36 - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1138916 is divided by 569396.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-1 + 1\/4). Let b = 1 - u. Let k = -5 - b. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32403079339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1293 - (64\/(-10) + (-4)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*k**2 + 178*k**2 + 55*k**3 + 2672*k - 148*k**3 - 2672*k.\nAnswer: -93*k**3 + 121*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -194 - 10 = 17*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -1.2. Let i = -24 - -23.16. Let o = u + i. Which is the third smallest value?  (a) 3\/2  (b) o  (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1080777332449632 and -1.\nAnswer: 1080777332449631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/40)\/((-3)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2468730919 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -11*q - 68. Suppose 1751*v + 1072 = 1617*v. What is a(v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + v = 5*v + 5, -5 = -j - 4*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 33 = -5*m, -3*m - 3*q = m + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3204779233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 12. Suppose -p + 0 = -1. What are the prime factors of p + n*3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25 in -6\/5, -0.3, 6\/11, 0?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-264)\/(-55)*(14 - 222\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16752 = 5*s - 4*u, -u = -2*s + 1516 + 5183. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 34*r + 158. Let t be o(-3). Let z(k) = -98*k**2 + 56*k + 56. Let c(d) = -9*d**2 + 5*d + 5. What is t*c(u) - 5*z(u)?\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -411 - -414. Let n(i) be the second derivative of -i**4\/12 + i**3\/3 + i**2 + i. Give n(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of 0*l**5 + 0*l + 0*l**3 - 5*l**2 + 0 + 1\/1050*l**7 + 1\/600*l**6 + 0*l**4. Factor k(i).\nAnswer: i**3*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**2\/15 - 7103788*g\/15 + 6307975493618\/15 = 0. What is g?\nAnswer: 1775947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from ppfcgggfglfpgfffl.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 2*f. Suppose o = -2*v - f*o - 41, -4*v = 3*o + 87. Let s = 35 + v. Calculate the highest common divisor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*t + 0*t - 7*t + 1876 = 24*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = h - 5*n, -40 = -4*h - 2*n - 2*n. Suppose 4*f - 5*g = -7, 12 + 3 = 5*g. Let i(x) = -18*x - 184. Let t be i(-10). Put t, f, h in descending order.\nAnswer: h, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7303474 is divided by 1945?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/4)\/y*y**3*y**(-2\/9)*y*y\/(y*y**(1\/4)\/y*y))\/((y\/(y**(2\/5)\/y*y))**(-7\/5))**(-2\/79) assuming y is positive.\nAnswer: y**(80219\/35550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39059905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/((t**(-9)\/t)\/t))\/(t*t**(-21)\/t*t))**(-46) assuming t is positive.\nAnswer: t**(-1472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 129007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -104*w + 2. Let j be z(-2). What is j rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6762 and 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -1, 3, -5, -8 in increasing order.\nAnswer: -8, -5, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5311)\/(-3) + (4\/9)\/(20\/(-15)).\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11741.84 or 4\/3?\nAnswer: 11741.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2717\/3390 - 1\/678. Solve -a*p + 0 + 4\/5*p**3 - 14\/5*p**4 + 14\/5*p**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 268, 580, 892, 1204, 1516?\nAnswer: 1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 + 2*o + 3. Let u be z(0). Let k(c) = -c**3 + c**2. Let h(p) = 2*p**3 - 3*p**2 + p + 2. Calculate u*k(g) + h(g).\nAnswer: -g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o*o\/(o**(-5)\/o)*o))\/(o**(-3)\/o))**(2\/79)*(o**(3\/2)\/o)\/o**(-6\/7)*(o**(-2\/7)*o*o)\/o*(o*o\/(o*((o**(-5)*o)\/o)\/o))\/o assuming o is positive.\nAnswer: o**(8787\/1106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -30539, 5 in ascending order.\nAnswer: -30539, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 158\/(-8) - (-1671)\/(-6684)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14.3 + -14.278. What is a rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, 4927, 4, 0, 53.\nAnswer: -1, 0, 4, 5, 53, 4927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-30))\/(1\/((-6)\/14))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 887649?\nAnswer: 3, 7, 43, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + 5. What is the remainder when (3 + (0 - 147\/9))*(-840)\/350 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(187)\/sqrt(1100).\nAnswer: -1 + sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 94815823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 3 r when four letters picked without replacement from {t: 2, q: 4, r: 3}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*o - 174 = 134. What is the remainder when 159 is divided by o\/7 - 0 - -44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/1034 and 5494\/(-27918) + (112\/(-70))\/((-132)\/15).\nAnswer: 27918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 280 - 2. What are the prime factors of z?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)*-2*5)\/((2*sqrt(50))\/sqrt(5)) + 3.\nAnswer: -5*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from elmvvzelzeezvzzz. Give prob of sequence emle.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4125252 (base 6) to base 16\nAnswer: -30620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 734546 by 1.\nAnswer: 734546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -1  (c) -2\/9  (d) 1548\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19837057 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.7 + 0.6. Let i = -0.2 + 0. Which is bigger: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -0.07, -1\/104, -0.03?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*v**2 + 9330782*v - 9330782*v + 8 - 3.\nAnswer: -22*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 12:53 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1075 + -1011. Solve -q + 69 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 104*b**2 + 924*b - 3710. Determine t(4).\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28295, 56590, 84887, 113186?\nAnswer: 141487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100101 - -10102012100?\nAnswer: 10102112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -18285.7282 to 0 dps.\nAnswer: -18286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**2 + 158*f + 243. Calculate t(0).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -30116*-12\nAnswer: 361392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3672)\/48)\/(-51))\/((-126)\/8)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -519, -1103, -1659, -2103, -2351?\n\"Answer: 14*c**3 - 70*c**2 - 472*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 6460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39.3 - -39. Let d = 0.1 + -1.1. Which is the nearest to 2?  (a) o  (b) -0.2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/57 and -23\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72998 and 4?\nAnswer: 145996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o**(2\/3)\/o))\/(o*o**1))**(-33)\/(((o\/(o\/o**(2\/11)))\/o*o)\/(o\/(o**5*o))*o**3\/(o\/o**(-7))) assuming o is positive.\nAnswer: o**(-123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2110220 + 10010?\nAnswer: 2121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/7)*l\/(l*l**30\/l*l) assuming l is positive.\nAnswer: l**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 374*l. Let g(v) be the third derivative of -v**4\/24 - 596*v**2. Determine r(g(i)).\nAnswer: -374*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 38\/4370*-23 - (-1 + (-22)\/10). What is the fourth biggest value in 232, a, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 - -32*66\/(-44). What is the biggest value in 4, x, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 79*a**2 - 569*a + 74. Give x(71).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(-6)*4\/3. Let k be 0\/(q - -1 - -3). Let y = k + 4. Solve -2*c + 6 = -y*x, 30 = -2*x + 7*x + 5*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 3)*(4 - 4 - p) - 58*p + 99*p + 143*p.\nAnswer: 183*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-2) + (-52048)\/(-27280). Let m = t + 2\/1705. What is the common denominator of 77\/10 and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5 + 3 + (1 - 1). Let c be u\/1*(5 - 7). Solve 3*b = -c*i, -3*i = 3*b + 2*i - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -348 - -354. Solve t + 6 = x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 111256, 112002, 113244, 114982, 117216, 119946?\nAnswer: 123172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o. Let w(c) be the second derivative of -5*c**4\/6 + 2*c. Give f(w(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 61 in -42, 4, -3, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.16, -2, -1\/33, 4 in descending order.\nAnswer: 4, 0.16, -1\/33, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(360)\/sqrt(10) - 6*sqrt(4)*1))\/(sqrt(90)\/(sqrt(15)\/(sqrt(18)\/sqrt(6)))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 18\/5, -0.356, -0.63, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10235 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -198 or -398?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2880, -2878, -2876, -2874, -2872, -2870?\n\"Answer: 2*c - 2882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + i + 4 = 0, 3*i - 16 = 3*q - 2*i. Suppose -k = -2*k - q. Is k\/2*(-42)\/(-18)*-226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(125)*3 + -4 + (sqrt(50) - sqrt(3200))\/sqrt(10)*5*-1)**2.\nAnswer: -900*sqrt(5) + 12581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**6*f*f**(-2\/3))\/((f*(f**(-6)\/f*f)\/f)\/(f\/(f**(-1)\/f))) assuming f is positive.\nAnswer: f**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 11:20 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 35 = -5*x, -x = -3*x + v + 7. What is the third biggest value in -4, x, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 - (4 - 2) - -139. Let k be y\/(-225) - 4\/(-18). Let x = 0 + 0. Which is the smallest value?  (a) k  (b) 0.3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 6*r + 0 + 1 + 1 + 3*r. What is the tens digit of m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19818665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 794, 1636, 2478, 3320, 4162, 5004?\nAnswer: 5846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -13*q + 5*q. Let c(l) = -2 + 2 + 11 - q*l + 3*l. Let k(i) = -4*i**2 + i. Let m be k(-1). What is c(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 183151405?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3342*y + 334205. What is z(-100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*l**3 - 8\/3*l**2 + 0 - 16\/3*l.\nAnswer: -l*(l + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 i when three letters picked without replacement from {t: 2, o: 3, i: 4, e: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/15)*j\/(j**(-1\/6)\/j))**(-5\/7)*(j**0)**9\/((j**(-8)*j*j)\/(j\/(j\/j**(-3)))) assuming j is positive.\nAnswer: j**(65\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1982 is divided by 610.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*x + 7*z - 6*z - 9, 0 = -4*x + 3*z - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3571*v + 1456 - 1153 - 7407 = 3609 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9334504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/5  (b) 0  (c) 26  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 - o. Let c(l) = -l**2. Let f be c(0). Let d be m(f). What is the units digit of 8\/(0 - (-1 - d))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 321*h - 150*h - 139*h = 92*h + 3420 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78768.92kg to tonnes.\nAnswer: 78.76892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of b**5\/60 - b**2. Let j(t) be the second derivative of 0*t**2 + 0*t**3 + 0 - 1\/6*t**4 - 3*t. Determine j(m(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.93189 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 65?\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/519 - 2090\/3633. Do s and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -87755*i**2. Let z(g) = g**2. Give z(v(n)).\nAnswer: 7700940025*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*s**4 + 2036*s**2 + s - 3108.\nAnswer: -36*s**2 + 4072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2639.06 - -2670. Let b = -31 + y. What is the closest to b in -3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*r - 3*k, -r - 3 = k + 2*k. Suppose -m - 80 = -r*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4888309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkrkksrsk. Give prob of sequence rs.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/4*(-7 - (11 - 14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101011001 - 11?\nAnswer: 101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -s + 224, -14 = -4*s + 2. List the prime factors of p*44\/(-32)*6.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -7*b**3 + 2*b**2 - 4*b - 5. Let z be d(3). Is 25 a factor of z\/(4\/(-2)) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.8 and 272.43.\nAnswer: 273.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 49100, 49105, 49108, 49109, 49108, 49105?\nAnswer: 49100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00288747988 rounded to five decimal places?\nAnswer: 0.00289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n + 4. Suppose -12 = -3*p, 4*p = -3*s - 23 + 3. Let k be s\/32 + (-51)\/(-8). Calculate b(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 36468*c**3 - 36469*c**3 + 145871*c**3 - 36467*c**3 - 1 - 36463*c**3.\nAnswer: 4*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -7*s + 38. Give r(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x = 5*x + 8109. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4992 - 3016 = -76*n for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1327000 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iieiiiiiiieieieiii. What is prob of sequence ieie?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 837.1g?\nAnswer: 0.8371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 411 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 c when three letters picked without replacement from crcaqtcccatwaacaqcr?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57525 is divided by 543.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -432*r + 131*r - 263*r + 18920 = -7024 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -16222 minus -4361?\nAnswer: -11861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from brgggryyygbbobbbby. What is prob of picking 1 b and 1 o?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4)\/3)\/(2\/(-9)))\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2284040 divided by 9845?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 108 and 6831.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 88\/924*((-4)\/(-8)*-1 + 2). What is the third biggest value in a, 11, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34463722 (base 9) to base 11\nAnswer: 9502867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 24\/(-40))*(-3)\/6\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of i**4\/12 - 2*i**2 + 8*i + 5. Let y(a) = -309*a**2. Let m(p) = -44*p**2. Let c(g) = -15*m(g) + 2*y(g). Determine c(x(s)).\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*i = 104*i + 106*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2*(1 + sqrt(175))*-2)**2*6.\nAnswer: -84480 - 4800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.76914 - 11651625\nAnswer: -11651624.23086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, r: 2, t: 5, o: 6, g: 1}. What is prob of picking 1 r and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/6*(147\/(-10) - -15)\/((-2)\/(-70)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 723*n**3 - 6*n**2 - 8*n + 3. Let l be p(-3). What is the tens digit of (0 - -1)\/((-27)\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -176 + 877\/5. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 11783705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5888 - 1?\nAnswer: 5887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -5*u + 54*j - 51*j, -4*u + j - 21 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 8*o = 3. Let y be (10\/(-6))\/((-1)\/3). Sort 4, o, y in ascending order.\nAnswer: o, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v\/v**0)\/v**3*(v*v*v**(-2\/3))**(-50))**(6\/17))**(-31) assuming v is positive.\nAnswer: v**(12586\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12\/11?  (a) -16  (b) 3  (c) -0.2  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.033 - 3.033. Let g be (-3)\/4 - (-1)\/(-4). Let i be 1\/((-1)\/4 + g). Which is the closest to 1\/2?  (a) y  (b) i  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 35634, 142503, 320606, 569943, 890514, 1282319?\n\"Answer: 35617*p**2 + 18*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 122251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 88 and 3304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + s. Let f = s - -12. What is the remainder when 19 is divided by (34\/f + -2)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*q + 225728 = 52806 - 60854. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 608\/7 + -5123\/56. Let s = 1985\/50838 - -11\/458. Let b = -2278\/333 + s. What is the common denominator of b and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p. Let q(l) be the first derivative of 119*l**3\/3 + 16*l**2 - 1490. Determine r(q(c)).\nAnswer: 119*c**2 + 32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183*(15 - 17)\/((-12)\/18)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -2 + (-14 - -11) + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2\/9, 1, 3\/4, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 395 and 553?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 + 8884677*c + 26654004.\nAnswer: 3*(c + 3)*(c + 2961556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of -r**5\/60 - 7*r**4\/6 - 47*r**3\/6 + 31*r**2. What are the prime factors of i(-20)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5*s = -61, 0 = 2*r + 2*s - 20 - 6. Let v = 22 + r. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -5. Suppose -4*z - 12 = -4*j, 5*z = -f*j - 3*j + 17. Suppose -4*a = p - z, 4*p - a - 47 = -p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 + -9. Let t = -1 + 1.1. Let m = -3.2 - -3. Which is the closest to t?  (a) u  (b) m  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17584 - 47243 + 14857 = -190*u. What are the prime factors of u?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*p - 2*r = -75, -877*r + 874*r + 153 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(3\/4))**(-7))**35 assuming d is positive.\nAnswer: d**(-735\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -10*x - 7. Let k(t) = 3*t + 2. Let m(j) = 14*k(j) + 4*o(j). Let v(i) be the first derivative of -i**3\/3 + 1. Give v(m(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3\/4 + 3*x**2 + 41*x\/4 + 15\/2.\nAnswer: (x + 1)*(x + 5)*(x + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01479238473 rounded to 5 decimal places?\nAnswer: -0.01479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.17, -1, -3\/5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -1\/6, 2\/31, 0.2, -15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 260 + -210. Calculate the remainder when h is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/214323 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1710576.\nAnswer: 2, 3, 7, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3881333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -2*h**2\/7 - 108122323*h\/7 - 7723023 = 0.\nAnswer: -54061161, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25605 is divided by 612?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*t**4 - t**2 + 107*t**3 - 107*t**3 + 6*t**4 - 3*t**4 - 4*t**4 + 0*t**4 + 0*t**4 + 2*t**4 + (-4*t**2 + 6*t**2 - 4*t**2)*(2*t**2 - 3*t**2 + 0*t**2).\nAnswer: -2*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 470*x + 666. Let o(g) = 186*g + 266. Determine -7*m(z) + 18*o(z).\nAnswer: 58*z + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/10098 and 9\/187?\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 207 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -210004311 (base 5) in base 13?\nAnswer: -241566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67158387?\nAnswer: 3, 7462043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/5)\/((-4)\/(-24)*-4).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -33\/272806 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/4))**33\/(d\/d**2*d**(-2\/13)) assuming d is positive.\nAnswer: d**(489\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-205)\/82*(-6)\/(-165).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*a + 4*a - a)*(-19 + 8*a + 19)*(-4910*a - 257*a + 796*a - 5494*a) in the form o*a**3 + t*a + n*a**2 + q and give o.\nAnswer: 78920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 5. Let q = 3 + t. Let m(a) = 4*a - 4*a**2 + 2*a - 3 + a**3 + 0*a**2 - 2*a**2. What is m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1790.636 and 5.\nAnswer: -8953.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of -9415*a**6\/6 - 13*a**2\/2 - 177*a + 5688. What is the second derivative of n(y) wrt y?\nAnswer: -188300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 2\/169, -2\/17, -1\/9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 1:06 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 54 - 58 + 7*a**2 + 0*a - 2*a**3 + 0*a to f*a + t*a**2 + m + j*a**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.062818083 to four decimal places.\nAnswer: 0.0628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of 0*q**2 - 2*q**3 + 1\/6*q**4 + 0 + 6*q. Find the second derivative of n(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 + 19 + 3 - (-26 - (6 + -3 + 1))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 222372539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -r + 54. Suppose -3*o + 12 = -r. Let v(h) = 1 + 13*h**2 + h - o*h**2 + 17*h**2. Calculate v(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of v**6\/6 - 3*v**5\/4 - 5*v**4\/4 + 55*v**3\/6 - 15*v**2 - 2*v - 31. Factor r(b).\nAnswer: 5*(b - 3)*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 1. Let k = -73.47 - -73.67. What is the third smallest value in 0.7, b, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 4 = -14*s. Solve -8 = -n - s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1829827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 5*a + 10, 3*a - 6 = -j - 4. Suppose 6*h = j*h + 60. What is the greatest common factor of h and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -2*k**2\/5 - 1707352*k\/5 + 35855274\/5 = 0?\nAnswer: -853697, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1 + sqrt(4500) + 2 - sqrt(4500)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 584\/(-16206)*148*(-2)\/((-32)\/6)*-22\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-nine fifths of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*i = 5*w - 3*w - 24*i - 40, -3*w = 4*i. Let z(g) be the third derivative of g**5\/60 - 13*g**4\/24 + 3*g**3\/2 + g**2. Calculate z(w).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -0.8, 73, -0.04.\nAnswer: -0.8, -0.3, -0.04, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/3 or 5.51?\nAnswer: 5.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -71 + 70.9. What is the third smallest value in y, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.146097 + -81.804903. Let c = -82 - r. Let v = -1.149 - c. Round v to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122123320122 (base 4) to base 13.\nAnswer: 158837a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 290 - 294. What is the smallest value in 1\/2, a, 5, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from mwirwwwurwir.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.13500309 and 357?\nAnswer: 357.13500309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.1 >= 254821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45921408 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 2:25 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cjjccccj. Give prob of sequence jj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (143*m + 170*m - 364*m)*(5 - 2*m - 5) as i*m + w*m**2 + v and give w.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/6*1*2 - -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*o = 11*o + 129 - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/4))**(-2\/51)\/(q**(-11)*q**2))**(-1\/6) assuming q is positive.\nAnswer: q**(-919\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-7)*((-7175)\/(-650))\/41.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 0*k - k - 29 = 0, -3*k - 22 = -2*z. Let h be ((-32)\/z)\/((-4)\/20). Suppose p = -p + h. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4620961 less than or equal to -4621056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(2 - 42\/9)*3. What is the highest common factor of u and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 0. Suppose 7*n = m*n + 16. What is the third derivative of -6*r**4 - 3*r**2 + r**n + 5*r**4 + 4*r**4 wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-8 - (-5 + 4)) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + 57. Let l = q - 64.942. Round l to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.47 - 0.53. Let i = -4 - -8. Which is the nearest to 2\/3?  (a) 3\/2  (b) i  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/12 and 13\/22640232.\nAnswer: 22640232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 4 = 19. Let l(x) = -x**3 - x**2 - 2*x - 14. Let k be l(-3). Solve -5*c = 4*q + 1 + k, -14 = -2*c + r*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 363 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 855606 + -b?\nAnswer: 8555c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2131034 (base 5) in base 7?\nAnswer: -211051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 24 = -0*v + 3*v, 0 = -2*n + 2*v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 43607953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3525, -7048, -10571?\n\"Answer: -3523*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/33 + 129\/(-165).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 110041 + -32121?\nAnswer: 22420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b = 8*b + 36. Suppose v - 5*f + b = 24, 4*v = 3*f + 94. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 5) in base 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -s**4\/12 + 5*s. Suppose -16 = -3*m - 5*p + 23, -4*p - 30 = -m. Let w(k) = 10*k**2 + k + 1. Determine m*f(q) + 2*w(q).\nAnswer: 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 0, -2, -6, -12, -20?\n\"Answer: -j**2 + j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 3*k - 6. Determine z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -1528060.56\nAnswer: 4584181.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from rybryyrrrrrrrbrrrrrr.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 4*g - 176. Let x be l(29). Is -59 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1794 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 - 3*t - 2. Let r be q(-2). Suppose 2*o + 39 = 6*o + 3*c, r = 4*o + 5*c - 41. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1361 * 0.1\nAnswer: -136.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -3*j + 6, -81*j + 78*j = 4*q + 7*q + 85 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16132 + -16132.2. Which is the nearest to 0.15?  (a) x  (b) 99  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 0*b**2 - 65 + b**2 + 65. Let w(u) = 3*u**2 - 6*u + 11. Let t(z) = 4*p(z) - w(z). What are the prime factors of t(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 291*q = 287*q - 4*b + 8*b + 24, 2*b + 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2073119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -26785.6*0.8\nAnswer: -21428.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of 0 + 0*x**5 + 149\/30*x**6 + 0*x**3 + 11\/4*x**4 - 3\/2*x**2 + 197*x. What is the third derivative of w(s) wrt s?\nAnswer: 3576*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -48.0452 to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2*x**3 + 4*x + x**3 + 6258 - 6*x**2 - 6254. Let y(k) = k**3 - k**2 + k + 1. What is -o(f) + 4*y(f)?\nAnswer: f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -3\/2  (c) 2\/8111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 15 = 21. List the prime factors of 12\/z*3 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 510.4909 millilitres to litres.\nAnswer: 0.5104909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -31097.99863835 - -31098. Round d to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a - 14*v - 272 - 180, 4*a = 5*v + 1631 - 1486 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s*s**(-1))\/s)**(-19\/4)\/((s\/(s*s\/(s**(1\/10)\/s)))\/(s\/s**4))*((s**(-3\/5))**(-2\/13))**26 assuming s is positive.\nAnswer: s**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 1.4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*b + 64*b + 2 = 206 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 65623*z**2 + 8*z. Let o be x(4). Suppose 6*a - o = a. Suppose -a = -15*w + 14*w. Round w to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 3*c**2 + 162*c - 166. Let r be w(-55). Are r and 17\/40 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*o**3 - 42*o**3 - o**3 - 1 - 12*o**3 + 5*o**3.\nAnswer: -41*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1678, -1668, -1652, -1630, -1602?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 14*x**2 - 32807*x + 32807*x. Let l(k) = -3*k**2. Determine y(l(c)).\nAnswer: 126*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16780913\/36 + 465948. Let t = o + 741\/4. Calculate the common denominator of t and -38\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16765.68153 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 672 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 98\/(-7) - 1\/(-1). Let n = j - -52. Let z be (23 - -1)\/(n\/52). Calculate the greatest common divisor of z and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 11:48 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -5383630 rounded to the nearest ten thousand?\nAnswer: -5380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10001 + 2343?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 36*d + 4. Let s = 37 + -13. Let c be 10\/8 + s\/32. Let b be u(c). What is b rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -14 - (2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -55 (base 12) to base 8\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 10 = -5*o, 3*o - 5*l = -o + 28. Sort -0.01, -2, o in decreasing order.\nAnswer: o, -0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 523523 is divided by 5235.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4b (base 16) to base 6\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of l**8\/2240 + l**7\/1260 + l**5\/60 - 5*l**4\/12 - 3*l**2 + 7*l - 2. Let y(f) be the third derivative of u(f). Calculate y(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, w: 3, a: 2, j: 5}. Give prob of picking 1 s and 1 w.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 561667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-396)\/297 + 145\/(-58)*1088\/30?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5493592 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 - (-28 - -19 - 12) - 28.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 548, 550, 552, 554, 556?\n\"Answer: 2*r + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-182)\/21*1\/4*(-20)\/65.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 81, 296, 655, 1158?\n\"Answer: 72*c**2 - c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 672*n**4 - 3*n**2 + 2*n - 51.\nAnswer: 8064*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + (-97)\/2)*(-112)\/(-168). Let j be (56\/(-6))\/(44\/z). Calculate the highest common divisor of j and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 4*n**2 + 16*n + 144. Calculate the remainder when d(-10) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 3*d**2 - 2*d - 3. Let a(j) = j**2 + 6*j + 2. Let g be a(-5). What is the units digit of f(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n - 10, 865*n = -4*t + 868*n - 47 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10526605 + 4?\nAnswer: -10526601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*i + 121 + 98 = 16*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*u + 139*u = 3*i - 84, -3*u = 3*i + 6*u - 144 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -2.8  (c) -2\/3  (d) -0.17  (e) -6  (f) -0.1  (g) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172669832.\nAnswer: 2, 23, 40801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 307 - 132. Let z = -94 + c. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1239241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 783.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1461999508 and 0.4.\nAnswer: 584799803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 20, p - 4*p = 2*o - 22. Let r = p + 8. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 268479 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 3*x**2 + 1 + 2 - 4*x - 2*x**2. Let y = -10 - -13. Suppose -4*n - 5*h + 15 = -4*h, y*h = -4*n + 13. Determine u(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 0*x - 2 = 0. Let f be ((10\/x)\/(-2))\/1. Suppose -2*p = -4*y + 6*y - 40, -y = -3*p + 60. Solve h - f = j, 6*h - 2*h - p = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2284*x - 2*x**3 - 2293*x + 4577*x + 80*x**2 - 3*x**3.\nAnswer: -5*x**3 + 80*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14695 + -705479\/48. Let q be ((-20)\/72)\/((-5)\/44090). Let o = -2443 + q. Calculate the common denominator of t and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 85.47607 millennia?\nAnswer: 854.7607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 185 = 3*a - c, 5*a + 205 = 4*c. What is the remainder when ((-10)\/(-15))\/((-2)\/a) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x + 4*x + 15*x + 4*x**2 - 20*x.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v + 5. Let u(l) = l**2 + 2*l - 4. Let x be u(-4). Let j be i(x). Suppose -2*b = 3*b - 15. What is the highest common factor of b and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005272972 rounded to 7 dps?\nAnswer: 0.0005273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -420642 divided by -1.\nAnswer: 420642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2021?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -505061.9 and -14129.7?\nAnswer: 490932.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -41*r - 3. Determine t(-4).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1768 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 240*h**2 - 239*h**2 + 3 + 17 + (-3 + 4 - 3)*(-18*h**2 + 5*h**2 - 2*h**2) - 11*h**2 - h**2 - h**2.\nAnswer: 18*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 110 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -166, -1258, -4222, -9994, -19510, -33706?\n\"Answer: -156*r**3 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*m + 17*m + 115 = 23*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 914720 and 1176?\nAnswer: 134463840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 - -16. Let d be (-11550)\/49*28*q. Round d to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 337*f**5 + 2*f**2*g**3 + 2*f*g**3 - 2*g**3 + 51*g**2 + 2 wrt f.\nAnswer: 6740*f**3 + 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -802698?\nAnswer: 240809.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 6 = 1. Let w be (14 - 14)*1*q. Solve w = 2*z - 5 - 3, -4*r - 16 = -z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, 0.3, 0, 1784\/7, -2\/15 in decreasing order.\nAnswer: 1784\/7, 0.3, 0, -2\/15, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8 + 2)\/((-87)\/(-6) + -3). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, q: 3, w: 1, l: 4, o: 2, u: 2}. Give prob of sequence lkq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 120 = -5*n, -18 + 117 = 4*n - 3*m. Suppose -5*s - 4*i + n = -24, -5*i + 15 = -2*s. Suppose 1 = s*t - 94. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3505*f*n**3*o*p**2 - 2*f*n**3*p**3 + f*n**2*o*p**2 + 3*f*p**2 + 3*n*o*p**3 - 6*p**3 wrt n.\nAnswer: -21030*f*o*p**2 - 12*f*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -116, -955, -3236, -7679, -15004, -25931, -41180?\nAnswer: -61471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9315 divided by -1863.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*c**2 + 6103*c + 7*c**2 - 6103*c + 34757 - 34757.\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) + 5*sqrt(95)*-1 + 6*(sqrt(95) + sqrt(95)*-2))\/((sqrt(245) - (1*sqrt(245) + sqrt(245) - sqrt(245)))*3 - sqrt(245)).\nAnswer: 10*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.37 + 0.42\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(280)\/sqrt(20))\/(sqrt(8) + sqrt(72)\/(sqrt(9)*1) + sqrt(8))*1.\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5712865.\nAnswer: 5, 1142573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/6 + 53*f**2\/2 - 79*f\/3.\nAnswer: -f*(f - 158)*(f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of 17*o**5\/60 - 131*o**3\/3 - 197*o**2. Differentiate v(b) wrt b.\nAnswer: 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 8 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 6, -3\/7, -0.3, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of -53*q**6\/60 - 13*q**4\/24 - q**3\/3 + q**2 + 21. Find the second derivative of o(y) wrt y.\nAnswer: -636*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 8528454262205*t**3 + 104481680*t**2 + 320*t = 0.\nAnswer: -8\/1306021, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/4 and 51\/140467.\nAnswer: 561868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h**2 - 2*h**2 - h**2)*(-20 + 20 - 24*h**3) + 0*h**5 - 13*h**5 + h**5.\nAnswer: -36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 + 13*g + 1. Let d be f(-14). Let j be 287500\/d*(1918 + 2). What is j rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195466093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 249 + -249.2. Put g, 0, -3, 0.5 in descending order.\nAnswer: 0.5, 0, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = 5*u + 15*u. Suppose u = 6*n - 30. Let k(d) = d**3 - 4*d**2 - 3*d - 6. What is k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 2982867*x - 2982870*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 3 - 2, v - 59 = -h. Let y = h - 29. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5\/(-3))\/(10\/(-30)). Let q(v) be the second derivative of -v**3\/6 + 5*v**2\/2 + 2982*v. Determine q(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.17151 - 0.02849. What is the fourth smallest value in 20, 88, c, 0.5?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*n = -39*n. Solve 12*u + 3 + 9 = n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2601057761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*136\/(-96) + 4*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.09 in 0.02, -5, -1\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(6*-1*sqrt(117))\/((-3*sqrt(90))\/sqrt(10))*-2.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 280356 + -132295. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -a**7\/168 - a**5\/12 + 4*a**3\/3 - 9. Let r(t) be the third derivative of b(t). Find the second derivative of r(n) wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2\/5 - 7731*c\/5.\nAnswer: 3*c*(c - 2577)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -3*i + r - 1744, -568 = i + 2*r. Let v = i + 1159\/2. Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 49 from -293.013.\nAnswer: -342.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 - 7*g. Let x be c(7). Suppose 0 = l - x - 8. Solve l = -j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -3.7. Let f = y - -0.2. Let k = 165 - 161. Which is the nearest to 1\/2?  (a) f  (b) 2\/13  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(0 - m + 0 + (1 - 2 + 0)*(-2*m + 1 - 1) + (1 + 1 + 0)*(m - 2 + 2) + 314*m + 105*m - 45*m).\nAnswer: -377*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from {a: 2, p: 1, e: 4, m: 2, y: 1, s: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.52 - 0.12. Which is the second smallest value?  (a) 0.1  (b) k  (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12908, -25713, -38518, -51323?\nAnswer: -64128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/5  (b) 2\/5  (c) 370  (d) -2\/5  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -918*r**2 - 137916661*r + 137916661*r.\nAnswer: -918*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 264985637 a multiple of 1367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q*q**(5\/3)*q))\/q**7)**(26\/5))**(4\/9) assuming q is positive.\nAnswer: q**(-3016\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-13\/6)*r*r\/(r**18\/r*r*r))**(-6\/11) assuming r is positive.\nAnswer: r**(115\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 499588137 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -1768*n**5 + 31*n**3\/3 - 245. What is the third derivative of a(s) wrt s?\nAnswer: -212160*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35 + -79 + 80 - 52\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/9 + 25\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 79.5  (b) 19  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, o: 3, z: 1}. What is prob of picking 2 q?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26252?\nAnswer: 2, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (20\/(-25))\/2 - (-4)\/10. Which is the closest to g?  (a) 4  (b) -2\/5  (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - a = 866 - 881, 3*a = -4*w + 47 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -c + 141, -2*c - c + 15 = 0. Let n = 19 + f. Let x be (-2*1)\/(6\/n). Solve 0*q - x*q = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 1216?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (0 - 4 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**1)**19\/(v\/(v*v\/(v*v**14*v*v*v)*v)*v**(12\/11)))**(1\/4) assuming v is positive.\nAnswer: v**(21\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -524, -4001, -13408, -31709, -61868?\nAnswer: -106849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 + y. Let m(z) = 3*z**2 - 15*z - 8. Let i(g) = -m(g) - 4*s(g). Determine i(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, p: 4, a: 1, h: 3}. What is prob of picking 2 h and 2 b?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000085004 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 2) + (-12)\/(-3). Is (-2)\/4 - (-30)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/63 + (-88)\/(-14). Let u be (w - 2) + (7 + -3)\/(-4). Suppose -7*c = -c - 18. Solve c*r - 4*r - 2 = u*o, 2*o = 3*r + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 + 0)*(181*q + 4 - 95*q - 99*q) in the form k + t*q and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-120)*5*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 < -15.875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29\/7451 + 351447\/86468855. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 - 2*a)*(3*a - 5*a + 4*a) + a**2 + 2 - 2 + (2*a**2 - a**2 + 0*a**2)*(-12 - 56 + 2))*(2*a + 2*a - 3*a).\nAnswer: -69*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 - 8. Let p(o) = -o**3 + 6*o**2 + 2*o - 7. Determine p(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k. Let h be n(-7). Let i(b) = 3 + h*b + b - b**2 + 2. Let w be i(8). Sort w, 4, -3.\nAnswer: -3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 4*g**2 + g - 1. Calculate r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 20659 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2450, 2238, 1888, 1400?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 150 = 9*u. Let h be (6 - 450)\/(-4) - 1. What is the highest common divisor of h and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -429, -0.2, -1\/3 in descending order.\nAnswer: -0.2, -1\/3, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 199824 and 2760.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 7  (b) -1\/9  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151*m = 12*w - 156*m - 19, -4*m = 26*w - 56 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -2 + 10 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 71*w**4 + 188*w**4 + w**3 - 66*w**4 - 53*w**4 + 2296*w**2 to p*w**2 + v*w + a + l*w**4 + c*w**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2*o - 2*z + 8 = 0, -3*o - 13 = 2*z. Let s = 3 + o. Suppose -2*u - 3*u + 225 = s. What is the remainder when u is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3 - 16*x**2 + 73*x - 90.\nAnswer: (x - 9)*(x - 5)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 3*c + 2 + 0 = 0, -1 = u - c. Let n = u - -2. List the prime factors of (-3)\/(-2) - n\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2*p + 3)*(-4*p + 6*p + 0*p) - p + p**2 + p + 14 - 1989*p**2 - 14 + 383*p**2 in the form o*p**2 + m*p + a and give o.\nAnswer: -1609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m\/(m\/(m\/((m**(-5)*m)\/m)))))\/m**4*((m**(1\/2)*m)\/m)\/m*m**3 assuming m is positive.\nAnswer: m**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2 - 18197*d + 9084*d + 9135*d. What is c(2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(10\/(-2) - -4). Let m be 15\/4 - (-2)\/8. Let h be v*((-10)\/m + 2). Solve -l + 0*l + 1 = h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15*j*v**2*w**2 - 65*j*v*w**2 + 1463*j*w + w**2 + w wrt v?\nAnswer: -30*j*v*w**2 - 65*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -73*m**2 - 44*m + 82 + 8 + 73*m**2 + m**4 with respect to m.\nAnswer: 4*m**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 9) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 66564 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 294775419 is divided by 145?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/sqrt(576))**2 + 0 - (sqrt(25)\/sqrt(5)*2 + sqrt(5) - (1*sqrt(125))**2).\nAnswer: -3*sqrt(5) + 8005\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 76023893 to the nearest integer?\nAnswer: 8719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -32540 divided by 5?\nAnswer: -6508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -211\/12600 and 59\/20160?\nAnswer: 100800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 224001.2576 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of 79 + 0*j + 2\/27*j**3 - 4\/9*j**2. Factor m(t).\nAnswer: 2*t*(t - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2\/49, 14 in ascending order.\nAnswer: -2\/49, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -277*b**4 - 277*b**4 + b + 2 + 822*b**4 + 2*b**2 + b**2 - 2*b**3 - 273*b**4 to d*b**3 + t*b**2 + x*b**4 + l*b + h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from iuind.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25*j**2 + 4*j - 280 wrt j?\nAnswer: -50*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1043 = -j + 3*y + 4213, -2*y = -j + 3177. Does 178 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i. Let u be (2 - 2)*(-1)\/2. Suppose -7*z + 10*z - 54 = u. What is the smallest common multiple of z and f(-11)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -759*x**2 + 115. Let g(h) = 20*h**2 - 3. Determine 6*f(q) + 230*g(q).\nAnswer: 46*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -5, -0.15, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14669277 to the nearest integer?\nAnswer: 3830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -1937*t - 54278. Calculate i(-28).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w**2 + 686*w - 5433. Give a(8).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -13*v + 8. Let z(a) = -11*a + 7. Let t(p) = 4*k(p) - 5*z(p). Let x(f) = -6*f + 5. Calculate 5*t(y) + 3*x(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 0 - 29*f - 9 + 31*f.\nAnswer: 2*f - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -10270 (base 8) in base 9?\nAnswer: -5775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that t**3\/4 - 47*t**2 + 9373*t\/4 - 24843\/2 = 0.\nAnswer: 6, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -14*a**2 - 50*a + 5. Suppose m - 2*m - 5*j - 15 = 0, 5*j = 2*m - 30. Let o(v) = 8*v**2 + 26*v - 3. Let h(b) = m*o(b) + 3*p(b). Factor h(t).\nAnswer: -2*t*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4017041 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (750\/(-500))\/((-3)\/(-20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -564.813 rounded to the nearest integer?\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(-466)\/40 - (-8)\/(-32). Let r = i + -203\/20. What is the second biggest value in r, 0, 0.8, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 4. Suppose -b + 4 = -s*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1780484 times 13\nAnswer: -2.3146292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 35 = -9*d. Let g(s) be the first derivative of 0*s**2 + 4 + 0*s - 3\/5*s**d - 2\/3*s**3 + 0*s**4. What is the third derivative of g(j) wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 + 17*d**2 - 46*d + 79. Let g be x(14). Solve -37*v = -14*v - g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -4*n**2 + 4. Let u(q) = -2*q**2 + 2. Suppose 0*f - 5*f = 55. Let j(r) = f*u(r) + 6*h(r). Factor j(z).\nAnswer: -2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 2348 = -4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10.087 - -9.887. Let f = 17 - 14. Which is the closest to 0.2?  (a) l  (b) -1  (c) -3  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74954.\nAnswer: 2, 11, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + -1 + 20\/15)*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 - 16*k**2 + 15*k. Let q be c(15). Let m be 1*(4 + 1 + q). Solve m*y + 20 = 5*h, 0 = h - 0*h + 5*y + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**2. Suppose -g - 3*g + 4*t = 4, -5*g - t = 17. Let z(w) = -30*w - 16. Let o(y) = -6*y - 3. Let s(n) = g*z(n) + 16*o(n). What is x(s(c))?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 316197 is divided by 3363.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h - h + 2*h + (5*h + 2*h - 5*h)*(3 + 1 - 2) + 2*h - h + h + (2 - 1 - 2)*(1369*h - 741*h - 634*h - 278).\nAnswer: 11*h + 278","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - (-18)\/(-8))*-4. Let u = n + 9. Calculate the greatest common divisor of u and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/8 + 5\/4. Solve 0 = -u - t + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-1 + 39 - 39).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-5) - (-2772)\/770. Which is the nearest to -2\/9?  (a) 24\/5  (b) n  (c) -1.1  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1132 divided by -12.\nAnswer: 283\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1321691885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 6:23 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 25  (b) 0  (c) 0.2  (d) -3  (e) -71  (f) 9\/13  (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of -5*r**6\/6 + 12*r**5 - 50*r**4 - 10*r**3 + 925*r**2\/2 - 750*r - 1062. Determine v, given that k(v) = 0.\nAnswer: -2, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.749 and -9608897?\nAnswer: 9608893.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42059082, 42059085, 42059098, 42059127, 42059178, 42059257, 42059370?\nAnswer: 42059523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1279448, -1279436, -1279424, -1279412?\n\"Answer: 12*n - 1279460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -142246, -283542, -424838?\n\"Answer: -141296*a - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 161*t + 252. Let y be m(20). What is the highest common factor of 1953 and y?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(325) + 1 - sqrt(325)) + -3 + 4)**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5873*l - 719*l + 4509*l + 3852*l - 2233*l.\nAnswer: 11282*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 119 - 26. What is the common denominator of 101\/6 and s\/12 - (-2)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 10) to base 4\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*i = 23*i + 12. Let y(g) be the second derivative of -2*g**2 - 2*g + 0 + 1\/2*g**i. What is the first derivative of y(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in 1\/13, -24, 0.5, -4, 1.4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of -d**5\/2 + 5*d**4\/4 - 3*d**3\/2 + 37*d**2. Let v(q) = -q**2. Let a(r) = -t(r) + 5*v(r). Find b, given that a(b) = 0.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - 11. Let x = 13.1 + p. Let g = x - -3.5. What is the biggest value in g, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 245887\/13 + -18905. Let f = -691\/39 + g. Calculate the common denominator of -37\/297 and f.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**5 + t**4 - t**3 + t**2 + t. Let k(l) = 7*l**5 - 7*l**4 + 4*l**3 - 4*l**2 - 5*l - 1. Let d(q) = 6*b(q) + k(q). Let d(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffffyfyyffyyyyyfyf. What is prob of picking 1 f and 3 y?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 252718.7um?\nAnswer: 252.7187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*v - 2*v**2 - 4*v + (2 - 3 + 6)*(-2*v**2 + 3*v**2 - 2*v**2) + 3*v + v**2 - 3*v to g*v + d*v**2 + z and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -4 - (-6 - (0 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000480603 to six dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*a - 2)*(2 - 4 + 1) - 9*a + 0*a + 3*a + 1 - 1 - a + (2 - 16 - 1)*(2*a - 4*a + a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 7 = -3. Suppose y = r*y - 12. Solve 10 = 5*z + 2*a - 5, 12 = 4*z - y*a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27006 is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20557071.\nAnswer: 3, 163, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1264.3 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, s: 3}. Give prob of sequence jj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -5252018 divided by 4\nAnswer: -2626009\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-77)*(-1449)\/690)\/(4\/(-10))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from agnvnng. Give prob of sequence ag.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 6, i: 2, n: 1, p: 2, c: 1}. Give prob of picking 1 p and 1 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*y**3 - 7 + 16*y**3 + 0 + 35*y**3 + 5 - 2*y to the form f + q*y + a*y**3 + z*y**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 545986 greater than 545987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-9)*((-2)\/3)\/((2227200\/(-3240))\/32).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36 - -35. Let m = -20 - -32. Suppose h - m = -3*h. Put 1, h, u in decreasing order.\nAnswer: h, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148488?\nAnswer: 2, 3, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from qpop?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110 (base 4) to base 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 54, 0, -0.5, -510?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of 1\/30*l**7 + 0*l - 7*l**2 + 0*l**5 + 0*l**4 + 0*l**6 + 7\/6*l**3 + 0. Find the first derivative of o(s) wrt s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 20 = 2*g - 5*s, -2*g + s = 4. Suppose -3*z + 3*d = 3, 0*z - z + 7 = -5*d. Sort z, 3, g, 5 in decreasing order.\nAnswer: 5, 3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 7:52 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 74, 2.\nAnswer: -4, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -7*u**2 + 0*u**2 + u**3 - 5*u + 8 + 5*u. Let v be z(7). Solve 0 = 2*s - 0*s + v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*u**5 + 368*u**3 + 1428*u**2 + 11.\nAnswer: -480*u**2 + 2208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2236925 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -312*d**2 + 16860*d - 644. Determine c(54).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 7*y = -15. Suppose -8*j**5 + 5*j**5 + 5*j**5 - 3 - 9 - 12*j**y - 8*j**2 + 4*j**4 + 26*j = 0. What is j?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.07 + -5.07. Let t be (-618)\/(-4)*(-19)\/(-19836). Let r = 2\/87 - t. What is the closest to 1 in m, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 - 3*z**3 - 26*z**3.\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of 0*r**6 + 0*r**4 + 0*r**5 - 5\/3*r**3 + 0*r**2 - 3 + 2\/7*r**7 + 0*r. Find the third derivative of w(b) wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -8\/3  (b) -9  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 4524*s**2 + 846*s + 5849. Is q(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 265*-5.8\nAnswer: -1537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 95491 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: Calculate -12 + (-11 - -3 - -21) - ((9 - 12) + 60).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddrrddtsdr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -4*r - 75. Let y be p(-19). Let s = -3231\/35 - -473\/5. Is y at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 1 - 5)*(17 - 12 + 45)*(-w + 10 - 1 - 7)*(0 + 0 + 2) + 2*w + 1 - 1 to the form u + d*w and give u.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 6*h - 7. Let c be q(5). Let o = c - -35. Suppose v = 9, -4*x - 3*v + 734 - 163 = 0. Calculate the remainder when x is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1964637 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -289829 rounded to the nearest 1000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 5*s. Let p be (-3)\/1 - 240\/(-16). Let w be 16 - (5 + -5 + -3). Let c(n) = w*n - p*n - 5*n. What is c(j(r))?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9418 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47.23 + -18.23. Sort -1\/3, -0.5, -12, p in decreasing order.\nAnswer: p, -1\/3, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4434000 = 4*g + 4*z, 5*g - 2575156 = -3*z - 8117656. What is g rounded to the nearest 10000?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 14) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5*0.0969\nAnswer: 0.4845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 7:42 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*a - 97 - 35. Suppose a*s = -5*o + 308, -o - 336 = -4*s + o. What is the smallest common multiple of 20 and s?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((-34)\/(-3) + -2 - 1)*6 and 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.904 - -0.086. Let k = -0.01 - q. Let t = k + 2.000001. Round t to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 29126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + 8*g**2 - 9*g + 7. Let p be (-3 + 1)*(-36)\/(-8). Is 5 a factor of u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 + 6*c**4 - 9 + 2*c**4 - c**4 + 0*c**4 + (-c - 3 + 3)*(-2*c**2 + 2*c**2 - 3*c**3) in the form o*c**3 + w*c**2 + n*c**4 + i + k*c and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + 10*o**2 - 10*o - 4. Let n be a(-11). Let s = n - -30. Suppose -m + 17 = -s. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.76 + 6.26. Which is the nearest to -1?  (a) 0.1  (b) w  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-8*1 + (-19470)\/(-2442)) + (-50825)\/925?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 + 4*j**2 - 6*j - 9. What is p(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + -1*(sqrt(704) + (sqrt(704) - 3*sqrt(704)*4) + sqrt(704) - (0 + sqrt(704) + 2 - sqrt(704)))*2)**2.\nAnswer: -456242 - 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6925053 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of -y**5\/60 - 8*y**3\/3 + 17*y**2. Let k(a) be the first derivative of j(a). Let u(c) = -9*c. What is u(k(n))?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-7)\/(z\/((z\/(z\/(z*z**(-8)*z)))\/z)*z))\/(z*z*z**0*z*z)**(6\/13))\/(((z**(-3)*z)\/z**(-9))\/(z*z\/z**7*z*z*z**(-1\/14))) assuming z is positive.\nAnswer: z**(-5081\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-3 + (sqrt(1900) + -4 + (sqrt(1900) - (sqrt(1900) - (-1 + sqrt(1900)))) + sqrt(1900) + sqrt(1900))**2 + ((-2 + sqrt(1900))*4)**2 + 4)*5 + -5.\nAnswer: -5200*sqrt(19) + 304450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -6*j**2 + 3*j - 2. Let a be v(-4). Let c be 0\/(-12) - a\/(3 - 1). Differentiate 2*d**4 - 32 - 26*d**4 + c with respect to d.\nAnswer: -96*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 2:00 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6 - 11) + 3 - 0) + -13 + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/((-12)\/(-2)))\/(3120\/(-20800)).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -91898, -91899, -91900?\nAnswer: -91901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 56 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.087, 3, -1 in decreasing order.\nAnswer: 3, 0.087, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-49)\/(-8) + (-6)\/48 - 4. Let i be 4 - ((m - 12\/3) + 1). Solve -n - 5*q = -i*n - 8, 0 = -5*q + 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 99*w = 1699, -45*i + 5*w + 101 = -49*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 88*g**2 - 683*g + 4. Give q(7).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 8\/221  (b) 2  (c) -0.7  (d) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (180\/16*36\/(-54))\/((-669)\/12488)?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13175, -3\/5, -11, 0 in increasing order.\nAnswer: -11, -3\/5, -2\/13175, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**0)**(3\/7)*(f*f**(-1\/2)\/f)**44 assuming f is positive.\nAnswer: f**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - 6*u**2 + u. Let h(m) = -6*m + 6. Let k be h(2). What is a(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - 10. What is the third derivative of d**v + 4*d**6 - 5*d**2 + 14*d**2 wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**0\/j))**(-30))**(2\/7) assuming j is positive.\nAnswer: j**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -28 - (-106 - -75).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-2\/41))**(-45) assuming j is positive.\nAnswer: j**(-1935\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 3, a: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -689, -687, -685, -683?\n\"Answer: 2*y - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7.0792 + -7.2792. Let w = -0.1 + 0. Let x = 5.04 + -0.04. Which is the closest to w?  (a) i  (b) x  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75*j**3*k**2 + j**3 + 3*j**2 - 3*j*k**2 + 35*k wrt j.\nAnswer: -450*j*k**2 + 6*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 66 + 16. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-2))\/((-2772)\/144)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 293*65192\nAnswer: 19101256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1492 is divided by 395.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 2 + 2)*(0*n + 5*n - n) - 3*n + 3*n - 5*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 12, s: 2, u: 5}. Give prob of picking 2 u and 2 j.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-60)\/84*7)\/(1\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87020900.\nAnswer: 2, 5, 373, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - n = 2*p - 3783, p = n + 1874. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 308594554 or 1\/3?\nAnswer: 308594554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -172*d*i*y + 2*d*i + 3*d*r - 2*i*r - 2*i - r*y with respect to y.\nAnswer: -172*d*i - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -4, 36, 33, -1, -5 in increasing order.\nAnswer: -5, -4, -1, 13, 33, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 68062 = 5*z, -5*m - 13598 = z - 9*m. Round z to the nearest one hundred.\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 12*v**3 - 10*v**2 + 39*v - 745. What is the thousands digit of u(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4*d = 43, 0 = -4*w - 2*d - 2*d + 172. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2171178.26 - -0.5.\nAnswer: 2171178.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 258, 1038, 2302, 4044, 6258, 8938, 12078, 15672?\n\"Answer: -j**3 + 248*j**2 + 43*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3991110 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 89 + 0 + 5 + -4. Let k = m - 86. Put 2\/9, 2\/5, 0.1, k in ascending order.\nAnswer: 0.1, 2\/9, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) + 2*((sqrt(85) - sqrt(85)*1) + sqrt(85) + sqrt(85)))*1)\/(sqrt(245) + (sqrt(245) - (sqrt(245) + 6*sqrt(245)*2))).\nAnswer: -5*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - p = -15. Suppose -3*i + 4*a + 205 = -22, -3*a = -p*i + 360. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**3\/4 - 2161*d**2\/2 + 43311*d\/4 - 9747 = 0. Calculate d.\nAnswer: -4332, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5 and 50040826.\nAnswer: 50040831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 1 = 5*c - 4*c, -2*g = 4*c + 4. Suppose -4*t - a + 101 = 0, t - a = -g*a + 19. Let x = t + -16. Calculate the greatest common divisor of 32 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.03 - 3.97. Let q = 18 - 9. Let j = 8 - q. Which is the closest to j?  (a) 1\/2  (b) -1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5751080089 to the nearest integer?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n + n + 3*n + (-2 + 1 + 3)*(0 + 0 - n) - 4*n + 7*n - 4*n + (3 - 2 - 4)*(-14*n - 192*n + 46*n))*(-4*n + 0*n - 2*n) as m*n + h + a*n**2 and give a.\nAnswer: -2868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of d**5\/15 - 61*d**4\/2 - 368*d**3\/3 - 217*d**2 - 4. Factor h(j).\nAnswer: 4*(j - 184)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -0.11, 0.11, -36 in decreasing order.\nAnswer: 0.11, -0.11, -10, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 PM and 1:58 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 2*w - 272 = 0, -2*w + 7*w = 2*r - 112. Find the second derivative of 2*x**5 + 8*x**5 - r*x + 70*x wrt x.\nAnswer: 200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 147056361 to the nearest integer?\nAnswer: 12127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + (-30 - (-16 + -2)) + 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66235 is divided by 22074.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001764828155 to seven dps.\nAnswer: 0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4700\/(-220) + -25 - (-4)\/11.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -5*l - 12. Let c be a(6). Let f be (-7)\/(-21)*(-9)\/c*-2. What is the fourth biggest value in f, -0.5, -4\/3, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + t = -25, 0 = 3*o - 5*t + 10 - 33. Suppose -3*x = -o*x + 138. Let d = 4 - -12. What is the remainder when x is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 69.6987 + 0.2513. Let q = 70 - w. Put 2, -1, q in descending order.\nAnswer: 2, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of 0*n**6 + 0*n**5 - 7*n**2 + 0*n**3 + 13\/210*n**7 + 0 + 7\/24*n**4 + 0*n. What is the second derivative of p(v) wrt v?\nAnswer: 156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**3 - 40*q**2 - 19*q - 42. Give g(21).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (247\/95)\/(12\/5501). Let q = -394420\/329 + 74\/1645. Let o = l + q. Find the common denominator of o and -53\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9\/2)\/(30\/80). Suppose -3*k + p + 8 = 0, 0 = -5*k + p + 2*p + n. Let r be ((-1)\/(-2))\/(1\/(-8)). Sort k, 0, r.\nAnswer: r, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*(-22)\/(-6) - 2. What is the derivative of -1 + d*z - 4 - z wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 2*x + 2*x)*(33*x**2 + 9*x**2 + 3*x**2) - 2*x - 2*x**3 + 2*x.\nAnswer: 43*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 4*o**5\/7 - 1110978*o**4\/7 - 79356*o**3 + 555490*o**2\/7 = 0.\nAnswer: -1, 0, 1\/2, 277745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -7 - -2 - 57*((-8)\/(-18))\/(-4). Let i(t) be the first derivative of 0*t - z*t**3 + 0*t**2 - 10. Factor i(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g**2 - 26*g + 75. Let h = 22631 + -22627. What is s(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 5, -9*a = -x - 8*a + 325. Let g = x - 320. Solve -18 = g*i + w, 5*i + 2*w = -0*i - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of k**4\/96 + 37*k**3\/8 + 12321*k**2\/16 - 532*k. Factor j(x).\nAnswer: (x + 111)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 10*a + 37 - 122 = 0. What is a rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -565 (base 10) to base 4\nAnswer: -20311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t - 804*k - 806*k + 1612*k + 17, -5*k = 3*t + 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 800896 - 1772921. Let y = c + 972052.000005. Let h = y - 27. Round h to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 258508811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-t**2 - 2*t + 2*t)*(141 + 65 + 191)*((-4 + 0 + 3)*(-2*t + 1 - 1) - 1904 - 17*t + 2*t + 1902) as x*t + l + w*t**2 + c*t**3 and give w.\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1777317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/31)*x**4*(x*x*(x*x*x**2*x*x)\/x)**(-6))**(-13) assuming x is positive.\nAnswer: x**(15340\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 645925205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, -1, 1 in decreasing order.\nAnswer: 1, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-5 - (-4 - (7 + -14)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9877.049 nanograms to grams.\nAnswer: 0.000009877049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uinuzgguuunggn. What is prob of picking 3 g and 1 i?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16?  (a) 0.5  (b) -245  (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 328254 (base 12) in base 3?\nAnswer: 1111202100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-655)\/786)\/(4*1\/(-6))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*c - 0*c. Let v(t) = -t**3 + 3*t**2 + 3*t + 1. Let a be v(4). Let p be (-1)\/(3\/a)*-3. Sort p, -5, c in decreasing order.\nAnswer: c, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -9746?\nAnswer: -19492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5049\/330 + (0 - 15)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22.46 - 22. Let d = -0.08 - x. What is d rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.7?  (a) 4  (b) 2\/3  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 6 = 2*s. Let g be (0\/(3 - 4 - s))\/3. Are g and 4\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, h: 3, t: 5}. What is prob of sequence hht?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2)*z**(2\/3)*z*(z**(-1\/3))**(-12) assuming z is positive.\nAnswer: z**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -i - 0. Let u(m) = -m**3 + m + 1. Let v(x) = -7*x**3 + 5*x + 4. Determine i*v(z) - 4*u(z).\nAnswer: -3*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1949*u + 41558 = 481*u - 23034 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*n - 114*n - 5*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1746)\/15*(-25)\/10. Let n = t - 207. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4968.2 to the nearest ten.\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.036 - -0.036. Which is the closest to z?  (a) -0.1  (b) 7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 4) to base 16.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, c: 1, v: 2}. Give prob of sequence vq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69, -75, -83, -93?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -8*(-2 + (-3)\/(-2)). Suppose -m = o*m + 25. Let g(c) = c**2 + 4*c. What is g(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c + 1. Let n(g) = -g**2 - 5*g - 8. Let y(s) = 4*a(s) + n(s). Suppose 4*i + 50 + 53 = v, 47 = -2*i - v. Let h be 3\/(-5) - 15\/i. Give y(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2453 (base 7) to base 12.\nAnswer: -648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/2))**(-2\/29))**(-31)*((v\/v**(-1\/2))\/v)**10\/((((v\/v**(-2\/3)*v*v)\/v*v)\/v*v)\/v)**(-17) assuming v is positive.\nAnswer: v**(4472\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**4 + 725*c**3 - 449*c**2 - 5775211*c wrt c.\nAnswer: -24*c**2 + 4350*c - 898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dkj when three letters picked without replacement from djjdki.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 155 - 149. Let g(l) = 40*l - 51. List the prime factors of g(f).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 253\/5 - (-6)\/15. Suppose 5*l - 2 = -2*g + 7, -l - u = -4*g. Let d = -6 + g. 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: 879 times -0.136072\nAnswer: -119.607288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*r**4 + 44*r**3 - 118*r**2 + 76*r = 0. What is r?\nAnswer: 0, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4*4\/20 - 0. Let k = -4\/3 - -19\/12. What is the second biggest value in 0, k, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/2913, -5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -193, -511, -975, -1585, -2341?\nAnswer: -3243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -11*y + 11. Let l(v) = -4*v + 1. Calculate l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 - 6*z + 8. Let g be l(6). Suppose -47 - 3 = -5*b. Let u = b - g. Solve -2 = u*n - 0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 482 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/15 and 173\/340409286.\nAnswer: 1702046430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 54 + -48. Solve -g + i*g = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 341444 (base 5) to base 13.\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (11 - 5 - 4)) + (18 - (-54 + 22)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2088 + 2083 + v - 225*v**3 - 205*v**3 in the form h*v**2 + o + n*v**3 + p*v and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45669.\nAnswer: 3, 13, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - 17*s - 56. Let d be n(20). Suppose -5*i - 5*m + 90 = 0, 23*i - 18*i = -d*m + 91. Calculate the remainder when 1 - (-70)\/2*1 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -536 divided by -199243?\nAnswer: 536\/199243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 21*(2\/6 + 0). Let i(x) = -x**2 + 10*x - 8. Let b = -11818 + 11856. What is the remainder when b is divided by i(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*y**2 + 16*y**2 + 22*y**2 + 20*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 258 - 250. What is the remainder when 68 is divided by (f\/(-28)*2)\/(1\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 AM and 7:14 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -55 + 74. Let x = -10.24 - -0.24. Let t = x + r. Is t > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - 1113?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 4, -152 + 1636 = 5*i - 3*z. Let p = i - 211. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4\/7 + 348*k**3\/7 - 405*k**2 + 4622*k\/7 - 2136\/7.\nAnswer: (k - 6)*(k - 1)**2*(k + 356)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 3*h - 333, 0*h - 5*b = -h + 111. Let w be (-1)\/((-6)\/(-176)) - 74\/h. Is -32 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, i: 11}. What is prob of sequence iv?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 227 divide 8853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -491\/5 - -99. Let a = -2103 + 2103.1. Put g, a, -2\/11 in descending order.\nAnswer: g, a, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3018, 11065, 24480, 43263, 67414?\n\"Answer: 2684*z**2 - 5*z + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -455*n = 177 + 18023 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, q: 2, r: 10, d: 2, j: 2}. What is prob of sequence rj?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + -3. Solve -t + 29 = -4*h, 0 = 3*g + 4*h + 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - -2. Suppose -3*k = -2*w - 4*k - 4, -w - 20 = -4*k. Let o(l) = l**2 + 11*l + 30. Let r be o(w). Solve -r*m - d*n = -5*m + 17, m + 5*n = -26 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 + 16. Suppose o = -p - p + 162. Suppose l - p = -5*g + 16, -5*g + 3*l = -89. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 1363 = -1354 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**3 - 61490436*n**2 + 122980881*n - 61490442.\nAnswer: -3*(n - 1)**2*(n + 20496814)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - f - 1. Suppose 8*i + 0 + 0 = 0. Suppose r - 5*r - 12 = i. Calculate s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -39.5 * 1.023383\nAnswer: -40.4236285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r + 4 - 4 = 0. What are the prime factors of (338 - r)\/((-14)\/(-7))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 481 + -437. Suppose -x*p + 14 = -43*p. Solve -3*q + 4*w = -5, 3*q = -4*w + p - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of a**5\/20 + a**4\/4 - 97*a**3\/6 - 99*a**2\/2 + 646*a. Suppose b(m) = 0. Calculate m.\nAnswer: -11, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 5*i - 362 - 988, 3*w - 1350 = 2*i. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -16. Let l(x) = 11*x + 10. Let d(t) = 4132*t + 37. Let g(o) = -919*o - 9. Let z(b) = 2*d(b) + 9*g(b). Determine s*l(c) - 7*z(c).\nAnswer: -6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -7*p**6\/30 + p**5\/5 - p**4\/6 + 29*p**2 + 105*p. Find the third derivative of r(m) wrt m.\nAnswer: -168*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001101100011 - 1001110010?\nAnswer: 10000011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 - 16*x - 18. Let a be i(-14). Suppose 8*q - a*q - 12 = 0. What is the remainder when (-44)\/(-6)*q\/(-4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/20)\/(2178\/605)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -13*v + 155. Let u be z(12). Let t(r) = 2*r**2 - 2*r - 4. Let o = -5 - -8. Let d(c) = -c - 1. What is o*d(y) + u*t(y)?\nAnswer: -2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 25281600 and 772800?\nAnswer: 176971200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/6 and 2307\/4266 - 50\/225?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -10779, -7022, -3277, 456, 4177, 7886?\n\"Answer: -6*b**2 + 3775*b - 14548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.17659591 from -7.\nAnswer: -6.82340409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/200690 and 37\/903105.\nAnswer: 1806210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -311898 * 5.\nAnswer: -1559490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42 - -42) + -1 + 2 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 187 and 495.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1652*y**3 - 5 + 5 - 1661*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -9, -298, -3 in increasing order.\nAnswer: -298, -9, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.011 - -10.311. Let r = 10 - m. Let i = 235 + -238. What is the second biggest value in 0, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 49*h. Let u(p) = 10681*p - 6. Determine w(u(q)).\nAnswer: 523369*q - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 2*q - 123. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (90\/105)\/(270\/(-140)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 + 17. Let d = -4 + b. Let u = -1 + d. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 16 = -q. Let h be 3\/q + 26\/8. Let k be 46\/(-10) - h\/(-5). Which is the second biggest value?  (a) 1\/4  (b) k  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -81 + 262. Let x = 177.94 - y. Let t = -0.06 - x. Which is the closest to 2\/3?  (a) -0.5  (b) t  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44906\/3 - -14812. Let v = a - -157. What is the third biggest value in 0.2, v, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*z + 3939 = 0, 0 = 19*g - 14*g + 2*z - 19711. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes after 6:24 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 348*d**6 + 508*d**4 - 253*d**4 - 255*d**4 - 3*d**2 + 20 wrt d.\nAnswer: 41760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102101 - -12?\nAnswer: -102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w**2 + 0 + 0 + (2 - 2 - 2*w**2)*(-4 + 1 - 4))*(-5*w - w**2 + 5*w) in the form a*w**2 + j*w**4 + l + x*w**3 + h*w and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**3 - 6*z**3 + 2*z**3)*(4*z + 5*z - 3*z).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 4\/5  (b) 18  (c) 0.03  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -78448000 rounded to the nearest one hundred thousand?\nAnswer: -78400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 648188614 and 316.\nAnswer: 648188930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of m**6\/120 - m**5\/30 + m**4\/3 - 11*m**3\/6 - 36*m**2. Let b be t(2). What is the greatest common factor of 25 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t + 7. Calculate the smallest common multiple of u(-2) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m + 3 - 3 + 3*m - 2*m - 3*m - 7*m + 3*m + 2*m + (3 + 0 - 4)*(1 - 2*m - 1) - 2*m + 2*m - m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*3*(sqrt(1216) + 0 + -4)*-3)**2 + (-4 + (sqrt(1216) - sqrt(1216)*1*1)**2 - (sqrt(1216)*-1 + 4)**2*3).\nAnswer: -46464*sqrt(19) + 894428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 8*h - 5*h. Let o(t) = -t + 3. Let n be o(h). Let c = 673 - 671. Solve n = -2*l - 4*r - c, 6*r - r = 4*l - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by 17\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((12\/180)\/(1\/(-3))). What is the third smallest value in 1, r, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/2))**(-39)\/(((t\/(t\/((t\/(t**(-2\/7)\/t))\/t)))\/t)\/t)**(3\/7))\/((t\/t**(-2\/5))**(-46)*(t*t**(-1))**(-47)) assuming t is positive.\nAnswer: t**(41261\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m - m + 0*m - 2. Let g be s(6). Suppose 18*v**5 + 0*v**4 + 2*v**2 - 10*v**3 + 3*v**g + 3*v**4 = 0. Calculate v.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48 - 100 - 812*c**2 + 52 + 1387*c**2.\nAnswer: 575*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 467 or 466?\nAnswer: 466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -3\/4, -1, 5, 3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (0 + (-14 - -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 43*d**2 - 468*d + 2. Let p be u(-52). Solve -5*q + 2*a + 2*a = -16, -3*q - p*a + 14 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1107 - -767?\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 3507*z**2 + 2*z - 18. Let c(q) = 6151277*q**2 + 3509*q - 31581. Determine -2*c(w) + 3509*p(w).\nAnswer: 3509*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 11424, 11420, 11414, 11406, 11396, 11384?\n\"Answer: -t**2 - t + 11426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.36, 4, 0.5, -422, -29 in ascending order.\nAnswer: -422, -29, 0.36, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1027*z**3 + 760*z**2.\nAnswer: -6162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 204\/18*(-2)\/(1\/(-18)*(-59 + 65))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 2. Let f(a) = -a**2 - a - 2. Let m be f(-7). Let z = -45 - m. Let v(c) = c. Calculate z*o(t) - 2*v(t).\nAnswer: -t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -1533*v - 18331. Let t be s(-12). What is the greatest common divisor of 15587 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(22\/(-77) + (-13)\/28). Put 33, -3, z in ascending order.\nAnswer: -3, z, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51) - (sqrt(51) + sqrt(153)\/(sqrt(3)*2) + sqrt(51)))\/(-4*sqrt(3)*1 - sqrt(3)).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -ec5 (base 15) to base 8\nAnswer: -6407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 242474 (base 10) to base 2\nAnswer: 111011001100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 6  (b) -2\/13  (c) 0.3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 54193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 10. Suppose -4*q = 0, g - 13 = -3*r - 3*q. Suppose k = -3*i + 268, -i - r*k + 5*k = -87. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from bblbllbbbbbblb.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 31*n + 231. What is k(-5)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of -m**7\/35 - m**4\/4 + 23*m**2. Find the second derivative of z(a) wrt a.\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -133242 + 2?\nAnswer: -133240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*k**3 - 3*k**3 + 3*k**3)*(5476*k + 586*k + 2293*k) as n*k + c*k**3 + q + t*k**2 + p*k**4 and give p.\nAnswer: -16710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46197?\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*o + 2. Suppose 3*d + 7 = 1. Let f = 7 + d. Which is the biggest value?  (a) o  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*-6*10\/(-6). Let g = -57 + 47. Calculate the common denominator of j\/25 - 361\/g and -5\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001368421047 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 246*v - 197. What is q(1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 26*z**2. Let o(n) be the second derivative of -1\/3*n**3 + 0 + 32*n + 0*n**2. What is q(o(a))?\nAnswer: 104*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + 2*i**2 - 7*i + 1. Let j be m(-3). Let z(n) = 15*n + 4. Let k(v) = 7*v + 2. What is j*k(y) - 6*z(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32929 and 249028.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 4*j = -42 + 6, -15 = -2*v + j. Suppose -1 = -3*p - i, -3*i + v = 4*p - 5*i. Which is the closest to p?  (a) -0.2  (b) 0.1  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*h**3 - 12*h**3 + 105*h**2 - 106*h**2 - 28*h**3.\nAnswer: -58*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -544\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8\/33 + 4\/561. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/20 - 62\/(-56). Let c(w) = -2*w - 1. Let z be c(-3). Suppose 0 = z*b - 4*o + 20, 2*b + 4*o = 15 + 5. Is b > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80359 and 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.9842915kg?\nAnswer: 984.2915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 3*y**2 + 6*y. Let n(h) = -3*h**2 - 5*h. Give 4*l(c) + 5*n(c).\nAnswer: -3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1072*a**2 - 6928 + 3462 + 3465 to i + p*a**2 + w*a and give p.\nAnswer: -1072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 AM and 4:13 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 288 = -88. Suppose -n = -3*h + p, -20 = -2*h + 3*p + 18. What is the remainder when 61 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.43*-76650.\nAnswer: 32959.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 1, 2342 in decreasing order.\nAnswer: 2342, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from iiiqiqgiii?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 168771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19 + 27. Let x be ((-5)\/(-5))\/(0 + 1). Calculate the lowest common multiple of (x + 1)\/((-3)\/(-9)) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -34 - -43. Solve -3*t = -m + 5 + p, 4*m - 3*t - 29 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((174\/145)\/((39\/15)\/(-13)))\/((-2)\/12)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(128) - (sqrt(128) + -2))*-2)**2 + 3 - (-3 + (sqrt(128) + (-1*sqrt(128) + sqrt(128))*2)*4)**2.\nAnswer: -1990 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 4*n + 225 = 0, 0*n + 310 = 4*j - 2*n. Let p = 239 - j. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.64 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (3 + 3 + -3)) + (-1 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(0 + t**3 + 0)*(3*t + t - 2*t) + 3*t**4 + 2*t**4 - 6*t**4.\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164*w + 37829 + 58391 = 77*w + 891*w for w.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -183*l**2 + 88*l**2 + 48*l**2 + 54*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -1.4, 56, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12193.06 + -12089. Let q = 104 - w. What is the fourth smallest value in q, 2, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 80976 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w**2 + 6*w + 75. Let b(x) = -x**3 + x**2 + 2*x - 1. Calculate -2*b(s) + r(s).\nAnswer: 2*s**3 + 2*s + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5273420*u - 936260 wrt u?\nAnswer: 5273420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lg when two letters picked without replacement from nnxulngnuuunxggulun?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 12:22 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22889)\/13149)\/(1\/(-27))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 214*h - 21 = 217*h, -4*t + h = -28 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**2\/3 + 39367150*s\/3 - 13122383 = 0. Calculate s.\nAnswer: 1, 39367149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -808, -809, -810, -811, -812?\n\"Answer: -y - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 5*b - 29. Let s be h(16). Suppose -y = -3*g + 3, 4*g = -3*y + g + s. Is (-42)\/((y\/21)\/((-4)\/14)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 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: Is 724 a factor of 215059856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12452 and 16134396.\nAnswer: 177478356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3823842720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 divided by -169?\nAnswer: 49\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 220091 and 26416?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 43250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(5 + (2 + sqrt(208) + sqrt(208))**2 + (3*(-3 + sqrt(208)) - sqrt(208)) - -4*((sqrt(208) + -1 + 0 - sqrt(208)) + -5*(-2*sqrt(208) - sqrt(208)))**2).\nAnswer: -1128216 + 2640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 966.42709 - 1112.427197. Let d = 1.76 + 144.24. Let c = l + d. What is c rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -67.613 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6834980 and 10.\nAnswer: 6834980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = j + 2*a, 5*j - a - 12 - 4 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -3*c + 59, -4*c = 5*v - 67 + 5. What is the highest common factor of 15 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5971486 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -65, -154, -257, -380, -529?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 28 = a. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 3*r + 39, r + 4*s - 13 = -37. Let y = -7 - r. Suppose -45 = -3*a - 5*f, y*a = f + 3*f + 38. What is the least common multiple of 22 and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1206\/27 - 2\/3. 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: In base 13, what is -1380 - 193a?\nAnswer: -2cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 178109880 and 35621976.\nAnswer: 178109880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.6*-153\nAnswer: 91.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9918887 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 4 - -6 - 437\/(-38).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 504922555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.15 - -0.12. What is m rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-11 - -20 - 10) - (-4)\/5. Is b greater than -3053\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17321.28 litres to millilitres.\nAnswer: 17321280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 958229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7640 = -26*i + 18*i. Suppose 2475 + i = 7*t. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1111.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 69 = -38*w - 243 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -10*m + 112. Let u be w(11). What is the derivative of 21 - 4*y**2 + 3 + u*y**2 + 37*y wrt y?\nAnswer: -4*y + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 3*h - 11. Let t be l(5). Solve -t*b - 1 = -s - 6, -2*b + 2*s + 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.3, 0.1, 0.05, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1)*(32*r**3 - 54*r**3 + 23*r**3).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 1 - 6*d**2 - 3*d**2 + 8*d**2 + 2*d. Give m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of 5*x**3\/3 + 13*x**2\/2 + 2*x + 4. Let o(j) = -2*j**2 - 4*j - 1. Let s(l) = 3*k(l) + 8*o(l). Is s(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -329f (base 16) to base 10.\nAnswer: -12959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 2 - 7 + 9*m + 9*m - 20*m. Let d(p) = 1. What is 3*d(q) + j(q)?\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/71031 + -1916963\/31040547. Let y = l - -36865\/9614. Find the common denominator of y and 47\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269*p + 31722 = 49207 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -10*t - 84, 4*q - 120*t = -123*t - 28. Let o = -2\/37 + 47\/185. Which is the closest to q?  (a) o  (b) 4  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = 13*a + 5*a - 16*a - 0*a - 65, -a + 28 = -2*i for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 0*h - 2 - 17 = 3*h, -1322*h + 1319*h - 9 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((-4*(sqrt(50) + sqrt(150)\/sqrt(3)) - sqrt(50)) + sqrt(600)\/(sqrt(24)\/sqrt(2)))\/(-4*(-2*sqrt(1440) - sqrt(1440)))*1 + -2)**2.\nAnswer: 2*sqrt(5)\/9 + 1301\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7177 * 17.\nAnswer: 122009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 260217547?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.852 - 3.8?\nAnswer: -4.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*q**3 + 26*q**3 + 30*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 117847\/11640 - -1\/1455. Find the common denominator of -73\/8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*m**4 + 395 + 54 + 99*m**4 with respect to m.\nAnswer: 416*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = b + 18, 0*v + 5*b + 18 = v. Find the common denominator of v\/(-42)*126\/8 and 4\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - -0.15. Let u = v - -0.05. Let t = 27\/4 + -33\/4. Which is the nearest to u?  (a) 0  (b) 4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 - -19. Suppose -w - j = w. Let n(s) = s**2 + 4*s - 3. Let a be n(w). Let h(t) = t**2 - t + 1. Give h(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*g - 5*g - 156. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in sixty-five thirds of a century?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = 3*d - 100. Let n be (-2 - 3) + 2\/(-3)*69. Let j = n + d. Solve 4*h - 10 = m + j*m, 3*m + 6 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**3 + 2*g**3 + 0*g**3 + (-3*g + 3 - 3)*(-2 + g**2 + 2) - g**2 - 3 - 79*g**3 + 2 + 100*g**3.\nAnswer: 19*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.670433999 rounded to 2 decimal places?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -81, -81, -85, -93, -105, -121, -141?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 516336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(2*-1*1). Suppose k = 2*y - 6, y - 18 = -5*o - 0*y. Let m(q) = 3*q - q - 1 + 1 + 2. Let s(v) = 2*v + 2. Give o*s(c) - 4*m(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/6)\/((-4)\/(-84)). Let t(y) = 3*y**3 - 4*y**2 - 3. Let g be t(3). Suppose 2*b - g = -0*b. Calculate the greatest common factor of b and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9013172057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(1250) + -1*sqrt(1250)) + sqrt(1250) - sqrt(1250))\/(-4*(sqrt(810)*-1 - sqrt(810))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h - 7 + 6 + 13*h + 18*h**2 - 5*h + 18*h**2 to the form r*h**2 + v*h + a and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of -5*i**2\/2 - 23. Let d(f) = 8*f. What is d(h(q))?\nAnswer: -40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8c + -2?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 28 = 2*d, -d = -6*d - 5*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 54 + 45. Suppose -2*s - 3*v - 69 = -4*s, 2*s + 3*v - y = 0. Calculate the greatest common divisor of 12 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -8*p**3 + 14*p**2 - 8*p - 8. Let k(d) be the second derivative of -3\/20*d**5 + d - 1\/2*d**3 + 5\/12*d**4 - 3\/2*d**2 + 0. Calculate -14*k(s) + 5*x(s).\nAnswer: 2*s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 1.5. Sort -1, f, -1\/3 in descending order.\nAnswer: f, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 3 - (0 + 66\/30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 10:40 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + l = -20, -2*d + 2*l = d - 32. Suppose -10 = 3*u - d*u. Find the third derivative of -21*o**u - 10*o**5 + 29*o**2 + o**5 wrt o.\nAnswer: -540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -134 - -302. Calculate the highest common divisor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -14*((-3553)\/(-399) - 99\/11). Solve -1\/6*l**3 - 7\/2*l - h*l**2 - 3 = 0 for l.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (0 - 3) + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, y: 8, k: 1}. What is prob of sequence yqqy?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41317857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-118 + 48*a + 118)*(-2*a**3 + 0*a**3 + a**3) to w*a**3 + m*a**2 + j + f*a + z*a**4 and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 168*f = 163*f - 371, 4*k = 4*f + 364. Is 65 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 minus 11.92814228?\nAnswer: -12.01814228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157*s - 159*s + 448 = 0. Find the third derivative of -s*b - 32*b**3 - 227*b + 472*b - 2*b**2 wrt b.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 4:26 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 204*m**2 - 29327 + 14670 + 14677 in the form f*m + g + b*m**2 and give b.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 12*1.5\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 + 128 + 65 + 30 - 23)*(19*k - 7*k - 58*k).\nAnswer: -9476*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -82*m - 675*m - 416*m - 743*m to the form n*m + k and give n.\nAnswer: -1916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 2*d - 5*m, 2*d - m + 16 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19\/14 + -1\/42. Let y = 16.1 - 90.1. Let h = -69 - y. Which is the biggest value?  (a) -2\/7  (b) l  (c) h  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q + 17. Let b(k) = 3*k - 35. Give 3*b(r) + 7*d(r).\nAnswer: 2*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 20*s**2 - 14*s + 10. Let q(k) = 10*k**2 + 8*k - 4. Let x(r) = 2*i(r) + 5*q(r). Factor x(b).\nAnswer: 2*b*(b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5707.\nAnswer: 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3 - 3*s + 4*s - 7*s - 6*s**2 + 0*s - s**3. Determine c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4320 + 2350. Calculate the greatest common factor of 40 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 915770251.\nAnswer: 11, 83251841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6790 and 368.\nAnswer: 1249360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 646 and 10?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {s: 1, m: 1, r: 2, q: 5, y: 3}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 11*w - 1. Let z be c(-11). Calculate the remainder when z\/(4\/184*-2) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 4*y - 15 - 7 = 0, -4*y = 3*s - 23. Let j = 1 - 1. Sort j, 3, s in decreasing order.\nAnswer: 3, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8492984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-6)\/3*2\/(-75)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 2076  (b) -3\/5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100 (base 2) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lul when three letters picked without replacement from llullwuuelullwl.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7715 is divided by 166.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -10, -1, 4517, 5 in descending order.\nAnswer: 4517, 5, 4, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -94, -5, -73, 12, 2, 4.\nAnswer: -94, -73, -5, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14892 - 89273\/6. What is the common denominator of o and 113\/3954?\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 5*p**3 - 6*p**2 + 22*p - 6. Let w(c) = -11*c**3 + 13*c**2 - 44*c + 13. Determine 13*a(m) + 6*w(m).\nAnswer: -m**3 + 22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbpbbpbbpbbpbbppb. Give prob of picking 4 b.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -618*y - 207 = -641*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 301230916 divided by 731143.\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 185*s - 153*s - 64 = 0. What is the smallest value in 5, 6\/7, s, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30130221 (base 4) to base 9\nAnswer: -76840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of 0*h**2 + 3*h - 1\/6*h**4 + 0*h**3 - 2. Let x(o) be the first derivative of p(o). Let z(t) = 2*t. Give x(z(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 228519*t**2 - 148664*t wrt t?\nAnswer: 457038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 - s**2 - 2*s - 1. Let o(x) = x**3 - 10*x**2 - 10*x - 14. Let c be o(11). What are the prime factors of t(c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 221002002 (base 3) to base 9\nAnswer: 27062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, -0.5, 2, 94.\nAnswer: -3, -0.5, 2, 4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/3*u**2 + 688\/3 - 60*u = 0 for u.\nAnswer: 4, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/89)\/v**(1\/4))\/(v**(2\/99)*v**(-12)*v*v) assuming v is positive.\nAnswer: v**(343709\/35244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4553 is divided by 1503.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1243310043432 - -1?\nAnswer: 1243310043433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/72 in 4, 5, -15007, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.8 in -0.3, -2.9, -3\/7?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-10)*(1 + -12278). Let v = h + 1229. Let p = -3782755\/498828 + -2\/41569. What is the common denominator of v and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbnnbinnbbnnibnbnb. What is prob of picking 2 n, 1 b, and 1 i?\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 350, 278, 202, 122, 38, -50, -142?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.199 - -0.001. What is the closest to -1 in d, -1\/4, 1\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 438517543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 10*c + 31*c + 17*c + 0*c - 18*c.\nAnswer: 40*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -281*t = -300*t + 228. Solve -5 = -5*y + 3*p, t*y - 16*y = -5*p + 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 44 = 140. Suppose 3*z + r = 4*z. Let v be ((-12)\/(-8))\/(3\/z). Solve 3*y = -y + v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 223 + -156. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2338 + -1178. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus 30793.795261?\nAnswer: -30793.295261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 7:43 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/5535 and 4\/153.\nAnswer: 94095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -929*d**5 - 3092*d**5 - 3*d + 1262*d**5 - 190 + 4*d + 16 wrt d?\nAnswer: -55180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (5223 - 5)*10\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137*i**3 - 272*i**3 + 111*i**3 + 122*i**3.\nAnswer: 98*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 5*l**2 + 2*l - 2. Let c be x(-4). Let t = 20 + -16. Suppose v - 1720 = -2*z + c*v, -2*z = -t*v - 1716. Round z to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 341608?\nAnswer: 2, 42701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, x: 1, a: 1, d: 2}. What is prob of sequence zazd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2544, -5087, -7630?\nAnswer: -10173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - 2530\/(-207) - (-58)\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 88 - af7d?\nAnswer: -aef5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 12*r + 1. Let c be b(-11). Let o be c\/(-10) - (0 + 1). Suppose -y + 2*y + f = 11, -y + 4*f + 21 = o. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*u**3 - 2*u + 2*u**2 + 0*u**2 + 9*u**4 + u + 6*u**3 - 1 in the form w + n*u + z*u**4 + y*u**2 + r*u**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.00966 and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5, -6, -27, -64, -123, -210, -331, -492?\n\"Answer: -w**3 + w**2 - 7*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 193, 673, 1469, 2581, 4009?\n\"Answer: 158*f**2 + 6*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/((6\/(-38))\/(-3)). Let v(c) = -c**2 + 12*c + 3. Let d be v(12). Suppose -d*l - 2*l = -95. What is the greatest common divisor of l and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.1, 0.0126, 0.3, 40, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 2*m - 16, -4*z = -5*z + m + 2. Solve 3 = -2*t - z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -15926 and 3.\nAnswer: -15923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*-1 - (-2 - 0). Suppose -3*j = -d - 6. Suppose 0 = 3*z + 4*h - 78, -3*h = j*z - 2*h - 47. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggog when four letters picked without replacement from {o: 14, g: 4}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1208, -2, 3, 2\/3, 9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 2*r + 10. Let b = -8 + r. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0353 - 0.2353. What is the second biggest value in 0.3, o, -1.8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -845*s**3 + 330655*s**2 - 101680*s + 7820.\nAnswer: -5*(s - 391)*(13*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 15*n + 10. Let k(u) = -5 + 14*u + 1 + 4 - 12*u + 1. Let s(r) = -6*k(r) + w(r). Determine s(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-84)\/9 - (-460)\/12\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -391*u. Let h(j) = -19963*j. Give h(r(z)).\nAnswer: 7805533*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 1516*q - 1774*q + 807*q in the form t*q + j and give t.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 264970\nAnswer: 26497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1133\/6 - 164. Let m = 769 + -6123\/8. What is the common denominator of m and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 30*z - 13. Is r(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -68554 and -68555 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(-7) - (-213 + 212)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b37a8 (base 12) to base 6.\nAnswer: 23405132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15\/(-10)*(-1 + 19\/15). What is the closest to -0.06 in -1, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.5 + -6.5. Let q be ((-5)\/(-35) - 0) + (-226)\/14. Let m be (-2)\/8 + (-8)\/(6*q). Which is the closest to n?  (a) m  (b) 2\/3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 - (-118 + 87 + (-6 - 1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-2))\/(2\/4) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 56075121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*-12*6\/(-8). Suppose 4*o - 88 = z, -13 = -2*o - 5*z + v. Is 13 a factor of (-1382)\/(-14) + 1 + 6\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 4, -3, -12, -23, -36?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/5)*n**(-1)\/n)**28*n*n**(-1\/5)*n*n**(-6)*n*n**1*n**3 assuming n is positive.\nAnswer: n**(-332\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28702*m**3 - 62*m - 66*m - 85931*m**3 + 128*m + 28684*m**3 + 28641*m**3.\nAnswer: 96*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2*h + 2 - 5)*(2 + 0 - 1)*((-5 + 2 + 5)*(-8 - 3 - 34) + 9 - 2 + 0)*(h - 5*h + 3*h) to the form a + r*h + b*h**2 and give r.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -60*n**3 + 6*n**2 + 12*n + 5. Give d(-1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffsssseessm. What is prob of sequence sssm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -161.9 + 162. What is the fourth biggest value in -4, b, 0.22, 1\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 364836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 467.1 - 467. What is the closest to u in -0.2, -4, 8\/5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12519 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*g - 3*y - 561 = 33*g, -9*g = -5*y - 1007. What is the lowest common multiple of g and 243?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-4) + (-8)\/(-16). Let l be (1 + -1 - 2) + 7. Suppose -l = -x*w + 1. What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**2 - 3*d + 2. Let j = -12 - -15. Let c = -33 + 61. Calculate the smallest common multiple of h(j) and c.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d - 11. Let c be m(-13). Suppose -2 = -c*s + 2. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 427 and 610.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -2*z + 85968, -2*z = -r - 113101 + 27108. Suppose -q = 2*x + 85998, -x = -2*x - 3*q - z. Round x to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -157*j**2 + 8 + 3*j - 39 + 149*j**2 in the form q + s*j**2 + n*j and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -119, -109, -91, -65, -31, 11?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46*-4.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 15 + 30. Let h(g) = -g**3 - 10*g**2. Let w(c) = c**3 + 9*c**2. Determine p*h(i) - 4*w(i).\nAnswer: -i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22.4 - 27.4. Which is the nearest to -0.1?  (a) 6  (b) -2\/5  (c) -1\/4  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 12:28 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -69210 - -76850.4. Round r to the nearest 100.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from orrwzrrlooorlroor. Give prob of picking 1 w and 1 r.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.75119 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -10*v - o + 6*o + 1, v - 2*o - 231 + 202 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-10) - 8\/(-40). Suppose 0 = 3*q - p - 6. Suppose 2*l - 72 = -q*l. What is the greatest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/120480 and 49\/4976.\nAnswer: 37469280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = 4*c + 20, 14*l = 9*l - c - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 364.4629 litres?\nAnswer: 364462.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 2. Is 253\/(l + (2 - 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1704146224 to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 - 8*q - 3. Let u be c(-7). Let r(p) = -p**3 + 8*p**2 - 10*p. Let k be r(u). Let z(s) = 35*s - 60*s + k*s + 11. Give z(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -4\/21  (c) -1  (d) 280  (e) 4  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(108) + sqrt(108) + -1 + sqrt(108))*3 - (sqrt(108) + -3*(sqrt(108) + 2 + sqrt(108)) + 5))*2)**2.\nAnswer: -48144*sqrt(3) + 1504948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 688 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -86780, 1\/3.\nAnswer: -86780, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**4\/5 - 32582*m**3\/5 - 177780792*m**2\/5 - 329470682912*m\/5 - 24934640323712\/5 = 0 for m.\nAnswer: -5404, -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-21) + 248\/(-14). Let c be (-12)\/(-4)*y\/(-27). Solve l - 4*k = 15, 2*l = -l + c*k + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.5*13279.\nAnswer: 46476.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 8*i - 380. Let b be h(47). Let j(r) = 5*r**2 + r - 6. Let v(f) = 14*f**2 + 2*f - 17. What is b*v(y) + 11*j(y)?\nAnswer: -y**2 + 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 - 2*p + 2. Let m be a(0). Let n(h) = 3*h**2 - 10*h - 10. Let r(i) = 2*i**2 - 7*i - 7. Let f(z) = 5*n(z) - 7*r(z). Give f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 3*p - 26, -5*s + 6*s = 5*p + 14. Suppose -2*n + 4*k - s = k, 4*n + k - 20 = 0. Solve -y = n*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 187 + 152 = 5*c + 299 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**2 + 0*l + 0*l)*(2*l**3 - l + 0*l + l**3).\nAnswer: -3*l**5 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1100611859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 225 and 255630?\nAnswer: 3834450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 168299671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -81 - -252. Suppose -17*m = -14*m - a. Suppose 4*w = 59 + m. Calculate the remainder when w is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6\/5, -7, 4, -0.2, -1\/33, 0.4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s + 510 = 5*j + 5*s, -4*s = -3*j + 308. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of 5\/3*k**3 + 10 + 2*k + 1\/4*k**4 + 1\/2*k**2. Give s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(4\/40*2 + 0). Let s = 0 + -1. Let t be 1\/3*(s + -2). Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of 14*p**3 + 10 - 2*p + 13*p**3 - 66 - 13*p**3. Let v(w) = -2*w. Calculate v(k(o)).\nAnswer: -84*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -6. Let r = 0 - l. Which is the closest to -2\/5?  (a) 4  (b) r  (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n + 3. Let c be h(-6). Let u(q) = 5*q - 43. Let m be u(c). Solve 2*a - 4 = s, 3*a - 4*s - m - 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 485*g + 3893. Determine d(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15 and 39687915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 904?\nAnswer: -1\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2217 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/15)\/(3\/105). Which is smaller: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 35 + -1226602545?\nAnswer: -1226602510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2930 and 200?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 328 + -334. Let k(q) = -q**2 - 6*q - 2. Give k(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, m: 3, s: 4}. Give prob of sequence ssqq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 189752.4  (c) 0.4  (d) -58  (e) 3  (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(135)\/sqrt(5))*-6.\nAnswer: -18*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of 7*a**2\/2 - 8*a + 9146. Determine i(15).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4256 - -4251. Which is the closest to 1?  (a) 0.32  (b) 3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 573128*h**5*j**2 + h**4*j + 569*h**2*j**2 + h**2*j + 3*h**2 + h*j**2 + 14*j**2 wrt h.\nAnswer: 34387680*h**2*j**2 + 24*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 19 = 3*g, -6*q + 7912 = -4*g + 7950 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 67 + -43. Factor -17 - 4*q**2 - 10 - v*q + q**2 + 6*q.\nAnswer: -3*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/18 and 143\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/7, 29\/487, 3 in increasing order.\nAnswer: 29\/487, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaqqrqarqrq. Give prob of picking 1 r, 1 a, and 1 q.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 416693572 and -0.01?\nAnswer: 416693572.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56924 and 10444?\nAnswer: 21232652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -68 - -101. Let w = 682.95 - 683.05. Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 156988840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of -2*l**3\/3 + 3. Let a be 4 + 2*1\/2. Let z(d) = d - a*d + 8*d. Give z(r(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97 - 32 = 114*a + 99 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.95264697 to 4 decimal places.\nAnswer: -0.9526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 382, 3055, 10312, 24445, 47746, 82507, 131020, 195577?\nAnswer: 278470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129457059480*r - 129457059480*r - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-3 + -6 + 10 + 7 + -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 214962.322 rounded to the nearest 100?\nAnswer: 215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 66588 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - 4.9. Let s = -0.18 + 8.18. Let p = 8 - s. Which is the third biggest value?  (a) t  (b) 1\/8  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*u**3 - 1158925*u**2 - 20859435*u - 93865635 = 0. What is u?\nAnswer: -231767, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -42204 (base 7) in base 12?\nAnswer: -6020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -12\/84257315 and -5\/9.\nAnswer: 758315835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41\/35 + -11\/7. Sort -0.3, d, -1\/2, 0.4 in increasing order.\nAnswer: -1\/2, d, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17129355, -17129357, -17129359?\nAnswer: -17129361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 101823152 divided by -1669232?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 7*o**2 - 2*o - 16. Calculate l(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1741, 1719, 1693, 1663, 1629, 1591?\n\"Answer: -2*g**2 - 16*g + 1759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 812\/28 - (1 + -2*2). Suppose 0 = -5*n - p + 42. Solve 4*a = 2*r + n*r - 8, -r + 5*a + 14 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + -6. Let r = v - -3.6. Let f = 260\/7 + -37. What is the third smallest value in 1, r, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 130.2045622 and 1.13?\nAnswer: 129.0745622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5550)\/(-550) + (-1)\/11. Solve -11*j + v = -6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 7*h**2 - 19*h + 5. Let l = -263 - -266. Suppose 2*p - p = 7. What is the least common multiple of q(l) and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/27)*f**(4\/9))**(-12)\/((f\/f**2)**31*(f**2*f*f)**(-41)) assuming f is positive.\nAnswer: f**(1699\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 169952761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h. Let k = 0 - -4. Let j be ((-33)\/6)\/(k\/(-8)). Let n(b) = 11*b - 2*b**2 - j*b. Calculate y(n(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 180337 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 + 63. Suppose -12300 + m = -9*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 4. Let q = 115 - 94. Let p(j) = -23 + 43 - q - 5*j. Calculate p(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*b**3 - 55*b**2\/4 + 13*b\/4 + 3\/2.\nAnswer: (b - 1)*(4*b - 3)*(9*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2394755?\nAnswer: 5, 11, 43541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -l + 24. Solve 3*j = -w - 14, 7*w - l*w - 12 = -j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4492\/20 - 2) + (-8)\/(-20). Let k = f - 11374\/51. What is the common denominator of k and 17\/15?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 164.7 - 7.7. Let z = 161 - r. Put 5\/2, 0.03, z in descending order.\nAnswer: z, 5\/2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 8, -3, 0, 11, -4 in increasing order.\nAnswer: -4, -3, 0, 8, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeevvvvv. Give prob of picking 3 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9685, 17507, 21587, 20053, 11033, -7345, -36953?\n\"Answer: -312*x**3 + x**2 + 10003*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -3*c + 33, 32 + 12 = 4*c - 3*z. Let r = 13 - c. Let q = r - 0. Solve 3*o + 12 = q*d - 7*d, -3*d - 5*o - 20 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 600271e - 4?\nAnswer: 600271a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 4. Let x be 40\/(-6)*(0 + -9). Suppose p - 6*p = -3*d + 17, -5*d + x = -2*p. Solve 2*y = 3*j + g*y + d, 0 = -3*j + 2*y + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = -5, -14 - 15 = -5*c + 4*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*n = -42. Let g = 23 - n. Let h be -2 + (1 - -1 - 0). Is g greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4171 and 25990318?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 - 16*p - 9. Determine n(-17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + g = 10. Let x be (g - 0) + -1 + 4. Solve m = -2 + x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16235620 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -4522.498012 to 1 decimal place.\nAnswer: -4522.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 9\/12)\/(-33 + 13 + 21)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2*3\/(-75))\/(16\/80). Which is the nearest to q?  (a) -2\/21  (b) -1\/7  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/10)\/(1\/(-5)). Suppose h*r - 4*r = 0. Suppose r = -2*f - 0 + 2. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9\/(((-288)\/(-216))\/(-1 + 494\/6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 56043610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*(-2 - (-2)\/2). Find the third derivative of -2*f**3 - 4 + c*f**2 - 25*f + 43*f + f**3 - 18*f + f**4 wrt f.\nAnswer: 24*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 80784 - 43163. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 PM and 5:00 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4611 = -16*b + 7725. Suppose 2*p - 600 = 4*r, 5*r = -4*p + b + 481. What are the prime factors of p?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -209, -193, -171, -143, -109, -69?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-3 + sqrt(39)\/sqrt(3)))**2 + (sqrt(39)\/(sqrt(18)\/sqrt(6)) + -1)**2.\nAnswer: -56*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.2 or -39?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 1494400.\nAnswer: 1494400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.2292 times -0.069269\nAnswer: -0.0158764548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*h + 59*h + 28 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 571231, 0.2 in increasing order.\nAnswer: -0.4, 0.2, 571231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, 159, 3718, 3\/10?\nAnswer: 3718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 28780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12734636 by 38.\nAnswer: -335122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 338.267 - -0.733. Let x = m + -316.7. What is x rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-11 - 0\/14) + -12. Let v(p) = p**3 + 22*p**2 - 22*p + 28. Calculate v(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/2  (b) 3  (c) 0  (d) 1\/3  (e) 4  (f) 31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 319 is divided by 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -141876, -284123, -426370?\nAnswer: -568617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10095 + 6915074\/685. Suppose 0*i + 2 = -4*p + 2*i, -3*p - 3*i + 12 = 0. Is p not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of v**7\/4200 + v**6\/1800 - v**5\/600 - v**4\/120 + 19*v**3\/6 - 19*v**2. Let x(z) be the first derivative of s(z). Factor x(o).\nAnswer: (o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**4\/3 + 84*l**3 + 2238*l**2 + 41608*l\/3 - 16192 = 0. What is l?\nAnswer: -92, -24, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 27. Let v(l) = 49*l + 5. Let i(o) = -1. Let y(b) = -i(b) - v(b). Let t be y(-3). Calculate the highest common divisor of t and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/8)\/(12\/8)*2. Let a be (-1 - -2)\/(j\/5). Are 2\/25 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -1178*p. Let l(t) = -12024*t**2 - 14. Determine r(l(j)).\nAnswer: 14164272*j**2 + 16492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -7, 2\/5, -4, 0.13, -0.2, 29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 23 - c + 24*c**2 - 25*c**2 + 17. Does 8 divide x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.23, 3, 0, -0.5 in descending order.\nAnswer: 3, 0, -0.23, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -k**4\/6 - k**3\/3 + 2*k**2 + k + 2. Let z(r) be the first derivative of w(r). Suppose -3 = -7*h - 24. Determine z(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 + 8*y**2 + 5*y - 9. Give p(6).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 15 = -y - 2*k, -2*y + 30 = k. Calculate the lowest common multiple of y and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 95896 and 464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**19*b)\/(b\/b**(-2\/17)))**(-8\/9) assuming b is positive.\nAnswer: b**(-856\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/5070 and 53\/2695.\nAnswer: 2732730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 104, 3, -1 in descending order.\nAnswer: 104, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1946)\/35)\/(6\/15). Is -140 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110615 is divided by 349.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 46 + 58 = 0. Put 1, -4, k, 3 in decreasing order.\nAnswer: 3, k, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 4  (b) -4  (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 25*x**2 + 139*x + 4679. Calculate d(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 133*g + 445. What is the remainder when 47 is divided by u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 1180001*g + 2. Let a be s(-2). Round a to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -d80e (base 16) in base 14?\nAnswer: -1622a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6617.1 hours to milliseconds.\nAnswer: 23821560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 t when three letters picked without replacement from tfttvftfttvfxtfvtf?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17213 and 378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = j - 8. Let s be 16\/(-6)*(-1)\/(-36). Is s at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qzqy when four letters picked without replacement from {z: 2, m: 1, g: 1, w: 1, y: 2, q: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 - 12*i**2 - 15*i + 19. Give x(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 32 - 112?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -100632 to the nearest 1000.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**3\/7 - 39*a**2\/7 + 120*a\/7 + 300.\nAnswer: -3*(a - 7)*(a + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(2 + -3)*-5. Solve 0*w - 4*d + 32 = o*w, 6 = 2*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {l: 1, j: 1, y: 5, z: 1, n: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 8. Let l be (1 - -4)*(i - -4). Let g(o) = -o**3 - 5*o**2 - 3*o + 3. Is 18 a factor of g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 63*h - 242*h + 179. Let l = -7.7 + 8. What is the nearest to 4 in -1\/2, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 507 is divided by 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of -c**4\/4 + 907*c. Let s(z) = -22*z. Give o(s(d)).\nAnswer: -1452*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3 = 4*w + w, 2*m = -5*w + 9. Solve m*i + 9 = 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(153)\/(4*(sqrt(9) + sqrt(27)\/sqrt(3)) - sqrt(9)))**2.\nAnswer: 272\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 248700 rounded to the nearest one thousand?\nAnswer: 249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 62 and -0.5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 5:09 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 408000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -49747 to the nearest one hundred.\nAnswer: -49700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 291 + -2329\/8. Put 0.4, r, -61 in descending order.\nAnswer: 0.4, r, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3972, -3965, -3958?\nAnswer: -3951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.8 in -4, 0.5, -37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-186)\/24 - -5 - 123\/(-36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k**2 - 2*k + 264. List the prime factors of b(0).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/35 - 369\/(-7). Suppose 0 = -5*u + 3*d + 63, 0*u = -4*u + 5*d + g. Calculate the greatest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5975 - -242.\nAnswer: 6217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 17087556 to the power of 1\/2, to the nearest integer?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/15 + 58*z\/15 - 36\/5.\nAnswer: -2*(z - 27)*(z - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1309, -2856, -4415, -5992, -7593, -9224?\nAnswer: -10891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21329 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -113, 4, -2 in ascending order.\nAnswer: -113, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 184*s. Let l(k) = 58*k - 205. Give l(x(q)).\nAnswer: 10672*q - 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-542.\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 378 + -270. Let l = p - 77. Let y = l + -20. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 3:50 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1525 smaller than 1524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/(-2)*(-522)\/27. Let u = 34 + n. Let d(y) = 8*y - 18. List the prime factors of d(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 - 24*j**2 + 112*j - 2. Let z be b(-28). Put -2\/5, z, -23 in increasing order.\nAnswer: -23, z, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 47\/((5 - 2)\/3). Suppose -5*t - i = 33. List the prime factors of 90\/4 + (-8)\/t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11100100111101000 (base 2) to base 12.\nAnswer: -57a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**3 + 21936*s**2 - 82*s - 21921*s**2 + 232*s.\nAnswer: -3*s*(s - 10)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -417*b - 408*b + 826*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 12, -v - 4*u = -6*v + 991. Let f = 386 - v. What are the prime factors of f?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of -2*d**5\/15 - 5*d**4\/6 - 14*d**3\/9 - d**2 + 13. Factor q(o).\nAnswer: -2*o*(o + 1)**2*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 + 10 - (1 + -2))\/(-1) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -649*s**3 + s**2. What is the tens digit of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/i**16*i)*i**(1\/2))**(1\/67)*((((i**(-4\/3)\/i)\/i)\/i)**(-14\/5))**(-3\/11) assuming i is positive.\nAnswer: i**(-22683\/7370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.80950114 and -6.683.\nAnswer: -8.49250114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -2*k - 23, -4*a + 29*k = 35*k + 34. Factor -8\/5*y**3 + 0*y + 0 + 0*y**2 - 2\/5*y**a + 8\/5*y**4.\nAnswer: -2*y**3*(y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/(-30)*(-9 + 0). Suppose -h*o + 194 = 38. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1211 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a8 + 38153?\nAnswer: 3823b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of -b**5\/12 + b**4\/24 + b**3\/6 - b**2. Let o(n) = 6*n**2 - 2*n - 2. Suppose -5*w - w + 18 = 0. Determine w*o(u) + 4*a(u).\nAnswer: -2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.8 + 4. Sort 5, 4, 1\/2, i in decreasing order.\nAnswer: 5, 4, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*a + 78 = -160 - 210 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/2*0)\/(-1). Let a be (1 - -2) + -4 - (-7 + c). Does 2 divide (-3)\/a + (-22)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/((-70)\/63)*(-308)\/(-2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1196 + -6033\/5. Let v be (-3454)\/8 + -2 - 2. Let b = v - -439. Calculate the common denominator of x and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 766 and 17000604?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2454251.\nAnswer: 2454251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1076017 to the nearest ten thousand.\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132105?\nAnswer: 3, 5, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.1 + -0.1. Are g and 2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 231 = -j, 6 + 3 = 3*j. What is the remainder when 232 is divided by d?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 p, and 1 r when three letters picked without replacement from {p: 3, a: 3, x: 6, r: 1}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r - 28 = -4*s, 4170 = 4*s - 3*r + 4162 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -543, -0.2626?\nAnswer: -0.2626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -5  (b) 3\/16  (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -5*u - 2*o, 0 = -156*u + 159*u + o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 PM and 3:45 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = x - 0*a, -x - 5*a - 3 = 0. Let n = 235 - 130. Suppose -3*b + n = x*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 8*u**2 + 6*u - 8. Determine n(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k**3 - 26*k**2 + 4*k - 30. Determine o(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30652\/3 - 10217. Is h not equal to -3.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 28*w - 1634 = 0. What is the highest common divisor of 903 and w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*w + 248 = 22*w. Let b = w + 127. What is the highest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330 = 89*o - 115. Sort -1, -797, o.\nAnswer: -797, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 9, k: 4, u: 1}. What is prob of picking 1 n and 2 k?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + 3)*(-18)\/4. Let x = s + 23. Is 2\/7 + 486\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1328, -11074, -37812, -90038, -176248, -304938?\nAnswer: -484604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 54653482 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 383808*h**4 + h**2 - 61513 wrt h.\nAnswer: 9211392*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*v + 2*v - 4*v**2 - v + 2*v wrt v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3684, -7322, -10918, -14472, -17984, -21454?\n\"Answer: 21*z**2 - 3701*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8652379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from wjjjjwjwwwwwwwwjjjj?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 835 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 21623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.8 and -208618.\nAnswer: 166894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10 + -6 - (-8)\/15*-6. Let q(y) be the first derivative of 6 + 0*y**4 - 3\/2*y**2 + 0*y**3 + 0*y - b*y**5. Find the second derivative of q(a) wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - o. Let g(k) be the third derivative of -k**6\/120 - k**5\/60 + 3*k**3\/2 - 2*k**2. Calculate the remainder when 26 is divided by g(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x**5\/3 + 229*x**4\/3 - 4843*x**3\/3 - 17399*x**2 - 15708*x = 0. What is x?\nAnswer: -7, -1, 0, 33, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -38*t*w**2 + 379*t*w - 11*t + 608 with respect to w.\nAnswer: -76*t*w + 379*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 50*t + 80*t**4 + 1 - 123*t - 79*t**4 in the form d*t**3 + a*t + o*t**2 + l*t**4 + n and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -102 - -102. Solve -g - 2*n = -6*g + 8, y = -2*g + 5*n + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4764.842 millilitres to litres.\nAnswer: 4.764842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51 - 49. Let z be (-12)\/(-4) + 0 + x. Put z, 2, -1, 1 in descending order.\nAnswer: z, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 29 + 49 - -1*3. What is the highest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2711 divided by -2711?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/51)\/((-2)\/(-4)). Let l(b) = b**3 + 6*b**2 - b - 7. Let d be ((-3)\/(-2))\/((-11)\/44). Let v be l(d). What is the nearest to -1 in -2, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3615 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 the nearest to -0.2?  (a) -1940  (b) 0  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 111\/148*(-8)\/(-6)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 13) + 2 + -13 + 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 8*w. Suppose 3*l - 3*z - 39 = w, -3*l + 39 - 2 = -4*z. Solve l + 0 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c*d*h**3*k - c*d - 2*c*h**3 + c*h**2 - 3*d*h**3*k + d*h**3 + 2*d*h**2*k with respect to c.\nAnswer: 2*d*h**3*k - d - 2*h**3 + h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 4*h**2 + 7*h - 5. Let x be m(5). Let o = 23\/44 + -3\/11. Which is the third smallest value?  (a) o  (b) x  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31 - -30.89. Let q = m - -0.14. Let l = -19.13 + q. What is l rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1420 - w**3 + 1420 - w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 11. Let n = j - 3. Let k = n - 8. Sort 3, k, -1.\nAnswer: k, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2\/19  (b) -20  (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 518 + -518.008191. Round x to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83821, -335303, -754455, -1341289, -2095817?\nAnswer: -3018051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 9:53 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4 = w. Suppose 0 = 2*l - 2*f + 46006, -5*l - w*f + f - 114997 = 0. What is l rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26 + -16. What is the common denominator of (-46)\/20 - (-4)\/r and -7 + (-172)\/(-24) - 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 644 is divided by 219.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -11*v - 37. Let g be r(13). Let b be (-1204)\/(-30) + 24\/g. Let p be 13\/(-1 + (-8)\/(-6)). Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -472163 or -373?\nAnswer: -472163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*v - 2. Let n(u) = -17*u - u**v + 9*u + 6 - 4. Let a be n(-8). Sort a, 0, 4, -4 in descending order.\nAnswer: 4, a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 468 - 462. Solve 13 = -g*z - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2984481 rounded to 4 dps?\nAnswer: -0.2984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (59 - 42 + 104 + 26)*(-3*d + d**3 + 3*d) in the form a*d**3 + o + y*d**2 + l*d and give a.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -747525, -747530, -747535, -747540, -747545?\n\"Answer: -5*i - 747520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000293 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -684 - -686. Determine v so that -1\/2*v**j - 7\/6*v - 1\/3 = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((5*(sqrt(144) - (sqrt(144)*1 - sqrt(144))) - sqrt(144))\/(-4*(sqrt(36)\/sqrt(3) - sqrt(12)) - sqrt(12)))\/(2*4*sqrt(4)*-3*1))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 52?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 11546*g**2 + 0 - 11547*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -713, -235, 629, 1879, 3515, 5537, 7945?\nAnswer: 10739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 423943.\nAnswer: 13, 32611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-9) + (-48)\/(-108))*4\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69624282.\nAnswer: 2, 3, 7, 13, 17, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 54\/4954645 and -77\/40?\nAnswer: 39637160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = -4*d + 20, 5*d - 3*p - 18 = -9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/4152 and 65\/463068?\nAnswer: 160221528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 486 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 624 divided by -13.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 14*d - 32. Let t be (d\/(-48))\/(21\/394). Let h = -32\/9 - t. Which is the nearest to 1?  (a) h  (b) -2\/3  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 + 9*o + 7. Let b(u) = -6*u**2 + 46*u + 39. Let a(x) = -2*b(x) + 11*i(x). Determine a(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 186944 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 PM and 1:15 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21152410 (base 6) to base 9.\nAnswer: -1146316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2748*d**2 + 23*d + 9. Let h(q) = -5497*q**2 + 39*q + 15. Determine -5*a(r) + 3*h(r).\nAnswer: -2751*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/218482 and -85\/834204?\nAnswer: 9176244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24*n - 8*n + 6*n)*(2*n - 3*n + 2*n)*(-1 + 1 - 1) to g*n + y + u*n**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 715466?\nAnswer: 2, 357733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, -13, -3001, -5, 13 in ascending order.\nAnswer: -3001, -13, -5, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 4*w**3 - 4*w**2 + w + 3. Is h(3) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 15*c**2 + 17*c - 11. Let l be t(16). Suppose 1 + 9 = l*v. Suppose 2*h - v*p = 134, -47 - 87 = -2*h - 3*p. List the prime factors of h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 77 - 71. Calculate the lowest common multiple of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4443 + 4464 - 8904 + 776*m - 3*m**2 as p + g*m + b*m**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 1:35 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 5*v**2. Let u(h) = 11*h - 66. Let p(w) = 5*w - 21. Let l(j) = 5*p(j) - 2*u(j). Give k(l(t)).\nAnswer: 45*t**2 + 810*t + 3645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45538.9024 + 45437. Let t = k + 102. Round t to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 22*l**2 + 19*l - 39. Let x be v(-21). Does 20 divide 1802\/x - (-10)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-48)\/140 - (-6)\/42\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19179 + -18142. Calculate the remainder when g is divided by 282.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116 = -4*y - 3*i + 65, -19 = y + 2*i. Let t(o) = -17*o - 156. What is t(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3*z**3 + 5*z**2 - 7*z + 8. Determine m(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 PM and 10:57 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -v - 5, 3*i - 4*v = -v + 9. Solve -8 = -3*a + 5*m, -4*a - 4 = -5*a + i*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -4. Let y be (-75)\/(-69) - 2\/w. Let n = -30 + 30. Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-7)*(-1351)\/2316)\/((-1)\/(-10)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2885152 to the power of 1\/2, to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2058 + -3231. Let g = 1664 + j. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 175 and 4025?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29039 is divided by 4143?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 91018 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 374 + -367. Let -a*d**3 - 50 - 50 + 2*d**3 + 105*d = 0. Calculate d.\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a century in months?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/19018250 and -119\/15214600.\nAnswer: 76073000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -g**4\/4 - 5*g**3\/3 + 7*g**2\/2 - 7. Give j(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.539114307 to 2 dps.\nAnswer: -2.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1584 divided by 99?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/((-11)\/((-25971)\/6)).\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m - 2*y - 7322 + 7250, 5*m - 3*y - 86 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((-4 + 3)*(0 - (-7 + 8))). Let s(o) = 5*o**2 - o + 1. What is s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (1 - (5 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 630505 - -4?\nAnswer: 630512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-20) - (-66)\/(-10) - (-14)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(5\/3))**(-45)\/(y**(-1\/9)*y\/(y*(y**(-14)\/y)\/y)) assuming y is positive.\nAnswer: y**(-818\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11579 is divided by 149?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -10*p - 2. Suppose 3*c + 10 - 1 = 0. What are the prime factors of i(c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/10)\/((-2)\/(-40)). Let q(w) = -w**2 + 18*w - 66. Let r be q(11). Suppose 2*s - 2*m - 248 = 0, -r*m = -5*s - k*m + 630. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -13 - (-89373 - (-28 - -26))?\nAnswer: 2, 3, 53, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r = -2383 - 2009. What are the prime factors of r?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 236\/((4895\/(-890))\/((-44)\/32)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29979, 28419, 26859?\nAnswer: 25299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2d77c1 (base 15) in base 4?\nAnswer: 20121222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-8))\/(6\/(-3)*84\/(-48))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**4 + 2*y**3 - y**3 + 5*y**3 + 6*y + 2*y + 4*y as j*y**4 + q*y + k*y**2 + z*y**3 + c and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + -14 - 12 - (-2 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 225392610 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-18 + 17 + -1)*-5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from jjjjjjjjjrjuj.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21 + 144*k - 6 + 8*k**3 - 66*k**2 - 47.\nAnswer: 2*(k - 4)**2*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -250934.3 take away 688.93618?\nAnswer: -251623.23618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 7*h + 19. Suppose -10*a = -12*a - 18. Let s be u(a). Is s at most as big as -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 3*n - 24 = n, -2*n = -10. Calculate the highest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 400, 4020, 10056, 18514, 29400?\nAnswer: 42720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -117.9 + 112.9. Let h = 5.45 - 0.45. Let s = 0.2 - 0.5. What is the nearest to -0.2 in h, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/717060 and -47\/42?\nAnswer: 5019420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -17. Let j(y) = -25*y - 1433. Let z be j(-58). Calculate the greatest common factor of b and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 633*s**2 - 23*s**6 + 19*s**6 - 6*s**6 - 15*s**4 + 80*s**2 - 18*s**4 wrt s.\nAnswer: -1200*s**3 - 792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 46*k**3 - 99*k**2 + 36*k - 7. Let n(j) = 33*j**3 - 66*j**2 + 24*j - 5. Calculate -7*n(u) + 5*p(u).\nAnswer: -u**3 - 33*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1105481 at most -1105482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1)**(-1\/12)*((g\/(g**(-1)\/g)*g)\/g)**4*((g*g**10)\/g*g*g**(-5))**(-1) assuming g is positive.\nAnswer: g**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.04  (b) 0.1  (c) 2\/7  (d) -1\/58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/45)\/((-4)\/48).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -2*p + 8, -2*p - 4*m = -6*m - 8. Let v(g) = -g**3 + 6*g**2 - 6*g + 7. Let j be v(5). Solve -4*o + p = -j*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2349 + -1639. Round n to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 16) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + 4 + -4 + 1. Solve -z*f + 0*f = -12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -237 - 5*o**2 - 75*o + 156*o - 79*o + 3*o**2 - 366 to j*o**2 + z + p*o and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.450351 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -3. Suppose -1 = v*c - 3. Which is greater: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 192 + -204. Let h be (-16)\/v*(-9)\/32. Which is the nearest to 0?  (a) 0  (b) 5\/6  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 9984.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 28 = -144. Suppose d - m = -d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45)\/63 + -145*8\/(-840)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.46 + 1538?\nAnswer: 1537.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 6840 = -14*s. What are the prime factors of 5 - 2 - (1 - s)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zwjpp. What is prob of sequence wzj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 13*a**3 - a**2 - 3*a + 2. What are the prime factors of c(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.039505 centimeters to kilometers.\nAnswer: 0.00007039505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(160)*-3)\/(sqrt(55)\/(sqrt(1584)\/sqrt(4))))**2.\nAnswer: 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110100 - -1110010?\nAnswer: 11100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.6, -13\/7, -1\/8, -0.06?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10097 divided by 7632.\nAnswer: -10097\/7632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r. Let z(j) = -493*j**2 + 112. Calculate z(p(f)).\nAnswer: -1972*f**2 + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1206809 a multiple of 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 75*i**4 + 10*i**4 - 17*i**4 + (5*i - 3*i - i)*(7*i**2 - 7*i**2 + 7*i**3) - 3*i**4 - i**4 + 2*i**4.\nAnswer: 73*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13900*b**4 + 6*b**3 - 50*b**2 - 4*b + 3035240?\nAnswer: 166800*b**2 + 36*b - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -133*m**5\/20 + 92*m**2 - 22*m. Find the first derivative of q(y) wrt y.\nAnswer: -399*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*h + 187*h - 423 = -3064 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-88))\/(-5*56\/(-1540)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 0, 40, 124, 258, 448, 700?\n\"Answer: k**3 + 16*k**2 - 15*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1372623612?\nAnswer: 2, 3, 19, 6020279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w + 5. Let l be v(0). Suppose -l*y + 44 + 346 = 0. Suppose -4*f = 4*j - 3*j - y, 3*f = -4*j + 377. What is the remainder when j is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o - 1. Let w(p) = -5*p**2 + 3*p - 6. Let v(m) = 11*m**2 - 7*m + 13. Let t(g) = -3*v(g) - 7*w(g). Determine t(r) + 2*z(r).\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33853.\nAnswer: 97, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 - 13741932*m + 23605086886578.\nAnswer: 2*(m - 3435483)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -55.5 + 78. Let g = v - 22.419. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 2*t**2 + 5*t - 6. Let k be d(2). Let r be ((-1)\/k)\/((-4)\/32). Solve -w + 2*w + g = 3, 0 = 5*w - r*g + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6103023156.\nAnswer: 2, 3, 103, 1645907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118 is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 196 + -201.45. What is u rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*i**3 - 57 + 57 - i**2 - 22*i**3 + 16*i + 328*i**4 - 17*i in the form d + r*i**4 + z*i + l*i**2 + v*i**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 52477660 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 250 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of -h**6\/120 + 7*h**5\/20 - 35*h**4\/24 + 4*h**3 - 24*h**2 + 5*h. What is the units digit of l(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4050155 - 4050155 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 215963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 2*b**3 + 6*b**3 - 42*b**2 + 21*b**2 + 19*b**2 in the form p*b + d*b**3 + s*b**2 + n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 432, 853, 1274?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -274 + 3019\/11. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/5244 and 39\/16.\nAnswer: 20976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*b + 33*b - 3 - 38 + 41.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 62 = -5*s - 15*q - 9, 3*q + 5 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 9*y**2 - 2. Let l(u) = -u**3 - 3*u**2 - 3*u - 3. Let o be l(-2). What is the lowest common multiple of x(o) and 110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3 + 5 + ((-4 + (sqrt(1872) - sqrt(1872)*1) - -5*(sqrt(1872) + 1)) + -2)**2).\nAnswer: -187212 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 d, and 1 s when three letters picked without replacement from {s: 1, y: 11, d: 2, w: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 70 + -142. Let j be (-48)\/64 - 70\/k. What is the third smallest value in 4, j, 1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 13) + 6 + 2 + 2 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6 + 4)*9\/2. Let w = -15 - i. Let z be 0\/w - (5200000 + 0). What is z rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1301879*g**4 + 76*g + 65156 wrt g.\nAnswer: -15622548*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.4 + -1. Let j = 972 + -972. Let s = 0 + -0.3. What is the closest to j in 0.5, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111100000110110 - -1110011011?\nAnswer: -1111010010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -127*x**2 - 254*x + 254. Let u(q) = -q**2 + q - 1. Calculate d(p) + 254*u(p).\nAnswer: -381*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.127948 + 0.3479641. Let o = -0.22 + u. What is o rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10aa (base 11) to base 2\nAnswer: -10110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 843867.2 centuries?\nAnswer: 84386.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-372)\/14)\/((-1650)\/(-7700)))\/4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/((6\/4)\/(-3)). Suppose -5*x = 5*g + 15, i*g + x = -0*g - 3. Let v(d) = d**2 + d + 1. Calculate v(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -5*2*(0 - -1). List the prime factors of (5\/i)\/(1\/(-20)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 224*t**5 + 3*t**4 - 79*t + 3 wrt t?\nAnswer: 4480*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 9  (b) -10  (c) -1  (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22763 + -22761. Let q(p) = p**2 - 4. Let b(a) = a**2 + 2 - 6 - 5. Give m*b(k) - 5*q(k).\nAnswer: -3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 16 = -5*o, 10 = -181*o + 186*o - 5*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (4 - (-2 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 129732611 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + 5*g**2 - 3*g**2 + (0 + 0 - g)*(g + g - g))*(7 - 2 - 1)*(-g + 2*g - 3*g + (g - 3*g + 3*g)*(0 - 3 + 4)).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of 1\/24*l**4 - l**3 + 10*l**2 + 0*l + 0. What is p(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**3 - 3*j**2 + 2*j**2 + 0*j**2 in the form m*j + f*j**3 + z + k*j**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, x: 1, w: 2}. Give prob of sequence wzx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 n, and 1 p when three letters picked without replacement from {n: 7, p: 1, g: 8, c: 1}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3652*u**4 + 281*u - 9 wrt u?\nAnswer: -43824*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6243333?\nAnswer: 3, 653, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that x**4\/4 + 5*x**3\/2 + 2*x**2 - 5*x\/2 - 9\/4 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -2*o - 47 + 279, 0 = 2*o - 3*h - 211. Calculate the smallest common multiple of o and 90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*u = -84*u - 56. Suppose -23*d - d = 672. Is d != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggv when three letters picked without replacement from ggbggovbbgvg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-18))\/((2\/36)\/(1150\/(-345)))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 8*z**2. Let r(b) = 36*b**2. Give g(r(v)).\nAnswer: 10368*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 332 + -14353430?\nAnswer: -14353054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 203 divide 1115856896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from xdhddffzzhdz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**4\/11 - 192*t**3\/11 + 2306*t**2\/11 - 5208*t\/11 - 7704\/11 = 0. What is t?\nAnswer: -107, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**4 + 2*l**4 - 6*l**4)*((-2*l + l + 3*l)*(-1 + 1 + 2) - 2*l - 2*l + 2*l + 4 - 3*l - 4 - 12*l + l + l).\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -17*i**4\/24 + i**3\/6 - 24*i**2. Suppose -4*x + t - 6 = -0*x, 3*x - 4*t + 11 = 0. Give m(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 31 + -20. Suppose -3*z = -1 - f. Let q = -34 - -62. Solve k = -2*k + 15, 0 = -2*h + z*k - q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -835, -0.5, -3, -1\/8, 1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -71\/7, -2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 5 + sqrt(39)\/sqrt(3).\nAnswer: sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 9536 + 16?\nAnswer: 954c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*i + 6. Let b = 326489\/11 + -29681. What is the closest to b in i, 1\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -75382 - -11\nAnswer: -75371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*t + 4*q - 3, t + 4*q - 27 = 0. Let h = 11 - t. Suppose -a - 78 = -5*n + 49, -h*n + 110 = 2*a. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 40, 35, 30?\n\"Answer: -5*c + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 34*v - 200. Let f be j(6). Which is the fourth biggest value?  (a) 1\/3  (b) f  (c) -1.7  (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*v = -5*v - 88. Let j be (-3)\/v - 5406\/(-136). What is the highest common factor of j and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.034, 4, -2002, 2\/9 in decreasing order.\nAnswer: 4, 2\/9, -0.034, -2002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-17)\/(-4) - 3\/12. Let f be (-1059)\/(-27) - n\/18. Solve 5*i + f = 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 5) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/216 and 833\/(-168) + (-2 - (-33)\/6).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 4. Suppose h = -3*v + 10 + 8. Find the third derivative of 11*g - g**2 - 3*g**2 - 11*g + 3*g**v wrt g.\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(288) + -1*sqrt(288) + sqrt(288))\/sqrt(8))\/(sqrt(540)\/sqrt(5)) - (-1 + sqrt(147) + -4)**2*4) + -4)*2.\nAnswer: -1384 + 1682*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 0*f = -3*f + 49, f = -4*o + 73. Calculate the smallest common multiple of (4 - 1)*(-4 + o) and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.05 + -0.08. Let s = l - 1.97. Let j = s - -1.8. Which is the second smallest value?  (a) -3\/8  (b) -1  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 67991 and 85008.\nAnswer: 75062064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is da + -2c?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80 - 40 = -20*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/2, -0.3, 1\/3, -28, -1.53, -0.01?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, r: 4, l: 3, z: 3}. What is prob of picking 2 l and 1 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83 = -10*j - 23. Suppose 3*k - 3113 = 4*m, 0 = -2*k + 2*m - j*m + 2082. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1821116.43184 - -1788386.231. Let p = v + 32731. Let o = -0.8 + p. Round o to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 3*z - z)*(z**3 - 2*z + 2*z) - 41*z**4 - 226*z**2 + 226*z**2 + 144*z**3 + 32*z**4 - 144*z**3.\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r - r + 5*r)*(-2*r + 0*r + 0*r) + 27*r**2 - 2*r**2 + 4*r**2.\nAnswer: 31*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/39 and (46*(-1)\/(-15))\/((-442)\/102)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 2*w**2 + w + 2. Let h be (-17 - -15)\/(0 - -1). Let n be z(h). Sort n, -2, 1 in descending order.\nAnswer: 1, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 14\/11, 3\/7, -1\/3, 0, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 3*k + 19, 2*k - 6*k + 12 = 0. Suppose -t = -3*t + d. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -2, 2, 5, 1 in descending order.\nAnswer: 9, 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + sqrt(272) + 0)*-2.\nAnswer: -24 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167*h - 74*h + 47 - 72*h - 47 + 13*h**2.\nAnswer: 13*h**2 + 21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -403239.84 to the nearest ten.\nAnswer: -403240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 71941558 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*t**2 - 4*t**2 + t**2 - 2 + 1 to q*t + a + x*t**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 PM and 10:51 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*a**5 + 13930*a**4 - 2530578*a**3 + 1010558*a**2 - 101000*a = 0. Calculate a.\nAnswer: -404, 0, 1\/5, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n\/((n\/n**(-2))\/n*n)*n))\/n**(-1\/4))\/(n**(-8\/5)*n*n**(-5\/6)*n))\/((n*n**0)\/n**(-2\/15)*n**(3\/11)\/n**(3\/5)) assuming n is positive.\nAnswer: n**(413\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 190 - 621. Let b = -417 - u. Is b bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 smaller than 429\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 23003261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 3\/17, -1210, -4, 3?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t\/(((t\/((t*t**7)\/t))\/t)\/t)*t*t\/(t*t*t**0)*t)**(-31))**(1\/5))**8 assuming t is positive.\nAnswer: t**(-2728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 34890*k - 16480.\nAnswer: 34890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -12*x - 24. Let t be r(-11). What is the greatest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 14*u + 5*x = x - 4, 5*u + 21*x = -251 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16211.3 + 16211. What is the closest to 2\/21 in 0.06, f, 5, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 - -19. Sort 0, n, -3 in descending order.\nAnswer: n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of c**4\/12 + c**3\/6 - 2*c**2 - c - 353. Let v(s) = 3*s**2 + 3*s - 11. Give -7*i(q) + 2*v(q).\nAnswer: -q**2 - q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*j**2*w + j**2 + 41*j*z - w**3 + 8*w*z with respect to w.\nAnswer: 2*j**2 - 3*w**2 + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 7*u**2 - 2*u - 9. Let j be i(-7). Calculate the least common multiple of (27\/45)\/(1\/j) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18 in -3, -4\/185, 0.7, -3\/10?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 14 - 204\/216*15. Sort 3, 0, -0.5, -183, i.\nAnswer: -183, -0.5, i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 2 y when four letters picked without replacement from yyyyyyyyuyyyuuyy.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1681 at most as big as -1681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -44, -260, -660, -1268, -2108?\n\"Answer: -4*j**3 - 68*j**2 + 16*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 1 + 19, 2*d - 1380 = -4*x. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 542656.7 years?\nAnswer: 542.6567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13250*z**3 + 6551*z**3 + 6707*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wvccvbvwwcvcvvvwwb. What is prob of sequence bcc?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (t + 9*t - 38*t + (0*t - 2*t - 2*t)*(-3 + 3 + 2))*(3*t**3 + 0*t**3 + 47*t**3 + 39*t**3 + 20*t**3) as w*t + j*t**3 + a*t**4 + c*t**2 + l and give a.\nAnswer: -3924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -6*z**2 - 35*z - 33. Determine j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 PM and 1:07 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 207749 to the nearest one thousand.\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, 1598, 4 in ascending order.\nAnswer: 4, 35, 1598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -2*z + 57. Suppose -4*b - b = -a - z, -4*b + a = -34. What is the units digit of 152\/3*12\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-30)\/(-1)*14\/21. Suppose f = -f + i. What is the remainder when 15 + 1 - -2*1 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v + 29. Let q be x(12). Calculate the greatest common divisor of q and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 16, -2\/15, 11, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304449 is divided by 2360.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 3*c = 148, 3*s - 3*c = 143 + 79. Suppose 2*z - u = 7, -3*u - 4 = 5. Suppose -6 = -z*a, 3*a - s = -4*x + 115. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 - 3*b - 13. Suppose -131*z + 20*z + 555 = 0. What is y(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of -j**4\/4 + 4*j**3\/3 + j**2 - 21*j + 2250. Determine i(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/1620 and -29\/30.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 - 83*o**2 - 161*o + 116. Calculate the remainder when 142 is divided by v(-81).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, b: 3, n: 1, o: 4}. What is prob of sequence ox?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 9 + (-15 - (3 + -5)) + -93 + 84?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/56 and (273\/98)\/(75\/(-40))?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 136.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -229*l - 5*z + 20 = -233*l, 2*z + 120 = -24*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -5745\nAnswer: -574.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 13\/((-39)\/(-18)) - 0. Let g = q + -12. Let w(p) = p**2 - 5. Let x(i) be the second derivative of i**4\/12 - 3*i**2 - 30*i. Determine g*w(n) + 5*x(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1041141*m*v - 122381*m + 2 wrt v?\nAnswer: 1041141*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1139258385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17089.\nAnswer: 23, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than 0.5734?\nAnswer: 0.1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y\/(y*(y*y**(1\/2)*y)\/y))*y**5*(y**(1\/2))**(-50) assuming y is positive.\nAnswer: y**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 174*d. Let i(y) = -y. Let z(q) = 7*q. Let u(g) = -5*i(g) - z(g). What is u(v(t))?\nAnswer: -348*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1443060 rounded to the nearest 10000?\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34006203 to the nearest integer?\nAnswer: 5831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -75\/2 - 1\/4*o**2 + 35\/4*o = 0.\nAnswer: 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2767023 - -2767023.7443876. Let s = 1.144388 - i. Let k = s - 0.4. Round k to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1302 - -1301.999999793. Round l to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + a = -44, 2*c + 3*a = a + 12. Solve 0 = 5*v - c, 0*d - 2*v = -4*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.023856239 rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 - 0.1. Let g = -0.03 - -0.06. Let o = g - 5.03. Which is the nearest to u?  (a) 4  (b) o  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 5 = -p, -5*f - p + 1070 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 279 from -2.28.\nAnswer: -281.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -583*i - 14653 - 12966 = -8963 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -120*f - 35. Let b(s) = -7*s - 2. Let y(m) = 35*b(m) - 2*u(m). Let a(o) = -o. What is y(a(d))?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/(-2) - 1598*(8 + -10). Calculate the greatest common factor of v and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -332*t - 205*t - 29*t.\nAnswer: -566*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/5?  (a) -5  (b) 2\/17  (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1184545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m = -2*m + 85. Suppose 0 = -m*i + 26*i - 20874. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2448 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from swiskix?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-460)\/(-736)*480\/(-15750)?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1405 (base 6) to base 11\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -931 and 103434475.\nAnswer: 103433544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 389215731?\nAnswer: 3, 17, 113, 67537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1285, 10477, 35087, 82825, 161401, 278525, 441907?\nAnswer: 659257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 5*l = -17, -5*x - 3*l = -7*l - 31. Suppose x*d = -d + 164. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 49\/165 - -2\/55. Let w(c) be the third derivative of 0 + 0*c + c**2 + x*c**3 - 1\/24*c**4. What is w(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2)*(0*t - t + 2*t)*(-2 + 0 + 0)*(-4 - 2 + 4).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**3 - 3348*o**2 - 386127*o - 11787930.\nAnswer: -3*(o + 63)**2*(o + 990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 2, 2\/7, 7\/738582 in ascending order.\nAnswer: 7\/738582, 2\/7, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(245)*-3)\/sqrt(5) - sqrt(49)) + (-3*sqrt(392) + sqrt(392) + sqrt(392) - sqrt(392) - sqrt(392))\/sqrt(8))\/(sqrt(343)*1 + sqrt(56)\/sqrt(200)))**2.\nAnswer: 8575\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2263951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 152  (b) -4  (c) 4  (d) 2\/9  (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 5*j**3 + 4*j**2 - 4*j + 5. Let a be d(4). Let p = a + -212. Calculate the remainder when p is divided by 10\/2 - (-489 + 471)\/((-2)\/(-4)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 62213 or 62217?\nAnswer: 62213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 49 and 4270841649875.\nAnswer: 4270841649924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 0 + 0 + (-2*h + 2*h - h)*(0 + 4 - 5) - 7*h + 2*h + 3*h + 2*h + h - 5*h)*(-3*h - 2*h + h).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114442?\nAnswer: 2, 57221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 19*h**3 + 6 - 27*h**3.\nAnswer: -46*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 356 and 703367?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 19 - -94?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 10*k - 20. Let v(u) = 10*u - 21. Let x(d) = -3*v(d) + 4*w(d). Find the first derivative of x(z) wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 282 = 3*a + 257, 21*d + a + 230 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.21 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7287 is divided by 300.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*c**2 - 45*c**2 + 26*c + 2*c**2 + 11*c**2 to r + o*c**2 + h*c and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 973*l - 9080 = -55784 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 3*a = 10, 4*i - 301*a = -296*a - 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z - 4. Let g be t(5). Let y = 142 + g. Find the third derivative of -157*u**2 - 9*u**3 - u**3 + y*u**2 wrt u.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 r when three letters picked without replacement from {n: 1, y: 10, r: 7}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - 11*d + 28. Let c be o(9). Let h be (-1)\/2*(c - 11). What is the second smallest value in h, -0.25, -3?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*r + 6. Let g = 8 + r. Suppose 0 = -u + g*u + 9. Put u, 5, -1 in descending order.\nAnswer: 5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 3, -13\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*o, -o + 6 = 3*x. Suppose 5*q - q = 0. Suppose -5*b + 2*j + 85 = q, j + 1 = -b + 18. Solve 0 = -4*l + 2*y + 14, l + b = -x*l - 4*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-6)*t)\/(t*(t*t*t**(-2\/3)*t)\/t)*((t\/(t\/(t\/((t\/t**(2\/5))\/t))))\/t)**37 assuming t is positive.\nAnswer: t**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 295.6 - 295.7. Put 5, i, 37\/4 in decreasing order.\nAnswer: 37\/4, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3*d**3 + 30*d**2 + 477*d + 4651. What is m(-10)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 7*j - 23*j**2 + 13*j**2 + 13*j + 13*j**2. Let c(w) = -2*w**2 - 19*w. Let o(q) = 5*b(q) + 4*c(q). What is the second derivative of o(g) wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 4*d - r - 28, -d + 3*r + 14 = 0. Solve 0 = -d*q + 3*q - 2*j, 4*q = j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*t**3 + 60*t**3 - 9*t**3 - 115*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -7.1. Let m = v - -0.08. Let i = -2.98 + m. Is i at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -365, -369, -375, -383, -393, -405?\n\"Answer: -w**2 - w - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 1686164166.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 801417 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 24*j**2 - 67*j**2 + j**3 + 2*j**5 + 30*j**2 + (-j**2 + j**2 - j**4)*(0 + 0 + 2*j) - 13*j**5 + 7*j**5 - 7*j**5.\nAnswer: -13*j**5 + j**3 - 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - 2*x**2 - 98*x - 18. Let l be v(11). Let n be 4\/(14\/l) + 1 + -71199. Round n to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -13. Suppose 4*i = -w*i + 520. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 83612 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.72 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*o + 33 = -45. Calculate the remainder when ((-47)\/(-94))\/(o*(-1)\/(-424)) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**2 + 3042 - 83*d + 28*d - 101*d = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 237850611 to the nearest integer?\nAnswer: 15422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -595935 - -595917.00307. Let d = 18 + z. What is d rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*f**3*v - 134811*f**2*v + 14*f*v - 2*f + 5*v + 4337 wrt f?\nAnswer: -18*f*v - 269622*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*x**3 + 30*x**3 + 37*x**3.\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -9*k**2 - k + 3. Let s(z) = -10*z**2 + 3. Let r(j) = -4*f(j) + 3*s(j). What is the remainder when r(2) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 - 6*x - 59. Give p(-8).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2027451378 to the power of 1\/3, to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-55)\/4 - 2\/8. Let r(m) be the second derivative of -m**3\/6 + 2*m**2 + 2*m. Does 9 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2540 and 1286510?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49978147 + -0.216.\nAnswer: 49978146.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 r, and 1 q when four letters picked without replacement from {q: 4, p: 3, r: 3, z: 1, e: 3, d: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*n**2 + 0*n**3 - n**3 - 4*n**2 - 13*n**2.\nAnswer: -n**3 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 62.93 - 63. Put -0.5, g, 2\/11, 3 in decreasing order.\nAnswer: 3, 2\/11, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence khkw when four letters picked without replacement from katkwddh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(48\/72)*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 260.9 + -0.02803769\nAnswer: 260.87196231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1264051 (base 8) to base 4\nAnswer: -1112200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -7. What is the remainder when 8 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1167754 is divided by 276.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -100100 (base 2) to base 12\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.105 + -0.121. What is q rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 7*q**3 - 3 - 30*q - 6*q**3 + 13 + 0 - 14*q**2. Is w(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 8*h**2 - 2*h + 1. Let a be r(1). Let j(f) = -f**2 + 9*f + 1. Let b be j(a). Suppose -5*v + 2390 = 5*l, 4*l + b = 3. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*c**3 + 17*c**3 - 114*c**3 + 50*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*n - 2*d, n - 5*d + 6*d = -1. Solve -3*f - 13 = 2*y, 4*f + n + 6 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 823, 2870, 4917, 6964?\nAnswer: 9011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*x - 88*x + 149088. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -83*k**2 + 369*k - 61. Determine m(4).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of k**3\/3 - 8*k**2 + 8*k - 36. What is the units digit of b(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + n + 3. Let w(v) = -v**2 - 7*v - 9. Let r be w(-7). Let y = r + 4. Is d(y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p + 3. Let y be k(-5). Let n = 0 - -2. Which is greater: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -3, 3 in decreasing order.\nAnswer: 3, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4002 (base 8) in base 15?\nAnswer: 91a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3210 divided by -48?\nAnswer: -535\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 134. Suppose -51 - v = -4*x. What is the remainder when 161 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 8*j + 2. What is z(-11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s**(-1\/28)*s)\/s)\/s*s\/s**(1\/3)*s)**48)**24 assuming s is positive.\nAnswer: s**(5088\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 5:50 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -14, -101, -240, -425, -650, -909?\n\"Answer: a**3 - 32*a**2 + 2*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*o**3 - o**3 - 5*o**3 - o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*v = -69*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -941 - 867 + 789*n + 1808.\nAnswer: 789*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 4*q - 795, -14*s = -4*q - 15*s + 797. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-177)\/2*(-42)\/(-504) - -7.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 9*f**2 - 5. What is k(-8)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1421740642 and 8962.\nAnswer: 8962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/9*(3 - 6). Suppose v - w = 1. Solve 4*m - 15 = v*s, 0 = m + m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 95 - 33. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 0*s**2 - s**3 + 10*s**2 - 24*s**2 + 15*s. Give n(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lueii. Give prob of sequence le.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c**2 - c + 1. Let i be r(1). Suppose 5*z = i*z + 12. Suppose 2*v - 6 = -0. Solve 5 = v*h - z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8319 at least as big as 0.062061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 + 11. Which is the second smallest value?  (a) f  (b) 1\/5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - -5)*(-2)\/14. Suppose 3*i + 2*r - 204 + 74 = 0, 185 = 4*i + 5*r. Let l = -39 + i. What is the nearest to l in d, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/15 + (-15730)\/150. Let l be 4\/4 + (4 - (-415)\/b). Is 0 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y**2 + y**2 + 0*y + 2*y)*(5 - 3 - 5)*(85*y**2 + 8*y**2 - 5*y**2) to the form p*y**2 + m*y + r*y**3 + c*y**4 + t and give c.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*1*sqrt(110) - (sqrt(110) + 6*sqrt(110)*1))\/(-5*sqrt(40)\/sqrt(4)*-2).\nAnswer: -4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 0 + 2 = 0. Suppose -c*l + 3*l = 2. Solve -15 = -l*v - v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 12:36 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4889b (base 12) to base 11\nAnswer: 67727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 43664922 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 444\/709 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 210, 773, 1704, 3009, 4694, 6765, 9228, 12089?\nAnswer: 15354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15559 is divided by 3884.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 1:50 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 115*l**3 + 6*l**2 - 10*l - 5. Let j be b(3). Suppose -7*u - j = -11*u + 4*d, 5*u = 4*d + 3908. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express m**2 - m**3 - 5 + 0 - 289*m + 288*m as d*m + g*m**2 + b + n*m**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1058 in 9652, 1\/4, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 12) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -l - 30 + 4*l + 23 wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -5*s - 15. Determine n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15476*a**2*b**2*o**2 - 8*a**2*b**2*o + 4*a**2*b**2 + 3*a**2*o + b**2*o**2 - 3*b**2 wrt o.\nAnswer: -30952*a**2*b**2 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -193*m - 1160. What is the tens digit of t(-50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, g: 7}. Give prob of picking 2 l and 1 g.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 - 11*s**2 - 12*s - 57. Let p be i(-11). Suppose -14*k + 11*k = -p. What is the highest common divisor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160483663?\nAnswer: 160483663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26155593 to the nearest integer?\nAnswer: 5114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 4*s - 2*s = 159, 3*q - 4*s - 85 = 0. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 1\/10  (b) 0  (c) 0.3  (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 + 100001011010011?\nAnswer: 100001011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 62694 and 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 - -31. Solve -3*d + 5*d + 4 = b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 112*n**2 - 2648*n - 1036. What is q(-132)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 4*y**2 + 22945188*y + 183561248 = 0.\nAnswer: -5736289, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2 + 0. Let i = j + 0. What is the closest to 0.1 in i, -2\/5, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 8 - c + c**3 + 4*c - 10*c**2 + 0*c**2 - 2*c. Is q(10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000006437 rounded to seven dps?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3210717ug to grams.\nAnswer: 0.0000003210717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k - 2. Let v be q(-2). Let a(c) = 6*c**2 - 7*c - 7. Let h(w) = -2*w**2 + 2*w + 2. Let p(u) = v*a(u) - 14*h(u). Let n(m) = -7*m. Give p(n(s)).\nAnswer: 196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b (base 15) in base 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 232, -0.1, 34, -5\/14, 9, -5, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of -3*y**5\/40 + 5*y**4\/8 - 2*y**3 + 3*y**2 + 7*y. Factor j(o).\nAnswer: -3*(o - 2)**2*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2944187385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -38378615 or -38378612?\nAnswer: -38378612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 245 = 3*w. Let f = 186 + w. Let y = -42 + f. Calculate the greatest common factor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccccchccicc?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -91484, -182968, -274452, -365936?\nAnswer: -457420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10.0129 + -10. Let y = l - 0.0329. Is -12 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -9*y**2. Let c(f) = 10*f**2 + 5*f + 10. Let x(i) = 10*i**2 + 4*i + 8. Let s(n) = 4*c(n) - 5*x(n). What is o(s(l))?\nAnswer: -900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*c + c. What is the smallest value in 4\/7, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + -6 + 9 + -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - 1*(-4 - -3). Let j be (12\/(-8))\/(6\/(-20)). Does o = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 598 = -31*z + 35*z, 0 = 2*o + 4. Calculate the greatest common factor of z and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13222 - -24829. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nii when three letters picked without replacement from niinniiniii.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -82 - -80.05. Let s = -0.05 + p. Let q = -14 - -17. Which is the second biggest value?  (a) s  (b) 1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - u + 19 = 4, -5*u = f - 3. Suppose -4 = -3*y + 2*z, 0*y + f = -3*y - 4*z. Let l be (-4)\/3*(17 - 23). Solve 2*d - l = -y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -82 - -81.855. Let r = -0.223 - m. Round r to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + 2\/(2 + 0). Let c(s) = 4*s**2 - 31*s - 36. Let k be c(9). Calculate the highest common factor of k and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 739 and 154208608?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ovw when three letters picked without replacement from rrowsrssvsw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 13139750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(208) - (sqrt(208) + (sqrt(208) - (sqrt(208) + 2*(sqrt(208) + 3*sqrt(208))))**2 + sqrt(208)) - (0 + (-3*sqrt(208))**2))*6.\nAnswer: -546624 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and 361.\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 divided by -33649?\nAnswer: -90\/33649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16275*u**2*z - 22*u**2 + 196*u + 1662*z wrt u?\nAnswer: 32550*z - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10)\/18*-9*-15. Which is greater: -76 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -233 - 75 - 61*o**2 + 71*o**2 - 1008*o + 36 + 332*o = 0.\nAnswer: -2\/5, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*532667.\nAnswer: 2130668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7.2 - -7. Let s = l + 0. Let h = -0.2294 - -0.1294. Which is the nearest to h?  (a) 5  (b) -17  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/75)\/(6\/(-36))*(-40)\/(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4716, 4722, 4728, 4734?\n\"Answer: 6*i + 4710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2.2  (b) -2\/13  (c) -141  (d) 0  (e) 1  (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 8*h - 15. Suppose 6*v - 9 = h*v. What is the units digit of (-7)\/(-1) - (3 - v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*t + 9 + 4, 35 = 5*b + 5*t. Suppose 54 = 4*k - b. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 29*n**2 - 17*n - 7. Let t be v(6). Suppose -2*z + 3*p = -t - 12, -5*p = 4*z - 1905. List the prime factors of z.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -22.29 - -22. Which is the nearest to v?  (a) 2  (b) -2  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of q**3\/2 + 219*q - 1. Let b(g) = 2*g**2 + 188*g. Give x(b(j)).\nAnswer: 6*j**2 + 564*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 g, and 1 r when three letters picked without replacement from ffffrrgrlxzrlrrrxffr.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 8*v**2 - 41*v + 237. Calculate the remainder when 358 is divided by r(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from zwpzqwpwqwpwwwpuqwpu.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/136479 and -137\/84?\nAnswer: 545916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 171773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16\/7?  (a) 17  (b) -5  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 2*v - 76. Let o be z(8). Let u be 8\/(-20)*(14 - o)*-1. Solve 0*j - 2*b = u*j - 8, 3*b + 16 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 6. Suppose 0 = -5*d - 3*n + 18, -4*d - 4*n + 15 = -n. What is the highest common factor of d and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 2*j - p, -3*j = -2*p + 4. Let l be (8\/16)\/(3\/(-6)). Sort 1, l, 31, j in descending order.\nAnswer: 31, 1, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*m**2 + 782*m**2 + 593526*m + 9095 - 593525*m with respect to m.\nAnswer: 1570*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53815 not equal to 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -146.01 - -268.01. What is the nearest to p in 3\/4, 2\/7, -1\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3576086 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -1.7  (c) -5  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 + 27 + (11 - (-6 + 31))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 3133039.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 226744 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: Let i(c) = -c**3 - 3*c**2 + 3*c + 2. Let t be i(-5). Suppose -5*r + 185 = -3*s, 0 = -5*r + 4*r + 5*s + t. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34220770 is divided by 2444339.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 - 2*z + 1. Let c be u(3). Let m = c - -1. Sort 4, m, -1.\nAnswer: -1, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 0.4  (b) 4  (c) 9  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(1573) + (-5 + (sqrt(1573) - (sqrt(1573) + sqrt(1573) + 1 + sqrt(1573)))**2 - sqrt(1573)) + 3 - ((sqrt(1573) + 2)**2 + -3 + 2)).\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 3\/876344 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 77 - 74. Let a(t) be the first derivative of 2*t + 2 + 1\/6*t**i + t**2. Factor a(s).\nAnswer: (s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lk when two letters picked without replacement from lllllkll?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89608984444 - 139.\nAnswer: -89608984583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.631382 rounded to two dps?\nAnswer: 2.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(88\/70) - (9 + (-105)\/10).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + d. Let m be j(0). Let i(a) = a**3 + 5*a**2 + 3*a - 4. Let x(l) = l + 1. Let v be x(-4). Let p be i(v). Solve m*c - p*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/33*5\/((-20)\/12)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 10*q - 54. Let o(d) = -d**3 - 50*d**2 + 53*d + 110. Let w be o(-51). Calculate the least common multiple of 6 and z(w).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((33 + -31)*(-9)\/45)\/(6\/(-195))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000011 - 10110?\nAnswer: 101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 5 + 3 = 2*a, 5*a + 23 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-33142969.\nAnswer: 165714845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2616?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 82, 160, 252, 370, 526, 732, 1000, 1342?\n\"Answer: 2*o**3 - 5*o**2 + 79*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -77, -172, -267, -362?\n\"Answer: -95*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1930, -3851, -5786, -7741, -9722, -11735, -13786?\n\"Answer: -v**3 - v**2 - 1911*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 + 113 = 4*b - 3*w, -7*w - 9 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3}. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + w - 5*w + 4, 3*w + 14 = 5*r. Let p be -1*(-6)\/((-30)\/25) + -1*2. Which is the second biggest value?  (a) 0  (b) p  (c) -1\/6  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36*12.13\nAnswer: 436.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 4*q**2 + 9*q - 14. Calculate s(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18\/85 + 16\/85. What is the closest to 1\/3 in 0.15, -7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 - 5 = 5*l, l - 26 = -3*t. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1, -21886, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence la when two letters picked without replacement from {h: 1, t: 5, l: 1, a: 10, y: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 195311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2340 = 5*v + 155. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -4 + -1 - 8 - (82 - (211 + 16))?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 3*i = -48, -4*c + 5*i = -9*c + 40. Let x(j) = -3*j + 2. Let l be x(5). Let g = l + 23. What is the smallest common multiple of c and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-1))\/(4 + -5). Suppose -i = -c, 5*c - 2 = 5*l - 7. Differentiate -2*z**l + 17 + z**3 + 3*z**3 with respect to z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of 4*o**3\/3 - 23*o**2\/2 - 6*o + 10. Let m be t(6). Solve m = 2*w - 7*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 - 8*u + 12. Let q be (-1)\/2 + 51\/6. Determine s(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.02 and -12858402784457?\nAnswer: 12858402784456.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z - 35*z + 548 + 964 = 0. Calculate the highest common divisor of z and 2208.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25 + 45. Suppose r = 5*n, 0 = -5*c - 2*n + 6*n - 56. Let l be (c\/6)\/(16\/(-312)). Calculate the highest common factor of l and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25 - -196. Let v be z\/33 + 2\/(-11). Put 0, v, -4 in decreasing order.\nAnswer: v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 192 and 170809152.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -3*c**5\/5 - 5*c**4\/12 + 418*c**3\/3 - 62*c. Find the second derivative of b(q) wrt q.\nAnswer: -72*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 8 + 1, 0 = -5*i - q + 2. Let d = i + -2. Suppose -2*z = 3*z. Sort 5, d, z.\nAnswer: d, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z**3 - 106*z**2 - 740*z + 39195. Give a(53).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7648, 31358, 70872, 126190, 197312?\nAnswer: 284238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.019 in -1.5, -2, 7, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -9*i. Let b(q) = 21*q**2. What is b(k(x))?\nAnswer: 1701*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13\/4*d + 5\/2 + 1\/2*d**2 + 1\/4*d**3.\nAnswer: (d - 2)*(d - 1)*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7849996031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of -a**7\/525 - a**6\/150 - a**5\/150 - 41*a**2\/2 + a + 42. Let l(r) be the second derivative of z(r). Solve l(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 3*j + 18 = 0, -77*j = -2*h - 90*j - 46 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/32*0\/(-2) - -2. Suppose -o - m*c = 7 - 24, -3*c = 4*o - 53. What is the second derivative of 13*f**2 - 17*f - 17*f**2 - o*f - 23*f**2 wrt f?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/220*(-2834185)\/288. Let w = 5735\/16 + c. Let d = 4\/11 - w. Is 1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.35 + -1.32. Let r = -65.97 - i. Let f = r + 66.99946. Round f to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -450185 + 1959313 = 86*m. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m**3 + 2*m**3 + 3*m**3 - 8*m**3 + 0 + 0 + (2*m**3 + m**3 - m**3)*(0 + 3 - 1) - 6*m**3 + 5*m**3 + 33*m**3 to a*m + x*m**2 + y + q*m**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = 4*y - 49, -2 = 4*n + 3757*y - 3754*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -39.0145 and 4.\nAnswer: -156.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (3 - 5 - -2) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 688*d**4 - 40*d**3*o - 20*d**2*o + 3*d**2 + 2*d*o + 1256*d wrt d?\nAnswer: 16512*d - 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91650.\nAnswer: 2, 3, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -130*q**2 + 11*q - 10. What is n(1)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -4*s**2 - 11*s. Let v(x) = -5*x**2 - 12*x + 1. Let z(g) = 6*k(g) - 5*v(g). What is z(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + 58 - 79) + 28\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10101 (base 2) in base 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 5:20 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -72973 (base 11) to base 9\nAnswer: -171751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -x**5\/60 - x**4\/6 + x**3\/18 + x**2 - 850*x. Factor j(l).\nAnswer: -(l - 1)*(l + 1)*(l + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3416*w**2. Let u(v) = 22*v**2. Give u(z(o)).\nAnswer: 256719232*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 3*v - 36, -3*v - 2*v + 52 = 3*q. Calculate the greatest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1.3  (b) 94  (c) 158  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30962 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -25*a**2 - 13*a + 5. Let n(f) = -6*f**2 - 3*f + 1. Calculate -2*k(y) + 9*n(y).\nAnswer: -4*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 0. Let j = -84 + 72. Which is greater: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07502 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4200.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 364587.\nAnswer: 3, 53, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/5)\/((-2)\/(-45)). Let k be (-8)\/(-3)*i\/8. What is the greatest common factor of k and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, f: 2, r: 1, s: 3, b: 3, o: 1}. What is prob of sequence bb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 5*a**2 + 5*a - 1. Let c be b(-6). Suppose -435 = -0*q + c*q. Let i = q - -432\/5. What is the second smallest value in 4, -3\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -w - 13 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 61.2603?\nAnswer: 60.2603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*q + 163 = -669. Does 4 divide -1*(-9)\/(9\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1523, 1859, 2423, 3221, 4259, 5543, 7079?\nAnswer: 8873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**24*g**(-6\/7)*g**(-1\/22)\/g**2 assuming g is positive.\nAnswer: g**(3249\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 887679 * 0.2\nAnswer: 177535.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37 - 5. Let q(b) = b**2 + 3*b + 6. Let o be q(-5). Calculate the highest common factor of t and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7*((-16)\/(-84)*-276 + -1). Which is greater: -1\/8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 63*y - 43. Let f be t(1). Solve -12*a = -7*a - f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 220 + 23.797517\nAnswer: 243.797517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -w - 5. Sort w, 4, -3, 8 in increasing order.\nAnswer: -3, 4, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27481*p**5 - 5*p**4 + 2*p**3 + 947*p**2 + 80*p - 2?\nAnswer: 1648860*p**2 - 120*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h**3 - h**2 + h - 7. Let n(d) = -2*d**3 + d**2 - d + 8. Let l = 47 - 41. Let w(x) = l*f(x) + 5*n(x). Determine w(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 divided by -265.\nAnswer: 24\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -230.\nAnswer: -3\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w**3 + 68*w - 101. Determine n(9).\nAnswer: 1969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39475 or 0?\nAnswer: -39475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 184614 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 12) to base 9\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 120*o - 5 - 120*o + 7*o**3 wrt o?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34358, 34320, 34268, 34202, 34122, 34028?\nAnswer: 33920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -19 + -2173a?\nAnswer: -21753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3*b**3 - 9*b**2 - 23*b - 75. Give x(-5).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i - i = 3*y - 14, 2*i - y = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -414650544469\/185741421206 - 2\/2265139283. Let n = 4\/779 + w. Calculate the common denominator of n and -83\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 11*b**3 - 5*b**2 + 124*b - 266. Calculate v(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.23 - -0.07. Let y = 5.4 - 18.8. Let o = y + 13. What is the closest to g in 4, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hwhhhwwshhahis. What is prob of sequence shi?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -25 - -29. Suppose -f*i = 3*i - 84. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -360 - -578. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -279051*t**2 - 67*t**3 + 279051*t**2 - 21*t**3.\nAnswer: -88*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {m: 1, c: 1, g: 1, x: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, n: 2, b: 3, k: 2}. What is prob of sequence bnb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1319, -2344, -3365, -4382, -5395?\n\"Answer: 2*a**2 - 1031*a - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 + 1)*(f - f - 3*f) - f + 3*f + 0*f + 0*f + 0*f - 3*f + (-3 + 2*f + 3)*(1 + 2 - 1) - 2*f + 2 - 2 - f - f + f - 2*f - 4*f + 4*f.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0.3  (b) 5  (c) 1239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -0*i - 48. Suppose 1146 = -350*s + 1601 + 3745. What is the smallest common multiple of i and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -1\/7, -1, 2\/15, -3, -0.02?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from glpgjmmlwgmp. What is prob of sequence wjmg?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 16 - -146?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -26756 divided by -2\nAnswer: 13378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*q**4 - 870619*q**3 - 28478107*q**2 + 3*q + 2.\nAnswer: 48*q - 5223714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 646?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 - 11. Suppose -f + 3 = 2*n + 2*f, f = -4*n + x. Suppose -2*b - s = 3*s - 28, 0 = 2*b - n*s - 21. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(2) - (sqrt(14)\/sqrt(7) + 0)) + sqrt(2) - sqrt(2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1459*q + 1461*q + 1004*i = -3020, i - 17 = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*(-3*c**5 - c**5 + 6*c**5) + (-2*c - 9*c + 30 - 32 + (1 - 3 + 0)*(3*c - 5*c + 0*c))*(-c**4 + 4*c**4 - 4*c**4).\nAnswer: 5*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -107.93 + 101.1. Let w = 0.17 - v. Let n = w - 12. Which is the third biggest value?  (a) 0.2  (b) n  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 - 6*a + 4. Let n be b(-6). List the prime factors of 48\/32 - (-586)\/n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/750 in -4, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/8260 and 27\/45430.\nAnswer: 90860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34 - 192*g + 69 - 35.\nAnswer: -192*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by 3259\nAnswer: -12\/3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2702, 10786, 24252, 43094, 67306?\n\"Answer: -u**3 + 2697*u**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -696.464, 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m - 4, -2*b - 21 - 3 = -4*m for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75383436055401 - 3.\nAnswer: 75383436055398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-3 + 3 + sqrt(162) + 1)*4)**2 + 5.\nAnswer: 288*sqrt(2) + 2609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9821?\nAnswer: 7, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 2*k + 8, -3*s - 16 = -5*s + 4*k. Solve 0 = -y - 2, s = 5*i - 5*y - 0*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 119*b**2 - 11*b - 48. Let g be v(-5). Suppose 3*y - g = -6*x + 3*x, -2*x = -2*y - 1972. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -181010, -362120, -543230, -724340, -905450, -1086560?\nAnswer: -1267670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-37 - (-13 + -3 + 3) - -13) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1131221 - -112?\nAnswer: 1131333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16\/9 in 0.5, 1\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -4*t**2. Let z(b) be the second derivative of 23*b**3\/6 + 3*b + 56. What is g(z(h))?\nAnswer: -2116*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.216160131 to 5 dps.\nAnswer: 0.21616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 4*b = -4, -12 = -30*b + 27*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 - 7*n**2 + 6*n - 12. Let l be o(-8). Suppose l*v + 11 = -b - 4*b, 4*v + 18 = 2*b. Solve 2*c + 11 = b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18102700 = -39*l + 18105352 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173785161?\nAnswer: 3, 11, 478747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**3 + 0*p**3 + 2*p**3)*(-3*p**2 + 300*p - 300*p - 6).\nAnswer: -3*p**5 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 11:59 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-176)\/440)\/((-2)\/((-60)\/(-2)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/27 and 19\/44250.\nAnswer: 398250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2765 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 8*h = 42. List the prime factors of 152 + 3\/2*28\/h.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -461074 + -443490254\nAnswer: -443951328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c - 116886 = -48*c. Calculate the greatest common divisor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 10:31 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/27 + (64\/36 - -1). Solve -12*b + 7 = -5*h - 10*b, -2*b = c*h + 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123668869 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2.1  (b) 0.4  (c) -1\/4  (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*4\/(-24))\/((-81)\/54)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -2. Suppose -3*k + a = 2*u - 37, 0 = -u - k + 16. Let b = 42 - u. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*y + 25*y - 7*y + 11*y to v + h*y and give h.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 33379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((q\/(q\/(q*q**(-2\/11))))\/q)\/q*q)\/q)**(4\/9))**(1\/13)\/((q*q**2)\/q**(-5)*q\/(q*q**0*q)*q**(2\/17)) assuming q is positive.\nAnswer: q**(-12047\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1614 divided by 3288\nAnswer: 269\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -3 + 51. Let k = -11 + 15. Solve -k*m = -m - u + g, -4*u = m + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*p - 235 + 204 = 719 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((61*o + 619 - 619)*(-2*o - 3*o + o + (-1 - 4 + 2)*(0*o + 5*o - 3*o)) + (0*o + 0*o + 2*o**2)*(-1 - 2 + 2))*(-o + 0*o + 4*o).\nAnswer: -1836*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 79+1.28\nAnswer: 80.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and -8394.628?\nAnswer: -33578.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, 2, -6553 in decreasing order.\nAnswer: 2, -21, -6553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/5 - 28*r\/5 - 66\/5.\nAnswer: -2*(r + 3)*(r + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 7 - 29)*(-g - 2*g + 5*g + (-4*g + 3*g - g)*(1 - 2 + 3) - 3*g + g - g + 3*g - g + 0*g + g - 3*g + g + 19 + 3*g - 19).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**0)**(-48)*d**(-9)*d*d\/(d*(d**4\/d)\/d))\/((d*d*d**4)\/((d**13*d)\/d))**5 assuming d is positive.\nAnswer: d**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17707 + 10227. Round a to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 98 = 2*b - 2*s, -5*s = 20. Is b equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -839 + 9231\/11. Let g = 12 - -4. Let b = 15.9 - g. What is the closest to -7 in n, b, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-71)\/(-5) - (-768)\/(-3840)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 5*x = 0, 2*x - x = 0. Are d and 14\/39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - 1. Suppose y*t - 3*f = 3*t - 15, -22 = -4*t - 5*f. Let i = t - -5. Solve c = -c - i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2332034 - -100014?\nAnswer: 2432103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 205*x = -2542 - 1220 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*r - 725 = -245 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 65.462 + -48.6448. Let i = q + -15.81. Let n = i + -1. What is n rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -67 and 1.4098200093.\nAnswer: -65.5901799907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -189*s**3 + 380*s**3 + 3*s + 2 + 25*s**4 - 3 - 192*s**3 to u*s**2 + a*s + v + p*s**3 + m*s**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 144431 and 7144.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 90830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 41418 and 246402?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 74002987 and 0.3.\nAnswer: 22200896.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110*g + 103*g + 104*g - 418*g + 103*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1511*u + 295*u + 24 + 606*u + 612*u - 24.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59*-2.893.\nAnswer: 170.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 6*r**2 - 11*r + 2. Let v = -156 - -181. What is the least common multiple of k(-7) and v?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4719 and 1089.\nAnswer: 14157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*p + 1 = -0*n, -4 = 2*n + 2*p. Let j be 0\/((n + -1)\/2). Suppose 0 = -k - j*k. Solve k = s - 4*r + 4, 5*s + 4*r = -3 + 31 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 1 + 3*g**2 - 6*g**2 - 2 + 2. Let c(a) = -a**2 - 2*a + 4. Let v(k) = -k + 1. Let z(j) = -c(j) + 3*v(j). Let y be z(2). Give m(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d**3 - 34*d**2 + 2*d - 30. Let m be z(17). Suppose -2 = w, m*w - 450 - 142 = -5*i. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -870613\/17112 + 5\/2139. Let j = 51 + c. Suppose 2*u = -m, 3*u - 4*m - 12 = -u. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1190\/(-630) - (-10)\/18)*9\/174?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/1 + (-6)\/(4*((-828)\/2784)\/23)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 4*h + 338, 39*u + 823 = 44*u + h. Solve u*v - 174*v + 27 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l + 1. Let t(n) = 10*n + 4. Let v(p) = 28*h(p) - 6*t(p). What is the tens digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7 less than -1750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 475?  (a) -0.2  (b) 0.0747  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddqqqqqdsdqqdsqq. Give prob of sequence dq.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27445 is divided by 305?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*6\/(-9)*(-1)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2.92, -3, 222, -9, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3682405 to the power of 1\/2, to the nearest integer?\nAnswer: 1919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s = -4*s + 20, 0 = 3*x + 5*s + 8. Suppose 2*k - 20 = -x*h, 0*h + 3*h = -5*k + 29. Let f be 33\/9 + 4\/(-6). Sort k, -3, f in descending order.\nAnswer: k, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, i: 10, l: 1, x: 2}. What is prob of sequence zxil?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from jihhoijhhmmj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -111198.\nAnswer: 1\/37066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 75*c**3\/7 - 960*c**2\/7 + 732*c\/7 - 144\/7 = 0.\nAnswer: 2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + i + 0*i + 23 = 0, 3*h = 4*i + 24. Suppose -h*v - 4*v = 48. Sort -0.2, -2, -0.5, v.\nAnswer: v, -2, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14143433 (base 5) to base 15\nAnswer: -2d72d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-3*sqrt(68)\/sqrt(4))**2 - ((sqrt(153))**2*-3 + (3 + sqrt(68)\/sqrt(4))**2).\nAnswer: -6*sqrt(17) + 4258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22985 is divided by 5742.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {i: 2, o: 1, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/728 and -97\/1431612.\nAnswer: 2863224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 84*s**2 - 4*s - 1. Let z(h) = 85*h**2 - 6*h - 2. Determine -3*a(r) + 2*z(r).\nAnswer: -82*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2335.\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1319519\/196 - -6732. What is the common denominator of k and -41\/52?\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 8:24 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4*(4\/(-8) - -2). Is j\/(-2) + (69 - -7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78895597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2500\/76800*(-34)\/20 and 89\/6?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w - w**2 + w)*(21 - 68 + 8)*(2 - 1 + 0) in the form b*w**2 + s + n*w and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-75)\/(-20) - (-3)\/(-24)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of p**8\/112 - p**7\/70 + 3*p**2 + 9. Factor d(k).\nAnswer: 3*k**4*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3428 not equal to 3380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 3*d - 14133, -3*d - 4*p = -p - 14139. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - ((-2)\/14 - 740\/(-35)). Let u be ((-4)\/o + 4\/(-6))*-22. Let g(k) = -3*k + 2. Let l be g(-3). Calculate the greatest common divisor of u and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 13, x: 6}. What is prob of picking 3 o and 1 x?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 72\/(-39) + 2 - (-2273)\/13. What is the lowest common multiple of 2 and (4\/(-6))\/(4 - f\/42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2, -0.09, -5, -425, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 13*a**2. What is the remainder when 23 is divided by g(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 441 + -439. Solve 0*p + 8 = -c*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22794 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 807971109 and 3817.\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 213127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 12*j - 23. Let r be z(9). Which is greater: r or 50\/7?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of -3*m**4\/4 - 8*m**3\/3 + 9. What is the third derivative of y(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 9 + 15. Let f be u\/(-4)*4\/3. Let o be 2 - (-3)\/(-5 - f). Solve 3*a = -3*k, -4*k = -9*k - 4*a + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**(-2)*g))**(1\/10))**(-1\/55) assuming g is positive.\nAnswer: g**(-1\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22842, -22874, -22928, -23004?\nAnswer: -23102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q - 11. Let w be k(-8). Put -3, 1, w in increasing order.\nAnswer: -3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 343*s**2. Let j(i) = 14*i + 24. Let y(t) = 9*t + 15. Let v(m) = 5*j(m) - 8*y(m). What is v(g(q))?\nAnswer: -686*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**2 - 626*y + 165*y - 448*y + 126*y to w*y**2 + b*y + n and give b.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 224 - 208. Solve -19*t = -15*t + b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (2 + 3)) + 3 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101 = 6*o - 71 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z + 49. Let s(h) = 2387*h**2. Give j(s(w)).\nAnswer: 4774*w**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 268\/20)*(-10)\/(-2). Let j = p - -105. Does j = 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - (-9 - -6)) + 2 + -6. Which is smaller: -3\/173 or h?\nAnswer: -3\/173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-1\/34)\/v*v*v**20 assuming v is positive.\nAnswer: v**(679\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.948 - -0.118. Let r = q + 55.83. Let x = 54.99939 - r. Round x to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9935105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 133430\/13 and 10265 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*k**2 - 87 + 5*k**2 + 6*k**2 - 6*k**2 in the form j + s*k**2 + p*k and give j.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.15813241 minus 0.1?\nAnswer: 1.05813241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 595.2 + -599.2. Suppose p - 3*p + 10 = l, -5 = -p - 3*l. What is the nearest to -1 in p, -0.19, 2\/3, n?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 412242.1 to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 320 + -308. Solve -3*q + s*q = -45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-9)\/(s\/(s**(2\/17)\/s*s)))\/(s*s*s**(-1\/16)\/s*s)**(2\/15) assuming s is positive.\nAnswer: s**(-20687\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2163578477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 122 - 61 = -5*m, 11*r = -4*m + 2319. Which is smaller: 212 or r?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 50 + -40. Suppose -t*i + 2514 = -7*i. List the prime factors of i.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -1, -121, -5 in ascending order.\nAnswer: -121, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 227812, 455622, 683432?\n\"Answer: 227810*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 74 - 517\/7. Suppose -5*q - 5*t - 40 = 0, 3*q - 5*t = 4*q + 20. Let k be -1 + -1 + -1 - q. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 28582, 28579, 28576, 28573?\n\"Answer: -3*f + 28585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 - 7*u**2 + 6*u + 15. Let t = 15 - 22. Determine l(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + d**2 + 2*d + 4. Give q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 182 = 2*v, 4*v - 2*n + 176 - 564 = 0. Let g = 716 - 473. Let f = g - v. Calculate the highest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157848\/7 bigger than 22551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -h + 8. Suppose 0 = -3*i + 2*k - 13, h*i - 2*k = -k - 8. Is -3\/14 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 433964*i**2 + i - 433934*i**2 + 2 + 4*i - 5*i.\nAnswer: 30*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do 64 and -10178390 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 9.8, 44, -1.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33\/4 + -313\/36. Suppose -2*b - 2*p + 10 = -7*p, b = 4*p + 8. Is s at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, d: 2, i: 1, q: 2, w: 6, s: 1}. What is prob of picking 1 s and 1 w?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12.93 - -0.07. Let l = n - 8. Let r = l - 4. Sort 3, -3\/2, r in decreasing order.\nAnswer: 3, r, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 8:04 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24042023314 - 4?\nAnswer: -24042023323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of 0*r + 89*r**2 + 0*r**3 + 1\/4*r**4 + 0. Let l be (1 - 0)*-1*4. Calculate h(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1681326?\nAnswer: 2, 3, 93407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 10110010110001111110001100?\nAnswer: -10110010110001111110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 b, and 1 m when three letters picked without replacement from {b: 2, j: 1, m: 10, a: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -12b (base 12) in base 3?\nAnswer: -20122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5426886 - 598*t**2 - 367500*t - 26864386 - 4*t**3 - 1502*t**2.\nAnswer: -4*(t + 175)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 2*s - s)*(-5 + 5 + s) + (-3*s**2 + s**2 - 2*s**2)*(0 - 1 - 1)*(139 + 92 - 4).\nAnswer: 1815*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence na when two letters picked without replacement from {a: 3, n: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001282099 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -499*524.\nAnswer: -261476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24420*s - 24406*s + 50 = 2*w, 0 = 2*w + 5*s - 107 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*t**2 + 10*t**2 - t**2 + 3*t**3.\nAnswer: 3*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**2)\/((q*q\/(q\/(q\/q**(-16))))\/q*q)*q\/((q**(-5)\/q)\/q)*q\/(q\/(q*q*q*((q**(1\/5)\/q*q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2*((-2998)\/10 - (-4)\/(-20)). Suppose 560 = j + 3*h, 5*j - 4*j - 5*h = q. Suppose -y = -0*y - 4*l - 160, -4*y = -3*l - j. Is 40 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23753207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 418791468 to the power of 1\/3, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36294920?\nAnswer: 2, 5, 23, 39451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -22 + (9 - 5) + -24 + 20 + 54\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 50\/9  (b) -75  (c) 4  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 - 15. Let l be 14\/(((-32)\/a)\/4). Let z(n) = n + 10. Let g(w) = 1. Let j(r) = 6. Let d(s) = -15*g(s) + 3*j(s). Calculate l*d(y) - 2*z(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 24780591 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2415 and 3105?\nAnswer: 21735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -230 + 234.1. Let b = u + -3.8. What is the smallest value in 0.2, 0.5, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*b - 1606 - 1626 = -3432 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 58*u - 201. Calculate i(7).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mrm when three letters picked without replacement from rmmrmrmrmrrr?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*h + 2*m - 2563 = 0, 2*m = -h - 503. Let y = -511 - h. Solve 2*q = -y*n + n - 5, 20 = 5*q + 4*n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 AM and 12:03 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -326\/93 bigger than 38\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 3*h = h - 636, 0 = 3*t + 4*h - 946. Suppose -t = -5*n + 3*n. Calculate the common denominator of 4\/(-18) - n\/18 and -47\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*g**2 + g**2 + 2*g**2)*(293 - 493 + 254) in the form d*g + y*g**2 + h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 973853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -48, -80, -130, -204, -308, -448?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 3. Solve -j - j + 16*j**z - 28*j**3 - 4*j**3 = 0 for j.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 302*a - 1112*a + 45757 + 31193 = 0 for a.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -0.2, -2\/3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -332*w**2 - 153*w + 153*w.\nAnswer: -332*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*g + 3*g. Let v(u) = 2*u**3 - 4*u**2 - u + 3. List the prime factors of v(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the third derivative of -s**9\/7560 + s**6\/180 + s**5\/12 - 5*s**2. Let d(b) be the third derivative of i(b). Differentiate d(k) wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1279 by -1279.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -70*a**5 + 23*a**2 - 77*a - 17. Let j(v) = -23*v**5 + 8*v**2 - 26*v - 6. Let x(u) = -6*g(u) + 17*j(u). Find the third derivative of x(d) wrt d.\nAnswer: 1740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 6*z**4 + 339*z**3 - 1626*z**2 + 1281*z = 0?\nAnswer: -61, 0, 1, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of 12*m**3 + m + 9. Let v be s(1). Calculate the greatest common divisor of v and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-88)\/(-11) + (-2 - -15). Suppose 0*g - g - 16 = 0. Let i = h - g. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 16*x - 4. Let s be z(-5). Let c be ((-8)\/(-3))\/((-8)\/s). Let w(l) = 307*l - 4465. Let i be w(15). Calculate the highest common divisor of c and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16202415 is divided by 1256?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**2 + 67*g\/2 - 45\/2.\nAnswer: (g + 9)*(8*g - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -152370 + 248300. What is k rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from qqyq.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9678172289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*j*x**2 - 464*j*x + 22252*x**2 + x wrt j?\nAnswer: 5*x**2 - 464*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seventy-seven fifths of a century?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 + 14*a + 6. Let j be l(-14). Suppose 5*m - 1 = 5*h - j, -4*h = -4. Let k be (5 + 1 - -7)\/1. Solve -4*g + 24 = 2*i, m = 5*i - 2*g - k + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dpp when three letters picked without replacement from ppdxd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2112*q**3 + 2*q**2 + 5*q + 2. What is the tens digit of a(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14245669 to the nearest integer?\nAnswer: 3774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vgkhh. Give prob of picking 1 g and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35399.02 nanograms to grams.\nAnswer: 0.00003539902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o**2 - 12352*o - 49344 = 0. Calculate o.\nAnswer: -3084, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.5, -4, -3\/38?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of 19*s**4\/2 - 46*s**3\/3 - 81. What is the third derivative of v(z) wrt z?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1276*l**2 + 3182*l**2 - 832*l**2.\nAnswer: 1074*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j*(j*j**1*j*j)\/j*j*j*j*j))**20\/(j**(-2\/3))**(1\/16))\/(j**(-3\/4)*j*j**1*j)**(-3) assuming j is positive.\nAnswer: j**(-3677\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -8\/5  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/5  (b) -68.5  (c) -1  (d) 2  (e) -1\/35  (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6.8 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 981*k - 28857 = -10*k + 20693 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 AM and 12:27 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x - 14. Let n be y(8). Suppose 4*k - n = -2*j, 4*k - 3*k - 8 = 3*j. Let f(a) = -4*a**2 - 6*a + 2. Let v(l) = l**2 + l. Determine j*f(z) - 5*v(z).\nAnswer: -z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 11400 divided by -114\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g = 2*w + 15 - 7, 0 = 4*w + 258*g - 254*g + 88 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -9. Suppose -10 = o*a - 45. Suppose a = 3*r - 8. Solve -g - 4 = -r*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1112 (base 3) to base 16\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1000204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 630 and 290640.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from euooedcn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 - 7*o - 4. Let i be j(-6). Let h(n) = -151*n + 931. What is the remainder when (-47)\/(2 - 1 - i) is divided by h(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2146629734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -489 minus 380.815?\nAnswer: -869.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0093206 meters to centimeters.\nAnswer: 0.93206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*z + 73 - 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of 0*j + 0 - 8*j**2 - 1\/6*j**3 - 1\/24*j**4. Let q be c(4). Let g(f) = 3*f - 1. Calculate g(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-106)\/(-99) + 18\/(-261) + 94\/522?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 103823672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -2, -1, -14 in decreasing order.\nAnswer: 5, 4, -1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 7*s + 116. What is i(16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -262 in 4, 33, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of d**6\/30 - 17*d**5\/5 - 35*d**4\/2 - 106*d**3\/3 + 2*d**2 - 9. What is f in t(f) = 0?\nAnswer: -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1160?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/18)\/((-6)\/54). Suppose -v*x = -5*k - 5*x + 3, 4*x + 16 = 0. Solve a - k = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 6:58 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -11*p + 49. Let z(w) = -33*w + 147. Let i(r) = -7*b(r) + 2*z(r). What is the remainder when 80 is divided by i(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -82 + -55. Let t = m + 254. Let d = t - 81. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8523?\nAnswer: 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 971 is divided by 136?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 580907 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1951 = 193*k + 207 + 544 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -60a1a + -283?\nAnswer: -611a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 55 * 10.62\nAnswer: 584.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(9604\/312 - 711\/6162).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -66, 0, 4, 9 in descending order.\nAnswer: 21, 9, 4, 0, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8799433611 and 0.752?\nAnswer: 8799433610.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 6 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5993*2428.5\nAnswer: 14554000.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t + 14450 = -1774. Which is smaller: t or -1356?\nAnswer: -1356","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1699.9485 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62699, -250531, -563585, -1001861, -1565359, -2254079?\nAnswer: -3068021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d - 12. Let m be v(8). Solve 0*f + 4*f - m = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 103*x + 57. Let p(t) = -18. Determine -o(d) - 3*p(d).\nAnswer: -103*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 - 39.9. Which is the nearest to y?  (a) 0.4  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 240 = 2*y. Let k be ((-10)\/(-4))\/(25\/y). Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -8*l. Let n be (-1)\/((6\/2)\/3). What is the units digit of h(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*y + 661 + 10233. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 138*d - 15. Let k be g(2). Let m be (-16)\/(-24)*(1 - 64). Let c be 603\/21 - 12\/m. What is the greatest common divisor of k and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/13))**(3\/5)\/(b**(-7)\/b*b**(-3\/2)) assuming b is positive.\nAnswer: b**(1223\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 16 = 4*b, -5*o - 3*b + 118 = 0. Solve o*s = 15*s - 44 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) -1\/6  (c) 0.004  (d) -0.03  (e) 0  (f) 4.09  (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/162 and 37\/10.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1697 (base 12) in base 7?\nAnswer: -10615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 535986589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14833*c - 1924*c - 238*c - 1475*c - 2511920 = 0 for c.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of 0*p**2 - 1\/2*p**4 - 9 + 4\/3*p**3 + 0*p. Solve z(i) = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**4\/(c*c*c**(2\/33)\/c*c*c)*c**18*(c**(-13)*c)\/c assuming c is positive.\nAnswer: c**(196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of n**5\/570 - n**4\/57 + 40*n**2. Suppose v(m) = 0. Calculate m.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43 + 146 + 51*u - 90 - 122 - 23*u - 2*u**2 to g + o*u**2 + y*u and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 m when three letters picked without replacement from mmmaavmmamamammmaamm.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u = 3*u - 2*z + 3, -6*u - 7 - 2 = -11*u - 2*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 4*b - 32 = 0, 3*b + 948 = 972. What is the fourth biggest value in 0.159, -4, p, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 12. Let b(l) = -32*l**2 - 4*l - 15. Let z(f) = -63*f**2 - 7*f - 32. Let r(a) = -9*b(a) + 4*z(a). Calculate the remainder when r(-1) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/(-24) + -1)*27\/(-12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 19 + 59 = 0. Let w(k) = 4*k**2 - 61*k - 23. Let y(q) = q**2 - 20*q - 8. Let t(g) = -2*w(g) + 7*y(g). Is 7 a factor of t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -11*o**2. Let q(p) = -14*p**2 - 9. Let d(j) = 27*j**2 + 21. Let f(t) = 3*d(t) + 7*q(t). What is f(y(u))?\nAnswer: -2057*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r - 3. Let g(v) = -v + 2. Let x(k) = 3*k - 6. Let m(d) = 9*g(d) + 2*x(d). Calculate 5*f(o) + 3*m(o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/3 - 1002*z**2 - 625779*z + 198716364.\nAnswer: -(z - 228)*(z + 1617)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -0.7, 17346, 3, -2\/11, 0.32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -148*j - 7748 + 7452 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20768 + 20766. Put r, 3\/193, -4\/7 in decreasing order.\nAnswer: 3\/193, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 + 26 + 21 - 52*s - 1222*s**2 + 1224*s**2 as l*s + g*s**2 + h and give l.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i**4 + 7*i**2 + 4*i**3 - 5*i**2 - 7*i**3 - 4 + i - 10*i**3 to z*i + a*i**3 + n*i**4 + m*i**2 + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2699, 2759, 2933, 3281, 3863?\n\"Answer: 10*s**3 - 3*s**2 - s + 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 6:09 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = -4*v - 38. Suppose -2*x - v = 7. Calculate the remainder when (-2)\/x - (-3836)\/77 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 + 14*o + 11. What are the prime factors of x(12)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of 3\/4*g**4 + 0*g + 0 - 35*g**2 + 31\/6*g**3. What is the derivative of p(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 3*y - 2*y)*(y + y - 3*y) + (1 - 1 + 2*y)*(0 - 2 - 2)*(37*y - 1060 + 1060).\nAnswer: -295*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -2993610.\nAnswer: 5987220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -155948 divided by -26\nAnswer: 5998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1830389 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2840 + -2022. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32037 divided by -3\nAnswer: 10679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of z**6\/120 + z**5\/30 - z**4\/24 - z**3\/3 + 6*z**2. Let d = -2 - -3. Suppose -2 - d = i. Determine a(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(95) + 2*sqrt(95))*-5)\/(sqrt(5) + sqrt(15)\/(sqrt(12)\/sqrt(4))).\nAnswer: -15*sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -615602.884 rounded to the nearest one thousand?\nAnswer: -616000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4*(-420)\/126*(-35)\/(616525\/78).\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 555068137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 88 + -59. Suppose -f = -2*f + z. Suppose 5643 = -42*t + 75*t. Calculate the remainder when t is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -813 divided by 300\nAnswer: -271\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25233629, -25233641, -25233661, -25233695, -25233749, -25233829?\nAnswer: -25233941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 8*q - 1. Let a be t(2). Suppose 2*i + 3 = a. Which is greater: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119982757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 - 15 - 12 - (-3 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 1885 divide 159797105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -15*h**2 + 3*h + 3. Let v be p(-2). Let n = v + 110. Calculate the remainder when n is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18970)\/(-271)*1\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 14) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 62 + -43. Let f = -15 + c. Solve 4*m = -m, m - 4 = f*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -445*h + 543*h = 0. What is the fourth biggest value in 56, -4\/3, h, -4, -0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-4)*(-5 + 1). Suppose -n - w = 5*u - 13, -u - 3*n + 2 = 0. What is the first derivative of u + b - 4*b + b - 3 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 808624991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -785\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2586 + -2496. Solve 8 = -98*i + t*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + 2*(-1)\/2. Suppose 5*p = 3 + 2. Sort 3, n, p in decreasing order.\nAnswer: 3, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - f + 5*v + 50, -2*f - v = -50. Let k(h) = -f*h + 7*h + 8*h + 12*h. Let u(g) be the first derivative of -3*g**2\/2 + 2. What is k(u(y))?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 362 divided by -14\nAnswer: -181\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + 4 + (2 - 6). Let j be (-1)\/(-1)*((-4 - -2) + 3). Is j >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, 3, -6810 in decreasing order.\nAnswer: 21, 3, -6810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 7 + 5, 3*l + 34782 = 3*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 478, 551, 622, 691?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 669 - 532. Suppose 0 = 144*j - w*j - 154. Solve -2*u + 12 = 2, 2*u - j = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*v + 39*v - 10*v + (0*v - 2*v + 3*v)*(-5 + 3 + 1) + 6*v - 18*v + 2*v + 2.\nAnswer: 12*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 - -26. Let a be (0 - 0 - -2) + -2. Suppose -4*u + 5*r + 97 = a, u - 5*u - 3*r = -57. Calculate the lowest common multiple of u and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1115817 (base 10) to base 14.\nAnswer: 2108d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3*r**2 + 15*r - 36. What is the tens digit of w(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/1 - 4 - -1. Suppose u - f*u = -6. Calculate the remainder when 11 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -372506200431 and -0.01.\nAnswer: -372506200431.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2004 + 10?\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h. Let p(a) be the first derivative of -2*a**3\/3 - 10. Calculate p(n(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/7 - 300*a**2\/7 + 909*a\/7.\nAnswer: -a*(a - 3)*(a + 303)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29216313 is divided by 1947753.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17348 + -6219. What are the prime factors of c?\nAnswer: 31, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0, 86, -163, 4\/9, -5, -6?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**2\/5 - 164980*j + 1649808\/5 = 0. What is j?\nAnswer: -412452, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (0 + -5)) + (1 - (9 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -17*k - 4. Suppose -2 = 2*w, 7*l + 2*w = 8*l - 140. Calculate the remainder when l is divided by a(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 9*f**2 + 97*f - 142. Determine r(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 10*v + 3. Let z(s) be the third derivative of s**4\/24 + s**3\/6 + 22*s**2 - 2*s. Determine 2*m(x) - 6*z(x).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + -2c97?\nAnswer: -2c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of 1481*d**8\/336 + 527*d**5\/60 - 10*d**2 + 50*d. What is the third derivative of w(k) wrt k?\nAnswer: 88860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36086266200 rounded to the nearest 1000000?\nAnswer: -36086000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 1. Suppose 74 = 3*b + 4*h, q*b - 5*h - 29 = b. What is the lowest common multiple of b and (12 - (-8 + -3)) + -9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**2\/8 + 631315*o\/4 - 1262631\/8 = 0.\nAnswer: -1262631, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-63)\/(-14))\/(2\/(4064\/6)). Suppose -c = -6*s + 456. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -304522*y**3 + 33875*y**2 wrt y?\nAnswer: -1827132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*r - 707 = -126*r + 4233. What is the remainder when 89 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*(v*v*((v*(v\/(v**(-11)\/v))\/v)\/v*v)\/v*v)\/v)**(-50))**(-2\/77))**(-2\/51) assuming v is positive.\nAnswer: v**(-1000\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -83298 + 117319. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 215*m**4 + 251*m**4 - 467*m**4 + 9 - 38*m**2 to o*m**3 + t*m**4 + i + k*m**2 + u*m and give k.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/5, 0.5, 926\/7, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -1 + 0 + 2 - 2. Let d(n) = 7*n - 8. Let f(t) = d(t) - 3*m(t). What is the first derivative of f(g) wrt g?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10196*n - 6*n**3 + 10196*n + 6 + (3 - 3 + n)*(3*n**2 - n + n) - n - n**3 + n.\nAnswer: -4*n**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**14*h*h**(-7))**(-43) assuming h is positive.\nAnswer: h**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g + 88 = -4*p, -75 + 110 = -p + 3*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 400 and 25744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -3*f**2 - 481*f + 7901. What is the smallest common multiple of g(15) and 0*2\/4 + 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -47. Suppose 45*p = o*p. Solve p*x = -2*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2394531 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {w: 2, g: 1, b: 1, q: 2, p: 1, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - q + 0)*(-1 + 2 + 1)*((-q - 2*q + 5*q)*(0 + 2 - 1) - 3*q + 5*q + 5*q)*(-2 - 1 + 2)*(-5 - 6 + 4) to y*q + v*q**2 + s and give v.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.46 - 0.46000106. Round u to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/7 - (-492)\/7) + -2. Suppose h = 13*c - 12*c. Suppose 266 - c = 3*j. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from hhx.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*c - 20 = -6*c. Put 4, 1, c in descending order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4862)\/26928 + 1\/8)\/((-30)\/(-40))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/17040 and 103\/320.\nAnswer: 68160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*m = 34*m + 9. Suppose 0 = -2*x - x + 30. What is the units digit of 5\/x*0 - m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - 19*w**2 - 82*w - 269. Calculate the remainder when h(-15) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83631133.\nAnswer: 1423, 58771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/20320 and -39\/64372.\nAnswer: 327009760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bnqlbquqll. What is prob of sequence qun?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -4*o**3 - 3*o - 18. Let w(n) = -n**3 + 2*n**2 - n + 2. Let z(t) = 7*t**3 - 8*t**2 + 6*t + 9. Let m(s) = -4*w(s) - z(s). Determine -2*l(p) + 3*m(p).\nAnswer: -p**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (2060*b - 1459*b - 1320*b)*(2*b**2 - b**2 + b**2) + (2*b + 2*b - 3*b)*(2*b**2 - 2*b**2 + 2*b**2) as l*b**3 + q*b**2 + z*b + t and give l.\nAnswer: -1436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -531, -2681, -6453, -11847?\nAnswer: -18863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1010 + 1421. Suppose -3*f + 2*f - 250 = 0. Let v = f + z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of -a**3\/6 - 2*a. Let z(n) = 4*n + 13 - 4 - 9. What is z(p(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 297*f - 566*f - 485*f in the form z*f + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -1544119\nAnswer: -3\/1544119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 - 7*b + 10. What is u(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -1\/22477790 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 greater than or equal to 437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 20*k + 21*k - 195, m - 3*k + 25 = 0. Sort 4\/3, 4, 1\/2, m, -1.\nAnswer: m, -1, 1\/2, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(-12))\/((-10)\/18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -294*r - 188. Let c(z) = -49*z - 30. Let q(h) = 25*c(h) - 4*i(h). Let o(g) = 12643*g - 517. What is -2*o(k) - 517*q(k)?\nAnswer: 47*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 26845 divided by 5?\nAnswer: 5369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14\/56 - (-675)\/4. Suppose 4*o + a = 65. Find the common denominator of -62\/9 and 18\/(-6)*(1 + o\/66).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, f: 5, l: 7}. What is prob of picking 3 l?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 2*d + 1. Let v(s) = -s**3 - 5*s**2 + 15*s + 5. Let k be v(-7). What is l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -8*c**2. Let y be 6\/(-7)*(-1 + -27) - 4. Let a(n) = -11*n + y*n - 5*n. What is d(a(f))?\nAnswer: -128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/12 and 83\/14288.\nAnswer: 42864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of -37*a**7\/3 + 37*a**4\/2 + a**3\/3 - a - 159. Find the third derivative of s(d) wrt d.\nAnswer: -31080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + i + 2*i = -9, 0 = -6*v + 2*i + 38 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 12 = -v. Let o be (0 + 38\/(-12))\/((-1)\/2). Let y = o - 35\/6. Which is the biggest value?  (a) y  (b) v  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 22, -2, 0.05.\nAnswer: -2, -2\/5, 0.05, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = 4*d - 3*j + 15, -9 = -2*d + 3*j. Solve d = -2*c + 4*t - 2, 14*t - 18*t = -8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u - 48 = -3*u. Factor -221*k**2 + 221*k**2 + 0*k**4 - k**u + 9*k**3.\nAnswer: -k**3*(k - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.7, -1\/9, 12, 5\/18?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12800658*r**3 + 1392709.\nAnswer: 38401974*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f**3 - f + f + (-3*f - 3*f - 3*f)*(f**2 - 2*f**2 + 0*f**2) + 0*f**3 + 3*f**3 - 2*f**3 + f**3 - f**3 + 2*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqqd when four letters picked without replacement from {d: 2, x: 1, w: 2, q: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {v: 3, g: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 286055106464 - 34.\nAnswer: 286055106430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.7145 - -0.7075. Which is the smallest value?  (a) s  (b) 4  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**4 - 836*h**3 + 4048*h**2 + 6720*h - 39168.\nAnswer: 4*(h - 204)*(h - 4)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1036 = -2*l + 4*b + 1050, 2*l + 2 = -4*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -3. Let i be (-964)\/7 - (-3 - -1). Let d = -136 - i. Which is the nearest to d?  (a) 0.5  (b) 0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, 54, 169, 370, 681, 1126, 1729?\nAnswer: 2514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -12\/13, 256, -0.4, 3.6 in descending order.\nAnswer: 256, 3.6, -0.4, -12\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 795960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(3078) - sqrt(3078))\/sqrt(2) - -3*sqrt(209)\/sqrt(396)) + 0.\nAnswer: 19*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of -w**5\/20 - w**4\/4 + 3*w**3\/2 - 5*w**2\/2 - 11*w + 2. Let c be g(-5). Which is greater: -1\/21 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 1098757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 4*p - 2*r - 17, -p - 8*r - 13 = -4*r for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of 2*o**5\/15 + 3*o**4\/8 - 3*o**3\/2 - 10976*o**2. Determine d(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u - 35. Let n be m(15). Let k be (-3)\/2*(3 - (n - 1)). What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + (-351)\/51 - 4\/34. Let n(x) = -x**2 - 7*x + 23. Let k be n(a). Suppose -6*d + 5*d = -k*d. Solve 0 = 5*h + 2*v + 2 - 28, d = h - 3*v + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d**3 + 2*d**3 + 2*d - 2*d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 6555 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -8494, -16986, -25478, -33970?\n\"Answer: -8492*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6233 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -4*s - 2. Let p(h) = -h**2 + 10*h + 5. Let w(k) = -5*g(k) - 2*p(k). Let c(o) = -3*o**2 + 2*o**2 - 2*o**2. Give c(w(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 + 11*o**2 + 14*o + 15. What is the thousands digit of z(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14574*q + 11296*q - 21800539 + 75866*q**2 - 75871*q**2 - 11662306.\nAnswer: -5*(q - 2587)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 x when three letters picked without replacement from {l: 1, k: 3, h: 3, x: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -51*n**2\/5 - 483*n\/5 - 216\/5 = 0.\nAnswer: -9, -8\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 5:26 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 3*f = 6. Let l = 35 + f. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(5)*1 + -4)*-1*4)**2.\nAnswer: -288*sqrt(5) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294192 is divided by 3133.\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - 0 - -6 - (-308)\/(-66). Factor 1\/3 - 1\/3*v**2 + 1\/3*v - x*v**3.\nAnswer: -(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57567 is divided by 7194?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64015?\nAnswer: 5, 7, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nwwswnwswwowoowwnwww. Give prob of sequence onn.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001854 rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**3 + 0*j**3 - 2*j**3)*(2*j + 0*j - 4*j)*(5 + 2 - 14).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -95, 3, 22, -3, 5, -13 in descending order.\nAnswer: 22, 5, 3, -3, -13, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -k**3\/2 + 4*k - 507. Let z(q) = -6481*q. Give z(x(d)).\nAnswer: 19443*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-45)\/(-20))\/(9\/(-48) - 0). Let s = -73 - -59. Is s bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/8  (b) -18  (c) -5  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62053915, -62053912, -62053909, -62053906?\nAnswer: -62053903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2933, 1, 9 in ascending order.\nAnswer: -2933, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.46 and 41643?\nAnswer: -310656.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-4)\/4*3 - -180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(931) + 1 + -5 + sqrt(931) + sqrt(931)*-3 + sqrt(931) + -1 + sqrt(931) + -4)**2)*5.\nAnswer: -630*sqrt(19) + 5075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.011, -2\/9, 1\/4, 0.09?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41 - -20. Let h be c*3 - -1*2. Let p = -39 - h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 4*r**2 - 16*r + 22. Let a(m) = -2*m**2 + 8*m - 12. Let y(u) = -5*a(u) - 3*z(u). What is k in y(k) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 819985711 a multiple of 2264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5995\/6 + 42163\/42. What is i in -u + 36\/7*i - 3\/7*i**2 = 0?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224*q = -869 + 5573 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19520*z + 158097*z + 51768*z.\nAnswer: 229385*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -198 + 429. Let u = l - 1622\/7. Which is the fourth smallest value?  (a) -4  (b) -3  (c) 3\/5  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 AM and 6:44 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/4*(2 - 7). Let x be (-1)\/a + 8224\/80. Let g = x + -103. Solve g = 4*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 339991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -493423*d + 986836*d - 493413*d + 13*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 29619 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3*q - 5*q + 5)*(-7*q**2 + 0*q**2 + q**2).\nAnswer: 12*q**3 - 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/1681740 and 36\/46715.\nAnswer: 1681740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*l**4 - 238*l**2 + 3495?\nAnswer: -8*l**3 - 476*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.8949 and -1?\nAnswer: 2.8949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 11*h**2 - 2. Let o be 474\/1185 + (-8)\/(-5). Let i(b) = -12*b**2 - b + 3. Calculate o*i(f) + 3*x(f).\nAnswer: 9*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75.76 + -53.\nAnswer: 22.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 60.5 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -4*o - 13, 3*w + 0*o + 12 = -o. Suppose 0*l = 4*l - 3*z + 1, -5*l = -5*z. Let x = l - w. Solve 4*j = -x*m + 12, 2*m + 1 = 2*j + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 156760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 277\/139 + -104815\/56712. What is the common denominator of -46\/459 and x?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 5*y - 3. Is r(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/297 and 23\/203247?\nAnswer: 609741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3 = -g + 7, 12 = 4*g. Suppose -o - 3*o + 8 = 0. Let f be t*(2 - o) + 5. Solve -8 = -3*m + m, 0 = -5*a + f*m - 40 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 47*j + 755. Let m be y(-16). Let v(r) = r + 4. Let o be v(-5). Which is the nearest to o?  (a) m  (b) -2\/5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 70*i - 43 + 67*i - 138*i to the form t*i + w and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 185*f + 4159. Let c be k(-22). Solve 5*p + h = -13, -c + 95 = 3*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-95)\/(-57))\/(8\/(-12)*1\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 PM and 11:01 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 18 = 4*j, -6 = 4*k + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -3*b**5\/5 - 2505*b**4 - 12258063*b**3\/5 - 4541146863*b**2\/5 - 570991109106*b\/5 + 718418387808 = 0.\nAnswer: -2960, -407, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0039522 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 108275 and 378444?\nAnswer: 671738100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = g - a, -22 = -61*g + 66*g - 3*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 4*r + 10, 0*r = -r - 4. Calculate the lowest common multiple of x and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30474851 a multiple of 1123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 9*n - 10. Let i(q) = q**2 + 8*q + 9. Let v(j) = -7*i(j) - 6*z(j). Determine v(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.05  (b) 0.3  (c) 25  (d) -4\/165  (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13305*l**2*q**3*v - 114*l**2 + l*q**3*v - q**2*v - 45*q*v wrt q.\nAnswer: 79830*l**2*v + 6*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + -368?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -4 - 3*b + 5*b - 3*b + 4*b**2. Let w(r) = -r**4 + 11*r**2 - 3*r - 11. Let d(x) = 11*q(x) - 4*w(x). Find the second derivative of d(f) wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**3\/7 + 258*v**2\/7 + 4750*v\/7 + 642 = 0?\nAnswer: -107, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 114700 + -26?\nAnswer: 114696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75, -52, -17, 36, 113?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*263\/(-3)*-3. Let y = u + -186. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 48 = -7*x. Suppose r - x = -3*r. Solve r*h - 4*q = -0*q - 8, 0 = -3*h + 2*q - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 122 = -2*s + 3*d, -2*d + 300 = 4*s. What is the remainder when 3693 is divided by s?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of -71*g**7\/210 - 41*g**4\/12 + 2*g**2. Find the second derivative of n(t) wrt t.\nAnswer: -852*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 364 and 222313.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -4\/7*j**2 - 4\/7*j + 8\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1621532 and 318747599?\nAnswer: 320369131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 113.2825 to the nearest integer.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 140\/(-36) + 372\/54 + -7. Let r(i) = 4*i**2 + 7. Let x(n) = n**2 + 2. Let l(k) = -2*k**3 - 4*k**2 + k - 1. Let m be l(-3). Determine m*x(h) + s*r(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 54789 divided by 81\nAnswer: 18263\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 807794.3 millennia to years.\nAnswer: 807794300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3032\/7 + 15223\/35. Factor m*j**5 + 12*j**2 - 54\/5*j**3 - 11\/5*j + 2\/5*j**4 - 6\/5.\nAnswer: (j - 1)**3*(j + 3)*(9*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g**3\/3 - 9517*g**2 - 13586945*g - 8151025\/3 = 0. What is g?\nAnswer: -2855, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-856)\/321)\/((-2)\/2946)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -49.8 times -8?\nAnswer: 398.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 133 - 81. Suppose 1 = -h + 7. Suppose -b - 90 = -h*b. What is the remainder when i is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {e: 9, i: 11}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25670 and 1402790?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 3 = -2, 226 = -2*m + 4*j. What is the remainder when 2\/((-2)\/m) - -3 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 + 338692.21765366.\nAnswer: 338702.21765366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**4\/2 - 621*z**3\/2 - 34615*z**2 + 106026*z - 71100 = 0. What is z?\nAnswer: -474, -150, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*p - 188730 = -5*s, 5*s - 188736 = p. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*l - 21*l - 360. What is the smallest common multiple of l and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02705379 to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 4*l**2. Suppose 5*x + 3*q - 11 = -116, q + 42 = -2*x. Let n be ((-2)\/(-3))\/((-7)\/x). Let h(u) = u**2 + 5*u - 2*u**n - 5*u. Calculate p(h(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29.5 - 29.79. Put b, 3, 0.4, 0.5 in increasing order.\nAnswer: b, 0.4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0494?  (a) -5  (b) 0  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -168 - -79. Let x = 111 - d. Calculate the greatest common divisor of 175 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2472*f*s**3 - 31*f*u + 829*f + s**3 - 3*s**2*u wrt s?\nAnswer: 7416*f*s**2 + 3*s**2 - 6*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.002 + 0.138. Let o = -0.077 + d. Let r = o + 0.437. What is the smallest value in -0.5, r, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41293.\nAnswer: 7, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 5 = -w - 16, -5*w = -l + 19. What is the highest common divisor of l and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90488 times 9?\nAnswer: 814392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18?  (a) -5  (b) -4  (c) 1  (d) -86  (e) 256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5 = 5*j, -4*j + 1 = -3. Find the third derivative of 0*x**2 + 10*x**3 + 2*x**2 + c*x**2 - x**2 wrt x.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -394*p - 3542. Let a(v) = 198*v + 1761. Let z(o) = -7*a(o) - 3*n(o). What is the first derivative of z(x) wrt x?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 29589966 - -4?\nAnswer: 2958996a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2686975 and 28175?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40.76138 + 9.36009. Let q = -31.4 - x. What is q rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 390 and 175574.808.\nAnswer: 175964.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -72*y**3 + y + 1. Let k be u(-1). Suppose -4 - 53 = -3*g. Let b = g + k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2 from 11378114008.93.\nAnswer: 11378114010.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18883, -37512, -56059, -74482, -92739?\nAnswer: -110788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18180\/7 + 2597. What is the closest to -2\/3 in -44, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50277 * -43\nAnswer: 2161911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24623, 24629, 24635, 24641, 24647?\nAnswer: 24653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 727 + 14 = p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w**4 + 0*w**4 + 2 + 7*w - 453*w**3 + 223*w**3 + 225*w**3 to the form f*w**3 + b + k*w**2 + v*w**4 + g*w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -83.27359  (b) -2\/3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 17 = 4*b + d, -5*d = 5*b - 35. Let p(j) = 2*j**2 + 2*j**b - 3*j**2. Let l(u) = 3*u**2. What is p(l(i))?\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001010101000011001010 - -11?\nAnswer: -1001010101000011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 91960197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1996489231 to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -103984754 - 0.338.\nAnswer: -103984754.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 324047783, 324047781, 324047777, 324047771, 324047763, 324047753, 324047741?\n\"Answer: -x**2 + x + 324047783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-7) + 9733\/(-7). Round h to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-9 + -13) - 22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 = 8*q - 4*y, 25*y - 24*y = -4*q + 37 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -99?  (a) 2\/3  (b) 10  (c) 3\/7  (d) 1.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/7*u + 12\/7 - 3\/7*u**2.\nAnswer: -3*(u - 4)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 2*h - 8191, 5*h = -2*o + 1780 + 1509. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 168017598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1161 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 6273974?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2343753099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 15 = 8*p. Suppose -5*i - 4*a - 44 = -165, -p*a + 12 = 0. Calculate the highest common factor of 14 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 803 and 46793?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*n + 2 = 0. Suppose 4*q = -4*w + 8, 4*q = -w + n + 1. Calculate the remainder when 35 is divided by (-1)\/w - 111\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36\/25 + 156\/25. Let k = h + -183\/35. Suppose 0*t = 2*t + 4. Which is the third smallest value?  (a) -1\/7  (b) k  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 110 and 35430.\nAnswer: 389730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -65, 2, -1, -3 in ascending order.\nAnswer: -65, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*y + 40546 = 41206 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -357461\/95 equal to -3763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 + 4*y**2. Let a be l(3). Suppose t - 22 = a. What is t rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 8910905, 17821810, 26732715?\n\"Answer: 8910905*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + (47 - 72) - (-6 + 3 + 9).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 4*w + 42, -23 = 2*t + 4*w + 65. Let o(a) = 2*a**2 + 55*a. Calculate o(t).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 8) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/8 and 111\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13258 and 89018.\nAnswer: 623126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 5*y + 7. Suppose -35*v + 45*v - 50 = 0. Suppose 4*a - v*i + 10*i - 29 = 0, 2 = 2*i. What is r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of -59*r**7\/2520 - 13*r**5\/10 + 2*r**2 - 2. Let m(x) be the third derivative of f(x). Let u(v) = -v. Calculate m(u(g)).\nAnswer: 118*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33.45 - 34. What is x rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1129 divide 57934635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1009 - -16.9351. Let j = 17 - u. Let p = j - 0.015. What is p rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 5071.\nAnswer: 4\/5071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -2982*d + 2979*d, 2*d + 2 = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -13, -27, -37, -43, -45, -43, -37?\n\"Answer: 2*l**2 - 20*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 9066.023kg?\nAnswer: 9066023000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/2365*2\/4. Let q = m + 12781\/2365. Find the common denominator of q and 4\/(-14) - (4236\/(-224) - -6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60 + (28 - 142) + 98.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154 is divided by 45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4800*y - 3594*y + 837*y.\nAnswer: -7557*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -4 + -26 + 16 + 0 + 44\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 51 + -1073?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5*t**2. Let f(u) = 266*u + 38. Give x(f(z)).\nAnswer: 353780*z**2 + 101080*z + 7220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 10:47 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -319*i**2 + 319*i**2 - 3*i**4 + (-2*i**2 - 2*i**2 + 2*i**2)*(-3*i**2 - 4*i**2 + 6*i**2).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b + 8 = -2*b - s, 5*s - 10 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 41 + -1.07\nAnswer: 39.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of 0*o**4 + o**3 + 4\/5*o**5 + 0*o + 1 + 0*o**2. What is the third derivative of f(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -38*x**3 + 579*x**2 + x + 28. Let t(w) = -7*w**3 + 116*w**2 + 5. Give 2*j(v) - 11*t(v).\nAnswer: v**3 - 118*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 3*m + 462, 5*m = -1 - 19. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 949665 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*v = 112 - 148 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 68 by -68.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1040 + -103220?\nAnswer: -102130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3.1?  (a) -0.5  (b) 5  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q. Let a(x) = -28939169*x + 1. Calculate z(a(d)).\nAnswer: 57878338*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 37*d + 40*d - 9277345. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4173316 is divided by 181.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1212664 divided by -29.\nAnswer: 41816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 60, 139, 250, 393, 568, 775?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ibli when four letters picked without replacement from {b: 1, i: 2, g: 1, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 440*q - 343*q = -1746 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7568\/7095*(-3942)\/(-288)?\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.127 + 30.127. Let q = -30 + z. Let v = 17 - 25. Which is the closest to v?  (a) -4  (b) -0.5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7974.07 to the nearest one hundred.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 99640 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2422 + 3812. Round n to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -957*j**2*t - 2*j**2 - 126*j*t - 5*j - 20647878*t wrt j.\nAnswer: -1914*j*t - 4*j - 126*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3143 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 780 and 361010?\nAnswer: 2166060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.2  (b) 1.1  (c) -1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (7 + (2 - 15) - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -21, -28, -35, -42, -49, -56?\n\"Answer: -7*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 37799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-202 + 206)*(-6)\/40. What is the smallest value in g, -1\/7, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ubiicciciiccugc. What is prob of sequence uu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 135\/(-18)*(-8)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3350 + 5409. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 3203268603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 14 - 4 - 2\/1. Suppose -29*p - v = -33*p. Let w be ((p + -4)*2)\/((-2)\/1). Calculate the greatest common divisor of w and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1421919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(1377) - (sqrt(1377) + 1)**2).\nAnswer: -6890 - 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**5 - 9*u**4 + 4*u**3 + 36*u**2 = 0. Calculate u.\nAnswer: -9, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 62 - 53. Suppose -2*g - 5*y + 4*y + 106 = 0, 2*y = 3*g - 166. Calculate the highest common divisor of g and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 570880 - 4?\nAnswer: 570875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -540*u + 3 = -545*u - 3*z, 0 = -u - 4*z + 18 - 22 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 31222 - 156109\/5. Suppose -2\/5*h**2 + 2\/5 + 1\/5*h - i*h**3 = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -13 + 4ec8?\nAnswer: 4eb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3281, 6624, 10109, 13730, 17481?\nAnswer: 21356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00198983 to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 878927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuwuuuuwxuwuuu. Give prob of picking 1 u and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -87 - 40?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/7 and -41\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 45961186 and 0.707.\nAnswer: 45961186.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + 11. Suppose 2*l - 3*f + p = 0, 3*l = 5*l + 5*f - 37. Let x = l + 724. What is x rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1df48f (base 16) to base 14.\nAnswer: 391611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2571 and -1?\nAnswer: 2571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -415130\/11 + 37739. Which is the nearest to -1?  (a) w  (b) 60  (c) 7\/2  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 316 by -2.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 9*g**2 + 7*g - 5. Let d be 5*(19\/5 - -1). Suppose 0*s + 3*s = -d. Let u be k(s). Which is the closest to -2?  (a) 2  (b) u  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 2*b + 2. Suppose 3*v - 1 = t + 1, -v - 6 = 3*t. Let z be f(v). Suppose z*j + 6*j = 128. Solve 0*w - j = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.79475 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -111 + 2555\/23. Let v be -3 + (-1 - 16*(-8)\/28). Which is the biggest value?  (a) v  (b) 0.2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 9, 6 in increasing order.\nAnswer: 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*n - 6*n = -30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1330*d - 5 + 4 + 0.\nAnswer: 1330*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -10, -1, -4.\nAnswer: -10, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 AM and 10:27 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -239 + 358. Suppose -g + a - 73 = -4*g, 3*g - 77 = -5*a. What is the remainder when q is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200))**2 + (sqrt(8)*-1)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -7*j - 2. Let v(u) = 42*u + 13. Determine -39*b(m) - 6*v(m).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 1 = 3*d, 4*k - 189 = 5*d. Let b = 64 - k. What is the remainder when 89 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1707700219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + 11*i - 15. Let m = 3 + 7. Let r be h(m). Sort r, -4, 9 in increasing order.\nAnswer: r, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18593 - -55777\/3. Which is the nearest to p?  (a) 27  (b) -1.2  (c) 5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 34. Determine z(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/5)\/l**36*(l\/(l*l\/(l*l**36\/l)))\/((l**(-4)*l)\/l) assuming l is positive.\nAnswer: l**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1312528939 less than -48.4911?\nAnswer: -1312528987.4911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35912 + 1\/2*m**3 - 132*m**2 + 8442*m.\nAnswer: (m - 134)**2*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d4 (base 16) to base 7.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**2. Suppose -2*n + 0*z + 2*z - 14 = 0, 0 = -n - 5*z + 5. Let s(g) = -3*g**2. Give n*s(c) + 6*d(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -2867 greater than -2867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 5, -4, -195\/14, 645\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 87521 greater than or equal to 87520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 559 + -558. Solve -h = -8*t - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 71 - 72. What is the closest to 0.2 in 0.1, x, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 12:34 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1924238622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 562748977 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 74985 + -18896267\/252. Find the common denominator of 101\/36 and n.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -22 + 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2 + 20*z - 11*z + 0 + z**2. Let g be d(-7). What is the tens digit of g\/(-42) - (-292)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m - 3. Let k be d(5). Let t = 2 - k. Let l be 153\/(-102) - 22\/(-4). Solve t = -l*o - o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -14*h**6\/15 + h**5 + 2*h**4\/3 + 5*h. Solve s(u) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.103036 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - v**2 - v + 12. Let j = 10 - 10. List the prime factors of f(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**3 - 52*m**2 - 312*m + 4320 = 0.\nAnswer: -9, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.095 + -0.415. Let q = p - -0.3177. What is q rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h + 275 - 194 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 4*b - 18 - 86 = 0, 3*b + 148 = 4*v. Suppose v = 5*j - f + 6*f, 3*f = 3*j - 6. Solve j + 10 = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(133)*1 + sqrt(133))*-6)\/((sqrt(63)*-1)\/sqrt(9)).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 93100 to the nearest 1000.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24200528 and 1824.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 1 = 2*z, -8087*r + 2*z - 50 = -8093*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of 4*f**5\/5 - 6*f**2 - 13. Let r(z) = 2*z**2. Determine x(r(j)).\nAnswer: 192*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/5 - 898*m**2\/5 + 1804*m\/5.\nAnswer: -2*m*(m - 2)*(m + 451)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 10 = -0. Suppose 0 = -h - 4. Let r = q - h. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0224 + 0.1362. What is a rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (32\/(-16))\/((-24)\/(-393)). Let f = w - -4343\/132. Is f not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(270) - sqrt(270) - -3*sqrt(750))\/(sqrt(384)*2*6 + sqrt(384) - 1*sqrt(384)*-1))**2.\nAnswer: 45\/3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 26 = 4*f. Let p = f + 14. Is 0.16 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -473*t = 652*t + 7012 + 1988 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -92*q - 36*q - 12*q + 4*q + 3 - 5. Let d(j) = 5*j**2. What is d(p(i))?\nAnswer: 92480*i**2 + 2720*i + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 16*s**3 + 2*s - 1. Let z be u(1). Let i(h) = 5*h**2 + h + 6. Let c be i(5). What is the greatest common factor of c and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 6 = 3*j, -2*x - 3*j + 2*j = -4. Let b be -3 + (79491\/15897 - x). Let k = b - 24985\/10598. Calculate the common denominator of 1\/6 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -105 + 102 + 21*d**2 - 27*d**2 + 2*d**3 + 6*d. Let z(o) = 4*o**3 - 13*o**2 + 13*o - 7. What is 13*c(s) - 6*z(s)?\nAnswer: 2*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -49*z. Let c = 329 - 327. Let o(w) = -148*w + 2 + 0 - c + 150*w. What is h(o(a))?\nAnswer: -98*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4412 + 3?\nAnswer: 4415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g**4*h + 17219113*g**4 + 2*g**3*h - 2*g**2*h - 21282*g**2 - 1143*g*h wrt g?\nAnswer: -48*g*h + 413258712*g + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -736.6038317 rounded to the nearest integer?\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-129)\/(-387)*(-1)\/(-3)*32. What is v in -2\/3*v**3 - 110\/9*v**2 - z*v + 8 = 0?\nAnswer: -18, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 62 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 + 116 = -3*n + 4*i + 37, -n - 5*i - 46 = 5*i for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 5 = 1. Let i(s) = -57*s + 38. Let w(m) = 87*m - 53. Let k(h) = -3*i(h) - 2*w(h). Let a(f) = f + 3. What is u*k(z) - 17*a(z)?\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.591616 centuries in years?\nAnswer: 259.1616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 60 = -0. Let y be -9*(-5 + 4) - 2. Let k = 10 - y. Solve -x + 11 = -k*a - 0*x, 3*x = f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20160 = -4*c + 4*a, 10*a - 25236 = -5*c + 9*a. Does 58 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 907 is divided by 58?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 274 a factor of 2408348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/7*z**3 - 8\/7*z**2 + 0 + 4\/7*z.\nAnswer: 4*z*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of q**5\/20 + q**4\/4 + q**3\/3 + q**2 + 2*q. Let j be s(-2). Suppose j*a = -0*a + 22. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14.3 + -9.19. Let x = w + -0.11. Sort x, 0.3, 1\/3.\nAnswer: 0.3, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*i = -0*i - 10*i + 370 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 460 - c100?\nAnswer: -b970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11064862 is divided by 1605?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2943?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 1695 = 1441. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -51 - -71. Let c = x + -29. What is the units digit of 6\/((-2)\/c*3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mtlxxmxyxmy. Give prob of picking 1 l and 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 - 16. Let r = l + 4. Suppose 0 = 5*a - 3*j - 72, -4*a + 0*j + 58 = -r*j. Solve 2*x = z - a, -4*x = 3*z + 4 + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 2:43 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-3 - -4) - (15 + 13 + -39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4707 + -4707. Which is smaller: y or -1\/1721?\nAnswer: -1\/1721","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxg when three letters picked without replacement from gpxpgppgppxggpgggg?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -93 + 116 - (22 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39 - (24 + (21 - 31) + 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 267249106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 1346 + 167 = 0. Let d = -266 + j. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -227*v**3 + 291*v**3 + 128*v**3.\nAnswer: 192*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -7 + (-520)\/(-70) - (-6913)\/7. Calculate the highest common factor of 76 and j.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -140 + 145. Suppose -4*w + 2*a = -17084, 4*w - 19631 + 2541 = h*a. What is w rounded to the nearest one hundred?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*t + t + t)*(0 + 4 - 2) + 0 + 2 - t - 3)*(-197*t**3 + 65*t**3 + 85*t**3).\nAnswer: 235*t**4 + 47*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 - y**2 - 2 + 2*y**3 - 2*y**2. Suppose -1 = -5*r + 19. Give l(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 3 = -5. Put 3\/8, -0.6, y in increasing order.\nAnswer: y, -0.6, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 - 2*y**2 + 3*y - 1. Let u be b(2). Let z = 15 + u. Suppose z*a = 277 + 159. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 161685 (base 10) to base 4\nAnswer: 213132111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -136*q**2 + 137*q wrt q?\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (11 - (2 + 2)) + -3. Suppose 0*m + 5*q = 3*m + 7, -4*q = -5*m + 10. Let t be -1*2\/5*-60. Solve 2*j = m*j - o*x + t, 0 = -x + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 12*w + 246. Let c be n(23). Suppose 0 = -3*k + 2*k - 5. Put -1, c, k in descending order.\nAnswer: -1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -75, -14, 0, -2, -0.2, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/17  (b) -3  (c) -141  (d) 2  (e) -1\/27  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/7)\/((-145)\/(-2030)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, -4, 26, 39, -21?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2*(-1 - (-32)\/(-4)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 = -10*d + 5*d - 3*h, -2*h + 94 = 3*d. Let m = d + -27. Let a(o) = 40*o**2 + 5*o - 15. Let n be a(m). Round n to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 6:51 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 65 - 2*a - 5 + 68 + (0 - 1 + 0)*(2*a - 3*a + 3*a).\nAnswer: -4*a + 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 120489800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 0, 4*t + d = -0*d - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - x + 108. Solve x = n - 0*n - 3*a, 2*a = 2*n - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(-16) + 105\/20. Suppose -9*f = n*f - 60. Solve 6 = -2*y - 4, 3*y = f*r - 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 9153, 9103, 8995, 8799, 8485?\n\"Answer: -5*k**3 + k**2 - 18*k + 9175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -8. Let s = -3 - -6. Suppose 4*w - s*h - 68 = g, -4*h = 2*w - 0*w - 12. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4  (b) 40  (c) -3\/5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -36 - -41. Let f be (l - 7)\/((-3)\/(-33)). Let n(v) = 3*v + 74. Let r be n(f). Solve 6 = g + r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8 - (184\/32 + 2). Factor o*h - 1\/4*h**2 + 0.\nAnswer: -h*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 7878146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*259.\nAnswer: -25.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -1.8. Let x = -0.1 + 0.04. Let r = 5.06 + x. What is the second smallest value in k, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + r = -29, -4*z = 4*r - 0*r - 28. What is the hundreds digit of 56*(-11)\/(-6) + (-4)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7317*v + 3227 with respect to v.\nAnswer: 7317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 4*d - 8 + 18 - 36. Let z be a(7). Factor -49 - 7*o**3 + o**z + 6*o**3 - 35*o + 12*o**2.\nAnswer: -(o - 7)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 60484338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/(sqrt(32)\/sqrt(4)) - (sqrt(170) - (sqrt(170) - -1*sqrt(170)))\/sqrt(10))**2*-4.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2121 at most -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -b**3 - 155*b + 1279?\nAnswer: -3*b**2 - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 603283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 0, 4, -4, -4211, -1.\nAnswer: -4211, -16, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 230312 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 53, 0.4, -423, 5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -817*j**3 - 104*j**2 - 69*j**2 + 173*j**2 + 77*j**3.\nAnswer: -740*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9696 - 9806. What is the biggest value in d, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 221.19297 months in centuries?\nAnswer: 0.184327475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 65 + 398 = 3*d, -166 = -d + 2*y. Calculate the greatest common factor of 1131 and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (2 + 1 + (12 - 15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 4*i**2 - 4*i + 2. Let y(k) = -9*k**2 + 7*k - 5. Let c = -14 - -9. Let o(z) = c*x(z) - 2*y(z). Factor o(d).\nAnswer: -2*d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*a + 31. Let w(t) be the first derivative of t**6\/360 + t**5\/20 - t**4\/8 - t**3 - 1. Let f(b) be the third derivative of w(b). Calculate f(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31641256 to the power of 1\/2, to the nearest integer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -2866 > -2864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(153) + 0 + 2) + -3*(sqrt(153) + 1 + -3) + -1.\nAnswer: 15 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -99*w. Let d(k) be the third derivative of -k**5\/30 - 2*k**2 + 2. Determine d(m(r)).\nAnswer: -19602*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/7 < -6681222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2686*f + 3. Let p(o) = 8*o. What is u(p(q))?\nAnswer: 21488*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/(-80) + (-122)\/540.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**4\/2 + 1075157*u**3\/2 - 385330175793*u**2\/2 + 46037836041910695*u\/2 - 598361636393672229 = 0. What is u?\nAnswer: 26, 358377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3\/8 - 45*s**2\/8 + 51*s\/2 - 36.\nAnswer: 3*(s - 8)*(s - 4)*(s - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2450*l + 1887*l - 381860 = 3464*l + 2233*l for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -14*o + 36*o + 15*o + 30*o + 43. What are the prime factors of k(4)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 977408, 976945, 976482, 976019, 975556, 975093?\nAnswer: 974630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-7)\/(s\/((s\/s**(3\/7))\/s)))\/((s\/(s*s**8))\/s**(-2\/7)) assuming s is positive.\nAnswer: s**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53, 105, 157?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/215334 and -81\/47852.\nAnswer: 430668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10, -13, -12, -1, 26?\n\"Answer: k**3 - 4*k**2 + 2*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-19)\/(950\/20) + (-38)\/(-45). Determine o, given that 2\/9*o**2 + b - 2\/3*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4*z - 3)*((4 - 3 + 0)*(3 - 3 + 2) + 4 + 0 - 3)*(1 - 1 + 1).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2102809802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10576 - 6674. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -43*l - 5. Let w be p(-7). Let y be ((-3)\/(-1))\/6*w. Let x = y - 83. What is the remainder when x is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 15*q + 1 - 25*q + 4*q + 25*q.\nAnswer: 19*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 87*t - 21. Let d(j) = -87*j + 18. What is -6*d(u) - 5*i(u)?\nAnswer: 87*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 - 3*i + 1. Let w be (4 - 0\/(-3))\/2. Let f be t(w). Solve -3*u + 0*u - 4*b = -11, f*b = -3*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 79*s**2 - 779*s - 108. Calculate m(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3514.686mg in micrograms?\nAnswer: 3514686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5, v: 4, r: 1, l: 1, w: 3}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -13, -7.\nAnswer: -13, -7, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 + l + 6. Let t be z(0). Suppose 8 = 2*f - r, -t = -r - 2*r. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 6. Let k = 11 - c. Solve -2*h = -3*t - 2*t + k, 3*h + 3*t = 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-27) + (-76)\/18. Let b(r) = -43 + 48 - 435*r - r**2 + 432*r. What is b(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, 5, -6383, -418 in decreasing order.\nAnswer: 5, 4, -3, -418, -6383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*i + 7*o + 79 = -31*i, -3*o - 71 = -4*i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o**2. Let w(s) be the second derivative of s**4\/12 + 8*s. Give w(m(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 7. Suppose 4*s + 4*i = 20, 3 = 3*s - 0*s - 3*i. What is the second derivative of -3*o**h + o**3 + 2*o + 0*o**s wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q - 2 - 544*q**3 - 5*q + 526*q**3 to m*q + o + u*q**2 + c*q**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186577 is divided by 185903?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3 + 41 - 18*z - 10 with respect to z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/((k**6\/k)\/k))\/(k\/k**8)*(k*k**(1\/3))**(-20\/11))**(-1\/7))**1 assuming k is positive.\nAnswer: k**(-52\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 555*n + 821*n + 77801 + 3596 = 7093 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 1)\/(15 + -20). Let a(r) be the first derivative of 4 - 1\/3*r**3 - 3\/4*r**2 + o*r. What is u in a(u) = 0?\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.2 + 6.2. Let m = 8 + -25. Let p = -22 - m. Which is the closest to 1?  (a) d  (b) -0.5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 AM and 8:08 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**4 - 2*y**4 - 3*y**4 + (-1 - 2*y + 1)*(2*y**3 - 2*y**3 - 2*y**3) - 5*y**4 + 2*y**4 + y**4.\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/2  (b) 0.3  (c) 52  (d) 2\/5  (e) 61\/4  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 o when three letters picked without replacement from oooooooggogogoooogg.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12\/7 - (-20)\/70. Let p be 4\/(-22) + 35\/11 + w. Suppose -20 = p*z, 0 = 5*g - 0*g - 2*z - 293. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102179047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47187.41ml to litres.\nAnswer: 47.18741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 275*d. Let y = 3 + -5. Let p be s(y). Round p to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 + 11*m + 30. Let z be s(-6). Solve -2*o - o - 4*a - 18 = z, 2*o + 5*a + 19 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 v when four letters picked without replacement from veeppvvvvevevevevvev?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 - 6*m**2 - 2*m. Determine d(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 136 (base 10) to base 11.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-11) + (-5)\/33.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.7233 and -49.\nAnswer: -49.7233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/312 and -163\/369564.\nAnswer: 739128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 8*b**4 + 9)*(-2*b - 2*b + 6*b + (0*b - b + 0*b)*(-1 + 0 + 0)).\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 281196, 281202, 281206, 281208, 281208, 281206?\nAnswer: 281202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 12313 = -6*m + 49809. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-1)*20\/42. Let h = 1\/7 - q. What is the closest to h in -7\/3, 5, -5?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, u: 3, x: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 19728348 divided by 2\nAnswer: 9864174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {b: 2, j: 13, p: 2, s: 3}.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/387  (b) 15\/13  (c) 0.3  (d) 0.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/145410 and 173\/145410?\nAnswer: 145410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o**3 + 3*o**2 - 3*o - 4. Let a(h) = -12*h - 3 + 4*h + 4*h + 5*h. Let c be a(-1). Let s(i) = i**3 - i**2 + i + 1. Give c*s(d) - u(d).\nAnswer: -2*d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 + -22 - ((-10 - -7) + -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 231 + 261 - 11*f + 212*f**2 + 232 + 241*f**2 - 695. Is r(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 12:50 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - u = 2*u - 1221, 0 = -i + 3*u - 612. Let g = 1197 + i. Is g a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 + 29*l + 23. What is the remainder when v(25) is divided by 107?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 305833595 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10128 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 j = -25127 - -25226. Calculate the greatest common factor of j and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 20*y - 2. Let j be o(2). Let b = 43 - j. Find the second derivative of 25*t - 4*t**5 - 17*t - t**b wrt t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-56*f**4 - 241*f**4 - 28*f**4)*(0 + 2 - 21).\nAnswer: 6175*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17 by 11.\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/5))**(-2\/89))**(1\/3)*(z*z*z*(z\/((z\/z**(-5)*z)\/z*z*z))\/z*z*z*z*z**(-2\/11))**(10\/9) assuming z is positive.\nAnswer: z**(-11852\/4895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 175*y**3 + 240*y**3 - 427*y**3.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/400 and (-9)\/(-56)*(-108)\/24.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7783941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22249798 is divided by 3156?\nAnswer: 3154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 PM and 2:26 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 12413341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pzpzpzpzzz. What is prob of picking 1 p and 1 z?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 147523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z**4\/4 + 180*z**3 + 20181*z**2\/4 + 39159*z + 59565 = 0. Calculate z.\nAnswer: -209, -19, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = o - 3*d, d - 187 = 59*o - 61*o. What is the remainder when 106 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/336 and (9130\/770)\/((-360)\/35)?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 - 9*x**2 - 29*x + 53. Give y(-8).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11005 - 6716. Let z be 1\/3 - g\/(-3). Round z to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86199.\nAnswer: 3, 59, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 14) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 35  (b) 2\/13  (c) 2  (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 + 20*n - 19. Let r be s(-21). Let m(y) = -6 + r*y - 3*y + 0*y + 4. Suppose 0 = -u + 4*u - 15. Calculate m(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -10*z + 5. Let j(d) = -9*d + 17. Let q(n) = 39*n - 66. Let g(b) = -15*j(b) - 4*q(b). Calculate 3*g(a) - 5*w(a).\nAnswer: -13*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + 2*o - 8. Let d(l) = -l**2 - 1. What is 3*d(r) + i(r)?\nAnswer: -2*r**2 + 2*r - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 - 10*b**2 - 9*b - 29. Calculate x(-7).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7308 = -176*o + 147*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24490 + -489703\/20. Calculate the common denominator of -47\/14 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (19\/513)\/((-2)\/(-6))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 26130 + -11142?\nAnswer: 14655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 + 13. Let i = 9 - 4. Suppose 5*m = -2*l - 5, -i*l - 3*m - 4 = m. Solve l - 10 = a*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/20868114 and -17\/12.\nAnswer: 41736228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*(5 + 3 - 6). Let i(b) = -9*b**3 + 5*b**2 + 7*b + 12. Let a(p) = 5*p**3 - 2*p**2 - 4*p - 6. Let h(d) = q*i(d) + 7*a(d). Give h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 4*n. Let r be g(1). Put 0, -2, r in descending order.\nAnswer: r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 4  (b) -1\/6  (c) -3  (d) -0.3  (e) -922\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let 3*i**4 + 13758*i**3 + 232845*i**2 - 794886*i + 548280 = 0. Calculate i.\nAnswer: -4569, -20, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 547006 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*p - 1204 + 121721 = -24693. What are the prime factors of p?\nAnswer: 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2\/2929 + -84985\/64438. Let v = 1217\/143 - 100\/13. Let d = v + k. What is the third smallest value in 0, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67517 and 141347.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.19293 less than -0.3032?\nAnswer: -24.49613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -36 + 20 + (2 - -2) + 17. Which is the nearest to 5?  (a) 26  (b) r  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19\/2 + -91\/10. Let d(g) = -g**3 + 2*g**2 + g + 1. Let u be d(2). Let o be (u\/2)\/(2 + -1). What is the nearest to j in -0.3, o, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + 18 - (-5720)\/(-200)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -311*n - 65 = -298*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000195679 rounded to seven dps?\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26149088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.193  (b) -2723  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2403250?\nAnswer: 2, 5, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 5*v**2 + v - 1. Let n be s(1). Let l = 9 - 4. Let m(t) = -t**3 + 6*t**2 - 4*t - 2. Let c be m(l). Solve -a + n*b = 2*a + 11, -11 = 4*a - c*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - a + 3*a)*(-2 - 3*a**2 + 2) + 0*a**2 + 1133*a**3 + 0*a**2 - 1409*a**3.\nAnswer: -288*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11\/5 - 12\/5. Put -2, 3\/16, b, -5 in ascending order.\nAnswer: -5, -2, b, 3\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + 574 - (3 - 2). Let t = 460 + -781. Let f = t + x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, o: 2, z: 6, k: 3, d: 2}. Give prob of picking 2 d and 1 z.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124722041?\nAnswer: 41, 67, 45403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of u**4\/12 - 2*u. Let n(l) = 3*l + 2. Let c(o) = 4*o + 3. Let i(r) = 2*c(r) - 3*n(r). What is i(g(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(-4*t + 3*t + 3*t) - 4*t - 7 + 4 + 3*t.\nAnswer: -5*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -389614 at most as big as -389613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of j**4\/4 - 5*j**3\/3 - 3*j**2\/2 + j - 3. Suppose -u + 5*u + 2*a = 28, -4*u = 5*a - 34. Is t(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -56912 + 5634334\/99. Calculate the common denominator of -41\/77 and t.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2186.81 rounded to the nearest 10?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b - 646 = -16*b. Suppose -6 = -2*r + 32. What is the highest common factor of r and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (210\/245)\/(4\/(-224)*2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 0 + 59 = 4*b, 3*b - 3*n - 48 = 0. Suppose -l + 5*r = -3*l + 12, -b = -l - 5*r. Solve -1 = d + l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.7  (b) 0.1  (c) 3\/4  (d) -79\/5  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 344*z**3 - 96*z**3 - 2.\nAnswer: -440*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*b*h**2*n**3 + 2*b*h**2 + 8400*b*n + 48*h**2*n**3 - 61*n**3 wrt b.\nAnswer: 5*h**2*n**3 + 2*h**2 + 8400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1773150877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 2 + (-60)\/33 + (-80)\/1650.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -175 + 1223\/7. What is the nearest to 1 in -0.3, -1\/6, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*j**2 + 4*j**2 - j**2)*(-2 + 2 + j) + 4*j**3 - 11*j**3 + 8*j**3 - 44 to the form c + l*j + z*j**3 + k*j**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = k + 3. Let v = 10 - 8. Suppose -v*d + 3*d = -3. Sort k, d, 4 in descending order.\nAnswer: 4, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**4 + 2*t**2. Let n be (-1)\/((-4)\/80*-4). Let f(l) = -2*l**4 + 5*l**2. Let x(w) = n*k(w) + 3*f(w). What is the third derivative of x(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/341, 2\/267, -2\/11, -24 in descending order.\nAnswer: 2\/267, -1\/341, -2\/11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 891\/1485 - 194\/290\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnv when three letters picked without replacement from nnvvnvvvvnvnvvvvvnn.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 1. Let l(m) = -m. Let f(s) = -1. Let t(q) = z*l(q) - 3*f(q). Let v(h) = -h - 1. What is -t(b) - 2*v(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 6*s - 5*k = -12, 12 = 2*s + 2*k. Calculate the smallest common multiple of 3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 4*u + 443100, 5*u = y - 76003 - 34788. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 4*u - 39, -1 = 5*u - 16. Suppose -l + 36 + g = 0. Suppose 2*m - 7*m = -l. Calculate the remainder when 17 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50.257 + 0.257. Let q = 50.0000279 + y. Round q to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17574 - 7*n + 17572 - 35149.\nAnswer: -7*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -3*l**3 + 4*l**2 + 8*l + 3. Let t(a) = 7*a**3 - 9*a**2 - 17*a - 7. Let v(b) = 9*n(b) + 4*t(b). Determine v(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3732 - -3732.053. Let w = 0.018 - 2.118. Let q = w + 2.2. Is t less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 2.787458 tonnes?\nAnswer: 2787458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -813 - 1029 + 348 = 83*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(-4 + sqrt(117)*-1) + 2*(4 + sqrt(117)*3))*1)**2.\nAnswer: -72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25774403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 887 = 5*y, 0 = -4*z + 2*y + 110 + 792. Let r = 129 - z. Let a = 164 + r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-5)\/15)\/((-3)\/36). Suppose 5*c + 39 = 4*k - k, -r*c - 4*k = 12. Let z be c\/7*(-1)\/2. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1185*f - 1156*f + 2035*f)*(3 - 4 + 4)*(4 - 1 - 2) to the form t*f + n and give t.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-110)\/140 - (-3)\/6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 50\/9 and -33\/76286?\nAnswer: 686574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 + 25. Suppose -3*v - v + l = 0. Find the third derivative of -3*p**3 - 8*p**2 - 7*p**3 - 7*p**v + 6*p**2 wrt p.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*-1*2\/2)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -3146.2 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-2)*a*a\/(a**(-7)*a)*a)**(-19) assuming a is positive.\nAnswer: a**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 21862 + 1154?\nAnswer: 23126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 6 - (-9 - -6 - (-1 + (0 - 51))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 655097, 655156, 655243, 655352, 655477, 655612, 655751, 655888?\n\"Answer: -f**3 + 20*f**2 + 6*f + 655072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2069 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 AM and 2:45 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -1*sqrt(363).\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1295910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, -1, 0.2, 2\/7, -0.5, -0.1 in increasing order.\nAnswer: -1, -0.5, -0.1, 0.2, 2\/7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -132*10232\nAnswer: -1350624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 14. Suppose q + b = 1 + 1, 8 = 5*q + f*b. Put q, 2, -4 in increasing order.\nAnswer: -4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -168*g**2 - 263*g**2 - g + 125*g**2 - 263*g**2 - 10*g**2.\nAnswer: -579*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3868 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -51 - 1. Let p(k) = -6*k**2 - k + 5. Let x be p(3). Are x and h unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/6)\/((-8)\/72) + 1. Suppose -2*p - 351 = -2*y - p, 0 = -2*y + v*p + 354. What is the remainder when y is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 423443126.\nAnswer: 2, 3823, 55381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -3*g + 21. Let x be n(14). Let k be x\/(-6) - 9\/6. Let d be (-2150)\/(16004\/8000 - k). What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of -t**3\/3 - 13*t**2\/2 - 12*t + 8. What is the remainder when 33 is divided by f(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 - -1.7. Let d = 35 + -20. Let b = d + -20. What is the nearest to -1 in b, p, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 17. Let i = p - -11. Let s(d) = -d**2 + 4*d + 2. Let t be s(i). Solve -5*y + 19 = t*r, -2*y + 7*r - 2*r = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -96*k + 195*k - 97*k + 154 to the form y + t*k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2757, 4895, 7025, 9147?\nAnswer: 11261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4080587357.\nAnswer: 7, 11, 7570663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1973381359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.792363846 rounded to three decimal places?\nAnswer: 11.792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 973 divide 946246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -243 (base 7) to base 9\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1618876 times 10\nAnswer: -16188760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (3 - (-22 - -13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2382371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 - 29 = 2*a - 6*y + 53 - 28, 0 = 6*a + 2*y - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (240 + 227 + 419)*(18 - w - 18 + (-2*w + 3*w - 3*w)*(1 - 3 + 4) + 0 + 0 + 2*w - 1 + 1 + 2*w) to the form g*w + v and give g.\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1455 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c**4\/c)*c**1*(c**(1\/5)\/c)**(11\/4) assuming c is positive.\nAnswer: c**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -5386722629942 - -0.2\nAnswer: -5386722629941.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -2) + -1 + -969 + 924?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/2 and -61\/830.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(6)*-1)\/(sqrt(27)\/(sqrt(27)\/sqrt(3))) + (sqrt(20)*1*5 - sqrt(20))\/sqrt(10)*3.\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 200010 (base 5) in base 14?\nAnswer: 23cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -4*h, -3*b - h - 5 - 6 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of -i**7\/2520 - i**6\/360 + 3*i**4\/4 + i. Let b(s) be the third derivative of p(s). Find the second derivative of b(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eleven eighths of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 4:17 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42193 is divided by 5273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/3690 and -127\/38269400?\nAnswer: 344424600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*c**2 + 7*c - 12*c**2 - 40*c - 54*c wrt c?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19128144 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*y = 2*y + 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/987 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.02, 0.3, 7811?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 7 = -2*x + 60, -3*b = -3. Let c = x - 25. What is the highest common factor of c and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -413118245844.00019 - -413123986137. Let o = 5740317 - a. Let l = o + -24. What is l rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13159780 rounded to the nearest ten thousand?\nAnswer: 13160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.151 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -388000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*i + 19*i + 51*i - 176*i + 54*i - 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 8*i - 491972. Let m(n) = n. Calculate m(c(s)).\nAnswer: 8*s - 491972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 52273301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, e: 2}. What is prob of sequence ve?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, s: 2, k: 5}. Give prob of sequence tks.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n + 7. Let y be o(8). Let k = y + 1. Solve -b = 2*r - 6, 0 = 5*r + 4*b - 15 - k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/9 and -71\/152.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -668, -52, -5, -3 in increasing order.\nAnswer: -668, -52, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 251, 1056, 2545, 4838, 8055?\n\"Answer: 20*n**3 + 222*n**2 - n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -5*l**2 - 21*l + 39. What is d(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 15*v**3 + 3*v**2 - 2. Let q be y(3). What is the greatest common divisor of q and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -853562*l**3 - 6*l**2 + 12011.\nAnswer: -5121372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-129)\/3 - -1)*(-181)\/(-181)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -4*b - 76. Let u(t) = 2*t + 38. Calculate -3*m(g) - 5*u(g).\nAnswer: 2*g + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 63*x**2 - 128*x + 194. Calculate the remainder when 735 is divided by w(-65).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express v**2 + 268 - 542 + 5*v**3 - 14*v - 12*v + 272 as p*v**3 + q*v**2 + a*v + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 + -3 - -18)\/(-1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 94820 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 59494925 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**3 + 0*s**3 + 0*s**3)*(0*s + 8*s - s)*(4*s - 6*s + s).\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-5 + (0 + (-5*1*sqrt(40))\/((sqrt(20)*-1)\/sqrt(10)))*-3))**2.\nAnswer: 2700*sqrt(5) + 40725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 - 11. Calculate the lowest common multiple of 4 and r + -3 + 1 + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*y - 36*y - y)*(-1 - 1 + 0)*(2 + 1 - 2)*(-y**2 + 4*y**2 + 0*y**2 + (4*y + 5*y - 2*y)*(3*y + y - 5*y)).\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 408*x + 5 - 5 + 1051*x.\nAnswer: 1459*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10554, -10555, -10556, -10557?\nAnswer: -10558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 17481165 divided by 13\nAnswer: 1344705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 207 in -0.05, -2\/17, 1\/11, -0.3, 4.8?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.6 and -731079275.\nAnswer: -731079277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45 + 50. Suppose 105 + 60 = x*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w + 3*q - 341 + 306, -3*w - 2*q + 21 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 3:00 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -216873 + 739873. Round a to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 greater than or equal to 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1017 = -8*o + 89. Is (o\/6)\/((-4)\/1362) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 61?  (a) -0.3  (b) 2\/31  (c) -3\/4  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 95176621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 - 4*r**2 - 12*r + 8. Let l be f(6). Suppose -10785 = -l*y + 51751. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 101203.6l?\nAnswer: 101203600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -180 - 16*f**2 - 11*f**2 + 26*f**2 + 129 - 203 to the form m + a*f**2 + u*f and give m.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -121\/503, 0.1.\nAnswer: -4, -121\/503, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + -14 - -10) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h, 1 t, and 1 s when four letters picked without replacement from {h: 7, t: 3, s: 3}.\nAnswer: 189\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*5*(sqrt(968) - ((sqrt(968) + -1 - sqrt(968)) + sqrt(968)))*1)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 + 13*j - 68. Let l be r(-17). Let l - 2\/5*f + 1\/5*f**2 = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -261597244477 minus -18?\nAnswer: -261597244459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/f**(-24)*f)\/((f**43\/f)\/f)*f**1*f*f**4\/f)**2 assuming f is positive.\nAnswer: f**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -81 - 84 + 255 - 89 - 2*w. Suppose -c - 1 = 0, 3*i - 2 = -3*c + 1. Determine g(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123655045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-5)*a*(a**20\/a)\/a*a**24\/((a\/(a**(-7\/6)*a*a))\/a) assuming a is positive.\nAnswer: a**(233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -24*r + 108. Let d be t(7). Let k be -3 + 0 - d\/10. Factor -12\/7*u**2 - 2\/7 - 2\/7*u**4 + 8\/7*u**k + 8\/7*u.\nAnswer: -2*(u - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1065 = 28546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -5*a + 4*w + 219, -4*a + 5*w = -201. Let u be ((-3)\/1095)\/((-3)\/a). Let g = -12919\/2920 + u. Calculate the common denominator of g and -91\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 10. Let a be 0*(1 + n\/6). What is the closest to a in -0.2, 1, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of w**3\/3 + 3*w. Let a(j) = -5949 + 11892 - 5943 - 80*j**2. Give l(a(u)).\nAnswer: -160*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63988 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -584 = -u + 2*v, -u - 2*u = 4*v - 1782. Suppose -4*y + 103 = l, -6*y + y - u = -5*l. What are the prime factors of l?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -6*n + 32. Let i be q(5). Find the second derivative of 158*r + 0 - 1767*r**2 + 1476*r**i + 0 wrt r.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**2 - 12*a + 616.\nAnswer: -4*(a - 11)*(a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 10, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/468 and 11\/14.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-8)*2*590 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -253, -1148, -2671, -4822, -7601, -11008?\nAnswer: -15043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0709549373 rounded to three dps?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c - -230c90c?\nAnswer: 230c919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-57)\/1*((-44)\/(-12))\/11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -2 - (-6 + 4 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 379242 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + 14*i**2 - 16*i + 2. Let n be o(-15). Let l = n + -2. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/9)*u)**(-2\/9)*(((u*u\/(u*u*u**(-3\/17)))\/u)\/u)\/u*u\/u**(1\/12))**7 assuming u is positive.\nAnswer: u**(-83993\/5508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23 + 23.4. Let q = 3.6 - 2.96. Let k = q + -0.14. Sort i, k, -2\/11 in ascending order.\nAnswer: -2\/11, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of s**6\/6 + 6*s**5\/5 + s**4 - 2*s**3 - 5*s**2\/2 - 171. Let i(l) = 0. What is l?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10012022 (base 3) in base 8?\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -14762900 at least -14762904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 4:17 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*m - 231 = -411 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15 - (-208)\/80*-6. Let l be 2 - 0 - 11\/7. What is the smallest value in 0, -1\/20, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 183 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z - 4. Suppose -g + 2*s = -8, 2*g - 5*s - 19 = -0*s. Let j(p) = -p**2 - p + 1. Let x be j(g). What is the units digit of w(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 4:27 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5288 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**0\/c)\/(c*c**(-4)))\/((c*(c*c\/(c*c**(-1\/19)\/c))\/c)\/(c**5\/c)) assuming c is positive.\nAnswer: c**(75\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*s - 110*s - 704 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 300*u**3 + 151*u**3 + 2 - 101*u**3 - 36*u**3 + 196*u**3 in the form j*u + m + k*u**3 + a*u**2 and give k.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + -1 - (-4)\/14. Let v be 2 + (-2 + 3)*-4. Let b be (v + 0 - 2)*-1. Sort -0.5, b, h.\nAnswer: -0.5, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 6 - 4)*(-37*d**3 + 68*d**3 - 34*d**3 + 250*d**2) to m + a*d**3 + j*d + o*d**2 and give o.\nAnswer: -1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 1 + 3. Let h(p) = p**3 - 3*p**2 + 3*p - 2. Let c be h(q). Suppose c = -2*g + 5*g - 60. What is the greatest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 54*n - 65058 - 30846. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 4, -26, 13, -1930, 9 in increasing order.\nAnswer: -1930, -26, -3, 0, 4, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -91 - -106. Suppose 0 = -2*h - 5*v - 11 + 66, 0 = -3*h + 3*v + 51. Suppose -h = -2*k - 3*k. Solve k*u = u - f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 245 + -22. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 100021 + -20?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 71476920 a multiple of 2705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -0.02562.\nAnswer: -0.02562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - 6. Let g = u + 14. Suppose g = -j + 2 - 1. What is the smallest common multiple of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(130)\/(sqrt(10) + 5*(sqrt(160) - sqrt(10)) + sqrt(10)).\nAnswer: sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6\/9449 + -803381\/340164. Find the common denominator of -7\/276 and z.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3147621 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1334 (base 5) in base 9?\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1540, 2883, 4264, 5695, 7188?\nAnswer: 8755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-14)*((-35)\/10)\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 5 = 2*r, -4*b + 8*r = 7*r - 25. Suppose -4 - 12 = -2*p. What is the least common multiple of b and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4 - 2.95.\nAnswer: -3.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-7) + (360\/(-14))\/(-10). What is the third derivative of -7*y**2 + 8*y**m - y - y - 23*y**5 - 7*y**4 + 5*y**4 wrt y?\nAnswer: -1380*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*y - 1770 + 2358 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -908 - -1539. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41 - -44. Let v be ((-63)\/m)\/(-3) - 4. Is (2098\/6 - -4)*v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -397975*b**3*u - 14*b**2*u - 2*b**2 - 4*b*u - 2*b + 60*u wrt b?\nAnswer: -2387850*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/3)*k)\/(k**(-1\/5)*k)*k*k\/(k*k**(-3\/5))*k\/(((k**(-6)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79758*k**3 - 60425*k**3 + 140181*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 9*n - 44. Let x be q(8). Suppose -h - 1458 = -x*h. Calculate the remainder when 157 is divided by h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-5\/2)*n**35*n**(2\/85)*n**(-2\/9))**(2\/19) assuming n is positive.\nAnswer: n**(49421\/14535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4738*p + 1343 - 5103 = -6538 - 11436 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -906732 divided by -10188\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/5)\/(23\/(-345)). Let b be x\/(-3) - -484 - 3. Suppose -b = -5*m - 132. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - -7. Suppose 0 = -a - 4*k - c + 33, 4*k = 20. What is the second derivative of 0*v**4 - 4*v**4 + a*v + 5*v**4 - 5*v**4 wrt v?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17996 - 18000. Let l(c) = -c + 4. Let h be l(3). What is the closest to -1 in h, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 43*x + 567*x**2 + 19*x - 62*x as h*x**2 + r*x + q and give h.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 4 = 4*i, 3 = 4*d - 0*d + 5*i. Let n(c) = 2*c**2 + c + 2. Let w be n(-1). Let q be ((-2)\/w)\/((-4)\/(-24)). Sort d, 0, q.\nAnswer: q, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 3*k**2)*(0 + k + 0)*(k**2 - 2*k**2 + k + 0*k).\nAnswer: 3*k**5 - 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -1\/1847083?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 199.8590145 rounded to two decimal places?\nAnswer: 199.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 4 = -39. Suppose -2*n = c + 301. Let k be n\/(-4)*(1 + 1). Calculate the highest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 5*y + 5*q = 21, -4*q = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - -18 - (1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -155 + 163. What is the common denominator of 30\/(-39)*k\/(-140) and 25\/39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**2 - 295*f**3 - 13 + 303*f**3 - 11.\nAnswer: 8*f**3 - f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of w**4\/4 + 49*w**3\/6 + 6*w**2 + 978*w. Give h(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l**3 + 2 - 2 + (0*l**2 - l**2 - l**2)*(-290*l + 19808 - 19808).\nAnswer: 582*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*n - 555 = 299. What is the highest common factor of 11942 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43438090.\nAnswer: 2, 5, 1613, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-72) - -1*(-1)\/(-4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 30576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4060 - 4056. Let m(g) = -41*g + 146. Determine m(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/((-8)\/7) + (-42)\/(-28). Sort 2\/53, -7, l in decreasing order.\nAnswer: 2\/53, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.24 + 4.24. Let l = 2 - 1. Which is the smallest value?  (a) -0.2  (b) l  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1862)*-2*-5)\/(2*sqrt(2)*1*-3).\nAnswer: -35*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**19*g*g*(g\/(g*g*g\/(g**(-11\/4)\/g)*g))\/g)\/(g**(-4\/5)\/g)**(4\/7))**(-3\/2) assuming g is positive.\nAnswer: g**(-5997\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 3*q**2 + q + 6. Let l be x(-3). Factor r**l + 21*r**2 - 16*r - 6*r**2 - 9*r + 8*r**3 + r**4.\nAnswer: r*(r - 1)*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -313*p**2 + p + 693. Let x(w) = 2192*w**2 - 8*w - 4853. Let n(f) = -15*t(f) - 2*x(f). Find the first derivative of n(k) wrt k.\nAnswer: 622*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p - 24. Calculate u(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o - 2. Let a be b(2). Suppose -r - a*w + 3 = 0, 5*r + 5*w - 9 = 2*r. Find the second derivative of r*z**4 - z - z**5 - 3*z**4 wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of i**6\/120 - 7*i**5\/20 + 23*i**4\/24 - 14*i**3\/3 - 11*i**2. Is u(20) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 0 + 2)*(-4*t - t + 3*t) + 4*t - 2*t - 5*t)*(-1 - 3 + 2).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a - 17 - 3*a - 14 + 39 - 11. Suppose 3*w + 32 = -w. Let o(v) = -2*v - 21. Let p be o(w). Determine l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 879\/759418 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 375158847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 1.01  (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 + 37 = d + 9*q, -11*q + 9*q + 6 = 0 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -6*f + 1 + 4*f + 2*f + f**2. Let o be z(-2). Solve -4*c + o*w = -19, 3*w + 11 = 5*c + w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 0.1, -0.2, 0, -1.35, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ivbibvbfibbbbfbbfif. Give prob of picking 1 v and 1 f.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -5.16. Round f to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 5*r - 20 - 113, 0 = -3*r + 4*h + 74. Let n = -9 + r. What is the third derivative of -7*z**2 + 6*z**2 + 5*z**6 + 2*z**6 + n*z**2 wrt z?\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4065*a**3 - a**2*b**2 - 2*a*b**2 - 13*a*b - 9*a - 2*b wrt a.\nAnswer: 24390*a - 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + 0 - (-11 - -2). Suppose -g - w = -3*a, 0*g - 14 = 2*g - 5*a. What is the smallest value in -1, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4632*x + 6299*x + 7463*x + 2630*x.\nAnswer: 11760*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1079, -7286, -23981, -56408, -109811, -189434, -300521?\n\"Answer: -874*s**3 - 89*s - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1326*b**3*v**5 + 10567*b**3*v**2 - 9*v**5 - 2*v**2 wrt v?\nAnswer: -79560*b**3*v**2 - 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 12 = 8. Let c(u) = -u**3 - 6*u**2 + 8*u - 6. Let h be c(-7). Let k(x) = x + 13. Let n be k(h). Sort w, 2, n.\nAnswer: w, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 9. Suppose 0 = 5*z + n - 13. Let x be (5\/z)\/((-5)\/(-10)). Solve 21 = 2*v - 5*q, -v - 5*q - x = 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8347 and 34861.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*i - 48 = 2*a - 102*i, 6 + 3 = -a + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**3 - 2951*g**2 - 1650*g wrt g?\nAnswer: 12*g - 5902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 99 (base 15) in base 12?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 AM and 9:53 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 940 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16440 - -16440.000014066. Round u to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 61 + -169. Let u be (-43)\/(-1 + c\/(-110)). Suppose v - u = -10*v. What are the prime factors of v?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v**5 - 110*v**4 - 130*v**3 + 340*v**2 + 125*v - 230 = 0 for v.\nAnswer: -2, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**2*s**3 - 3088*k**2*s + 5*k*s**3 + 472*k*s wrt k?\nAnswer: 4*s**3 - 6176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 36 = 9*j - 5*j, 2*j - 4*q - 28 = 0. Suppose 4 = 5*i - 4*w + 34, 0 = -i - 5*w - j. Which is bigger: i or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 67\/19986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -5*r**3 + 465*r**2 + 1925*r + 1455 = 0.\nAnswer: -3, -1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57742518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 2*g - 30. Let q(y) = 3*y**4 - 6*y**3 + 3*y**2 - 6. Let c(p) = 2*p**4 - 5*p**3 + 3*p**2 - 5. Let o(b) = g*q(b) - 6*c(b). Solve o(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 3*p**2 + p + 1. Let x be s(3). Is 13\/5 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -30, 270383\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7555300903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(24\/(-30))*(25 - 23). Let r = -29\/6 + 505\/102. Which is the closest to r?  (a) h  (b) -2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 - (-9 + 3 + 13 + -21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1480883 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 314*a**3 - a**2 + 320*a - 1905. What is the ten thousands digit of d(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4076, 4074, 4062, 4034, 3984, 3906, 3794?\nAnswer: 3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 22512340 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 w(b) be the second derivative of -263*b**7\/42 + 7*b**6\/30 + b**3\/3 - 75*b**2 - 7255*b. What is the second derivative of w(m) wrt m?\nAnswer: -5260*m**3 + 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 75\/4814936 and -9\/112?\nAnswer: 9629872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.42 plus -304.43?\nAnswer: -304.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 2:16 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, -72.2, 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 0 - -4) + (-9 - (-1 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of 0 - 5\/2*m**2 - 11\/6*m**3 + 5*m. Differentiate h(j) wrt j.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 871 + -1281. Let z = 431 + p. Calculate the highest common factor of z and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.28784 rounded to two dps?\nAnswer: 2.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 172950249 divided by 201\nAnswer: 860449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*c + 18*c + 185 = 0. Is 37 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*1*-1*(0 + (sqrt(200) + -6*-1*sqrt(200) - sqrt(200)) + 1 + sqrt(200) + -1 + sqrt(200) + 5)**2.\nAnswer: 1600*sqrt(2) + 25650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 10. Calculate the remainder when 49 is divided by 20 - 6 - m\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**4 + 2321*m**3 - 1300398*m**2 - 54213920*m - 52911200 = 0. Calculate m.\nAnswer: -38, -1, 1180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104, 174, 240, 302?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -22 + (384 - 342) + 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*u**4 + 91*u**3 - 1 + 4*u**2 - 104*u**4 - 6 - 3*u**2 + 112*u**4 to o + y*u + c*u**4 + i*u**2 + r*u**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/(5\/(-3)) + -2. Solve -2 = -3*k + q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -15\/113?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 6*g**2. Let b = -5 - -16. Suppose 2*w - 3 = b. Let j(l) = -4*l**2 + l**2 - w*l**2 + 7*l**2. Determine j(q(h)).\nAnswer: -108*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -178, -221, -542, -1345, -2834, -5213?\n\"Answer: -34*q**3 + 65*q**2 - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 15441034 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18917991 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of -2*h**5\/15 + 13*h**3\/6 + 21*h**2. Let k(f) = -1. Let w(i) = 2*k(i) + r(i). What is the derivative of w(q) wrt q?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27508 divided by -23\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 25 = 2*s. Let r = 44 - s. Suppose -u + 21 = -r. What is the highest common factor of u and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(100)*4)\/(sqrt(40)\/(sqrt(50)\/sqrt(5))))\/(6*(sqrt(405) + -2*sqrt(405))*-3).\nAnswer: -4*sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 + -de?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c - 20*c + 2*c + 4*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 9*k. Suppose -9 = -h - k. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2.53  (b) 0.1  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -62*z**2 - 860*z**2 - 2516*z**2 - 9*z**2 - 1862*z**2 - 363*z**2 + (2*z + 0*z + 0*z)*(-3 + 3 - 2*z).\nAnswer: -5676*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10 and -26215?\nAnswer: 262150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 4, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 5*l = -11, 4*l + 0*l = -4*o + 12. Let m be 30\/4*((-22)\/(-6) + -3). Let n(q) = -2 - 4*q + m + q**3 + 2*q + 3*q**o. Give n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d38 + -5?\nAnswer: d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 4*v**2 - 18*v + 39. Let y be d(16). What is the highest common factor of 62 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114450*b**2 - 37311*b**2 - 40668*b**2 - 41495*b**2.\nAnswer: -5024*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.271 + 1.271. What is the closest to 3\/10 in 0.3, -1, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-4 + (sqrt(52) + (sqrt(52) - (sqrt(7488) + 5)))*5)**2 + -4).\nAnswer: -392511 - 17400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18967799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -20*t - 2 + 0 + 0 - 3 wrt t?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*b - 2407 = -682. Let g = -106 + b. Factor -3\/2*y**3 + 33\/2*y - g - 6*y**2.\nAnswer: -3*(y - 1)**2*(y + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 29*n - 1 - 30*n - 3 - 4*n + 5*n + 0*n + (-n + 2*n - 2*n)*(0 - 1 + 0) - 3*n + 4*n + n - 3523 - 36*n + 3523.\nAnswer: -33*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (445\/(-267))\/(45\/(-6)). Let v = -32041 + 32016.033. Let a = -0.033 + v. What is the third biggest value in b, -1\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3*u**2 + 4*u. Let j(t) = -21*t**2. Calculate z(j(q)).\nAnswer: 1323*q**4 - 84*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 576001588 equal to 576001588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 62  (b) -0.3  (c) -0.2  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*k + 10. Suppose 7*n = k*n + 30. Solve -5*m - f - 4*f = n, 4*m - f - 8 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2789.\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 40*y**2 + 34*y + 203. Let o be h(39). Solve -10*d + o = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 1\/19  (b) 3\/8  (c) -4  (d) -2\/128141\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (q + 0*q + 0*q + (-2 + 6 - 3)*(5*q - 2*q - 5*q) - q + q - 2*q + q + 2*q - 5*q + 2*q - q - 3*q)*(-80 + 48*q + 80) to t + o*q**2 + y*q and give o.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 0.4  (c) -2\/9  (d) -23  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 - s**2 - s - 1. Let v(n) = 5*n**3 + 4*n**2 + 4*n + 30. Let z be (30\/(-40))\/((-63)\/(-14)*1\/(-6)). Determine z*v(m) + 4*u(m).\nAnswer: m**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13610034 and 1980.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + -10031003030?\nAnswer: -10031003100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6321 is divided by 2887.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 67244.17 litres in millilitres?\nAnswer: 67244170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2248, 4498, 6748, 8998, 11248, 13498?\nAnswer: 15748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 1:43 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -2*u**2\/13 + 16901982*u\/13 = 0.\nAnswer: 0, 8450991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c - 11. Let p = -54 + 43. Let h be r(p). Solve h = 5*s - 2*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -565130 - 228*y**2 - 3*y - y + 565128 as v*y**2 + t*y + n and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4208 and 21574942?\nAnswer: 172599536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/1 - 4*6\/(-12). Is v + (-4)\/(-10) + (-39)\/(-65) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 73.14 + -72. Let h = -0.06 - q. Let m = -1.19944 - h. What is m rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 855*k + 30795 + 61545 = 0 for k.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -19940*i - 677993. Determine v(-34).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.3 + 0.3. Let n = 1.4 + l. Let h be 4\/(-26) - 210\/(-520). Which is the closest to -3?  (a) 5\/6  (b) n  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -1 - 2 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 351*a**3 - a + 2*a - a - 362*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, t: 1, j: 2, c: 2, q: 1}. Give prob of picking 1 c and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 7 - 5. Suppose 3*v + a = 4*w, 3*v - 4*w - 4 = -5*w. Let s(u) = -3*u + 1. Determine s(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - x - 3. Suppose 5*k - 2*d - 100 = 3*d, -2*k = d - 25. Suppose -5*s = -5*v + k, -3*s + 0*v - 3*v = 9. What is t(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -7 + (-4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -69. Let s = -32 - u. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of 0*g**4 - 22\/3*g**3 - 62*g**2 + 0*g**6 + 0*g + 0*g**5 + 0 + 89\/210*g**7. What is the first derivative of v(p) wrt p?\nAnswer: 356*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 315*c - 3290. Give x(11).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4785)\/20)\/(-11) - 2\/(-8). Suppose v = u*v. Suppose 3*p - k - 14 = v, -2*k + 4 = 2*k. Solve 11 - 1 = -p*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*(-264)\/462?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, c: 1, p: 2, e: 1, o: 1, j: 1}. What is prob of sequence eqp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - (-1*-3*sqrt(156) - sqrt(156))))\/(-2*sqrt(6)*-3))\/(sqrt(128)\/(sqrt(28)\/sqrt(700))).\nAnswer: sqrt(13)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 2 e when four letters picked without replacement from {e: 6, s: 2, r: 1, c: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n**4 + 6*n**4 - 2*n**3 - 4*n**2 + 3*n**3 as c + y*n + g*n**2 + i*n**4 + r*n**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2559 - -2?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -239 + 266. Solve -5*v = 4*g + p, v = -v + 2*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7164 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 + 3729682*y - 96973084.\nAnswer: 2*(y - 26)*(y + 1864867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of t**3 - 6 - 6\/5*t**5 + 0*t + 0*t**4 + 0*t**2. Find the third derivative of p(c) wrt c.\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2\/3  (b) -3  (c) 16  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = 4*b - b, -3*f = 3*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 340, 670, 990, 1294, 1576, 1830?\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -19720*x - 1064884. Give n(-54).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6.38 and 513.\nAnswer: 3272.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -3\/4  (c) -0.3  (d) 2  (e) -30\/11  (f) -188\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - 22*b**2 - 55*b + 42. Let x be t(-19). Solve -3*h = -x*r + 8, -2*h - 2*r - 2 = -3*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8079539 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12201222010102 (base 3) to base 13.\nAnswer: 82a48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 68  (b) 377\/2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27738 and 69.\nAnswer: 27738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 21, 44, 69, 96, 125, 156?\n\"Answer: x**2 + 20*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 20732 divided by 142\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17005 by 17.\nAnswer: -17005\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 10*c - 4*c)*(c - 2*c + 0*c)*(-15*c**2 - 9*c**2 + 17*c**2).\nAnswer: -63*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -18*(-4)\/12 + -3. Suppose 9*w = m*w - 954. Is -159 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - 1) + 10 + -9 + -12 + 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 445614 or 445615?\nAnswer: 445614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of 2*a**3\/3 + 48*a**2 + 640*a + 1289. Factor x(p).\nAnswer: 2*(p + 8)*(p + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532030 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 7. Solve -4*n = p - 5, p + c*p + 2 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152334164 to the power of 1\/2, to the nearest integer?\nAnswer: 12342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 973*z**4 - 440*z**2 wrt z?\nAnswer: 23352*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.027*21514.67\nAnswer: -580.89609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 21 + 25 = 0, 2*w - 3*l = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 - 10*f**2 - 41*f + 25. What is the tens digit of i(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 424 is divided by 421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 9d2d00c?\nAnswer: -9d2d00a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 17*i - 12. Let t(h) = 611*h - 429. Let r(p) = -4*t(p) + 143*v(p). Let a(o) = -6*o**2. Determine a(r(n)).\nAnswer: -1014*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/756*-15*(-3)\/5?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*o**4 - o**3*z - 3*o**3 - 345*o**2*z wrt o?\nAnswer: -528*o - 6*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 49325222382 - 0.07?\nAnswer: 49325222381.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -624\/187 + 38\/11. What is the third biggest value in -1\/2, 7, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, i: 3, o: 3, s: 7, t: 4}. Give prob of picking 4 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**2 - 2. Calculate the remainder when m(5) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38988346723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 - 5*f**2 - 7*f**2. Let q(o) = 2 - 3 + 1 - o. Determine y(q(s)).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 500059772 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssee when four letters picked without replacement from {s: 7, e: 5, k: 2, w: 5}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(156) + sqrt(156)*-3))\/(1*-3*sqrt(12)) + -5.\nAnswer: -10*sqrt(13)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -565 less than or equal to -534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.040613359 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*y = 54*y + y + 320 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -723, -718, -757, -834, -943, -1078, -1233, -1402?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 961.21 rounded to the nearest 10?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 124 - 69. Suppose -3 + 183 - 300*i + v*i**4 - 50*i**3 - 50*i**4 + 32*i**2 + 153*i**2 = 0. Calculate i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35 + -25. Let c be (-76)\/(-10) + -7 - (-194)\/t. Solve 7*l = 3*l - c, 3 = 4*r - 3*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1849\/3 - 1\/3*z**2 + 86\/3*z.\nAnswer: -(z - 43)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + v**2 - v. Suppose 3*t - 3 = -2*d, -2*d - 3*t = t - 4. Let y be s(d). Which is the nearest to y?  (a) 2\/3  (b) 5  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -27*n**3 - 38795*n - 5701124?\nAnswer: -81*n**2 - 38795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 3*c - 35 = 0, x + c = 2*x - 9. Suppose 0 = 5*o - 5*b - 31 - x, 5*o + 2*b - 21 = 0. Solve o*l = 3*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b - 12. Give t(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 10244*5.3\nAnswer: 54293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 572, 566, 556, 542, 524, 502?\n\"Answer: -2*u**2 + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*b**4*q**3 + 2*b**3*q**3 - 2*b**3*q - 14*b**2*q**3 - 17*b**2*q**2 + b*q**2 wrt b?\nAnswer: 72*b*q**3 + 12*q**3 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -104, -895, -2206, -4037, -6388?\n\"Answer: -260*p**2 - 11*p + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 + 20 = 8*x. Let u(q) = 73*q**2 - q - 1. Let j be u(x). Is 0 + -2 + (j - 0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 + 3*y**2 + 4*y + 2. Let d be a(4). Suppose -3*v + 5*b - 420 = 6*b, 567 = -4*v + b. Let f = v - -146. Solve -3 = f*i + d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -5*f**5 - 10*f**4 + 35*f**3 - 20*f**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12225580891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2*c + 88. Let n be t(-44). Let b(u) be the first derivative of 0*u**5 + 7 + 0*u - 1\/12*u**4 + 1\/36*u**6 + 1\/12*u**2 + n*u**3. What is z in b(z) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + -5 + 6 - (23 + -25)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 12. Let m = n + -12.4. Let t = -0.1 + m. Which is the second smallest value?  (a) t  (b) 0.1  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122110221222 (base 3) to base 15.\nAnswer: 6be25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 842591835 to the nearest integer?\nAnswer: 29027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22\/(-66) + (-23174)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 123088\/2058 - (10 + (-2354)\/231)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 121321840.\nAnswer: -1\/121321840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7058 - -7063. Let u(n) = n**3 - 4*n**2 + 11. Calculate u(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 36*p**3 + 12*p**2 + 12*p. Let d(z) = z**2 + z. Determine -12*d(c) + m(c).\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -4*n**2 - 17*n - 1. Let d(q) = -q**2 - 2*q + 1. Let s(i) = 5*d(i) - y(i). Calculate s(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1938195596 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-508)\/5)\/(2\/(-5)). Suppose h = 3*h - d. Suppose 4*j - 9 = h. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -5*a - 122. Let x be o(-24). What is the third biggest value in 12, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -871, -875, -877, -877, -875, -871, -865?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11850 and 150?\nAnswer: 11850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 118 divided by -59\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20 by -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i - 2*i - 2*i)*((-4 + 5 - 5)*(3 - 1 - 1) - 7 - 71 + 21).\nAnswer: -61*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 5*i + 6, u - 36*i + 4 = -41*i. Let k(h) = 37*h + 3. Determine k(u).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(605) + sqrt(605) + -1 + sqrt(605) + 0 + sqrt(605))*4.\nAnswer: -24 + 176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 204 (base 8) to base 14\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1520*k + 610*k - 592*k to r + c*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b*b**(1\/3)*b)\/b*b))\/b**(-10)*(b**3*b)\/((b\/(b*b**(3\/11)\/b))\/b*b*b) assuming b is positive.\nAnswer: b**(361\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 - 3*h + 3. Let n be l(-4). What is the closest to 0 in 0, 6\/5, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1264770673409 - 0.005?\nAnswer: 1264770673408.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(84)*6 - sqrt(84)*2*-5)\/((sqrt(132) - 2*(-2*sqrt(132) + sqrt(132)))\/(sqrt(121)\/(sqrt(44)\/sqrt(4)))).\nAnswer: 22*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 68009135 a multiple of 1045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {i: 4, z: 6, e: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -789 = -7*x - 726 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 - 12*t + 2. Determine m(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.2, 284, -1, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 180602885 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + -27. Let b be (13\/k)\/((-1)\/12). Suppose 2*r + 52 = b*r. Calculate the remainder when 37 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**3 - 20*a**2 - 29*a - 269. Give i(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 171 (base 8) to base 6\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5203 (base 10) to base 2\nAnswer: -1010001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -0.3, -5, 0.07?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 20 + -6 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 3*t + 2. Let b(w) = 206 - 126106*w + 126108*w - 205. Determine 5*b(f) - 4*h(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -114451\/49520 + -4\/3095. Calculate the common denominator of f and 13\/31518.\nAnswer: 252144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10 or -211?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -4*n**3\/3 - 3*n**2\/2 + 4*n + 13. Let y(v) = -5*v**2 - 4*v + 5. Let m(p) = 4*u(p) - 3*y(p). Give m(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 2*b + 54, -3*v + 15 + 30 = -3*b. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175836 < 175836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2230 - -5451345?\nAnswer: 5454015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -1, 8.\nAnswer: -1, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the third derivative of j**4\/24 - j**3\/6 + j**2. Let o be d(2). Suppose 3*x + 7 = -q, -q + 2*x + 4 - o = 0. Is -1\/10 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -208*f - 210 wrt f.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 113 = -2*j + 311, -2*v = -j - 132. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r - r**2 - 4*r)*(2 - 2 + 2)*(-1 + 0 - 2).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6104 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q. Let c(k) = 2*k. Determine 6*c(x) - 5*p(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 829 a factor of 561882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 295 and 6455.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 376, -203, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.28 + 0.76. Let g = 0.38 - z. What is the nearest to 0 in g, -5, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 21*a - 4 + 4 to the form y*a + m and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (18\/225)\/(12\/(-10))*-3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 - 7*p**2 - 9*p - 4. Let u be i(-6). Suppose 0*z - 3*v + 17 = z, 8 = 2*v. Let c = u - z. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80615584 and 20153896?\nAnswer: 80615584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 663, -1, -0.5, 6 in ascending order.\nAnswer: -1, -0.5, 6, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -688900*d**5 + 257613740*d**4 + 272752499*d**3 - 503367846*d**2 - 25978743*d - 330750 = 0 for d.\nAnswer: -2, -21\/830, 1, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - 4*v + 7*v)*(4 + 0 - 2) - 1 + 2*v + 1 + (-2*v + 3*v + v)*(1 + 4 - 7) + (-13*v + 0*v - 3 + 11*v)*(-11 + 2 - 9) - 4*v - 9 + 9.\nAnswer: 34*v + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -19*p + 14*p - 360811, o - p = 180410. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2671*p + 20*p**2 - 2671*p.\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -27486, -109962, -247424, -439872, -687306, -989726, -1347132?\n\"Answer: -27493*t**2 + 3*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11 - (0\/(-3) + -1). Calculate the common denominator of (-168)\/80*5\/a and 26\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 35*n**2 - 20*n - 289. What are the prime factors of r(-22)?\nAnswer: 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 351565862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 509054 is divided by 3743.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + x + 3 = 0, 0*g = -3*g - 3*x - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -23*r + 156. Let p be h(7). What is the nearest to p in -2, 4, 1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4949774 is divided by 355.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -880 + 883. Which is the closest to -1?  (a) -4  (b) q  (c) -2  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -5420201*r**2. Let i(p) = 29*p. Determine i(s(d)).\nAnswer: -157185829*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -453 times -191076?\nAnswer: 86557428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 3 = -4*g + 5*q, -3*g - 3 = -3*q. Suppose -835 = -4*z + l, -2*l = -g + 1. What is the first derivative of 11*m + 4*m - 208 + z wrt m?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 - 5*z**2 + 7*z + 6. Let j be r(-6). Suppose j*t - 162 = 2*t. Let p = -29 - t. Calculate the highest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 935218 by -467609.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 221210202012 - -12?\nAnswer: 221210202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (196\/(-35))\/((-40)\/(-100))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f. Let u be n(5). Suppose 18 - 3 = u*a. Let c be (0\/(-1))\/(-1 - -3). Solve c = -m - a*m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -5. Suppose 2*q = 31 - c. Suppose 3 - q = -j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2982 less than 4.78?\nAnswer: 2986.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/21, -5, -199, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -6d235 (base 14) to base 13\nAnswer: -94473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10111, 40333, 90669, 161119, 251683, 362361?\nAnswer: 493153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(5\/4)*r)\/r**3*r**(-7)\/(r\/(r\/(r\/r**(1\/13))*r)))**(27\/4))**9 assuming r is positive.\nAnswer: r**(-96957\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + 0 + 2 + -2*sqrt(432).\nAnswer: -23*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 533*l**2. Let x(k) = 11*k + 12. Let y(b) = -9*b - 10. Let r(h) = 5*x(h) + 6*y(h). Give r(t(m)).\nAnswer: 533*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or -422?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*a - 21*a. Suppose a*f = 4*k + 5*f - 1008, -5*f = 20. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, 1935, -10, -3, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -6. Suppose -78*h - 170 = -112*h. Suppose 0 = a*j - h*q - 45, -j - 5*q = 4*j - 25. Let f(t) = -t**3 + 7*t**2 - t + 8. What is f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -697 and -3.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3449533 and 10956829?\nAnswer: 8689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 831*r**2 + 5*r - 7766 with respect to r.\nAnswer: 1662*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -556, -542, -528, -514, -500?\n\"Answer: 14*p - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2079984 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -5) + -23 + 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 4*o + 33. Determine d(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*((-3)\/(-10))\/((-54)\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-887*h**3 + 723*h**3 + 785*h**3)*(4*h + 2*h**2 + 2*h - 5*h).\nAnswer: 1242*h**5 + 621*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27775.\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0628456 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 28796193 to the power of 1\/2, to the nearest integer?\nAnswer: 5366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1.4*-5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3\/5 - 24*z**2\/5 + 21*z + 882\/5.\nAnswer: -3*(z - 6)*(z + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*19.1742.\nAnswer: 38.3484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 - (-3)\/2)*(-16)\/(-24). Let m(v) be the first derivative of 0*v**2 - k*v**3 - 1 + 0*v - 3\/4*v**4. Find the third derivative of m(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -213, 150, 513, 876?\nAnswer: 1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10.8321  (b) 2\/7  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*v - 72 = -39*v. Suppose -5*w = 3*c + 913015, 4*c + 182620 = v*w - 5*w. Round w to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 2:16 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -9*c + 2. Let b(v) = v**2. Calculate b(h(m)).\nAnswer: 81*m**2 - 36*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 157397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2 - -0.4. Let g be ((-6)\/17)\/(12\/(-136)). Which is the second smallest value?  (a) g  (b) v  (c) -0.1  (d) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 10 = -3*h, -669 = -2*h + 4*l - 681 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 1672*l**3 - l**2. Let g be d(1). Suppose 33*h + g = 36*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 916223 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 37*h - 8 + 24*h - 53*h. Let y be n(2). Solve -22 = 6*z + y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 + s**2 - s**3 + (6*s**2 - 2*s**2 + 2*s**2)*(-5 + 5 + 2*s) - s**3 - 2*s**3 + 2*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 5*x. Let j(f) = -71*f**2 - 165 + 75 + 90. What is r(j(n))?\nAnswer: -355*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -585 + 169 = -26*c. Calculate the remainder when 87 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 2*a + 17775. Suppose -3*r = i + 2*r - 699, -a = -5*i + 5*r. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -902, -1833, -2826, -3923, -5166, -6597?\n\"Answer: -7*y**3 + 11*y**2 - 915*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 137a61 (base 15) to base 8.\nAnswer: 3446400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38*h - 173 + 173)*(8*h**4 - 12*h**4 + 25*h**4).\nAnswer: -798*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -13*(-104)\/21632*10*1?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 47001151*r. Let m(o) = 4*o. Give m(x(h)).\nAnswer: 188004604*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 25\/15 + 8\/6. Let j(w) be the first derivative of -2\/3*w**3 + 0*w + p - 1\/2*w**2. Find the second derivative of j(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -12, -t = -n - 0 - 26. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 34 and 20.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/(c**(4\/19)*c))*c\/c**(-32\/5))\/(c**(2\/45))**(-4) assuming c is positive.\nAnswer: c**(7514\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 11:45 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -5*h + 3. Let n(c) = -10*c + 4. Let v be 1*12\/(4 - 1). Let f(s) = -2 + 21*s - 4 - 2 - 2*s. Let d(z) = v*f(z) + 7*n(z). Calculate -3*d(o) - 4*x(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 204052 (base 6) in base 10?\nAnswer: 16448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228756 is divided by 4760.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**3 - 14*a - 5*a + 33*a - 14*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 greater than -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 - -11*(-3 + 4). Let u(x) = x**3 - 7*x**2 - 8*x + 10. What is the tens digit of u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n + 8. Let h be l(-6). Suppose -23 = -3*v - 5*j, 0 = v + j - 4*j - 17. Let i be 132\/v*2\/6. Solve i*s + 15 = 3*c, 3 = c - 3*s - h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -714*r**5 - r**3 - 1283*r?\nAnswer: -14280*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 2278102857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (9 - 50\/5)\/((-3)\/42843) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -75 + 473. List the prime factors of l.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + ((-12)\/8 - 0))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -952032447 divided by -243?\nAnswer: 3917829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32 + 21. Let y = l + 12. Suppose 0 = -0*z - z - y. Which is the nearest to -1?  (a) -0.2  (b) z  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/4 + -4)\/((-3)\/474). Which is smaller: s or 406?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -38?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (7 + 7 - 3) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -19.2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 176 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 698.67 seconds in microseconds?\nAnswer: 698670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 9354.\nAnswer: -1\/3118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of 7*c**5\/120 + 2*c**3\/3 - 5*c**2. Let o(s) be the first derivative of i(s). Let f(k) = -k**2. Calculate f(o(l)).\nAnswer: -49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 6. Let p be 10 + 0 - (i + 1). What are the prime factors of (-2)\/3 - (-56)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 12675, 25810, 38945, 52080, 65215, 78350?\n\"Answer: 13135*z - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((60\/8)\/(-3))\/((-8)\/(-16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 29 and 10203679.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.1  (b) 2  (c) -4464\/11  (d) -3\/4  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -5*h - 4*g, 2*h + g - 15 = -6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a second in milliseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9239*t*v**3 + 431*t*v - 2*t + 4*v - 1 wrt v?\nAnswer: -55434*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 126, 676, 2172, 5088, 9898, 17076, 27096, 40432?\n\"Answer: 79*o**3 - o**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*c**3 + 31*c**3 - 54*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/467300 and 9\/934600.\nAnswer: 934600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -505*y**2 - 4*y - 10. Let w(q) = -509*q**2 - 3*q - 8. Calculate 4*f(x) - 5*w(x).\nAnswer: 525*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 63925 = 5*s, b = -7*s + 12*s - 63905. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*a**3 + 241*a**3 - 126*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*a = 45*a + 22. Let h = 0 - 0. What is the units digit of (a*33)\/(-2 - h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12921373013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/(-3)*24\/(-20). Suppose -m - 9 = -p*m. Solve 2*i = -m*w + w - 2, -5 = 5*i - 4*w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -164339149\nAnswer: 3\/164339149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1885 = -5*y + 10*d + 1700, -5*y + d - 221 = 0 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 316\/7 - 3153\/70. Let i(k) be the second derivative of 0 - 10*k + 0*k**4 - 2*k**2 - k**3 + x*k**5. Factor i(t).\nAnswer: 2*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -65793 (base 14) to base 12\nAnswer: -ba245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-2*sqrt(28))**2*4 + sqrt(28) + 0 + 0 - (-2 + sqrt(63)\/(sqrt(576)*-2))).\nAnswer: -2700 - 99*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1329 + -43847\/33. What is the common denominator of j and 106\/(-8) + (36\/(-9) - -2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 6 = -o + 1, -j + 3*o - 14 = 0. Suppose -5*w + j = 6. Let c = 2 - w. Solve 4 - c = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-5*(sqrt(304) + sqrt(304) + 1) - sqrt(304) - (3 + -1 + sqrt(304)) - -1*(-4 + sqrt(304) + -1)))**2.\nAnswer: 26400*sqrt(19) + 923200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -146*k**4 + 95.\nAnswer: -584*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6864546 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of -j**6\/90 + j**5\/8 + j**4\/6 + 2*j**3 + 18*j. Let s(u) be the second derivative of h(u). Factor s(f).\nAnswer: -(f - 4)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -5*u - 18. Let o(f) = 28*f + 91. Let h(w) = 11*l(w) + 2*o(w). Determine h(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5001246 (base 8) in base 14?\nAnswer: -261cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 5*c - 73 = 0, w - 83437*c = -83438*c - 19 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.509629 rounded to 2 decimal places?\nAnswer: 93.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 450224 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3922752199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -3 + (1*sqrt(95)\/sqrt(5)*-4)**2 + 3*(sqrt(684)*-1*-5)**2.\nAnswer: 51601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -0.5  (c) -3\/34  (d) 1\/26  (e) -5  (f) -18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3*3*5\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88)\/sqrt(4) - sqrt(22))\/sqrt(2) + (sqrt(132)\/sqrt(6))\/sqrt(2))*4*3.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 17*l - 11*l - 3*l. Let n(j) = 2*j - j - 3*j. Determine n(h(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/2*-1*(-1955)\/(-1564)*18\/5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 2\/125 of a tonne?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 377122613*b**3*n**3 - 22*b**3 - 2027*b**2*n**2 - 63*b wrt n.\nAnswer: 2262735678*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 8908203, 8908212, 8908229, 8908254, 8908287, 8908328?\n\"Answer: 4*c**2 - 3*c + 8908202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g + 5*g + 0*g + 2 + g**2. Let z be s(-3). Suppose z*k = -3*i - 4, -2*k - 19 + 7 = -i. Calculate the smallest common multiple of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-2*sqrt(91)*6)\/sqrt(7) - (-1 + (-2*sqrt(65))\/sqrt(5) + 2)**2) + -3.\nAnswer: -56*sqrt(13) - 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 228, 460, 696, 936, 1180, 1428, 1680?\n\"Answer: 2*q**2 + 226*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.019568 rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7015 take away -63?\nAnswer: -6952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.91 + 0.09. Suppose -r = -2*r - 2, -5*r = -s - 7. Let o be s + 20 - (-28)\/(-12). What is the nearest to o in b, 2\/21, -0.4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 51. Let z = 8915.5484 - 8872.5483924. Let c = z + u. Round c to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1024085 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2970 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - l + 2 = 0, 4*i + 5*l + 302 = 312 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15 - -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 73 - 104. Let c = 1669 - 1609. Let o = c + w. Solve k + o = 5*q, q - 4*k - 31 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832)*-3)**2 + sqrt(13) + -5*(2*sqrt(13) - sqrt(13)).\nAnswer: -4*sqrt(13) + 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 394565474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48 = -145*m + 153*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/(-14))\/((-4)\/(-28)). Solve -9*c**2 - 3*c**3 + 2*c**4 - 3*c**3 + 3 + 11*c**q + 6*c - 7 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mtjtttbbj. What is prob of picking 2 t and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 224184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 342*i. Let h(n) = 2*n**2. Calculate w(h(z)).\nAnswer: 684*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1469 + (5\/80*-8)\/(1\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 18023301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.11 - 0.11. Let i be ((-1)\/3 + (-102)\/18)\/(2340\/(-520)). What is the biggest value in i, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -184 minus 0.15566?\nAnswer: -184.15566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-7134)\/(-1044) + (-20)\/(-6). Is y less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c + 392 - 412. Suppose -16*d + c*b + 25 = -15*d, -b - 64 = -2*d. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*q - 13. Let a = 103 + q. Let i = a - -45. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (22*w - 4*w**2 - 12*w - 8*w)*(-w - 3*w**2 + 0*w + 0*w**2) as x*w**3 + p + i*w + q*w**4 + y*w**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 6 + 1 = 0. Let x(c) = -22*c + 9. Is x(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (8 - (-3 - -6)) - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 minus 4738597954561?\nAnswer: -4738597954560.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 1 + (-4 - 5 + 0)*(1 + 2 - 5))*(-2 - 1 + 2)*(-2*q**2 + q**2 + 2*q**2)*(-2 + 5 + 0).\nAnswer: -57*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**3 - 14*i**2 + 132*i + 616. Give x(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from yscsyycyycsyyyys.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 175 + 418 + 413 = 0. Calculate the remainder when a is divided by 84.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of -h**2 - 1\/6*h**3 + 3*h + 0. Give d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 8*g = -6. Suppose 4*x = -2*d + 4, -4*x - 2*d - d = -g. Suppose -3*c = -0*c - x*n + 11, 0 = -4*c + 2*n - 12. Is c less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k - 9*k - 4*k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 12117*w + 4. Let q be k(6). Let h = q - -29377. Let m = -477917 - h. What is m rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of x**3\/3 - 2. Let y(m) = m**3 + 7*m**2 - 1. What is 6*v(k) - y(k)?\nAnswer: -k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (3\/(-12)*-274)\/(7\/14) and 1?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 795756 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -68198 + 68200. Let k = 8 + -4. Solve -3 = 3*b + 3*v, y*v + k = -0*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 6*i - 20 = 0, -1 = 2*h - 653*i + 652*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5876, -11772, -17668, -23564, -29460?\nAnswer: -35356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -899691*w. Let q(l) = -4*l**2. Calculate q(n(p)).\nAnswer: -3237775581924*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 396 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.018898, -1, -7, 0.1.\nAnswer: -7, -1, 0.018898, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(525\/6))\/(5\/(-25))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 351544116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 771007611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 748944 and 8916.\nAnswer: 748944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 8*f**3 - f**2 + 8*f. Let m(h) = 12*h**3 + 3*h**2 + 12*h + 5. Let n(g) = g**3 - g**2 + g - 1. Let o(q) = m(q) + 5*n(q). Calculate 13*j(b) - 6*o(b).\nAnswer: 2*b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q**2 - 59280*q**3 - 10*q**4 + 4 + 2*q**2 - 3*q**4 + q + 59281*q**3 to n*q + t*q**4 + m + f*q**2 + g*q**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*l + 154 = -49 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 832*n**4\/7 - 57248*n**3\/7 + 17252*n**2\/7 + 19412*n\/7 + 411 = 0. Calculate n.\nAnswer: -1\/4, 21\/26, 137\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4423195, -4423194, -4423193, -4423192, -4423191, -4423190?\n\"Answer: q - 4423196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 7. Let v be (-75)\/69 + (m - 2) + 6. What is the closest to -0.1 in v, 1, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*s - 316*s**4 - 1 - 2*s - 2*s**3 + 2*s**2 - 247*s**4 + 668*s**4 to the form f*s**3 + p*s**2 + t + c*s**4 + b*s and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 6*y - 60. Let j = 22 - 14. Let q = j - 5. Calculate the least common multiple of b(11) and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 8:11 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.43606 to 1 decimal place.\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/2 + 88*k + 1330.\nAnswer: -(k - 190)*(k + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -147 - -224. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 4, 117, -5 in ascending order.\nAnswer: -5, 0.1, 4, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 53, 2, 3 in decreasing order.\nAnswer: 53, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u*u*u\/(u**(-2)\/u))))**(2\/11)*u**(-6)\/(u**(-2)\/u)*u**(-1)*u*u**(-3)*((u*u**5)\/u)\/(u**(-8)*u) assuming u is positive.\nAnswer: u**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 l, and 2 f when four letters picked without replacement from nrrnldrlrfftnll?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(297)\/(1*(sqrt(11) + sqrt(1331))))\/(sqrt(63)\/sqrt(1008)*3).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.2 and 0.3?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -255, -230, -185, -120, -35, 70, 195?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*4\/(-30)*(-1)\/(10\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (2 - (7 - 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 46*l + 7. Let p(q) = 90*q + 13. Determine 6*p(g) - 11*r(g).\nAnswer: 34*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*i - 25 + 3. Let q(f) = -12*f**2 + 2*f + 6. Let o be q(i). Put 4, o, 1 in ascending order.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {f: 2, y: 5, o: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(152)*2 - sqrt(152) - sqrt(152) - sqrt(152)))\/((1*sqrt(40))\/sqrt(5)) + -6*(sqrt(19) + 3*sqrt(19) + -5) + 3)**2*-3.\nAnswer: -54567 + 5940*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -0*y - 20. Suppose -y*u + 422 = 112. Is u at least as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 7:16 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.30197 less than or equal to 1684\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -11. Suppose o*y = -2278 - 3422. Round y to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/(-2))\/(6\/(-12)). Let r be (3 - v)\/((-23)\/(-115)). Solve 8 = 2*j + 2*m, -5*m = -3*j - 2*j - r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 12. Suppose -s + 2*s = n. Suppose -j - 13 = -4*g + s, -3*j + 6 = 3*g. Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x. Let i(q) = 66*q. What is f(i(b))?\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of 1\/240*b**5 - 1\/160*b**6 + 1\/32*b**4 - 1\/24*b**3 - 3\/2*b**2 + 0 - b. Let m(w) be the first derivative of g(w). Factor m(r).\nAnswer: -(r - 1)*(r + 1)*(3*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p - 8*p = -300. Solve 5*b - 5*y = 0, -6 = -3*b + p*y - 15*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 31*u - 12*u = 59, 5*g - 361*u = -365*u + 101 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 6*y**3 + y**2 + 14*y - 16. Determine a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**(-12\/11)*n)*n)\/(n*n\/n**(-12)) assuming n is positive.\nAnswer: n**(-131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**3\/5 - 3*z**2 - 4*z\/5 + 12 = 0?\nAnswer: -2, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1955932.4713 to the nearest 100.\nAnswer: 1955900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4301892 - v**3 + 4301892.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*o - 1 - 51 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1044, 3573, 7780, 13653, 21180, 30349?\nAnswer: 41148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 8:40 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3 + 9 = -g, 4*g + 23 = -3*p. Let h = p - -5. Is 8 a factor of (h - -38) + (-2)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 4)*(c**2 + c**2 - 4*c**2)*((5*c + 2 - 2)*(3 - 1 + 2) + 3 - 3 + 3*c).\nAnswer: 46*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -109, 256, -2, 3 in ascending order.\nAnswer: -109, -2, 3, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227371 is divided by 1307.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/3  (b) 3  (c) -27  (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + 105*m + 595. Give g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -6*w + 18. What is y(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -11*c - 51. Calculate y(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10712 + 19691. What are the prime factors of i?\nAnswer: 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -26459\/1621 equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2783794, -5567592, -8351404, -11135236, -13919094?\n\"Answer: -f**3 - f**2 - 2783788*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -6 - 7*x - 3 - x**2 + 3. Let b be v(-6). Suppose 5*j - 3*p - 161 = 0, p - 29 = -j - b*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2935026, -5870044, -8805052, -11740050, -14675038, -17610016, -20544984?\n\"Answer: 5*p**2 - 2935033*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*m - 3*m + 5264. Suppose -5*j + 6*j = -5*c + m, 5*j + 110 = 2*c. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1096241 is divided by 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1473 + -3621402?\nAnswer: -3623075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-4) + (-7)\/(-2). Suppose 4*p - b = -3 - 0, -2*p + 9 = k*b. Let s be -1*((-6)\/(-4))\/((-6)\/8). Sort s, p, 4 in descending order.\nAnswer: 4, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) -0.4  (c) -3  (d) -4  (e) -155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/(-35*498\/(-2905))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 521930 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 206, 13 in increasing order.\nAnswer: -2, 2, 13, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21202210 (base 3) to base 14.\nAnswer: -20c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-1\/2)*r)**(2\/31)*r*r**3*r\/((r*r**1)\/r) assuming r is positive.\nAnswer: r**(127\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/11 - 8453408*o\/11 - 8932513351808\/11.\nAnswer: -2*(o + 2113352)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -10*(-60)\/400*4\/(-129)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/11919132 and -131\/23934?\nAnswer: 11919132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2546\/57 - (-2)\/6. Suppose 3*y = 18 + v. Let i(m) = -11*m + 102. Calculate the remainder when i(0) is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1  (b) -44722  (c) -0.4  (d) -5  (e) -2\/9  (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8434*t**2 + 4*t - 1402 wrt t.\nAnswer: -16868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**2\/5 - 106832784*v\/5 - 1426655467148832\/5 = 0.\nAnswer: -26708196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-13 - -11) - (-1 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 331 (base 6) to base 8.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-5)*y*y**(-11))**(-6) assuming y is positive.\nAnswer: y**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6282 - 12506 = -530*t - 5538 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, w: 3, z: 3}. Give prob of sequence bzb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 122059 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of -n**8\/4200 - n**7\/350 - n**6\/100 - n**5\/75 - 29*n**3\/6 + 24*n**2. Let p(o) be the first derivative of u(o). Factor p(l).\nAnswer: -2*l*(l + 1)**2*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - 20\/2 - -18590. Is t <= 18581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -331 + 544. Let c = -213.0053 + p. Round c to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 20*x - 85. Let v be y(6). Calculate the greatest common divisor of v and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.01 - 0.01. Let c be (-1 + 2 + 1)\/(-11). Let q be 0 + 4 - 58\/16. What is the biggest value in n, q, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -58611234.6 - 398735.\nAnswer: -59009969.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(171) + 1 - (sqrt(171) + 6*(2 + sqrt(171))**2 + sqrt(171)) - (sqrt(228) + -4*(sqrt(228) - 3*sqrt(228)))\/(sqrt(108)*1).\nAnswer: -1046 - 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 671.062744 to the nearest 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1024 (base 7) to base 14\nAnswer: 1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 7*k**2 + 5*k - 2. Let p(y) = -y**3 + y**2 + y + 1. Let h(i) = -2*p(i) + q(i). Determine h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z. Let p be o(1). Let j(d) = -1 + d**3 - d**p + d**2. Let n = -10873 - -10874. Let g(f) = 3*f**3 - 2*f - 2. What is n*g(y) - 5*j(y)?\nAnswer: -2*y**3 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-20)\/25)\/((-2)\/(-5)). Let c be (2 + -2)\/d - 0. Find the third derivative of -5*z**2 + c*z**2 - z**2 + 4*z**5 + 2*z**5 wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.5  (b) -2\/15  (c) 77.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 98831 - 12847833\/130. Let r = -3683\/9035 - -31\/139. Let a = r - g. Find the common denominator of a and -149\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i. Let y(o) = o. Let k(b) = -6*f(b) - 13*y(b). Let x(h) = -2*h. Suppose -18*r = -400 + 418. Determine r*x(w) + 3*k(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4930*v**2 - 1529*v**2 - 3402*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.214 and 0.01.\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.210711089 take away 0.2?\nAnswer: -0.410711089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/584277 and 76\/477.\nAnswer: 92900043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 45 and 0.4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -3*o**2 - 4*o + 4. Let q(m) = -7*m**2 - 9*m + 9. Let g(t) = 9*i(t) - 4*q(t). Let b(k) = 4*k - 1. Calculate g(b(x)).\nAnswer: 16*x**2 - 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (18\/(-10))\/(3\/(-20)) is divided by (-1)\/(1*(-2)\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-800)\/75)\/((-4)\/2589). Is 6904 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.322928 and -58744.\nAnswer: -58742.677072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.491 - 3.49067248. Round i to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.07 to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**2 + 2*d**2 - 4*d**2)*(-26 - 21 + 51)*(3 + 3 + 4)*(1 + 0 + 9).\nAnswer: -400*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-24))\/((-12)\/16)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 15 = -u, 3*r + 2*u + 0*u = 9. Let g(t) = -t**2 - 9*t - 3. Let a(d) = 2*d**2 + 10*d + 2. Let z(p) = r*g(p) + 2*a(p). Calculate z(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-2 + sqrt(16)\/sqrt(8) - sqrt(2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*-6*6\/72?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 80476 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26 + 2*x**2 - 19 - 22 - 3*x + 5*x**4 + 9*x - x**3 + 68 to the form m*x**3 + f*x**4 + d*x + k + u*x**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172*l + 178*l - 318 = 0. What is the remainder when l is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2806 - 5)\/(-1) + 7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -3*s**3 - 12 - 8 + 12*s**2 + 4*s**3 - 18*s + 1. Let m be u(-14). Let y = -84 - m. What is the greatest common divisor of y and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8.34 + 8.9552. Let x = 0.61 - d. Round x to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -13, -1091 in increasing order.\nAnswer: -1091, -13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -70 + -1. Let q = o + 74. Suppose -q*n + 2*n = -39. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*((-28)\/(-6))\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17448 and 58160.\nAnswer: 174480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 123186 and 5028.\nAnswer: 246372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2182 (base 9) to base 12\nAnswer: -b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.5, 2\/9, 74 in increasing order.\nAnswer: 2\/9, 0.5, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9364.7 + -9365. Let m = 5\/262 - 5557\/2882. Let p = m - -211\/99. Which is the smallest value?  (a) -4  (b) u  (c) p  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 350992 divided by -3\nAnswer: -350992\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -13  (b) -0.04  (c) -60  (d) 1\/7  (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 456787 to the power of 1\/2, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(0 + sqrt(448)*-3 + (((-3*sqrt(140) + sqrt(140) + sqrt(140))\/sqrt(5))\/sqrt(4))**2) + 4 + 2.\nAnswer: -22 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g - 46 = -p, -50*g = 5*p - 14*g - 13*g - 19*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 216006 - 10?\nAnswer: 215666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -175*p + 128*p + 1512 = -101*p for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 3*z - 2*r, 2*r - 46 = -36231*z + 36215*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q. Let a be ((-18)\/15)\/(14\/(-35)). Let x(z) be the first derivative of -3*z**3 + 6*z**3 - 2*z**3 - 3*z**a - 8. Determine u(x(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 - 4*h**3 - 4*h**2 + 3*h**2 + (-3*h**3 + 2*h**3 + 0*h**3)*(2 + 0 - 4))*(5*h + 2 - 5*h + h)*(8 + 13 - 8).\nAnswer: -26*h**4 - 26*h**3 + 52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -3*z**3 + 3*z**2 - 3*z + 9. Determine v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 2 - 2)*(0*k - 2*k + k) - 5*k**2 + 7*k**2 + 8*k**2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11105 + 11251 + 2*k**3 - 2*k - 23429 + 2*k**2 to the form d*k**3 + v + u*k + p*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 678, -34, 2.\nAnswer: -34, 0, 2, 678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 5773 to the nearest 100.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8129 times -1?\nAnswer: 0.8129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 2*a**5 + 9088*a**4 - 63724*a**3 - 45288*a**2 + 1009962*a - 1638360 = 0?\nAnswer: -4551, -4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 2*o + 88. Suppose -2*v + o = 2*v. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2516 and 273356.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -5698 at most as big as -5714962\/1003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of g**7\/420 - 2*g**6\/15 + 47*g**5\/20 - 15*g**4\/2 - 225*g**3\/4 - 6138*g**2. Let p(s) = 0. What is s?\nAnswer: -1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-260)\/(-16))\/((15\/(-24))\/5). What is the tens digit of ((-16)\/(-10))\/((-4)\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -41, -273, -785, -1679, -3057?\nAnswer: -5021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22484859\/208 - -108100. What is the common denominator of g and -109\/112?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4298 by 307.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by -22749?\nAnswer: -3\/7583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*o = 13*o - 35 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 5*w**2 - 3*w - 7. Let r be p(-5). Let a(y) = y**3 - 9*y**2 + 10*y - 14. Let z be a(r). Solve -2*x - 1 = k, -5 = -k + 2*x + z*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-32)\/20 - (-2)\/(-5). Let x be (-3 + -2)*z\/10. Is 1\/10 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1476 + 3680. List the prime factors of n.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(1088) - 4*(sqrt(1088) + -1*sqrt(1088)) - (-4*(sqrt(1088) + -1*sqrt(1088)) - sqrt(1088)))**2.\nAnswer: -17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -564271, -1128981, -1693691, -2258401, -2823111?\nAnswer: -3387821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 410, 4701, 16348, 39029, 76422, 132205, 210056, 313653?\n\"Answer: 613*n**3 - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*33848213.\nAnswer: -3384821.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04, -0.03, 0.035 in descending order.\nAnswer: 0.035, -0.03, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 6:21 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -30*p - 24 - 2*p + 24. Let u be b(-2). Let c be ((5 - 0) + -1)\/((-1)\/(-24)). What is the highest common factor of c and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(51)\/sqrt(3)*6 + 0.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dpqy when four letters picked without replacement from {y: 1, p: 1, r: 1, q: 1, d: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 49 = u - 62, 3*w = 3*u - 297. What is the remainder when u is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l**(-15))\/l)\/l*l\/l**(-32)*l assuming l is positive.\nAnswer: l**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -8*a**3 - 63*a**2 - 47*a + 21. Give r(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*y**2 - 1941*y + 314100.\nAnswer: -3*(y - 100)*(4*y + 1047)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -57683, -115225, -172673, -230027, -287287, -344453?\n\"Answer: 47*c**2 - 57683*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 306305813 + -0.3.\nAnswer: 306305812.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101121221200002 + 1001?\nAnswer: 101121221201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 230.406 litres in millilitres?\nAnswer: 230406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -3*g**4\/8 - 4*g**3\/3 + g**2. Suppose 72 = -81*f + 45*f. Let s be b(f). Solve 2*u + s = -4*d, -2*d - 4*u = -0*d + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of -c**6\/120 - c**5\/20 + c**3\/3 - c**2. Let k(x) = 2*x + 3*x - 4*x - 10 + 1. Let o be k(6). Calculate d(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/(-38))\/8 + (141\/(-285) - -3)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -6 - (3 - 155\/15). Which is the second biggest value?  (a) v  (b) -4  (c) 4  (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*f - 7*f**5 - 51*f - 12*f**5 wrt f.\nAnswer: -380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 775 and 155.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 366.04 + -85.08. Round y to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -60685500 to the nearest one hundred thousand.\nAnswer: -60700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-1\/2)*z)\/(z*z\/(z**(2\/73)\/z))*z**2*z*z\/z**(1\/9)*z*z assuming z is positive.\nAnswer: z**(5803\/1314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-10) + (-2014)\/(-40). Let i = w + -51. Which is the smallest value?  (a) i  (b) -0.1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = q - 75, -18*q + 3*o + 80 = -17*q. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-12394)\/(-10) - 4\/10. Suppose 0 = 4*c - 3*c + i. Let o be c\/2 + 3\/(-6). What is o rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34 - -27. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.089728 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75469, 603646, 2037275, 4829086, 9431809, 16298174, 25880911?\nAnswer: 38632750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 16 = -70*z + 68*z, -5*z - 35 = 5*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-161)\/(-6) + 4\/24. Suppose 4*c - 49 = t - 20, -2*c + 3*t = -m. Suppose -3*x + 6 + c = 0. What is the least common multiple of x and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4240, -16713, -37350, -66031, -102636?\n\"Answer: 20*r**3 - 4202*r**2 - 7*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 473*a = r + 472*a - 10 - 4, -3*a = -4*r + 7*r + 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 1 + sqrt(68) + -3)**2.\nAnswer: -8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-4\/25))**(5\/8)\/(v**40)**30 assuming v is positive.\nAnswer: v**(-47979\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149, -805, -1897, -3425, -5389, -7789, -10625?\nAnswer: -13897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 13*n**3 - 4*n**2 + n - 6. Let j(w) = 11*w**3 - 3*w**2 - 5. Determine 5*j(h) - 4*v(h).\nAnswer: 3*h**3 + h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2716)\/(-485) - (24\/(-15) + 1)*-1. Solve -5*z + 37 = 3*y, 0 = d*y - 5*z + 6 - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 176454894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 279 + -133. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.4032 - -0.4. Round u to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/14*(5\/((-2460)\/(-42)))\/(231\/462).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/56 and -16\/147.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -512*t + 330*t = -260*t - 1404 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13947118*a**3 + 15*a - 38*a + 23*a + 13947111*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/216*4)\/(278\/61716).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 15*h + 24. Let g(k) = k**3 - 19*k**2 + 47*k + 2. Let q be g(16). Give v(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 50165664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 11 - g**2 + 0 as l*g**2 + y + d*g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 - ((-216)\/(-16) + -13). Let t(v) be the first derivative of 14 + 2*v - 2\/3*v**3 - k*v**4 + v**2. What is s in t(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 3\/4, -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*d - 1 = -70 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**1)**(-3\/34)\/(l**(5\/4)*l**5*l) assuming l is positive.\nAnswer: l**(-499\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 160396 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -353832*a**3*q**2 + a**3*q + 2*a**3 + a**2*q + 7*a + 69*q wrt q?\nAnswer: -707664*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -455986590, -911973182, -1367959774, -1823946366, -2279932958, -2735919550?\nAnswer: -3191906142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 1*(1 + sqrt(192)))*2)**2.\nAnswer: -256*sqrt(3) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 - 7*a**2 - 5*a + 54. What is the units digit of p(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -65841, -68859, -71877, -74895?\n\"Answer: -3018*y - 62823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -4*h - 29. Suppose -4*y + 4*j = 36, j - 2*j + h = -3*y. What are the prime factors of 3\/(-9) + y\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 11) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -309, -4, -1049 in descending order.\nAnswer: -3, -4, -309, -1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + h = -1, k - 2*h = -0*k + 2. Find the third derivative of 0 - 12*s**3 + 13*s**3 + s**2 + k wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 24 = -1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -504 - -21b?\nAnswer: -2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 230164 and 704?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 + -26. Let k be 0 + (3\/(-6) - -2). What is the closest to 2\/7 in k, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/(132\/(-16)))\/(-6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -1. Let a(s) = -7*s**2 - 7*s - 6. Let b(k) = a(k) - 5*q(k). Let d(t) be the first derivative of b(t). Is d(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 4*d - 172, 2*d + 2*d = -5*w + 177. Suppose -a + 0*a + 10 = 0. What is the remainder when d is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007338511 rounded to 6 dps?\nAnswer: 0.007339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-868 - -875) + (-2 - ((-1 - 7) + -2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11688 and 5445147.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -200*w + 1611. Let c be l(8). Let r(d) = 15*d**2 - 57*d + 6. Let x(s) = 8*s**2 - 29*s + 3. Let p(g) = 6*r(g) - 11*x(g). What is p(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1000791.4274 from -140.\nAnswer: -1000931.4274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 7:18 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(8\/10))\/(1\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 36787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*q + 6*q**3 - 4*q + (3*q**2 - 3*q**2 - q**2)*(4*q - 5*q - 2*q) + (0 - 2*q**3 + 0)*(3 + 3 - 2).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 52100 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 4*r**2 + 2*r - 1. Suppose -2*d - 16 + 12 = 0. Let w be k(d). Let q(t) = -t**3 - 10*t**2 + 11*t + 1. Let n be q(-11). Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) - -3*sqrt(70)*-5)\/sqrt(10) - (4 + sqrt(448) + -1 + sqrt(448)).\nAnswer: -30*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(1 - (-2)\/(-4)). Let h = -11 - i. Let p be (-3)\/9 + (-1)\/(-39)*7. Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 - 69 + 41 = 25*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -616, -607, -598?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 2, 219, -0.05 in descending order.\nAnswer: 219, 2, -0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p - 1. Let h be t(5). Let l be ((-20)\/25)\/(h\/95). Sort -4, 2, l in ascending order.\nAnswer: -4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 6*o - 2*o + 16 = 0, -3*i - 8 = 2*o. Let t(q) be the first derivative of i*q**2 + 0*q - 1\/3*q**3 + 12. Let v(b) = -6*b. What is t(v(g))?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of -x**3\/3 + x**2\/2 - 3*x - 152. Let j(y) = 4*y**2 - 2 + 2*y**2 - 2*y - 4*y**2 + 6. Determine 3*a(f) + 2*j(f).\nAnswer: f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1218, -1215, -1212, -1209, -1206, -1203?\n\"Answer: 3*r - 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42\/(-4) + (-6)\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n - 1. Let o be s(-5). Let x be (1 + 0)\/(1\/7). Solve x = -3*f - o*j, f + 5 = -f - 3*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/72070 and 20\/7.\nAnswer: 504490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*(-2)\/(-4)*-5. Let j be (((-1224)\/48)\/17)\/(5\/2). What is the nearest to -2\/5 in -3, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2771 and 1793?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i + 4 - 1 - 1.\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0772089t to nanograms.\nAnswer: 77208900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -643.01 - -643. Let d = 7\/4 - 3\/2. What is the third biggest value in -2, -3, a, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002663 to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 6*h - 2. Let y be j(7). Let l = -4 - -13. Suppose 3*t - 6*t = -l. Sort -1, y, t in decreasing order.\nAnswer: y, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 - 5*p - 5. Let l(h) = 2*h**2 - 11*h - 11. Let n(m) = 7*f(m) - 3*l(m). Let a be n(-4). Suppose 3*i - a = 2. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 74, 4 in descending order.\nAnswer: 74, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 16 = -3*j + 1, 0 = -3*z - 3*j - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2538166733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 939 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2. Let h(w) = -13*w + 18*w - 16*w. Give m(h(k)).\nAnswer: 121*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1193 + 627. Let o = y - -1341. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (1 - (-75)\/27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((2 + sqrt(19) + 2 + sqrt(19))*-4 + 3 + sqrt(19) + (sqrt(19) + sqrt(19)*-1)*-1 + (-1*sqrt(76))\/sqrt(4)))**2.\nAnswer: 208*sqrt(19) + 1385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 8 - 65*t**3 + 11 - 38*t**2 + 68*t**3 to o*t**3 + f*t + i*t**2 + r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h**2 - 3. Let u be v(5). Let m be (-10282)\/(-291)*((-5)\/(-2) - 1). Let i = m - u. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16873*d**3 + 16973*d**3 + 0*d - 13*d**2 - 33980*d**3 + 0*d + 0*d.\nAnswer: -134*d**3 - 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 218, 352, 486, 620, 754, 888?\n\"Answer: 134*k + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*d**3 - 240*d**2 - 3105*d - 5290 = 0. What is d?\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 362.3 + -333. Let q = x - 29. Suppose -2*a - t = 24 - 17, 8 = -3*a - t. Do a and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -51*w + 28 - 26 + 304 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 592064 divided by 592064?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-1 + 5) + 4. Find the second derivative of 3*k**2 + 7*k**r - 17*k**2 - 5*k wrt k.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffhhaiihhihffhahf. What is prob of picking 2 f and 2 i?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 5:44 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11384, 11406, 11428, 11450?\n\"Answer: 22*s + 11362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 929\/55 - 74\/5. Which is the smallest value?  (a) -0.3  (b) -1\/2  (c) -0.1  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-5) + (-2111)\/(-5). Let r(w) = -423 + m - 3*w. Let x(b) = 5*b. Determine r(x(k)).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of 5*l**7\/42 + l**6\/15 - l**5 - 2*l**4\/3 + 20*l + 1. Find u, given that a(u) = 0.\nAnswer: -2, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -68347 by 5.\nAnswer: -68347\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zoo. What is prob of picking 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 - -0.0708781\nAnswer: 0.1008781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -233*n**4 + 233*n**4 - 26*n**5 + ((0 - 3 + 1)*(-n - 2*n + 2*n) - n + n - 3*n + (0 - 2 + 0)*(2 - 2 + n))*(-2*n - 2*n**4 + 2*n).\nAnswer: -20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 87.61712 millimeters?\nAnswer: 87617.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.171 + -0.229. Which is the closest to 2?  (a) -1\/6  (b) s  (c) 4\/3  (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 8*s - j + 131, -s = 5*j - 47. Let y = -51 + 62. Solve s - y = -7*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 u when three letters picked without replacement from {r: 4, t: 3, e: 6, u: 1, h: 4, f: 2}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 2*r - 5*d, 2*r + 2*d - 11 = 1. Suppose 652 = n - r*y + 5*y, 3*n - 4*y - 2021 = 0. Suppose 5*b - n = 2118. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 AM and 12:48 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1544 and 538277.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 2\/5, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -3*t + 91. Suppose 0 = -2*g - g + t. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6428, 2077, 10582, 19087?\nAnswer: 27592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 23 + 5. Is 286\/5*(o - 48\/(-4)) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-20)\/(-6)*(123 - 15)\/9. Solve -138 = v*t + 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 - 3*z + 7. Let h(n) = n + 25. Let d(t) = t + 26. Let x(g) = 4*d(g) - 5*h(g). Let i be x(-16). What is l(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.3 + 0.28. Let t = 0.31 - 0.21. Which is the closest to 2?  (a) f  (b) t  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12201003.03 to the nearest ten thousand.\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l**2 - 5*l + 17. Let a(x) = -4*x**2 - 8*x + 25. Let m(r) = 5*a(r) - 7*s(r). Determine m(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 - 5*r**2 + 778*r - 4703. Let v be z(6). Solve 7*o = 9*o + 3*l - v, -2*o + 7 = -3*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 divided by 14.\nAnswer: -41\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 3*f - 117 = 0, -f + 112 = -5*p + 299. Suppose 6*b - p = -7. Suppose 0 = -b*i - 4*q + 488, -i - 2*q + 294 = 2*i. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*j + 15 - 85 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/105 and 13\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -z + 2*s, s = 3*s. Let h = -9 + z. Calculate the remainder when (-26)\/39 - (-352)\/6 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -96*c**3 + 96*c**3 + 2*c - 5*c**2 - 2*c**4 to x + i*c**3 + s*c + n*c**2 + h*c**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -o**4\/8 + 37*o**3\/6 + 90*o**2 - 1474. Determine u, given that h(u) = 0.\nAnswer: -8, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 775 + 818 - 136 - 10*d - 262 + 68. What are the prime factors of o(0)?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 191*y + 17*y**3 - 191*y + (-6 + 4 + 4)*(-2*y**3 - 2*y**3 + 0*y**3) + 0*y**2 + 0*y**2 - 3*y**3 - 7*y**3 + 9*y**3 + 19*y**3.\nAnswer: 27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3*sqrt(130)\/(sqrt(100)\/sqrt(10) + sqrt(10)))**2 - (-5 + sqrt(1872) + (sqrt(39)\/sqrt(3) + sqrt(13) + sqrt(13))*4)**2.\nAnswer: -29467\/4 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/8*i**2 - 5929\/8 + 77\/4*i.\nAnswer: -(i - 77)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 123 + -120.64. What is p rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 129*k**2 + 10497*k + 20480. What is j(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ykk when three letters picked without replacement from {k: 2, m: 1, y: 1, s: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3465 and 35?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**2. Let z(p) = -487593216*p**2. Calculate i(z(l)).\nAnswer: -475494288578445312*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*i**2 + 19*i**2 + 13*i**2.\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1888164566 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -264688, -529376, -794024, -1058632, -1323200?\nAnswer: -1587728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9873 is divided by 9786?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-34*72\/(-4284))\/((-18)\/(-21)))\/((-1)\/(-123))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - 37 - 7 - -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20865 = 5784*t + 1980*t - 10176 + 217377 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1d4 - -3?\nAnswer: 1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 8830*s - 3086. Is i(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/4 - 22\/(-8). Let r = d - -1. Determine a, given that 7\/4*a**5 + 0 + 9\/4*a**4 - 9\/4*a**2 - 1\/2*a - 5\/4*a**r = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-112)\/(-560))\/((-1)\/((-405)\/3)). Solve -y + 6 = 21*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -1 + 5. Let x = 0.01 - 42.01. Let w = 41.6 + x. What is the closest to -1\/2 in -5, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -117 + 117 - 2*r. Determine g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1e (base 16) to base 7.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 6*y**2 + 1 - 9*y + 0 + 3*y**2 - y**3. Suppose -3*s + 30 = 2*s. Calculate the remainder when o(s) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10173 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/52156 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pvpvpfyfff. What is prob of picking 1 f and 1 y?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (82252\/(-6))\/((-92)\/(-255) - (-282)\/(-705)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 560441133 and 3021246.\nAnswer: 1120882266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*((k**(5\/2)*k)\/k)\/k)*k**(-1\/7)\/k*k\/(k\/k**(-6))*k*k**2)\/(k\/k**(-4)*k*k\/(k\/k**(-4)))**(-1\/6) assuming k is positive.\nAnswer: k**(-223\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 249, 599, 1201, 2055, 3161?\nAnswer: 4519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -15*h + 13*h + 3041, 0 = -2*h + 3*s + 3023. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 752, 1991, 3704, 5891, 8552, 11687, 15296?\n\"Answer: 237*s**2 + 528*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -382571114 from 1.\nAnswer: 382571115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -5*v**3 + 60*v**2 - 57*v + 697. Give l(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5 - 1 - 108\/(-36). Does 25 divide 541 + (o + -6)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/3 - 78722*s - 59403668\/3.\nAnswer: 2*(s - 118334)*(s + 251)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 4, 1.\nAnswer: 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*c + 0*c - 7*c)*(-3 - 3 + 0 + (1 + 0 + 0)*(-1 + 0 - 1) + 2 + 1 + 1) to g + n*c and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (4 + (-2 - 0))) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -190834 and 1.7.\nAnswer: -324417.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17309 is divided by 859.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)*-2 + sqrt(180) - (sqrt(5) + -5*sqrt(45))) + 5)*5.\nAnswer: 25 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9)\/((-99)\/(-20)) + (-3 - -1). Suppose 0 = -0*k + 5*k - 20. Suppose -5*j = -4*l + k, -4*l + j + 24 = -9*l. Is l less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/157347 and -52\/9.\nAnswer: 157347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/12338 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 184. Let a = 282 - k. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32 + 40. What is the remainder when y is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 74*h**4 - 1 + 20*h**4 + 2*h + 2*h - 5*h to the form a*h**3 + l + j*h**4 + o*h + g*h**2 and give j.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**2 - 4*r - 6. Let k be -3 - (-9)\/((-27)\/6). Let x(h) be the third derivative of h**5\/30 + 5*h**4\/24 + 7*h**3\/6 + h**2. What is k*v(b) - 4*x(b)?\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 2*k + 3. Suppose k + 9 = 4*m. Suppose -m*u + 5 + 15 = -5*d, -5*d + 5 = 2*u. What is u rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 7 - 4*b - b + 4*b. Let l be (2\/3)\/(15 - ((-9414)\/(-270) + -20)). Calculate v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*3*(sqrt(1872) + sqrt(1872) + -1 + sqrt(1872) + 5) - (sqrt(1872) - (sqrt(1872) + -1)*-3 - (3*(sqrt(1872) + 0) - sqrt(1872)))*-1)**2.\nAnswer: 23400*sqrt(13) + 1171521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 7)*(-9 + 9 + 4*r)*(3*r**4 - 8*r**4 + 10*r**4).\nAnswer: 40*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3807383 is divided by 692.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16\/1147 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3 + 2\/3*o**2 + 1\/3*o**4 + 0 + 0*o.\nAnswer: o**2*(o - 2)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-2\/11)\/(c*c**12)*(c*c**27)\/(c**(11\/6)\/c) assuming c is positive.\nAnswer: c**(923\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, 17, 0.1, 7\/516?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 48877461, 48877463, 48877465?\n\"Answer: 2*t + 48877459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 1449, -78, -9\/7, -2 in descending order.\nAnswer: 1449, 0.4, -9\/7, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 235 is divided by 231.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 23 = -5*l, -4*l - m = 2*m - 23. Suppose 0 = -4*q - 4*r - 20, -r - l = -q - 0. Let v(n) = n**3 + n**2 + n. What is v(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h**3 - 108645*h**2 + 2500356*h - 2391708 = 0.\nAnswer: -36238, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.0775 * 38739\nAnswer: -3002.2725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12b1 - 5?\nAnswer: 12a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*h**5\/9 + 202*h**4\/9 + 425*h**3\/9 + 24*h**2.\nAnswer: -h**2*(h + 1)**2*(7*h - 216)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, 228, 666, 1482, 2802, 4752, 7458, 11046?\nAnswer: 15642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 7.755034 kilometers?\nAnswer: 7755.034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = y - u, -y - 13 = 3*u - 8*u. Suppose -3*a + 10 = -3*f - a, -5*f - 16 = -4*a. Let j = f + y. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -251 = 45*b + 244 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*75\/1080*490\/1400*6\/(-7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*w - 2*w - 3*w)*(-4*w**3 - 2*w**3 + 3*w**3) + (-7*w**3 + 4*w**3 - 3*w**3)*(-3*w + w - 2*w) to i + t*w**2 + s*w**3 + f*w + v*w**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 148225535 divided by -171359?\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9\/(-3) + 4 + 2\/2. Let d(f) = -45*f + f**2 + 45*f + 0*f**a - 1. Let x(n) = 23*n**2 + 29. Let u(g) = 3*d(g) + x(g). Differentiate u(y) with respect to y.\nAnswer: 52*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33555 is divided by 137.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 311*c + 203*c + 413*c in the form v + r*c and give r.\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1017 and -5.3993?\nAnswer: -5491.0881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-22)\/(-6831))\/(4\/12)*9.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 + 11*y - 213. Suppose 167*n - 175*n = 184. Let f = -11 - -33. Calculate the remainder when l(n) is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -427*q**3 + 15*q + 3. Let b(l) = -60208*l**3 + 2120*l + 424. Calculate -3*b(t) + 424*v(t).\nAnswer: -424*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-81*(-108)\/(-2916))\/(((-9)\/2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5 + (-504)\/(-238) + -7. Which is the closest to -1?  (a) 2  (b) -1  (c) -2  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2*72\/21)\/(4\/126). Let p = -68 - f. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -30\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*l + 19*l - 9*l)*(-l**3 + l**3 - l**3) - 4*l**3 - 3*l**4 + 4*l**3.\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 196*c**3 + 476*c**2 + 177*c + 18.\nAnswer: (c + 2)*(14*c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42387 + -42383. Solve i*t = g + 8, 4*g + 2*t = -11 + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(209)*4 - sqrt(209)) - sqrt(209))\/sqrt(11) - 1*(sqrt(171)*-3)**2.\nAnswer: -1539 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.86287 and 8141?\nAnswer: 7024.62467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3452*v**3 - 15*v**2 - 10*v - 3450. Let n(u) = 3452*u**3 - 12*u**2 - 8*u - 3443. Let t(x) = 4*h(x) - 5*n(x). What is the derivative of t(j) wrt j?\nAnswer: -10356*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 + h**3 + 181*h**2 - 184*h**2)*(2*h - 2*h + 2*h).\nAnswer: 2*h**4 - 6*h**3 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.04 + -1. Let t = -4.96 - d. Let m = -5 + 5. Which is the third biggest value?  (a) t  (b) m  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 20080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 q when four letters picked without replacement from {s: 1, r: 2, h: 2, q: 12, d: 2}.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5740 - -22959\/4. What is the biggest value in g, 1\/4, 0.7, 0.8, 1\/5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + 1*(sqrt(133) - sqrt(133)*-3) - sqrt(133) - sqrt(133))\/(sqrt(14)\/(sqrt(2) - 6*sqrt(2)))*-6 + 3.\nAnswer: 3 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1074424.847 rounded to the nearest 1000?\nAnswer: 1074000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 4*i**2 + 11*i + 11. Let d(f) = -2*f**2 - 6*f - 6. Let m(a) = -11*d(a) - 6*p(a). Let w(n) = -26*n**2. Calculate m(w(v)).\nAnswer: -1352*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 43305 + 31530?\nAnswer: 115235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mwwqbmiiwm. What is prob of sequence ii?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 + 4. Let g be h(0). Suppose -4*n + 0*n + 26 = 5*i, 0 = 3*n - 2*i - 31. Suppose -2*v + 9*c - 4*c = -6, -n = -3*v - 4*c. Solve g*f = f + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 + -7. Solve -2*m - a = m + 4*p, 0 = -4*p - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*t + 7*t + 922*t**3 + 14*t.\nAnswer: 922*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - (-16 + -17)) + -6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -9*c**3 - 4*c**2 - 6*c - 5. Let k be d(-3). Let z = 106 + -51. Let l be z\/(-2)*(-24)\/30. Calculate the highest common divisor of k and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2401 - -2399. Let g = 0.9 - 1. Let j = 4 - 1. Put l, g, j in ascending order.\nAnswer: l, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 884.588km to centimeters.\nAnswer: 88458800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*y = 39, 0 = -5*l + 8*y - 3*y + 60. Suppose -j - 8 = -d - 3*d, 5*d - 10 = -2*j. Solve -5*s + l = m, j*s = 3*m + s - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 7*r - 11*r - 3*m, 32 = 4*r - 4*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/4)*l\/(l*l**(-2\/15)))**(1\/7) assuming l is positive.\nAnswer: l**(23\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 250825815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 609811.899 rounded to the nearest 100?\nAnswer: 609800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -191*c**2*k + 4*c*k + c + 10 wrt c?\nAnswer: -382*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/104770 and -2\/31431?\nAnswer: 314310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1251 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 2*v, 21 = 2*n + 2*v + 3*v. Let z(t) be the third derivative of t**4\/12 - t**3\/3 + 158*t**2. Calculate z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -457, -920, -1383, -1846, -2309?\nAnswer: -2772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2 = -1. Let n(h) be the second derivative of -43*h**3\/6 + 9*h**2 + 543*h - 2. What are the prime factors of n(l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/5  (b) -2\/3  (c) -2988\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109911*h**2 + 54942*h**2 + 54949*h**2.\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4631*z - 3258*z + 1708*z)*(-1 + 2 - 3).\nAnswer: 12362*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3662 + 4.6338. Let w = 126 + -131. What is the nearest to -1 in y, 54, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/8*(-806)\/(-93). Sort -3, 8, r in descending order.\nAnswer: 8, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -49 + 54. Is (-4918)\/((4 - b)*2) 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 jbjjvjjjjjj. Give prob of sequence jjjb.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -241\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.057 and -52432?\nAnswer: -2988.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/8  (b) 1\/2  (c) -9.9  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 40108622 times -0.24?\nAnswer: -9626069.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -3*c. Let b(g) be the second derivative of -g**4\/3 + 4*g. Give b(y(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -51656214 + -4?\nAnswer: -51656220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -680, -698, -716, -734, -752, -770?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -21*((-72)\/(-18))\/(-40)*(-50)\/(-30)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/11))**(-6\/17))**(-19\/2) assuming b is positive.\nAnswer: b**(114\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 211866 by -6.\nAnswer: -35311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -3*l**2 + 22*l + 14. Suppose 5*f + 4*s = 47, 27 = -f + 4*f + 2*s. Calculate the remainder when o(f) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1\/3, -3\/5, -5, 368, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) -3  (b) 0.3  (c) -1\/9  (d) 0.4  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, 7, 32, 57, 82?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/708 and 26\/105?\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**(9\/10)\/u))\/u*u)\/u**35 assuming u is positive.\nAnswer: u**(-339\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1294417.13 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 - h**2 + 9*h**2 - 10*h**2 - h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -21. Let m = n + 1. Suppose -3*i - 2*o + 26 = 0, -5*i - 4*o = m - 59. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 4*c**2 + c + 2. Let j be q(0). Calculate the remainder when 132 is divided by (4 - 12)\/j - -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2756.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bdie when four letters picked without replacement from {d: 1, i: 1, o: 1, b: 1, e: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iykyiui. Give prob of picking 2 i and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-54) + (-539)\/(-198))\/(150\/24)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence urxr when four letters picked without replacement from {b: 2, r: 2, u: 1, x: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/18)\/1*-3)\/(5\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8 + (-62)\/8 + 51\/(-12). Let w be -116*(-3 - 44\/(-16)). Let s = 32 - w. Is y <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 307  (b) 1\/2  (c) -11\/4  (d) -4  (e) -1\/5  (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*u + 64 = -s, -18*s + 13*s - 41 = -u - 27 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**4 + 245919*a**3 + 2458965*a**2 + 6147225*a = 0.\nAnswer: -81963, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 2 + 9*c - 7 + 0*c**2 + 0 - 16*c**2 in the form m*c**2 + r + h*c and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 11) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1486.2 + -1486. Let m = -115\/6 - -793\/42. Which is the smallest value?  (a) m  (b) i  (c) 0.4  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -15279?\nAnswer: 1\/5093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16521 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3 and 0.23176841480012?\nAnswer: 2.76823158519988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9048.83 + -8871. What is l rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -26*k + 922. Let q be a(36). Let g(i) = -4*i. Let f be g(4). Which is greater: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4520.9, -1, 1\/3.\nAnswer: -4520.9, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -4*n**3 + 29*n**2 - 32*n + 98. Determine s(6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m = 15*m. Suppose m = -5*s + 3*s + 10, 3*j - 838 = -2*s. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60) + sqrt(2160) + sqrt(60))\/sqrt(6) - sqrt(20)\/sqrt(2)*-3)\/(sqrt(80) + 2*(1*sqrt(80) + sqrt(80)) + sqrt(80) + sqrt(80) + sqrt(80)*-1*2)*6.\nAnswer: 33*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mnmnmmnmmnmmmnmmmmm.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of -g**6\/20 - g**5\/12 + 7*g**3\/6 + 6874*g**2. Let p(r) = -7*r**3 - 4*r**2 + 6. Determine 6*p(a) - 5*y(a).\nAnswer: -12*a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1753\/2348 - -2\/587. Let r = 31 + -32. Let d(m) = -7*m - 2. Let g be d(r). Sort p, -2, g, -15 in descending order.\nAnswer: g, p, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 56 = 2*s - 5*f, 21 = -s + 4*f. Let b = s + 182. List the prime factors of b.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 + (-14)\/(-5))*(-5)\/2. Let o(i) be the second derivative of 0 - 1\/6*i**4 - 9*i**2 + 2*i**c + 4*i. Suppose o(z) = 0. What is z?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of -v**6\/360 - 11*v**5\/120 - 5*v**4\/8 + 37*v**3\/3 - 3*v + 13. Let z(u) be the second derivative of f(u). What is z(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2 - 5383314*z + 2415005801883.\nAnswer: 3*(z - 897219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/33066532 and 103\/181865926?\nAnswer: 363731852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u + 18. Let y(n) = 5*n**2 - 4*n + 3. Let s be y(2). Let g be t(s). Calculate the greatest common factor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*a**4 + 3*a**4 + 0*a**4 - 1989*a - 3474*a**4 + 1989*a + (2 + 1 - 4)*(3*a**4 + 0*a**4 - 6*a**4) + (-2*a + 5*a - 4*a)*(2*a**2 - a**3 - 2*a**2).\nAnswer: -3472*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**4 + 11*p + 4. Let u(w) = 2*w**4 + 10*w + 3. Let g(i) = -4*u(i) + 3*x(i). What is the second derivative of g(a) wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - ((-1 - (-19 + 7 + 1)) + (-3 - 45)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 69?\nAnswer: 5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9987585, 19975168, 29962751, 39950334, 49937917?\n\"Answer: 9987583*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 611*k + 23. Let a(g) = 204*g + 8. Let c(p) = -8*a(p) + 3*l(p). Let r = 15 - 20. Let d be c(r). Round d to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of -11*r**2 + 387*r - 3322. What is i(18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*j**2 - j**2 + j**2 + 1 wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 114765, 458386, 1031087, 1832868, 2863729?\n\"Answer: 114540*s**2 + s + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(1375) + sqrt(1375))\/(sqrt(10)\/sqrt(18)))**2.\nAnswer: 22275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.3 - 5.3. Let x = -70 - -59. Let l = x + 11.4. Sort w, -2\/9, l in decreasing order.\nAnswer: l, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, q: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 22332.\nAnswer: -44664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/((2 - 4) + -16) + 13150\/12. Calculate the greatest common divisor of q and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -337 = -52*n + 27. Suppose 144 = 3*b + 2*w, 3*b + 3*w + 109 = 5*b. What is the lowest common multiple of n and b?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of 63\/5*f**3 + 147\/10*f**4 + 27\/5*f**2 + 0 + 32*f + 343\/50*f**5. Find s such that w(s) = 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0367 + -168.0367. Let r = h - -167.99998772. What is r rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2. Let x(j) = 6*j**2 - 8*j**2 - 18*j**2. Let m(q) = x(q) + 16*z(q). Let r(h) = 4*h. Calculate m(r(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 0.5  (b) -0.2  (c) 6.11  (d) 27  (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8929776 and 552?\nAnswer: 205384848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g\/g**(5\/3))*g**(-1\/2))\/((g*g**(-1\/5))\/g**(3\/5)))\/((g\/(g\/(g\/(g*g*(g\/g**1)\/g))))**(-13)*(g**(-1))**(-10\/17)) assuming g is positive.\nAnswer: g**(-317\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + 0\/(-2) + -10. Let v be ((-18)\/(-12))\/(3\/q). Let n be 1872\/(-32)*v\/6. What is the highest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - 12\/42) + (-7461)\/322. Let q = u + -116\/23. Let m = -50585\/36 + 1405. Calculate the common denominator of q and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 48\/6 + 16\/(-2). Suppose 8*u + 45497 - 370369 = g. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41 - -41.48. Let k = c - -0.6. What is k rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (46\/(-3))\/(76\/(-6498)*-57).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8964 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -57*b - 811. What are the prime factors of v(-41)?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-3) - (-29262)\/27*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.233 and 6.22.\nAnswer: 6.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6550 equal to 45854\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 39 + -20. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-172)\/(-24) - 7)\/((-106)\/63) and 6\/7.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of -v**5\/20 - v**4 - 11*v**3\/6 - v**2\/2 + 180*v. What is y(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9*20\/450*-30\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 749351948.\nAnswer: 8242871428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -476.0452 + 476. Let r = 0.0548 - s. Which is the closest to r?  (a) 1\/3  (b) -3\/2  (c) -0.5  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8153 + 24455\/3. Which is the closest to 5?  (a) 11  (b) k  (c) -1\/6  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0289 and 0.72862.\nAnswer: 0.021057118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (8 - (-13 + 27)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of -a**4\/8 + 37*a**3\/6 - 8*a**2. Let i be t(10). Let o be (-3)\/(-1)*3*5\/45. Calculate the greatest common factor of i and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -449\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 698431444.\nAnswer: 2, 9239, 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -0.14  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3411 is divided by 244.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 4*t + 1. Suppose 5*z = -30 + 390. Suppose -2*l + 58 = -2*o, l + 2*l + 2*o - z = 0. What is the remainder when l is divided by r(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.09, -5, -1\/3, -83, 4 in ascending order.\nAnswer: -83, -5, -1\/3, -0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 69.43953 litres?\nAnswer: 69439.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -942 + 943. Which is the third smallest value?  (a) 0.5  (b) z  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3210311*l**4 - 10*l**2 - 11380.\nAnswer: -77047464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {n: 4, y: 5, r: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -5, -9 in descending order.\nAnswer: 0, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4 - 65 = 0. Suppose 2*h - 134 = -2*o, -2*h + 119 = -5*o - 22. What is the remainder when h is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/((a*a*a\/(a\/((a*a*a*(a\/a**(-3\/2))\/a*a*a)\/a)*a))\/a)*a)**(-4))**(5\/8)*a**(-2\/15)*a**9*(a*a**0)**42 assuming a is positive.\nAnswer: a**(3427\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 1548*a - 95143. Determine d(62).\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of -y**7\/126 - y**6\/15 + y**5\/4 - 2*y**4\/9 - 247*y. Factor b(n).\nAnswer: -n**2*(n - 1)**2*(n + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of y**4\/12 - 2*y**2. Let u be ((-4)\/(-12))\/(2\/12). Let l(a) = -199 - u*a + 199. Calculate j(l(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 1033737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-65984)\/(-12) + (-4)\/6. Suppose 3*c + q - n = 0, -2*c - 2*q + 3657 = -3*q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -327*u - 223. Let a(q) = -10. Let b(c) = 4*a(c) + s(c). Differentiate b(d) wrt d.\nAnswer: -327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2\/3, -1\/6, -0.06 in decreasing order.\nAnswer: 2\/3, 0.5, -0.06, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of -y**7\/231 - 4*y**6\/165 - 2*y**5\/55 + y**4\/33 + 5*y**3\/33 + 2*y**2\/11 - 6*y. Let t(v) = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r + 9*r + 7*h = 11*r - 65, 2*h - 1 = 5*r + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 2*v + 2 + 0*v**2 + 11\/6*v**3 + 4*v**4. Find the second derivative of u(p) wrt p.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -925*f**2 - 100*f. Let t be ((-2)\/(-10))\/((322\/(-210))\/(-23)). Let n(q) = 28*q**2 + 3*q. What is t*h(k) + 100*n(k)?\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 29*v + 61040 = 0. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*d = -18*d - 142 - 173 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 48865 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45 - 42. Suppose -o = -5*p + 157. Suppose -12 = p*q - 36*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 3*r + 35, 15*i - 13*i - 5 = -r. Suppose 2*v = z - 2575, -3*z - i*v + 6355 = -1392. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -650 + -1367?\nAnswer: -2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((2\/1)\/2)\/1. Let a be (-2)\/((-36)\/(-21) - 2). Suppose 1 + a = -2*k. Put k, -1, h in decreasing order.\nAnswer: h, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26503045 at least as big as 26503040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 11:24 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 6:55 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -71?  (a) 0.6  (b) 48  (c) 1  (d) -4\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*i + 188635 = 29903. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149 = 11*p - 654. What are the prime factors of p?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -4.9, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62080742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -158 - 9*w + 8*w - 14*w**3 - 162 + 120 + 164*w**3 wrt w?\nAnswer: 450*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i - 2*i + 5*i - i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9 + 56*j**2 - 49 + 26*j**2 - 9*j**2 wrt j?\nAnswer: 146*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24a (base 14) to base 4.\nAnswer: 13022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-2 + -5 + 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35)\/(-10)*((-1812)\/196 + 9)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - j = 3. Let y = j - -5. Solve 4*z = y*c + 22, -2*z = 3*c + 10 - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13 is divided by 0 + (-5)\/((-1)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + n + 3*n)*(-8*n - 11*n - 646 + 648).\nAnswer: -38*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5.561905 litres?\nAnswer: 5561.905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (14\/(84\/45))\/(1\/(-4)). Let q be 1\/((2\/9)\/(2260\/w)). Round q to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -12*a**2 + 375*a + 135. Give f(31).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18960.495 + 18935. What is v rounded to one decimal place?\nAnswer: -25.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1004542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -5. Let d(w) = -w + 0*w + 2*w + u. Suppose -12 = 2*c - 2*m, -5*c + 24 = -2*m + 45. Let x(r) = r + 1. Calculate c*x(b) + d(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**2 + 4*y - 134. Let s(h) = h**2 - 2*h - 3. Give -s(n) - z(n).\nAnswer: n**2 - 2*n + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 70\/(-7) - -1*1. Let z = k + 15. Suppose z*f + 2 = 7*f. Solve -x + 4 = -f*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 - 6. What is c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 0*z**2 + 3 + 3*z**2 - 7*z - 2*z**2. Let r be w(7). Let p(k) = -4*k + 6*k - r*k. Let x(v) = -4*v. What is p(x(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4143 - -4142.98172. Round j to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 - 10*g + 3. Let k be j(-9). Suppose 3*y - 7*y - k = 0. Let u = -6 - -4. Put y, 1, u in ascending order.\nAnswer: y, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 8*i. Suppose -3*l = -2*l. Let b(j) = 0 - 7*j**2 + 8*j**2 + l. Give y(b(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, 6, 22, 54, 108, 190, 306, 462?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 95 and 33155?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08*-14.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 4*s - 128, 0 = -4*s - 43*b + 4771 - 4725 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 38*p = -52*p + 111, -57 = -4*y - 5*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16437988300 rounded to the nearest 1000000?\nAnswer: 16438000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34 - 4040125?\nAnswer: -4040162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**2 + 119*d - 39. Let l be k(-40). Let u(j) = j + 1. Let v(y) = -2*y - 2. Calculate l*v(i) + 4*u(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 97*w - 13975. What is f(144)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a minute in seconds?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2709 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 14349.\nAnswer: 86094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 - 1258 = 5*p. Suppose -4*m = -4036 + 1220. Let d = p + m. Round d to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, -1, -425, -45, 0, -3, -5 in descending order.\nAnswer: 0, -1, -3, -5, -30, -45, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q - 13. Give r(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-12)\/8*(-1334)\/3 - 4.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 299 = -269. Suppose w + b = -q, 2*w - q = 3*q + 18. Let r(c) = c - 7 + 5 + 3. Calculate r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3*w + 65, -y + 0*w + 5*w = -36. Suppose 0 = -61*s + 59*s - 48. Let f = s + y. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (8 + -15 + 5 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -8\/86895?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7740236 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffftftf. Give prob of sequence tf.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -867, -1737, -2551, -3309?\n\"Answer: 28*g**2 - 954*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*j - 69 = -341*j + 179*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 5 + 0 + sqrt(500) + -5.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -636 + 458. Let u be (-4 + 2 + 6)*-24. Let i = u - l. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/6 - (-1)\/3. Let k(m) = -m**2 + 19*m + 218. Let c be -8 + (-4)\/((-24)\/210). Let z be k(c). Solve n*f + z*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -330113 + -1200220?\nAnswer: -2130333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0750059204 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-88 + 2)*(77\/(-14) - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -9*t + 1 + 6*t - 1. Let x be c(-1). What is the second derivative of 7*b**5 - 5*b + b + x*b wrt b?\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -76 - -68. Let l(s) = s + 9. Let h be l(f). Let b = h + 1. Solve 0 = -4*i + 5*v - 41, -5*i + b*v - 6*v = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5393 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - -10) + (-16 - -6) + 4 + 15.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1))**17*v*v\/(v**(3\/7)\/v)*(v*(v*v*v**4*v)\/v)\/v)**(-2\/9) assuming v is positive.\nAnswer: v**(118\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 + -3edea9e?\nAnswer: -3edea97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 62374\/15 + -8307\/2. What is the common denominator of 4\/54*20*1 and d?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 30115 = -2*l - 8317, 3*l - 32691 = -3*y. Does 121 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*v - 2*y = 16*v, -5*y + 9 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -68*q**2. Let g(k) = 3*k**2 - 6. Let r(w) = 6*w**2 - 8. Let l(d) = -4*g(d) + 3*r(d). Calculate t(l(p)).\nAnswer: -2448*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*b + 2*c, b = 2*c - 5*c - 5. Suppose 0 = k + 3*d + 7, -k + 0*k = -b*d - 7. Let i = 3 + k. Solve -i*p + 9 - 1 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011 (base 2) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -18*p - 8. Let t be f(-3). Let b = 136\/3 - t. Let g = 0.5 - 0.3. What is the second smallest value in g, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kliik. What is prob of picking 1 i and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7.783 - -0.083. Let f = -8 - x. Let g = 22257 + -22252. Which is the closest to g?  (a) -1  (b) 0  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -574 in -1, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -54 + 24*w - 10*w + 54 to i*w + p and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + u**2 + 37*u + 38. Calculate r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 293897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 3*m**2 - 67*m - 44. Let b be q(23). What is the third derivative of 25*f**3 + 70*f**b + 51*f**2 + 84*f**3 + 88*f**2 - 7*f**3 wrt f?\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2 - 12*j - 9. Let k be v(-9). Suppose -3 - k = -3*l - x, -2*x = 2*l - 14. Suppose -467 - 576 = -l*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/26429 and 55\/4494.\nAnswer: 1110018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 4*g = -12, 5*o - 18 = 5*g - g. Let s(k) = k**3 - 7*k**2 + 2*k - 9. Let r be s(7). Suppose r = 4*b + 1. Solve b = o*u - u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -416*l**2 - 414*l**2 + 0*l - 202 + 831*l**2 + l as n + z*l**2 + f*l and give n.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n - 53. Calculate p(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + (2 - (0 - -2)). Let v be 4\/((-12)\/9) + t. Let h = 3 + v. Let y(x) = -x**3 + 2*x**2 + 3*x - 3. Calculate y(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1621485.2 and -7002.\nAnswer: -1628487.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28 - -34. Solve 4*d + 2 = t*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.09 - 11.09. Sort i, 0.2, -0.3, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.2, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyhy when four letters picked without replacement from hyyhyhy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 12:23 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 596 - aa12?\nAnswer: -a438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1157, -249, -1655, -3061, -4467?\n\"Answer: -1406*o + 2563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 2*i = 4, -429*a + 4*i = -433*a + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 11:49 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -64, -2, 100, 242, 424, 646?\n\"Answer: 20*i**2 + 2*i - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -u**5\/20 + u**4\/12 + u**3\/6 + u**2 - 2*u. Let v be n(0). Suppose -v*c = -0*c - 48. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a millennium in decades?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 19*h - 9. Let g be l(5). Let q = g - 48. Let w = -17 + q. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 - 0\/1 - 70. Suppose 170 = -0*y + 17*y. What is the least common multiple of y and 40\/6*(-1596)\/k?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2051 + -2?\nAnswer: -2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**3\/5 + 3522*l**2\/5 - 204612*l - 1253160.\nAnswer: -3*(l - 590)**2*(l + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 258, 880, 1502, 2124?\n\"Answer: 622*h - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7888784 >= 7888914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3418008746 to the power of 1\/2, to the nearest integer?\nAnswer: 58464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -2*x - 3*v, 8338*x - 8343*x - 9*v - 15 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187*n - 120*n - 3185 = -178*n. Solve 5*l = -a - 20, -n*a = -8*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*u**2 - 10*u**2 - 5*u**3)*(-1 + 1 + u)*(0*u - 2*u + u).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -698, -3964, -9656, -17774, -28318, -41288, -56684?\n\"Answer: -1213*v**2 + 373*v + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 55 = 3*n. Suppose -2*h + 3*y - 3 = -4, -2 = -2*y. Let l(o) = n*o - 4*o + 2*o - h*o. Let u(t) = t**2. Determine u(l(r)).\nAnswer: 441*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -11*h**2 + 3*h + 3. Let p = -176 - -178. Let m(d) = 5*d**2 - d - 1. Determine p*n(i) + 5*m(i).\nAnswer: 3*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 65*c - 61, -5*j - 166*c = -167*c - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -445777, -891549, -1337321?\nAnswer: -1783093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1885970?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 5*m**2 - 6*m + 11. Let w be l(4). Solve -4*j + w*j = -3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lsswbbb. Give prob of picking 1 b and 1 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.288743 and 145?\nAnswer: -331.867735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**2 + z**2 + z**2 + (0 - 2*z**2 + 0)*(1 - 4 + 4) + (-29*z - 3*z - 99*z)*(0*z + 4*z - 3*z) as g*z**2 + a + d*z and give g.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**4 + w**4 + 4*w**4 + 14*w**4 + w**4 - 3*w**4 + 5 + w**4 - 5 + (2*w**2 - 2*w**2 + w**2)*(-3*w**2 + 3*w**2 + 2*w**2) + 2*w**4 + 2*w**4 - 2*w**4.\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127396 is divided by 12738?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 427 and 269315?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (132\/9)\/((-3)\/(-63)). Calculate the greatest common factor of 44 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1253436401*c*l**2 - 505881*c + 163*l wrt l?\nAnswer: 2506872802*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34264 - 5?\nAnswer: -34302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92949749.\nAnswer: 31, 409, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.2786  (b) -0.5  (c) 2\/143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -28, -2\/13, 2\/5, 1, -138, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/5 + 3042*b\/5 - 36216\/5.\nAnswer: -2*(b - 1509)*(b - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + 22*t + 118. Let l be r(-13). Let c be l\/8 - 3040\/(-256). Solve -7*u + 9 = -c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 418227546 divided by -139409182\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.956 - 0.044. What is the nearest to -2 in 0.2, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 851 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1461)\/(-15))\/((-5)\/(-25)). Suppose -11*c - 1695 = -5919. Let r = c + m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 - 3*k**2 - 9*k - 9. Let i be x(-4). Suppose 1440 = -i*j + 47*j. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*j + 779*j + 18664 + 30807 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 31*k + 33. Let l be t(8). Let o = l + -95. What are the prime factors of o?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 44937, 89874, 134811, 179748, 224685, 269622?\n\"Answer: 44937*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (6396\/26650)\/(((-18)\/(-20))\/(-3))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3\/7 - 24*k**2\/7 - 18*k\/7 + 44\/7.\nAnswer: -2*(k - 1)*(k + 2)*(k + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -9*y**4 + 15*y**3 + 32*y**2 + 38*y + 20. Let d(m) = 2*m**4 - m**3 - 1. Let i(j) = -20*d(j) - 4*q(j). Factor i(r).\nAnswer: -4*(r + 1)**2*(r + 3)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 13*x**2 + 6. Let p be w(-13). Suppose -p*h = -h - 25. What is the highest common factor of 190 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2555 and 588?\nAnswer: 214620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 + 7*o**2 + 6*o + 6. Let c be u(-6). What are the prime factors of (-20)\/c*1*-3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1210, -2359, -3444, -4465, -5422, -6315, -7144?\nAnswer: -7909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q*q**(-1\/7)*q)))\/((q**(-7)\/q)\/q*q*q)*q**(2\/11)*q\/(q\/q**(-7))*q assuming q is positive.\nAnswer: q**(234\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1800)\/168 - (-16)\/(-56). Let b(t) = -6*t**3 + 11*t**2 + 13*t + 5. Let k(m) = -3*m**3 + 6*m**2 + 7*m + 3. Give n*k(l) + 6*b(l).\nAnswer: -3*l**3 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 - 17439132*u**2 - 25343610409452*u.\nAnswer: -3*u*(u + 2906522)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1967\/2 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1077, 166, 5, -4.\nAnswer: -5, -4, 5, 166, 1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, b: 2, h: 1, c: 1, a: 1, p: 1}. What is prob of sequence aoh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/(((-108)\/(-135))\/((-3)\/15*-2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*n**2 + 10*n - 10*n + 11 - 20.\nAnswer: -14*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 160007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -49*j**3 + 7*j**2 + 7*j. Suppose 13 = -5*n - 4*p, -4*n + 114*p = 110*p + 32. Let b(o) = 33*o**3 - 5*o**2 - 5*o. Determine n*r(c) - 7*b(c).\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2.5  (b) -10.5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64\/8*3\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27 - 19. Let z(h) = h**2 + 4*h - 7. What is the remainder when z(-7) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10*(-2)\/15)\/(123\/(-90) - (-12)\/(-120)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 - -16.6. Which is the closest to -0.1?  (a) m  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 7*d - 59. Give v(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 2)*(-12*k + 6*k - 6*k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.05 and 0.527464960791.\nAnswer: 0.477464960791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -861, -3487, -7863, -13983, -21841, -31431, -42747?\n\"Answer: h**3 - 881*h**2 + 10*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 94141.83 litres?\nAnswer: 94141830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -43\/3, 1.\nAnswer: -43\/3, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.4 and 789?\nAnswer: 789.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 5*o**2 + 8*o**2 + 8*o**2 - 24*o**2. Let a(r) = -76*r**2. Calculate a(f(t)).\nAnswer: -684*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14341564 is divided by 245.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 512, 510, 506, 500, 492, 482?\n\"Answer: -o**2 + o + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s - 3 - s**3 - 16 + 4 + 13*s**2. Let i be h(13). Is i\/(-30)*(-201 + 1) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90320 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01476 to 4 decimal places.\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + q + 7. Let t be r(0). Let p = t + -7. Suppose p = 6*y - 4*y - 64. What is the greatest common divisor of 48 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, p: 3, h: 1, n: 4, u: 3, w: 1}. What is prob of sequence bh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/54 - (-11)\/9. Let d be (10\/3)\/(q\/6). What is the greatest common divisor of d and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26236 (base 8) to base 14\nAnswer: 423c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3282603 - 2?\nAnswer: 3282601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 80 + -25. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 20 = -4*j, h = 5*j - 2*h - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -37*143\/243386*(-12)\/(-9).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1473 (base 10) in base 12?\nAnswer: a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oborbbc. What is prob of sequence bbc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-29)\/(-58))\/(7\/4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001549384 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -858*j**3*u - j**2*u + 2*j*u + 8241*u wrt j?\nAnswer: -5148*j*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 12:57 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -159.2 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -6181 divided by 5\nAnswer: -6181\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 - 4*b**2 - 3*b - 11. Does 5 divide v(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 550217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -13660 * 5\nAnswer: -68300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - -15. Suppose 17*z - 21*z + i = 5*w, -4*w + 10 = 2*z. Solve s - 5*k = w, 0 = 4*s - 2*k + 5 + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 22\/4 + 5\/(-10). Suppose 15 = -r*l - 25. Is -8 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-28)\/6 - (-2)\/(-6). Suppose -3*l - 4*m + m = -9, 2*m - 6 = 0. Suppose 0 = d - 1 - 1, -4*i - 2*d = l. Which is the closest to i?  (a) 3\/2  (b) y  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291517466 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5372724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1312083 is divided by 655864?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - 1 - 1*-6. Suppose x + q*d = 3*d + 4, 0 = d - 4. Solve -5*r + x - 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 701898.3 weeks in days?\nAnswer: 4913288.1","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Is (-19)\/(-114) + (-21965)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 7*b**2 + 3*b - 2. Let l(y) = y - 2. Let k be l(2). Suppose -2*q - 8 = 0, -a + k*q + 2*q + 103 = 0. What is the remainder when a is divided by m(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 46900 and 40600?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -12. What is the smallest common multiple of p and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -13580, -13673, -13826, -14039, -14312, -14645, -15038?\n\"Answer: -30*g**2 - 3*g - 13547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 623989473 divided by 9281.\nAnswer: 67233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 - u - 1. Suppose 8*h - 3*h = 35. Suppose h*r = 3*r + 8. Let y be t(r). What is the closest to -0.1 in 3\/8, y, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 0 + 2 - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m. Let d(c) = -12 - 19 + 31 - 7*c**2. What is p(d(q))?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3138580721 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1756 + 1716. Do -31 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -2*k**2 - 226*k - 1083. Let d be p(-108). Let b be ((-16)\/(-6))\/((-2)\/6). Sort b, 4, d in decreasing order.\nAnswer: 4, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 - 7085.\nAnswer: -7085.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1800469387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(304)*-4 - sqrt(19)))**2.\nAnswer: -102*sqrt(19) + 5500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -150 by 50.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l**5\/4 - 145*l**4\/4 - 75*l**3\/2 = 0.\nAnswer: -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3\/4)*p*p**(-5))**(-19\/2) assuming p is positive.\nAnswer: p**(361\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a + 290*a**3 - 288*a**3 + 4*a**4 - 3*a - a to the form u + p*a**3 + b*a**2 + i*a**4 + z*a and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2+-80910\nAnswer: -80908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -742 + 741. Let u be (-5 - (-7)\/((-49)\/(-46)))\/w. Which is the nearest to 1?  (a) 3  (b) u  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3531745718 to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a. Let o be k(-4). Suppose 4*x + 4*b - 2*b - 10 = 0, -o*x = -4*b + 8. Is 0 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(490) - sqrt(490) - sqrt(490)) + (sqrt(80)\/sqrt(2))\/sqrt(4))\/((2*(sqrt(2)*1 - sqrt(2)) - sqrt(2)) + (sqrt(2) - -1*sqrt(72))).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x + 1. Let v(o) = -6*o - 4. Suppose -5*i = 4*y - 31 - 12, -4*y = -2*i + 34. Suppose -9 = -4*w + i. What is w*p(f) + v(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21\/20 + -7\/40. Find the common denominator of w and -47\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -3*t**2 + 101*t - 735. What is d(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/64*40*12394*2. What is y rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 64\/5 + 2\/5*m**3 + 26\/5*m**2 - 92\/5*m = 0.\nAnswer: -16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 at least 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**2 + 16 + 29*t**2 - 16.\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 24\/4535927?\nAnswer: 24\/4535927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (158\/2607)\/((20\/(-6))\/(-5))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 5, 106754 in ascending order.\nAnswer: -0.1, 5, 106754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 83 + 82. Suppose -5*f = -4*m + 7, -5*f - 24 = 2*m - 5. Let i be m\/((16\/(-22))\/4). Calculate the highest common divisor of r and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/2))**(-42) assuming c is positive.\nAnswer: c**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000152714 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 20*y = -17*y - 2583, 3*k = y + 1547. What are the prime factors of k?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -257 - (-6 - (0 + -1)). Let d be 12\/q*-9 - (-32)\/7. Solve 3*j - d*k - 13 = j, 5*j = 4*k + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 + 13*c**2 + 12*c + 18. Let p be t(-12). Suppose 1026 = 5*r + 3*n, -3*r + p*n - 17*n = -624. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21697\/48 - 452. Let i = o - -9\/80. Which is the biggest value?  (a) i  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/11 and -49\/332?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 - a**2 + a. Let g(h) = 30*h**2 + 6*h. Let w(l) = 2*l**3 + 54*l**2 + 12*l. Let t(c) = 11*g(c) - 6*w(c). Calculate -6*d(x) - t(x).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 12:58 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + 18*m**2 - 30*m - 34. Let v be t(16). Let y be 1*((-2)\/4 - (-9)\/6). Sort v, y, -3.\nAnswer: -3, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23?  (a) -0.035  (b) -1\/8  (c) -1527  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 5*w + 36 = 0. What is the least common multiple of w and (12\/9)\/(2\/27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 516 and -70 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 80 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 248.609024 rounded to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -3 + 2*c + 3. Suppose 295 = -8*w + 575. Let i(u) = -w + 5*u + 15 + 23. Give i(n(d)).\nAnswer: 10*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -374 divided by -18069\nAnswer: 374\/18069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 333499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**3 + 54832*h**2 + 187909264*h.\nAnswer: 4*h*(h + 6854)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 364, 744, 1136, 1540, 1956?\n\"Answer: 6*j**2 + 362*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7988677.\nAnswer: 1973, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 - 4*b + 2. Let l be z(4). Suppose 15 - 50 = -3*m + 5*c, l*m = 2*c + 22. Let n be m*((-3)\/2 - -1). Let h(r) = r**2 + 6*r. Determine h(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18*a**2 - 2*a**2 + 4*a**4 + 9*a**2 + 12*a**4 wrt a.\nAnswer: 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 8:14 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 686 and 5287.\nAnswer: 3626882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**2\/4 + 1309*o\/4 - 15435 = 0 for o.\nAnswer: 49, 1260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 - (-14 + 39)) + (-13 - -6 - (2 - 0))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 39*d = -168, -5*n + 229*d = 231*d + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 20, 63, 144, 275, 468, 735, 1088?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.339 - 0.139. Sort 2, 1, t.\nAnswer: t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 5*h**2 + 68*h + 2. Let y(z) = -4*z**2 - 69*z - 3. Let r(v) = -3*a(v) - 2*y(v). What is the second derivative of r(g) wrt g?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 3*r - 372 = -s, 4*r - 88 = -s. Suppose 0 = 7*j + 4*j - 275. Calculate the remainder when s is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - v + 1)*(1789*v - 3516*v + 1374*v).\nAnswer: 353*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -3, -0.2, -270.7842?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 4*q + 16 - 157, -2*o = q - 36. Suppose q = -3*n - 2. Sort n, -4, -1 in increasing order.\nAnswer: n, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 * -780152\nAnswer: 468091.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/188298 and -85\/792.\nAnswer: 753192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*21\/(-70))\/(18\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 6*s**2 + 14*s + 3. Give y(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*a + 725 = -522. Solve a*d - 23*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + q + q)*(-4*q**2 + 4*q**2 + 15*q**2).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -228978831 != -228978835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 228, 426, 618, 804, 984, 1158, 1326?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*r + 6. Suppose -4*n + 278 + 178 = -2*z, -2*n + r*z + 228 = 0. Suppose 2*m - n = 10. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15531, 61160, 137207, 243672, 380555?\nAnswer: 547856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -40*w**3 + 2*w**4 + 9*w**4 - 15*w**4 - 108 - 222*w - 144*w**2 + 6*w.\nAnswer: -4*(w + 1)*(w + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -14, 1.18, -6, 2\/5, 2 in increasing order.\nAnswer: -14, -6, 0, 2\/5, 1.18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36555619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 9*d**2 - 32*d - 3. Let i(c) = -5*c**3 + 34*c**2 + 129*c + 14. Calculate 2*i(w) + 9*l(w).\nAnswer: -w**3 - 13*w**2 - 30*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 929 + -914. Solve 3*o - g = 0, -3*s - o + 5 + 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2405 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - -31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of -q**4\/4 + 2*q. Let b(x) = 2*x - 6. Let r(f) = 5*f - 16. Let k(m) = 8*b(m) - 3*r(m). Give k(l(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = -58*y + 103*y. Solve y*v + 4*v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 15*m + 22. Let b be (-9)\/27 - 1\/(-3). Let y be -1 + (-15 - -1) - b. Is k(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 86722254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.93 - 6.87. Let q = -7.7941 - d. What is q rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y**2 - 21 - 3*y**2 + 10*y**2 - 33*y + 21.\nAnswer: 5*y**2 - 33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2 + 0*u**2 + 2*u**2 - 52*u - 67*u + 181*u - u**3 - 66*u - 4*u**2. Let t = -3 - -5. Let v(l) = -2*l**3 - 2*l**2 - 5*l - 3. Determine t*v(r) - 3*c(r).\nAnswer: -r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*k**3 + 14 + 20*k**3 - 14.\nAnswer: 27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -0*u + u - 4*k, -3*u + k = 2. Suppose -l + 2*o + 8 = 3*l, u = -2*l - 5*o + 4. Suppose 5*s = 20, 0*f - 3*s = -l*f + 42. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -587 (base 11) in base 6?\nAnswer: -3124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -58\/133 and -6 + 4\/(-56)*-184.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61, -1281, -4689, -11377, -22437, -38961, -62041?\nAnswer: -92769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9280 and 7424.\nAnswer: 37120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -626, -3, 11 in ascending order.\nAnswer: -626, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 958 + -958.2. Put 0.3, 2\/5, 0.6, t in decreasing order.\nAnswer: 0.6, 2\/5, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139804 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1374*p - 1368*p - 2*l - 40, -5*p = 5*l - 60 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hlhlhlhhhllhhhhhhl?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-4)*1\/(-1)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ute when three letters picked without replacement from eutxlxg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 PM and 3:45 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*((-3)\/(-8))\/(24\/16). Let b be (-10)\/(-3) - 14\/(-21). Suppose i = 4*z - 2*y + b - 10, 5*y = -15. Solve 1 = -n - z*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g - 9*g + l + 7 = 1, 283*g = l - 1414 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 + 18*y**2 - 12*y + 243. Let h be u(-19). What is the greatest common factor of h and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-72)\/45)\/(48\/15)*62?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*m*u**5 + 50*m*u**3 + 758*m*u**2 - 3089*m*u + 2*m + 6*u + 6 wrt u?\nAnswer: 160*m*u**3 + 300*m*u + 1516*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 450 - -270. Suppose 6*v - v - q = 0. Suppose 4*r - v = 4*l, 4*r + l = 2*r + 81. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - b = 5, -3*g = b + b. Find the third derivative of -g*u**2 + u**2 - 2*u**2 - 4*u**6 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -93, -101, -111, -123, -137?\n\"Answer: -x**2 - 5*x - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21826, 43795, 65736, 87649, 109534, 131391, 153220?\nAnswer: 175021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -46, -79, -108, -133, -154, -171?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -9875, 2\/7, -1, -2\/11.\nAnswer: -9875, -1, -2\/11, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 46*((-4 - -3) + 0 - -3). Suppose -1 - 8*a**4 - 5 - 10 + 39*a**2 - 58*a**3 - v*a - 165*a**2 = 0. Calculate a.\nAnswer: -4, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) 3\/8  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -7*k**6\/540 + 11*k**5\/270 - k**4\/108 - k**3\/9 - 109*k**2. Factor s(q).\nAnswer: -2*(q - 1)**2*(7*q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 71596 divided by -2\nAnswer: -35798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3 = 0, 5*p - 2*p + 4 = -f. Solve f*q + 4 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-12 - (-210)\/51)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17265655 to the power of 1\/2, to the nearest integer?\nAnswer: 4155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 30, 277, -5 in descending order.\nAnswer: 277, 30, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -212 - -215. Sort 0.5, 2, j, -0.5.\nAnswer: -0.5, 0.5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, -40, -159, -336, -577, -888, -1275?\nAnswer: -1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + 267. Let g be ((-186)\/(-63))\/(2\/(-186)). Let i = l + g. Is -1 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 300205688?\nAnswer: 2, 59, 79, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 646 a factor of 11885715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 24\/161627?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*w**3 + 24*w**2 - 2 - 24*w**2 in the form l*w + d*w**2 + i + h*w**3 and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/20 and 79\/920446.\nAnswer: 9204460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3\/5 - 12*z**2\/5.\nAnswer: -2*z**2*(z + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 2*q + 10. Suppose q*b - 5*b = 1655. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-44)\/132*(-6)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 2) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 31491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**2. Let r(o) = -247*o**2. Determine r(u(a)).\nAnswer: -988*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6803187637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*s - 5*b + 15 = -51*s, -s + 19 = 3*b. Solve 5*t = 2*g + s - 13, -5*g = -5*t + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 3) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 7*x**2 + 4150*x + 327849. Determine l(-499).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 12616, 12617, 12618, 12619?\n\"Answer: r + 12615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3*v**2 - 103*v - 363. Calculate p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -cc + -30a?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 5*p = 0, 6*p + 0*p - 31 = -3*b + 2*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(17 - 13 - (-5)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = 37*f - 8. Let n(u) = u**3 - 5 - 4*u + 3*u + 1 - 5*u**2 + 7*u. What is n(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -4. Suppose u = -3*n + n + 6. Differentiate b**3 + 1 - 4*b**n + 2 wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128238 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3157)\/(-63) - ((-92)\/(-621))\/(16\/12). Let p(i) = 44*i**2 - 3*i + 1. Let k be p(4). Let s = 1243 - k. Calculate the highest common divisor of s and t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2591*z**2 - 5*z + 0*z**3 - 2 + 2*z**3 + 2590*z**2 to the form g + j*z + w*z**3 + u*z**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-81*j - 187 + 187)*(8*j**3 + 4*j**3 - 5*j**3)*(-1 - 4*j + 1).\nAnswer: 2268*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/(-40)*2*5. Let l be (-3)\/((2\/k)\/(90\/(-27))). Suppose -l = c - 49. Calculate the remainder when 131 is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 881 - -59. Let w = u - 940.001859. What is w rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*k - 9. Suppose 0 = -4*i - 5*q + 27, -i + k*q = 3*i - 3. Suppose -20 = -i*x + x. Solve 4*c - 5 = t - 4*t, -3*c - x = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 109*a**3 - 19*a + 26*a - 7*a + (4*a + 2*a - 5*a)*(-a**2 - 4*a**2 + 6*a**2) + a - a + a**3.\nAnswer: 111*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hpppphhphhpppphhpeh. What is prob of picking 2 p and 2 h?\nAnswer: 105\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.67 + 0.22. Let z = 722.45 + -722. Let y = z + a. Put y, 1\/5, -0.5 in ascending order.\nAnswer: y, -0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + p + 2*p**2)*(p**3 + p**3 + 0*p**3 + (-1 + 3 - 3)*(-7*p**3 + 10*p**3 + 7*p**3) + p**3 - 3*p**3 - p**3 + (-1 + 1 + 2*p)*(-p**2 - 2*p**2 + p**2)).\nAnswer: -30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37965628?\nAnswer: 2, 151, 239, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 + 41. What is the smallest common multiple of (12\/7)\/(14\/147) and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from {k: 1, u: 5, f: 3, b: 1, o: 6, m: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*z + 8*z. Put -1, -2, z in increasing order.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.075 - 0.032. Let y = 235.943 + -236. Let h = y - p. What is the closest to h in -5, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -19 - ((-3)\/(-3))\/1. Let r be 3\/(-9) + d\/3. Let p be (12\/8)\/(r\/(-2)). Sort 0.1, p, 2\/15 in increasing order.\nAnswer: 0.1, 2\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -s - s + 3, 0 = 5*t + 5*s - 15. Let q = -48 + 55. Suppose q = 4*j - 3*l, -8*l + t*l + 19 = j. Solve -j*v - 15 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9698.831mm to centimeters.\nAnswer: 969.8831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15010648 is divided by 754?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does -323474\/1027 = -316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l*l*l\/((l**(-1\/6)\/l)\/l)*l))**(-32\/5) assuming l is positive.\nAnswer: l**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -162\/25 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -212 + 215. Let w = -12 + 12.1. What is the third smallest value in -4, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 3297220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(45)*-4 - (sqrt(7200)*-2)\/sqrt(10))*-5*2)**2.\nAnswer: 2400*sqrt(5) + 72100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from exxuccxxxxpuxx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 79\/10 - 17\/2. Let v = -2 + 1.9. Let u be 12\/8 + (-7 - 10\/(-2)). What is the closest to v in u, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + -1. Suppose 3*n + 2*n + g + 3 = 0, -2*n + 6 = c*g. Let a(z) = z - 1. Determine a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35 (base 15) to base 9.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 10*v + 2*v - 8*v - 7. What is the remainder when b(5) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 33199 or 32849?\nAnswer: 33199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)*-2*4 + sqrt(76))\/sqrt(4) + 3.\nAnswer: -7*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c - 1. Let p be g(0). What is the units digit of 9\/18*(1 - p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -4*t - 77, m + 3*t = -1 + 5. Let v = -9 + m. What is the units digit of 16\/12*6\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3494692, -3494693, -3494694, -3494695, -3494696?\nAnswer: -3494697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -8815 * 2.32\nAnswer: -20450.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-4 - -13 - 0) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -3, 4, 0 in decreasing order.\nAnswer: 10, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -4*h - 2. Let c = 4.7 - 1.9. Let z = c - 0.8. Sort z, -1\/8, h in ascending order.\nAnswer: h, -1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19184.\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4323)\/3144)\/(22\/(-10))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -4*s + 224248, -12*s - r + 168186 = -9*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/(-25))\/((-9)\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4553860 is divided by 758967?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (33 + (-13456)\/406)*133\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxpm when four letters picked without replacement from {m: 8, e: 1, i: 3, x: 2, p: 2, w: 4}?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3057827.365 rounded to the nearest 10000?\nAnswer: -3060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 6737?\nAnswer: 6739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from bbbbkbbbvbavvbbaaba.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 0 = -168. Suppose 4*f - 60 = -2*v + h, -3*f + 3*v = -81. What is the remainder when 65 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 368*q - 185*q - 185*q - 3. Let c(g) = -g**2 + 6*g + 19. Let p be c(8). Let y(j) = -j - 2*j + 4*j + j + p. Calculate -4*a(x) - 3*y(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*j**2 - 23*j**2 + 57*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2 - 15*m + 6. Let a(p) = p**3 + 5*p**2 - 5*p - 9. Let i be a(-4). Let d = 37 - i. Is 28 a factor of z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.6 and -25.653932?\nAnswer: 15.3923592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*g + 30 + 19. Let a be (1 - -7)*3\/(-6). Let b be (2 + (-6)\/a)*2. Do g and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from {q: 2, k: 3, v: 3, a: 7}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 154 divide 50997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/2*1)\/((-171)\/(-228)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -2*v - 5*b, 3 + 22 = -686712*v + 686709*v + 4*b for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 46594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/19))**(-10)\/((h\/(h\/((h*h**21)\/h)))\/h*h**(-29)) assuming h is positive.\nAnswer: h**(191\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -2\/2595, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 16*g**2 - 654*g + 8026. Calculate y(13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -56 + 30. Let v = y - -27. Let u = -0.4 - 0. Which is the closest to v?  (a) 20  (b) u  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 165024?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = r + 1363, -24*g + r = -29*g + 1697. Which is greater: 18 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of 8*j**3\/3 + 7*j**2 - 288*j - 125. What is the first derivative of v(r) wrt r?\nAnswer: 16*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w + 41. Suppose -v + 5*v = 8, -4*t = -v + 66. What is the remainder when f(t) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 - 11*j**2 - 9*j + 12. Let p be o(-10). Suppose 0 = p*n + 88 - 134. Calculate the highest common divisor of 253 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 1619*f**2 - 2*f - 7. Let y(g) = -g. What is y(o(n))?\nAnswer: -1619*n**2 + 2*n + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 317 (base 12) to base 8.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2 - 831886*w - 1663776.\nAnswer: (w - 831888)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -131.8, 2\/2981, -0.2?\nAnswer: -131.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 AM and 4:38 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(12) - (sqrt(5) - sqrt(125)*-2))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.03  (b) -0.4  (c) 2  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (3 - (6 - 12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from {p: 2, m: 1, e: 2, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4325000117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2.847203 decades?\nAnswer: 0.02847203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -8*w + 3. Calculate c(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 7:55 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 3 - 2 + 1 - 3. Let h(a) = -56*a + 6. Let u(p) = h(p) + 5*r(p). Let o be u(-1). What is o rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64 + 0.06371845138.\nAnswer: -63.93628154862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((20 - 30 + 15)*(7 - 5 - 4) + (4 - 1 - 4)*(-3 - 2 + 4) - 1 + 4 - 1)*(0 + o + 0).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -6*q**2 + 17. Let f(k) = -3 + k**2 - 3 - 1 + 4. Suppose -5*s - 4*w - 22 = 0, -4*w + w = -4*s - 30. Let p be 4\/s + 728\/21. Give p*f(a) + 6*m(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 0. Let a = -8 + 10. Suppose 0*w - 21 = -3*b - a*w, -4*b = 5*w - 35. Calculate the remainder when r is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/230 and -59\/368.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.3 * -16984.\nAnswer: -39063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7524 <= 7531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 5:13 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j = 167*j - 160 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 minutes before 4:07 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*h - 99*h**2 + 39*h + 98*h**2.\nAnswer: -h**2 + 79*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3410 and 1280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 123485 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28835)\/(-57670) + ((-1)\/(28\/27)*8)\/4.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -889 and 10306.\nAnswer: -9162034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252*h - 254*h = -2. Suppose -5*j = -2*j - 60. Suppose -4*n - u + j = -5*u, -2*n - 3*u = 5. Calculate the remainder when n is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18046102 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = -h + 26*h + 27*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/20*(-117)\/78*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - 4*s + 2. Let t be u(-5). Let z = -12226 - -12220. What are the prime factors of -291*(t - 14\/z)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 2*q - 23 = -3*l, 3*l = 5*q - 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*h + 195 - 72 - 247 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of 9*g**5\/10 - g**4\/4 - 8*g**3\/3 - g**2 - g - 7. What is the second derivative of x(q) wrt q?\nAnswer: 108*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1150 is divided by 83.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -337 - -337.0466. Let k = w + 0.2534. Sort -4, 30, k in descending order.\nAnswer: 30, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 43\/3, -290, 1 in descending order.\nAnswer: 43\/3, 1, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4*q**3 - 5*q**2 - q - 11. Let w = 44 - 49. Let f(u) = u**3 - u - 1. Let r(h) = w*f(h) + j(h). Let k(z) = z**2 + 6*z + 2. Let s be k(-4). Give r(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 11, m: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from gbgbbgbbbbbgbggbgggb.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1476 and 202500?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -90 + 93. Let s(h) = -5*h - 6. Let l(x) = 21192 - 12*x - 21187 + 16*x. What is m*s(r) + 4*l(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.574028 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 25 = 3*z, 5*z + 4 = -5*l - 11. Let k = 7 + z. Let c = k - 0. Solve c = -3*v + 5*i, 14 = -4*v - 2*i - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2. Suppose 4*y - y = 66. Let q be (-4)\/18 + y\/18. Let s(w) = q + 4*w + 3*w - 1. Calculate c(s(o)).\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5437972*d**4 - 1877658 wrt d?\nAnswer: -21751888*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 5, m: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1311 a factor of 34849002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*(8\/(-10))\/(16\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4163, -16741, -37705, -67055?\nAnswer: -104791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*d + 44100 = -41*d + 2*r, 4*r + 22070 = 2*d. List the prime factors of d.\nAnswer: 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u + 40. Let c(v) = 1. Let h(j) = -5*j + 1. Let k(b) = 5*c(b) + h(b). Let q(p) = -14*p + 17. Let x(l) = -17*k(l) + 6*q(l). What is d(x(f))?\nAnswer: f + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7589*p + 9158 with respect to p.\nAnswer: 7589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*b + 11. Let j be (-1)\/b - (-20)\/100. Suppose j = -2*z, -z + 250 = -m + 3*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -144 divided by -6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 45 - 219 = 6*i - 13*w, -5*w + 101 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 + 5*x**2 + 6*x + 5. Let g be i(6). Let j = -0.3 - 0.7. Let w = 20 - 17. Which is the closest to j?  (a) 4  (b) g  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 5*k - 13556, 2*j = 6*j + 5*k - 18098. What are the prime factors of j?\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -d**4 - d**3 + 241290*d**2 - d - 18421975.\nAnswer: -12*d**2 - 6*d + 482580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2140 and -81980.1.\nAnswer: -79840.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + (-21 - -19 - (-16 + 5 - -1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -700 = -v - 39*y, -4*v - 436 + 482 = 3*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -8. Suppose 32*m - 27*m = -20. Put b, 4, m, -1 in descending order.\nAnswer: 4, b, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of 181*x**4\/4 + 2*x**3\/3 + 6*x**2 + 157. Find the third derivative of u(j) wrt j.\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/3*i**2 - 196\/3*i + 4802\/3 = 0 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-66)\/9)\/(4\/(-6)). Let j be 298\/12 - -3*(-1)\/(-18). Suppose 4*b + 13 - j = 0. Solve -4*k = b - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) - -6*(0 + sqrt(108)))**2 + sqrt(12)\/sqrt(4)*5 + -2)*2.\nAnswer: 10*sqrt(3) + 10580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -83*v**2 - 144.\nAnswer: -166*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-13))\/(8\/(-64)*-8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 8, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2762689.\nAnswer: 31, 89119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 53483 - 53481. Let -73\/2*b**q - 3 - 47\/2*b**3 - 41\/2*b - 9\/2*b**4 = 0. Calculate b.\nAnswer: -3, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -36 and -0.02?\nAnswer: 35.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6662000 rounded to the nearest one hundred thousand?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -66*l - 24*l - 7*l - 5. Let r be h(-5). Suppose -3*m = m - r. Round m to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7164*t + 4142*t = 7686*t + 148249 + 322903 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 358753635?\nAnswer: 3, 5, 17, 29, 103, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(1\/7)\/h))**(-2\/127)\/(h**(-26)\/h*h*h*h*h\/(h*((h\/h**30)\/h)\/h)*h) assuming h is positive.\nAnswer: h**(-7124\/889)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((5010\/(-9185))\/((-3)\/(66\/8)))\/(-9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 15*m**3 + 19*m**2 + 10*m**3 - 29*m - 13 - 26*m**3. What is the remainder when d(17) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 635*r - 667*r + 192 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -78850  (c) -0.3  (d) -10  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20 - 47*d + 28051*d**2 - 28045*d**2 + 13*d.\nAnswer: 2*(d - 5)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/(-35) - (885\/21 - 0). Let d = f - -46. Solve 0 = 2*c - 5*x - 27, 2*c + 4 = -2*x - d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 + -134 + (-7 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3\/2, -3, 3\/7, 4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + 3*z**2 + 7*z - 8. Let t be v(4). Let j be 225\/60 - 3\/t. Solve -j*h + 13 = r, -4*h + r - 4*r = -14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of w**5\/20 + 3*w**4\/4 + 11*w**3\/3 + 54*w**2 - 1750*w. What is d(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 74 = -306. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44, -103, -140, -143, -100, 1, 172?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1028, -2071, -3126, -4199, -5296?\n\"Answer: -z**3 - 1036*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = u - 28. Let g be (2 - 12)\/2 - (20 - (28 + -4)). Let t(j) = j**2 + 2*j - 7. Let x be t(-4). Sort u, 4, g, x in decreasing order.\nAnswer: 4, x, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 24 = -3*o. Let m be (-171)\/o - (-6)\/8. Find the third derivative of 2*u**4 + m*u**2 - 5*u**4 - 11*u**2 wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 2  (c) -1\/2  (d) -2\/303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from {s: 2, a: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 605 + -614. Let u(m) = -99*m - 79. Is 18 a factor of u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 478 and 769.2.\nAnswer: 367677.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.11769 and -314.\nAnswer: -314.11769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.07387*-4.419.\nAnswer: -0.32643153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12735 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 652.4809 years to centuries.\nAnswer: 6.524809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057) - (sqrt(2057) + -2 + -1 - sqrt(2057))) + (sqrt(2057) - (sqrt(2057)*1 + 4))**2 - 3*(-4*1*sqrt(153) - sqrt(153))\/sqrt(9)*5.\nAnswer: 19 + 86*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 0*b + 23 + 29 + 5*b - 81.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, 54, 108, 214, 390, 654?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.4 from -0.7941.\nAnswer: -0.3941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 741.2836 to 1 decimal place.\nAnswer: 741.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1*2\/(-10))\/1. Let n = -7\/10 - z. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5\/11, 0.5, 4.1?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + ((-6099)\/(-749))\/(4 + 0 + -3).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-42))\/((-2)\/(-4))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10447228.\nAnswer: 2, 11, 283, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 49 and 1688.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.09 and 450?\nAnswer: -40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 5 - 8*n**4 - 1 + 1 + 2*n**4 + (-2*n**3 - n + n)*(n - 2*n - n).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a. Let z(p) be the first derivative of -p**2\/2 - 2. Calculate -6*k(t) + 5*z(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/3))**10)**(-50)*((p\/p**(-1))**(3\/2))**(-2\/11) assuming p is positive.\nAnswer: p**(5482\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - 0) + (-1 - -50) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -567343, -567363, -567383, -567403, -567423?\n\"Answer: -20*c - 567323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of q**9\/75600 - q**7\/12600 - 5*q**4\/24 + 3*q**2. Let m(w) be the second derivative of y(w). Determine v, given that m(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 8:47 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (17 - 13)) + (-1 - -46) + (-49 - -55)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40219 = -1511*w + 14177 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6507 - 542559 = -2*c - 4*b, -2*c + b = -536072. Suppose h = 95734 - c. What is h rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16819 - 8154 - 4*a**3 - 8665.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2723 divided by 467.\nAnswer: -2723\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (594\/(-11))\/(6\/(-28)). Find the common denominator of 3\/(-7) + (-5898)\/w and -13\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 14*z**2 - 24*z + 4. Let m be r(12). Suppose -4*l + m*g - 9 = -45, 0 = l + 4*g - 4. Solve -l*w = 6 - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -7*z**4\/12 - 10*z**3\/3 + 9*z**2. Let a be h(-10). What is the greatest common divisor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*n + 126 = -514 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 9 = -2*m. Suppose 0 = 3*c - 0*c + m. Let i(a) = a**2 - 4*a - 1. Let p be i(4). Do p and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 103336, 103329, 103314, 103291, 103260, 103221?\nAnswer: 103174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48685.\nAnswer: 5, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 + 4*c - 4. Let p be d(-4). Suppose -5*m - 26 = 2*t - 0*m, -2*t - 2*m - 14 = 0. What is the remainder when (p\/8)\/(t\/156) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*m**2 - 128621512873025 + 128621512873025.\nAnswer: -34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31\/38 + 6\/19. Let q = 6 - 2. Let f = q - -1. Which is the closest to g?  (a) -3\/7  (b) f  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j, 1 h, and 1 t when four letters picked without replacement from {h: 13, c: 1, t: 3, j: 3}?\nAnswer: 39\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + 0\/(1 - 2). Suppose 4*d - 190 = 14*v, -2*v = 2*d + 286 - 264. Solve q*m + 11 = -2*l, -l - 2*m = -2*l - d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of s**8\/112 - 3*s**7\/14 + 14*s**4\/3 - 3*s**2 + 5*s. What is the second derivative of u(v) wrt v?\nAnswer: 60*v**3 - 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3296 - -3296.2. Put 0.03, j, -2, 0 in descending order.\nAnswer: j, 0.03, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35997841.\nAnswer: 11, 3272531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -7803*h**3 + 3775575798*h**2 - 296123556*h + 5806344 = 0. What is h?\nAnswer: 2\/51, 483862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 822049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + -3*sqrt(637) - sqrt(13))**2) + (sqrt(1573)*2)**2.\nAnswer: sqrt(13) + 559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/((-9)\/15) + (1 - 10). Suppose 5*n = 3*n + 8, 4*i + 4*n = 4. Put 3, u, i, 0 in descending order.\nAnswer: 3, 0, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148521 is divided by 500.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 4 = -n, 0 = -5*n - 90*g + 91*g - 140. Suppose 0 = -3*p + 39 + 54. Let t = p + n. Solve -6 = 3*q, -5*j + 2*q - t = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3*o - 4)*(24*o**3 + 36*o**3 - 5*o**3).\nAnswer: -165*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*r - 105 + 15 = 114 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 + 33*o - 48. Let l be z(21). Let w = 205 - l. Is -1\/4 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97201.0294 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -12\/73?\nAnswer: -12\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - 3*k - 3. Let t(w) = -w**2 - 6*w + 5. Let l be t(-6). Let p be d(l). Solve 3*q + 4 = p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 2190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12461\/268 in 0.2, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/7 - 12342*c**2\/7 - 197858*c\/7 - 111366.\nAnswer: 2*(c - 6187)*(c + 7)*(c + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -10, -682 in descending order.\nAnswer: -10, -13, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3\/5 + 232266*t**2\/5 + 101300859*t\/5 + 11076688872\/5.\nAnswer: 3*(t + 219)**2*(t + 76984)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w**3 + 0*w**3 - 7*w + 5*w**4 + 6*w - 3 + 2*w**3 to the form j*w + k*w**3 + n + z*w**4 + p*w**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.49 plus 0.223?\nAnswer: -10.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -427*u - 7424 = -529*u - 826*u. Suppose -5*r - 3*q + 57 = -3*r, -5*r + q = -100. Solve j + r = u*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -517088, -517095, -517102, -517109, -517116?\n\"Answer: -7*b - 517081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express a - 13*a**2 + 2*a**2 - 6 + 3*a**3 + 9 + 6*a**2 + 21*a**2 as n*a**3 + s*a**2 + y*a + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 50 - 8. Suppose 2*r + 5*g = 41, -5*r + j = 5*g - 23. Suppose -r*d = -9*d + 30. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -941 - -993. Suppose b*r = 27 + 77. Solve 8 = 4*n, -4*k - 5 = -r*n + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 2*r + 42688 - 42758 = 0, -3*l + 66 = 6*r for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -501, -20.53, -3.\nAnswer: -501, -20.53, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 219.1224738 to the nearest integer.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17849 is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-2\/7)\/n**(1\/19) assuming n is positive.\nAnswer: n**(-45\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -44.1233?\nAnswer: -88.2466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q = -43*q - 250 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 0*m + 3*m - 89, -u - 3*m = -25. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1083864 and 722576.\nAnswer: 2167728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 4*c**3 + 2*c + 5. Let y(w) = 9*w**3 + 5*w + 9. Let l = 27 - 29. Let m(f) = l*y(f) + 5*r(f). Find the first derivative of m(q) wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -2\/13, 0.5, -478?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 3*2880\nAnswer: 8640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k - 2*k + 0*k)*(3*k + 15849*k**4 - 14598*k**4 - 3*k).\nAnswer: -2502*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -k**3*n**3 + 2*k**3*n + 124*k**2*n**2 - 59*k*n + 4*n**3 wrt n?\nAnswer: -6*k**3*n + 248*k**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -53874.693 minus 0.34?\nAnswer: -53875.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6134327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/665 and -10\/931?\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*((-8)\/24)\/((-1)\/6). Let u = -3 - t. Let l = 6 + u. Solve 0*k + h = -2*k, 12 = 2*k - l*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13237.\nAnswer: 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (137 - 116) + -4 + (-1 - 9) - (2 + -85)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -5*q + 3*u + 735, 0 = 4*q - 2*u - 1482. Let k = -333 - -122. Let y = q + k. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 12*b - 10. Suppose -17*x = -18*x + 31. Let y = -28 + x. Let t be u(y). Calculate the greatest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.276 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/6 - (360\/27 + -5). Let k be (f\/(-4) + -1)\/(429\/(-88)). Sort 0.1, k, 1\/6 in decreasing order.\nAnswer: 1\/6, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-18)\/24*16 - -6694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11591593 or 0.9?\nAnswer: -11591593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*-15*1\/6. Let c(s) = 5 - 36*s - 29*s + 64*s. Let z be c(5). Sort z, -2, -1, x in decreasing order.\nAnswer: z, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27 + 42. Calculate the remainder when (28\/3)\/((-1)\/(-3)) is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-1*sqrt(45) + sqrt(180)*4)\/(sqrt(81)*1*6).\nAnswer: 13*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 264bb (base 15) in base 3?\nAnswer: 20020010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/7)*k*k**(-3\/2)\/k)\/(k\/(k\/(k\/(k\/(k*k**(-2)*k)))))**(-22))**12 assuming k is positive.\nAnswer: k**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7\/4 - 13\/12. What is r in -q + 9\/2*r**2 - 2*r + 25\/2*r**4 + 55\/3*r**3 = 0?\nAnswer: -1, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 25043322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-520)\/(-12)*(-3)\/1. Let l be (0 - -1)\/(o\/(-15) + -9). Let g(p) = -1 + 0 - p + 2*p**2 + 4*p. Give g(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 4*n - 5*n)*(n**4 + 3*n**4 - 2*n**4) + (4*n**5 - 10*n**5 - n**5)*(1 - 4 + 4).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = l, -5325 = -4*o - 0*o - l. Suppose -6*m + 2*m = -2*k - o, -5*m + 3*k + 1664 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13280 (base 13) to base 3.\nAnswer: -1210211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 3*b**2 + b + 1. Let x be h(1). Suppose -39 - 1 = x*y. What is the tens digit of (((-56)\/5)\/2)\/(y\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pqqrqpp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 732*j*t**2 + 3*j*t - 220*j + t**2 wrt t?\nAnswer: 1464*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - -2*3\/(-1). Let x = q - 3. Does -7 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4*n + 140. Let m be ((-64)\/(-16))\/(4\/(-34)). Let x be r(m). Solve -5*v + 8 = 33, -5*a + x*v + 35 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mji when three letters picked without replacement from {v: 2, h: 1, c: 1, i: 1, m: 1, j: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 2)*(-7 - 48\/(-7))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -5) + -9 + (2 - (-2 + 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**2 + 1350*h - 2680.\nAnswer: -5*(h - 268)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1206 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-13))**(2\/79))**(-1\/59))**(5\/2) assuming t is positive.\nAnswer: t**(65\/4661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mc when two letters picked without replacement from cxxiiviicbmivci?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/2  (b) -2  (c) -2\/11  (d) -0.12  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 18 = 2*i, 29*i - 30*i = 2*y - 9 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(2\/5))\/s**(-2\/3))\/(s**(2\/5)\/s)**14 assuming s is positive.\nAnswer: s**(157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 6 - 0) + (3 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*f**2 + 1 + 1789052*f - 1 - 1789052*f.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 183155380 to the nearest ten thousand.\nAnswer: 183160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 15*d - 50. Let b be c(-10). Solve -50 = 10*q - b*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 m when four letters picked without replacement from mmppmhmhhhhhp.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -26954 divided by 13477\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of 0*w**2 + 0*w**3 + 3 + 3*w - 11\/2*w**4. Differentiate o(u) with respect to u.\nAnswer: -66*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 56\/93 - -2\/31. What is the third biggest value in -1\/2, 7, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of f**5\/60 + 10*f**4\/9 + 119*f**3\/6 - 147*f**2 - 27*f + 2. Factor y(o).\nAnswer: (o - 2)*(o + 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3337 - 6671 - 6*g**2 + 3334.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -369*-73\nAnswer: 26937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/8 - (-43 - 12512\/(-303))*(-6)\/8.\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 3:31 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -1062?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 j when three letters picked without replacement from {a: 2, v: 2, b: 1, q: 3, j: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from owotowiowo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 2*l + 8, 6*k + 2*l - 8 = k. Suppose k*o - 2*o - 6 = 0. Suppose 10 = -0*d - 5*d + 5*z, -3*z - 29 = 4*d. Sort o, 6, d in increasing order.\nAnswer: d, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20 + 20. Let n = 0.03 + -2.03. Which is the third biggest value?  (a) w  (b) 4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 451249*z**2 - 583987*z wrt z?\nAnswer: 902498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 34742642 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/5 or -4811625?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35 + -12. Suppose y = 7*z - 12. Suppose 4*x + 20 = 0, 0 = 4*i - z*x - 1099 - 506. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 39\/(-42)*-46 - 18\/(-63). Let p = k + -43. Put 5, -4, p in ascending order.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -ce41 (base 15) in base 7?\nAnswer: -241303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0.3, 167, 2, 3, -0.015?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 70 - 71. Sort p, 2, 6, 4 in increasing order.\nAnswer: p, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 3*f + c = -1178, 5*f = 3*c + 2947. Does 24 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3728120?\nAnswer: 2, 5, 11, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33347\/5094 - -76\/283. Let p(l) = 34*l + 13. Let n be p(13). What is the common denominator of m and 0 + -1 + n\/98?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4012303 (base 5) in base 7?\nAnswer: 352665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 * 1934\nAnswer: 58.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 + 3*a**2 - 5*a**2 + (15 - 2 - 1)*(1 - 1 + 2*a**2) + 5*a**2 - 2*a**2 - 2*a**2)*(-a**3 + a**3 + 2*a**3) + 3*a**5 - 10*a**5 + 4*a**5.\nAnswer: 49*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*g*i**5 + 17*g*i**3 + g*i**2 - 254*i**2 wrt i.\nAnswer: 480*g*i**2 + 102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/2 - 697*u\/2 - 2756.\nAnswer: -(u + 8)*(u + 689)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 750 + -36752\/49. Which is the third biggest value?  (a) 0.2  (b) t  (c) 0.1  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - 2. Let k(b) = -276*b - 9 - 3*b**2 + 276*b. What is 9*d(w) - 2*k(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 275543 + -189533. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-2))\/((-3)\/509). Let b = -85 + d. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of -7*x**4\/24 + 27*x**2 - 34. Let i(y) be the second derivative of t(y). Let f(a) = -6*a. Determine i(f(q)).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 681665241?\nAnswer: 3, 227221747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-three eighths of a litre in millilitres?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010.96 millennia to years.\nAnswer: 1010960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 - 11. Calculate the lowest common multiple of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6043886541 + -0.2.\nAnswer: -6043886541.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -4*m**2 + 2*m - 1. Let q be (304\/(-112) + 3)\/(26\/(-14) - -2). Let k(u) = u**3 - 4*u**2 + 3*u - 1. Calculate q*k(j) - 3*i(j).\nAnswer: 2*j**3 + 4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -173358 by -9.\nAnswer: 19262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3442 = 4*r - 5*h - 3438, 5*r + 34 = -8*h + 7*h for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**2 + 0*v**2 + 3*v**4)*(9 - 14 + 6)*(-1 + 5 - 1) + (0*v**3 - 3*v**3 - 3*v**3)*(-2*v + v + 0*v).\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l + 11. Let k be (-5 + 5)*1\/(-2). Determine h(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 2)*(9 + 7 - 5)*(5 + 0 + 5)*(-3 + 3 - 2 + (1 - 1 - 2)*(1 + 5 - 4) + 1 - 2 + 3)*(7 - 2 + 0)*(l + 3*l - 2*l).\nAnswer: 4400*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -182 by -21726.\nAnswer: 91\/10863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -309 + -3?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -58*y**2 - 2*y. Let u be b(-3). Suppose -4*m = -2*m - 30. Let n be (u\/m)\/(1\/(-25)). What is n rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10148 + 243*z**2 - 10148)*(3 - 3 - 1)*(2 - 1 - 4).\nAnswer: 729*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3\/7 - 9*u**2\/7 + 54*u\/7.\nAnswer: -3*u*(u - 3)*(u + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*p - 4, 5*p + 35 = -f + 27 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (154 - 136 - (9 - 0)) + (-4 - (-20 - -58)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53 + -31. Solve -2*k + z = 4*r, 5*r + 3 = 5*k + 2*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 c, and 1 p when three letters picked without replacement from {a: 1, d: 1, c: 1, p: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -416\/11 + 38. Which is the closest to -3\/4?  (a) -3  (b) -5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 10*a**2 + 12*a + 57. Give j(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f**2 - 112*f - 341. Determine y(59).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let q = 0 - -4. Factor -s + 7*s**q + 3*s**2 - 21*s**4 + 10*s**4.\nAnswer: -s*(s + 1)*(2*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 0) + (1 - (-2 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -17247*g**2. Let l(n) = 38*n. Give l(u(f)).\nAnswer: -655386*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 2:05 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 + 13*v**2 - v - 10. Let u be r(13). Let p(n) = -n**2 - 26*n - 14. Is p(u) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 9:38 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*m - 12. Suppose 5*c + 2*f = 45, 34 = -0*c + 2*c + 4*f. Let i be (-6)\/21 - 19\/c. Do m and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1074 = 8*l - 1058 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 2.1. Let y be (1 + 2)\/3 + 3. Suppose 5*a = y*a. What is the closest to -1 in q, 2\/13, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -u - 4*t - 153 + 148, 0 = 4*u - 4*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -648 by 4.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fmfffnjff. What is prob of picking 1 f, 1 m, 1 j, and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - f = -2*y - 31, 3*y + 3*f = 54. Let a(s) = 3*s**2 + y*s - 13*s. Let x(g) = 2*g. Calculate x(a(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12048, 12047, 12046, 12045, 12044, 12043?\nAnswer: 12042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pjbjpm. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 840 + -788. Calculate the remainder when 204 is divided by f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -640145011 + 3?\nAnswer: -640145005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 10336670 to the nearest one hundred thousand.\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2786143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/14 - 6765\/462*(-1)\/5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -321 + 341.6. Let u = -25.6 + g. Which is the biggest value?  (a) 1  (b) u  (c) 0.04  (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11519 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*q + 32*q - 1922. Suppose 8*c = -23*c + q. What is the smallest common multiple of 4 and c?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 59*v**2 + 364*v - 12. Does 15 divide p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of -18*s**2 + 20*s + 18*s**4 + 19*s**4 - 36*s**4 + 4*s**3 - 4. Factor m(v).\nAnswer: 4*(v - 1)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 67 - 5. Let f = a - -65. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46 - 42. What is the greatest common factor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of -l**4\/24 - 6*l**2. Let b(c) = 4*c + 1. What is -2*b(d) - 6*g(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1010\/707 + (-282)\/21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2\/15, 5\/4, -5 in increasing order.\nAnswer: -5, -3, 2\/15, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -2*s - 84. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*m + 242 = 51*m. What is the highest common divisor of 56254 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-10)\/1 - (-714)\/1464*22 and 36\/7.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 3 = 37. Let t = o - 7. Suppose -a + 2*a - 9 = t*j, 0 = 4*a + j - 62. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 14 - 6 = 5*v, 3*g - 4*v - 16 = 0. Let y = -455 - -454.998. What is the third biggest value in -1\/3, y, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7 - 0 - -2)*78\/65. Let g(r) = r**2 + 7*r + 1. What is g(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2348321783 to the power of 1\/2, to the nearest integer?\nAnswer: 48459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/1764 and -55\/126.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 3*k**2 - 6*k - 38. Let g(s) = -2*s**2 + 2*s + 1. What is 3*g(f) + v(f)?\nAnswer: -3*f**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, u: 4, r: 1, g: 3, n: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 144 and 1152?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -10*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*c**3*x**2 - 24*c*x**3 - 64090*c - 45019944*x**3 wrt c.\nAnswer: 9*c**2*x**2 - 24*x**3 - 64090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -w**5\/6 + 2006*w**4 - 12024*w**3 - 216520*w**2\/3 - 80200*w = 0.\nAnswer: -2, 0, 10, 12030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7501352*y + 7501390*y + 2014 = 0 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 7 = -3*m, -4*g = 2*m - 3*g - 7. Let k be (-2)\/m*99\/(-18). Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 - 1362*s**3 + 2728*s**3 - 1367*s**3 + 23.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -39.18027 to one dp.\nAnswer: -39.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 82.3598 litres in millilitres?\nAnswer: 82359.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/8 and 83\/399.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 32*q - 6160 = 0. Suppose -126*d = -130*d + q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 47*w**2 - 93*w + 2. Let q be f(2). What is the closest to 0 in 3, 6, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720)*4)**2*-1.\nAnswer: -11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 401483 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 97 - 142. Suppose 0 = -10*h + 9*h. Is (y - 2)\/(-1 - h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44 - 134 = 15*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 2*x + 2. Let u(n) = 5*n**3 + 13*n**2 - 12*n + 3. Let m(y) = -6*f(y) + u(y). Determine m(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -8*l. Let n be c(-1). Suppose 3 = -s + n. Suppose -i + 14 = 5*x - 3, -s*i = 4*x - 43. Let j(u) = -u**3 + 7*u**2 + 2*u - 6. Calculate j(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*w**3 - 7*w**2 - 38*w + 147 wrt w?\nAnswer: 9*w**2 - 14*w - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -22, -4, -10, -58, -166, -352?\n\"Answer: -3*a**3 + 6*a**2 + 21*a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 5 + 93 = -x, 0 = -4*x + 16. Let j(b) = -b**3 - 45*b**2 - 38*b + 257. Let w be j(-44). Let y = l - w. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*q + 84*q = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of t**3\/3 + 5*t**2\/2 + 4*t - 2. Let o be y(-5). What is the third derivative of p**6 - 4*p**2 + o*p**2 + p**2 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 602*z**2 + 174*z**2 + 34*z**4 + 184*z**2 + 29*z**5 - 25*z**5 + 496*z**3 + 46*z**4 = 0.\nAnswer: -10, -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4617)\/729 - -1*(7 - 0))\/((-90)\/837).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -36951, -36980, -37013, -37050, -37091, -37136?\n\"Answer: -2*x**2 - 23*x - 36926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 744 (base 8) to base 3.\nAnswer: 122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 6*l + 13. What are the prime factors of p(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -102 + z**3 - 348 + 4*z**3 - 475302*z**5 + 474201*z**5 - 4*z wrt z?\nAnswer: -22020*z**3 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - 423?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -37 + -1 - 1 - ((19 + -44 - -36) + -16)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8e1a8e (base 15) to base 3.\nAnswer: -110202221110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -134\/3 - -44. Let a = 0.01 - 0.05. Let r = a - -0.14. What is the closest to r in n, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -3, -24, -1, -4 in decreasing order.\nAnswer: -1, -3, -4, -20, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -483*c**2 - 251 + 40*c**2 + 70 wrt c?\nAnswer: -886*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -214510819 + 2*i**2 + 214510819.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102462?\nAnswer: 2, 3, 17077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of 16\/27*h**3 + 4\/3*h + 1\/18*h**4 - 26 + 13\/9*h**2. Factor a(j).\nAnswer: 2*(j + 1)**2*(j + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 15417*n + 1369. What is the ten thousands digit of l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 187175*c - 1449. Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -4 - (-4 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.02 - 0. Let x = j - -0.08. Let p = 0.16 + -0.56. What is the third biggest value in p, x, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -g + 3. Suppose -y = -3*y, 0 = -2*p + y + 4. What is the derivative of 0 + 0*h**2 - g + h**p wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -72040980 divided by -198460?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*h + 19 - 19 as u*h + d and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 86114920 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ejyoyba. What is prob of sequence ebj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -43?  (a) 8  (b) -5  (c) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 18027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -6.9. Sort 5, 2\/9, k in decreasing order.\nAnswer: 5, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -167\/5 - -1513\/45. What is the second smallest value in -20, n, 1\/8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -89283.785 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)\/(sqrt(36)\/sqrt(64)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -q**3\/3 + 3*q**2 - 2*q + 16. Suppose 0 = 3*k + 2*k - 15. Let a be d(k). What is the greatest common divisor of 63 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 8*t**2 + t - 6. Let r(k) = k + 1. Let q(v) = -a(v) - 6*r(v). Suppose -203 = -58*l - 609. Determine q(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -1*sqrt(245) - (-3*sqrt(5445))**2.\nAnswer: -49005 - 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or 6132?\nAnswer: 6132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -5*k + 6 + 5, 0 = 3*l + 5*k - 14. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 7*p**3 - 17*p**2 - 19*p + 14. Let m(r) = -3*r**3 + 7*r**2 + 10*r - 6. Determine -5*m(t) - 2*q(t).\nAnswer: t**3 - t**2 - 12*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/4991 and 58\/36239.\nAnswer: 833497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, x: 1, k: 1, w: 2}. What is prob of sequence ccx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 456, -2, 1, -8, 3.\nAnswer: -8, -2, 1, 3, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 7:12 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 - -4)*(0 + -21). Suppose j = -2*f - f. Is (-2)\/7 + (-1129)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/32 in 0.1, 0.4, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.2693314 seconds?\nAnswer: 269331400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 151*d**2 - 1667*d + 457. What is the lowest common multiple of u(139) and 170?\nAnswer: 50660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5001, 18912, 41731, 73458?\n\"Answer: 4454*w**2 + 549*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 222 divide 943453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171*g = -174*g + 6, -22*g = 4*t - 27*g + 162 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 12 = 0, -5*m + n = -4*m - 1. Suppose 6*a + o = 2*a + 186, -m*a + 2*o = -180. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (0 + sqrt(35)\/sqrt(5))) + sqrt(21)\/(sqrt(21)\/sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9352991 is divided by 2322?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56161 is divided by 6008.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11026 or -11010?\nAnswer: -11010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 8*d + 1. Let c be u(-1). Let h = -5 - c. Solve j = 4*f - 16, -4*j + 9 = -f - h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(((-363)\/(-44))\/11))\/(3\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/2)\/k**(-2\/7))**(-14) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 1:27 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -200*z + 98*z + 188*z + 2536 = 14146 for z.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12195678 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -22. Calculate the smallest common multiple of 8 and (-7)\/(a\/(-10)) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-36)\/48 + 34\/56)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, u: 4, w: 1, o: 3, e: 1, i: 2}. What is prob of picking 1 o and 1 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of y**4\/6 + y**3 + 2*y**2 - 2*y. Let v(b) = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*w = 197 - 2043 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1422781*y - 3036 = -1422873*y for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6.54 + 7. Let y = -0.25 + u. Let t = y - 0.61. What is the smallest value in 3\/2, t, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4347742 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-104)\/(-18) + -3 + 4\/18. Let c = 7\/16 - 17\/112. Factor 2\/7*u**4 - 2\/7*u**j + 2\/7*u + 0 - c*u**2.\nAnswer: 2*u*(u - 1)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 = 8*f + 121. Solve 4*u - 2*t + f = 0, 3*u - t - 2 = -4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 2*f + 26 = 0, -2*f - 30 = -r - 13 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.227053 to two decimal places.\nAnswer: -7.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(2 - 3\/2). Let q be 29 - (-1 + 4\/f). Suppose -2*u - u = -5*v - q, 4*v = 5*u - 51. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than 36167228?\nAnswer: 36167227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 3*x = -44. Let b = 26 - x. Let i be 40\/(-4)*2\/b. Is 0 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 615 and 2718915?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3469, -7136, -10793, -14434, -18053?\n\"Answer: o**3 - o**2 - 3671*o + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 16*o - 3. Let p be j(3). What is the highest common divisor of p and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of -8*z**3\/3 - 3*z**2\/2 + 5. Find the second derivative of v(r) wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 11*x**3 + 2*x**2 + 2*x - 3. Determine f(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -42079532 > 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 AM and 8:03 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*l - 3*l - 20. What is the remainder when l is divided by (-4)\/(-8) + (-3)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -42\/121 and 41\/88?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 416 a factor of 490464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -49, 4, 1 in descending order.\nAnswer: 4, 2, 1, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -17  (b) 0.1  (c) 16  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 729 - 697. Which is the nearest to -0.1?  (a) 1  (b) u  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 72 - 66. Suppose -10*a + 608 = -b*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 214*c = 209*c - 68245, -d + 13652 = -2*c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118118 + 1316*d - 118118.\nAnswer: 1316*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 37*i**3 - 6*i**2 + 7*i - 7. Let m(w) = -19*w**3 + 3*w**2 - 3*w + 3. Suppose -762 = -26*y - 580. What is y*m(q) + 3*n(q)?\nAnswer: -22*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -8*i**2. Let b(f) = 111 - 111 - 2*f. What is b(o(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-15)\/20 - (-35)\/4. Let w(u) = u**2 - 7*u + 3. Let c be w(d). Differentiate -c*l**2 - 2*l**2 + 6*l**2 - 5*l**2 + 6 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 141 divide 587929392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 3*j**2 - 3*j - 6. Suppose 52 - 60 = -4*s. Suppose -s*w + 5 - 2 = -3*n, -2*n = -w + 1. Let q(y) = y**2 + y + 1. What is w*q(g) + c(g)?\nAnswer: g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -8*y**3 + 1069*y**2 + y + 5. Let w(p) = -12*p**3 + 1602*p**2 + p + 7. Give -7*q(x) + 5*w(x).\nAnswer: -4*x**3 + 527*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 300 is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*p - 522. List the prime factors of p.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -264854*j**4 + 210*j**3 + 3633*j**2 + 18110*j - 2.\nAnswer: -6356496*j + 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25*j + 25*j**2 + 23*j**2 - 50*j**2 + (-8*j + 8*j - 13*j)*(-j + 3*j - j) + (2*j**2 + 2*j**2 - 5*j**2)*(1 + 0 + 1) - 3*j**2 - j**2 + 3*j**2.\nAnswer: -18*j**2 + 25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3486.98 + 3491. Let q = 0.1 + -0.12. Let k = q + g. Sort k, 3\/5, -0.4 in decreasing order.\nAnswer: k, 3\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 299 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -563, -1118, -1673, -2228, -2783, -3338?\n\"Answer: -555*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 101064563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -61892 equal to -61893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 238, 1111, 2624, 4777?\n\"Answer: 320*g**2 - 87*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 4*z + 46 = 0, 2*z - 67 = -2*c - 17. What is the greatest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 17 - 1680\/165 - (-14)\/(-2). What is the second smallest value in 1\/48, w, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 10:02 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1899517*k**3*u**2 - 488*k**2*u**2 - k**2*u - 28*k*u**2 + 4 wrt k?\nAnswer: -11397102*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2 = -6. Suppose -4*t = u*w - 204, -3*w = 2*t - 66 - 36. What is the third derivative of -t*y**5 + 17*y**5 + 18*y**5 + 3*y**2 - 4*y**5 wrt y?\nAnswer: -1200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-53 - -56) + ((-189)\/27 - (-2 - 57))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 - -10. Let w = l - -9. Sort 0, 2, w in descending order.\nAnswer: 2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 + 5*u**2 + u + 2. Let s be c(-4). Let g = -34 - -37. Suppose 74 - s = g*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.3 times 4537\nAnswer: -28583.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -345133*s**4 - 86467 wrt s?\nAnswer: -1380532*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -8. Suppose -w*q + 3*s - 5 = -0, -2*q + 2*s = 4. Is -1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5 + -1)*3\/(-4). Let q = 568\/2037 + 2\/291. Which is the closest to 0.07?  (a) -0.2  (b) q  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 + 3874?\nAnswer: 3867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.38 in -1\/9, 0.836, -3\/2, -2?\nAnswer: 0.836","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 71, 1, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2388 is divided by 74?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000004131 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 586141, 1172285, 1758427, 2344567, 2930705, 3516841, 4102975?\n\"Answer: -f**2 + 586147*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62)\/(-186) + (-2)\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**2 + 2*f**3 + f**2 + (-3 + 3 + f**3)*((-5 - 2 + 6)*(-2 + 0 + 1) - 35 - 11 + 26) to the form d*f + r*f**3 + g + w*f**2 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -102.0788 * -0.02\nAnswer: 2.041576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from clcciiclcaaaiia. What is prob of sequence il?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -1251 + 249. What is the remainder when r is divided by 47?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 12*i**2 - 21332*i + 56804. Determine q(1775).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14504 and 1960.\nAnswer: 72520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of 1\/6*l**6 + 0*l + 0*l**4 + 0*l**5 + 0*l**3 + 2 + 3\/2*l**2. What is the second derivative of y(z) wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -218 - -220. Suppose -3*o = 0, 0 = 4*k - o - x*o - 48. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 44571?\nAnswer: 44571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -3*o + 2. Let p(v) = v - 1. Let u(t) = f(t) + 2*p(t). Suppose -r - 6 + 23 = 0. Let i(q) = -2*q**2 + r - 17. Determine u(i(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002349 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(sqrt(256) + sqrt(256)*1))**2 + -4.\nAnswer: -511\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + 0. Let t(d) = 2*d + 8. Let x be t(-3). Solve f*r = 3*r + x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**3 + 26*d**2 - 24*d - 54. Give t(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*y + 2*y + 3*m + 1001, -3*m = 2*y - 505. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-194)\/(-18) - 4\/(-18). Let p = 21 - o. Calculate the greatest common divisor of p and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 70217524*k*z + 5*k + 543614*z - 419 wrt k.\nAnswer: 70217524*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-42)\/11 + 4\/(-22). Let q = h + 12. Suppose l + 4*v - 15 = -7, 0 = 4*l + 4*v - q. Solve c - 1 + 5 = l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 1 = -3*q, -2*p - p - 2*q = -8. Let a(u) = u**3 - 61*u**2 + 274*u + 360. Let d be a(56). Solve 4*r + 0*r + 4*x - d = 0, -2*x + p = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186808861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 138051271.1 + -33649\nAnswer: 138017622.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 AM and 9:48 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 + 13 = -10*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -192 by 2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 128410877 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence emmo when four letters picked without replacement from {e: 2, m: 2, y: 4, o: 2, q: 4}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 2622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 + 2*j + 1. Suppose 5*z - 3*c = 6*z - 141, 2*c = 3*z - 423. Suppose -148 + z = 7*f. Give v(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4302807 is divided by 907?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/38 and (-5372)\/380 + 7 - (-37 - -2)\/5.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 3*t**3 - 25*t + 32*t + 4 - t**3 as w*t + y*t**3 + s*t**2 + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 - (-5)\/2)*(0 - 2). Let o be (-6)\/(-33)*1 + (-20)\/f. Let i = 12 - 9. Solve o*y = -i + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*x - 5589 - 669 = 814 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 64\/487085 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of i**3\/3 - 1. Let c(b) = 13 - 19*b - 22*b + 45*b - 28. Give w(c(m)).\nAnswer: 16*m**2 - 120*m + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -93*i + 47*i - 56718. Is -0.9 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 9:53 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 23 = -k. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124155108 is divided by 1391.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*p + 7*p = 0. Let d(u) = 8*u + 2. Let i be d(0). Solve -2 = i*a - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 454350 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*h = -75*h + 136 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4025183753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 + (-22 - (-27 + -31)) + -25 + -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 6:21 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6924049 less than -0.62528?\nAnswer: -6924049.62528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 10*f - 5. Let z be k(4). Let h = z - 21. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1074947128\/5 or 214989427?\nAnswer: 214989427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*q**4 - 26*q**2 + 40 wrt q?\nAnswer: 12*q**3 - 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -7, 2, -1.\nAnswer: -7, -1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.15 + -1.85. Sort -0.2, -5, g.\nAnswer: -5, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22*l**6 - 3*l**3 - 295*l**2 wrt l.\nAnswer: 2640*l**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/18*-2)\/((-1672)\/6424) - (-980)\/2205.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -5*d + 18, -2*d - 4 = -3*j + 2*d. Let i(c) = c. Let p be i(j). Solve -2*n + 6 = 4*t - 0*t, -3*n = p*t - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1277, 1275, 1273, 1271, 1269, 1267?\nAnswer: 1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 - 2 + 2)*(-33 + 33 + 66*v) + v**3 + 0*v**3 + 0*v**3 + (0*v**2 - 3*v**2 + 5*v**2)*(0 + 0 - 2*v).\nAnswer: -201*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3046)\/(-3) + (-2)\/(-3). Suppose m + 17*b + 33 = 18*b, 0 = 2*m - 5*b + 84. Let r = u - m. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5465 - -1715. Round a to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = 3*j + 2604. What is the greatest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 156 and 23972.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 100\/(-55) + 2 + (90\/(-11) - -6). Let v = -0.4 + 0. Which is the nearest to -0.2?  (a) v  (b) z  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 + -12. Suppose y*o = -3*o + 12. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -245 and -8.5?\nAnswer: 236.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 9 + 13 = 2*n, 16 = 4*n + 8*l. Suppose 2*y = 7*y + 15. Let p(u) = -u. What is the least common multiple of n and p(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16.421 + 89.495. Let p = -73 + g. What is p rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8454964 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4663000?\nAnswer: 2, 5, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 453370504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 11*w + 14 = 4*c, -3*c + w = -12. Solve -5*u = -3*s + 5, 0*s + c*u = s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, t: 2, o: 1, i: 2, p: 2, b: 1}. Give prob of sequence ob.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 2*x - 6 = 0, -3*x = k - 13. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 66?  (a) 1\/2  (b) 4\/7  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - a, 0 = 13*p - 8*p - 6*p - 2*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - -2 - (0 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (21*y**3 + 160*y**3 + 13*y**3)*(8 - 2*y - 8) to t + w*y + i*y**4 + m*y**3 + d*y**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8245 - -8250. Solve 66*a - 18 = 70*a - 2*n, z*n - 17 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4499 and 2629?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 93341*s**5 + 55*s**2 - 31879012*s wrt s.\nAnswer: 1866820*s**3 + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.12 and -127701?\nAnswer: -15324.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(0 + -2*sqrt(684) + 3 + (sqrt(684) - 6*sqrt(684)*2) + (sqrt(684) + sqrt(684)*-2)*-5))**2.\nAnswer: -10368*sqrt(19) + 1576260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -18 - (-108 - (-120 + 8))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10*(-1)\/6)\/((-50)\/15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssssssarssssrrasps. What is prob of picking 1 p, 1 r, and 1 a?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by 1226?\nAnswer: 4\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*p**3*s**2 - 1621*p**3*s - 15*s**2 wrt s.\nAnswer: 10*p**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 10*r + 3. Let n be d(-10). Suppose -n = -f + 1. Suppose f*o = -2*j + 90, -5*o + 90 = -j - 4*j. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-15 + 3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 6*q**2 - 2*q - 3. Let z be w(3). Let r be z\/27*(-2)\/(-5). Suppose 0 + 2\/3*f**2 - 2\/3*f**4 + 0*f - 2\/3*f**3 + r*f**5 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 368337189 to the nearest integer?\nAnswer: 19192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5830 - -5830.3. Let k = -6 + 9. Which is the fourth biggest value?  (a) -0.1  (b) p  (c) k  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -31*d**4\/24 - 391*d**3\/6 - d**2 + 36. Let w be r(-13). Solve -2*k + 20 = 3*o, -k = -4*k + w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 152 by 749159.\nAnswer: 152\/749159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*j + 123*j - 3*k = -12, 9 = 3*j + 4*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 4*m**2 - 11*m - 8. What is u(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -2002?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 748677443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 5*t**2 + 2*t + 3. Let w be c(-6). Suppose 2*m = 8, 97 = 2*a + 4*m - w. Let h = a + -30. Solve 15 = -5*o, -5*s - 4*o = -o + h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4345700 to the nearest one hundred thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + v + 7*v - 52 = 7, 177*v - 171*v = 3*p + 51 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -10*z**5 + 7*z**4 - 2*z**2. Let n(j) = -3*j**5 + 2*j**4 - j**2. Let g(w) = 2*d(w) - 7*n(w). Find the third derivative of g(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -2*h**3 - h**2 - 5*h - 3. Calculate s(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifty-eight thirds of a century?\nAnswer: 23200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3101252 - 1986909. Suppose -3*j = n + 802657. Round j to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -694*m + 1387*m - 698*m - b = -13, -5*b - 10 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**2 + 2*d**2 - 3*d**2)*(4 - 4 + 2) + 2*d**2 + 0*d + 0*d - 3*d - 2*d**2 + 3*d + (5 - 1 - 2)*(-d**2 + 3*d**2 - 4*d**2) + 0*d**2 + 6*d**2 - d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 22240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 272*o - 266*o**3 - 274*o + 96*o**3 + 20.\nAnswer: -170*o**3 - 2*o + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 6*r + 11*r - 7*r. Let p(i) be the third derivative of i**4\/24 + 5*i**2 - 16*i. Calculate c(p(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**3*s)**(-17\/4) assuming s is positive.\nAnswer: s**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 8*x**3 + 4*x**2 - 95*x - 285. What is q(-3)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 52\/14 + (-8)\/(-28). Suppose 0 = -5*g - 3*s - 5, 3*g - q*g + 3*s = -17. What is the third derivative of -g*y**2 + 4*y**2 - 2*y**5 + 3*y**5 wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -9*n + 2. Let g(f) = 6*f + f - 11*f + 1. Let t be (-3)\/((-45)\/(-429)) - 6\/15. Let k = t - -27. Give k*p(o) + 5*g(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3)\/(3 + 6510\/(-2165)).\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -200 (base 9) to base 13\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 1\/((-3)\/12). Let d be r\/(-18)*-1 - 142\/9. Let v = 15 + d. Let h(n) = 10*n + 1. Give h(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.167+-173.23\nAnswer: -172.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {n: 16, l: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b - -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.232059 and -3?\nAnswer: 0.696177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*y + 37674 = -7*y. Calculate the greatest common divisor of 63 and y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*b**2*n**2*v**3 + 10*b**2*n**2*v + b**2*v - 2*b - 19*n*v**3 wrt n.\nAnswer: 12*b**2*v**3 + 20*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -7*g - 207. Let z be j(-30). Solve t - 20 = -z*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-947228.\nAnswer: -189445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2168, -3, -5, 678 in descending order.\nAnswer: 678, -3, -5, -2168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/144)\/((25\/(-15))\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 9:25 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 29*t + 4. Let d be n(2). What is the derivative of -14*r**2 - 19*r**2 - 16*r**2 + 30 + d*r**2 wrt r?\nAnswer: 26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 84, 262, 566, 1002, 1576, 2294, 3162, 4186?\nAnswer: 5372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -170, -346, -524, -704, -886, -1070?\n\"Answer: -g**2 - 173*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -30.2?  (a) -8\/3  (b) -3  (c) -1  (d) 1  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -941 - 1189 - 2389 = -1234*p - 817 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38581 + -38583. What is the fifth smallest value in -1\/9, -17, -2\/7, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in 5, 0, 1, 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of f**3\/15 - 4*f\/5 + 131. Factor i(d).\nAnswer: (d - 2)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 461 <= 448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + u - 166 = 342, -5*k + 1275 = 5*u. Let b = k - 134. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 55176 times 0.8?\nAnswer: 44140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4630000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2*(-1*(sqrt(72) + -1 + sqrt(72) - sqrt(72)) + sqrt(72)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 7956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*3*856\/1498.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3666589 is divided by 56409.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Find w such that -w**3\/2 - 7*w**2\/2 - 15*w\/2 - 9\/2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x. Let p(l) = 147*l - 54. Give p(f(w)).\nAnswer: -441*w - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -r + 3*v - 8*v, 2*r + 4*v + 16 = 0. Let u(d) = -d - 5. Let f be u(r). Suppose 2*y - 11 = f. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 69*f - 16. Let x(r) = 34*r - 7. What is -4*m(y) + 9*x(y)?\nAnswer: 30*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-j - 3*j + 2*j)*(2*j**2 + 0*j**2 + j**2) - 24*j**3 + 14*j**3 + 14*j**3 as p*j**2 + f*j + w*j**3 + m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -51 - -87. Suppose -4*k + t = -60, j = 3*k + t - 16. Suppose 314 - 74 = 5*m. Calculate the greatest common factor of k and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2100959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r**2 - 115*r + 71. Let y be w(57). Let j = 7 + -5. What is the derivative of y*u**j + 0*u**2 - 6 + 5*u**2 wrt u?\nAnswer: 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**4 - c**4 + 7*c**4)*(19 + 76 + 141 - 78 + 185).\nAnswer: 1372*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((96\/78)\/8 - 590\/3666)*12?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 + -30. Factor -1\/2*j + b + 1\/2*j**2.\nAnswer: j*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*222086\nAnswer: 44417.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -715314 divided by -119219\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.01, -3, 5, -0.5, 9, -54?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 263*i**2 - 22*i + 17. Let z(w) = 263*w**2 - 23*w + 16. Let p(l) = 3*b(l) - 2*z(l). What is the hundreds digit of p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 4*f**5 + 8*f**4 - 188*f**3 + 128*f**2 + 688*f - 640 = 0.\nAnswer: -8, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + 3 - (sqrt(2) - (5 + 2 + sqrt(2))))**2 - (sqrt(2) + -3 + 5 - (sqrt(128)*-3 - sqrt(128))).\nAnswer: 167*sqrt(2) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 359670812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -12*m + 122. Let r be s(10). Let v = 55\/104 + -2\/13. Sort v, -0.3, r.\nAnswer: -0.3, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1202.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 0.053326.\nAnswer: 0.159978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 10. Let z(u) = u**2 - u - 2. Let f(p) = p + 1. Let q(w) = d*f(w) - z(w). What is q(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.35 + 0.351. Let f = o + -1.001. Which is smaller: f or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -299208*l**3 + 460080*l wrt l.\nAnswer: -1795248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31791 - -31819. Solve q*z + 32 = 20*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, -1.5, -4\/3, -5.7, -6\/55, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {u: 5, n: 1, y: 1, z: 3, m: 6, b: 4}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 0*a - 2*s = 14, 5*a + 4*s - 60 = 0. Solve -4*v - 8 = 0, -5*v = -y - v + a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -26*g**3 + 6*g**2 + 10*g. Let t(p) = 5*p**3 - p**2 - 2*p. Suppose 31 = o - 5*z, 4*z = 3*z - 3. Determine o*t(i) + 3*c(i).\nAnswer: 2*i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1450 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5573 * 0.5386\nAnswer: 3001.6178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -96 (base 13) in base 3?\nAnswer: -11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 6 + 5 + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 7, j: 5, i: 7}. What is prob of picking 3 i?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*f - 3*f + 5*f + (-3*f + 3*f - f)*(-1 + 1 + 1) + 0 + 0 + 2*f - f - f + f in the form z*f + v and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 54 = 2*v, 2*v + 2*v - 42538 = 42544 - 85054 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 5*t - 6. Let i(r) = 21*r - 25. Let v(l) = -9*a(l) + 2*i(l). Let b be v(-3). Let n = b - 3. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 502*l**4 - 3*l - 54 wrt l.\nAnswer: 6024*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1304320 - 10?\nAnswer: -1304330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -5 + (sqrt(5) - sqrt(20)) + sqrt(10)\/(sqrt(4)\/sqrt(2)) + sqrt(320) + -1.\nAnswer: -10 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (-57 - -41 - -36).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.11, 7\/16, -3 in ascending order.\nAnswer: -3, -0.11, 7\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -103632695558777 minus -0.4?\nAnswer: -103632695558776.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 61, 19, -97, -323, -695, -1249?\n\"Answer: -6*g**3 - g**2 + 3*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**4 - 35136*n**3 - 81*n**2 + 948834*n - 1897344 = 0. Calculate n.\nAnswer: -6, 3, 11712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-143)\/((-59488)\/64) + -1*(-147)\/(-1716).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 29294610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -47*r**2 + 7*r**2 + 5*r**2 + 35*r**2 + 3*r**2. Let u(d) = 5*d**2 - 1187. Determine c(u(q)).\nAnswer: 75*q**4 - 35610*q**2 + 4226907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20586948 is divided by 6862310?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4\/7, 0.4, 583, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -2*s**3 + 6*s**2 + 6*s + 5. Let g(h) = h**3 - 2*h**2 - 2*h - 2. Let q(c) = 7*g(c) + 3*x(c). Give q(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*k**3 + 3*k**4 - 2*k**4 - 1 - 2*k - 5*k**3 - k**2 as r*k**2 + v*k + o*k**4 + m + u*k**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 29357, 29406, 29455?\n\"Answer: 49*r + 29308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*s**2 + 25*s**2 + 0*s + 2*s + 25 - 249*s**2.\nAnswer: -242*s**2 + 2*s + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 40\/10*9\/12. Suppose -6*w - h = -w - 52, -36 = -3*w - c*h. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 75*i**2 + 127*i + 1. Let v be y(-2). Calculate the highest common factor of v and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -6*d - 55. Let k be v(-9). Sort k, -0.03, 1, 2\/13 in decreasing order.\nAnswer: 1, 2\/13, -0.03, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/3705*18*(-5)\/(-2)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -6. Suppose 0 = 5*l - 15, -j + 4*l + 15 - x = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -194 - -211. Suppose -t = -i + 1, 4 = t - 4*i + z. Let k = 0.1 - 0.1. What is the smallest value in -4, k, 0.1, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*g + 936 = 78*g - 14*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 86, 2, 6418 in ascending order.\nAnswer: 2, 86, 6418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5045 - -5059. Let s = 6 - 4. Let p = -3.4 - -3. Sort p, y, s in increasing order.\nAnswer: p, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30302 (base 5) in base 13?\nAnswer: -b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 0*c + 12*c + 3*c - 19*c. Let p(j) = -113*j**2. Give i(p(q)).\nAnswer: 452*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2266296 and 534.\nAnswer: 2266296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -135952, -271907, -407864, -543823, -679784?\nAnswer: -815747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 7. Let d = 195 + -193. Which is the closest to s?  (a) d  (b) -2\/9  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -86122 * -149.\nAnswer: 12832178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 5 = -h, -5*h + h - 4*a = -8. Suppose -4*x = -x - 3*w - 18, 5*w = x - 14. Which is greater: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44883 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b**2 - 25*b + 12. What is the remainder when 240 is divided by y(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/35 and 79\/135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 + 9*s + 16. Let j be t(-8). Suppose 2*r - 2 = -3*k, k = 4*r + 3 + 7. Let w = 3 - k. Solve -3*i = -j - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}